CINXE.COM

<!doctype html><html><head><title>‪Wei Chen‬ - ‪Google Scholar‬</title><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="referrer" content="always"><meta name="viewport" content="width=device-width,initial-scale=1,minimum-scale=1,maximum-scale=2"><meta name="format-detection" content="telephone=no"><link rel="shortcut icon" href="/favicon.ico"><link rel="canonical" href="https://scholar.google.com/citations?user=0rZ39wYAAAAJ&hl=en"><meta name="description" content="‪Sr. Research Investigator at Bristol-Myers Squibb Co.‬ - ‪‪Cited by 131,818‬‬ - ‪Pharmaceutical Development‬ - ‪Chemical Engineering‬ - ‪CFD‬ - ‪DEM Modeling‬"><meta property="og:description" content="‪Sr. Research Investigator at Bristol-Myers Squibb Co.‬ - ‪‪Cited by 131,818‬‬ - ‪Pharmaceutical Development‬ - ‪Chemical Engineering‬ - ‪CFD‬ - ‪DEM Modeling‬"><meta property="og:title" content="Wei Chen"><meta property="og:image" content="https://scholar.google.co.in/citations/images/avatar_scholar_256.png"><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>html,body,form,table,div,h1,h2,h3,h4,h5,h6,img,ol,ul,li,button{margin:0;padding:0;border:0;}table{border-collapse:collapse;border-width:0;empty-cells:show;}html,body{height:100%}#gs_top{position:relative;box-sizing:border-box;min-height:100%;min-width:964px;-webkit-tap-highlight-color:rgba(0,0,0,0);}#gs_top>*:not(#x){-webkit-tap-highlight-color:rgba(204,204,204,.5);}.gs_el_ph #gs_top,.gs_el_ta #gs_top{min-width:320px;}#gs_top.gs_nscl{position:fixed;width:100%;}body,td,input,button{font-size:13px;font-family:Arial,sans-serif;line-height:1.24;}body{background:#fff;color:#222;-webkit-text-size-adjust:100%;-moz-text-size-adjust:none;}.gs_gray{color:#777777}.gs_red{color:#dd4b39}.gs_grn{color:#006621}.gs_lil{font-size:11px}.gs_med{font-size:16px}.gs_hlt{font-weight:bold;}a:link{color:#1a0dab;text-decoration:none}a:visited{color:#660099;text-decoration:none}a:hover,a:hover .gs_lbl{text-decoration:underline}a:active,a:active .gs_lbl,a .gs_lbl:active{color:#d14836}.gs_el_tc a:hover,.gs_el_tc a:hover .gs_lbl{text-decoration:none}.gs_pfcs a:focus,.gs_pfcs button:focus,.gs_pfcs input:focus,.gs_pfcs label:focus{outline:none}.gs_a,.gs_a a:link,.gs_a a:visited{color:#006621}.gs_a a:active{color:#d14836}a.gs_fl:link,.gs_fl a:link{color:#1a0dab}a.gs_fl:visited,.gs_fl a:visited{color:#660099}a.gs_fl:active,.gs_fl a:active{color:#d14836}.gs_fl{color:#777777}.gs_ctc,.gs_ctu{vertical-align:middle;font-size:11px;font-weight:bold}.gs_ctc{color:#1a0dab}.gs_ctg,.gs_ctg2{font-size:13px;font-weight:bold}.gs_ctg{color:#1a0dab}a.gs_pda,.gs_pda a{padding:7px 0 5px 0}.gs_alrt{background:#f9edbe;border:1px solid #f0c36d;padding:0 16px;text-align:center;box-shadow:0 2px 4px rgba(0,0,0,.2);border-radius:2px;}.gs_alrt:empty{display:none;}.gs_spc{display:inline-block;width:12px}.gs_br{width:0;font-size:0}.gs_ibl{display:inline-block;}.gs_scl:after{content:"";display:table;clear:both;}.gs_ind{padding-left:8px;text-indent:-8px}.gs_ico,.gs_icm{display:inline-block;background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png);background-position:-23px -161px;background-size:169px;width:21px;height:21px;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){.gs_ico,.gs_icm{background-image:url(/intl/en/scholar/images/2x/sprite_20161020.png);}}.gs_el_ta .gs_nta,.gs_ota,.gs_el_ph .gs_nph,.gs_oph{display:none}.gs_el_ta .gs_ota,.gs_el_ph .gs_oph{display:inline}.gs_el_ta div.gs_ota,.gs_el_ph div.gs_oph{display:block}.gs_sth_g{visibility:hidden;max-height:0;}.gs_sth_vis .gs_sth_g{max-height:1000px;}.gs_sth_vis .gs_sth_b{position:fixed;top:0;}.gs_sth_trk .gs_sth_b{position:absolute;top:auto;}@keyframes gs_anm_spin{0%{transform:rotate(0deg);}100%{transform:rotate(360deg);}}.gs_invis{visibility:hidden;}.gs_rimg{display:block;background-color:#e5e5e5;border-radius:50%;overflow:hidden;position:relative;z-index:1;}.gs_rimg>img{position:absolute;margin:auto;left:0;top:0;bottom:0;right:0;}.gs_in_txtw{display:inline-block;vertical-align:middle;}.gs_in_txtb{display:block;}.gs_in_txt{color:#000;background-color:#fff;font-size:16px;box-sizing:border-box;height:29px;line-height:23px;border:1px solid #d9d9d9;border-top-color:#c0c0c0;padding:3px 6px 1px 8px;border-radius:1px;outline:none;-webkit-appearance:none;-moz-appearance:none;}.gs_el_tc .gs_in_txt{font-size:18px;}.gs_in_txtb .gs_in_txt{width:100%;}.gs_in_rnd .gs_in_txt{border-radius:14.5px;padding:3px 12px 1px 12px;}.gs_in_txt:hover{border-color:#b9b9b9;border-top-color:#a0a0a0;box-shadow:inset 0 1px 2px rgba(0,0,0,.1);}.gs_in_txte .gs_in_txt{border-color:#dd4b39;}.gs_in_txt:focus{border-color:#4d90fe;box-shadow:inset 0 1px 2px rgba(0,0,0,.3);}.gs_in_txt:disabled{color:#b8b8b8;border-color:#f1f1f1;box-shadow:none;}.gs_in_txtm .gs_in_txt{font-size:13px;height:24px;line-height:16px;padding:3px 6px;}.gs_in_txtm.gs_in_rnd .gs_in_txt{border-radius:12px;}.gs_el_tc .gs_in_txtm .gs_in_txt{height:29px;line-height:21px;}.gs_el_tc .gs_in_txtm.gs_in_rnd .gs_in_txt{border-radius:14.5px;}.gs_in_txtl .gs_in_txt{height:41px;padding:9px 43px;}.gs_in_txtl.gs_in_rnd .gs_in_txt{border-radius:20.5px;}.gs_in_txts{font-size:13px;line-height:18px;color:#666;}.gs_in_txts:not(:empty){margin-top:2px;}.gs_in_txte .gs_in_txts{color:#dd4b39;}button{position:relative;z-index:1;box-sizing:border-box;font-size:13px;cursor:pointer;height:29px;line-height:normal;min-width:72px;padding:0 8px;color:#444;border:1px solid rgba(0,0,0,.1);border-radius:3px;text-align:center;background-color:#f5f5f5;-ms-user-select:none;user-select:none;}button.gs_btn_rnd{border-radius:14px;padding:0 12px;}button.gs_btn_rnd.gs_btn_rndci{padding-left:4px;}button.gs_btn_lrge{height:41px;min-width:82px;padding:0 9px;}button.gs_btn_lrge.gs_btn_lrge_asym{padding-left:5px;padding-right:8px;}button.gs_btn_lrge.gs_btn_rnd{border-radius:20px;padding:0 16px;}button.gs_btn_lrge.gs_btn_rnd.gs_btn_rndci{padding-left:10px;}button.gs_btn_cir{border-radius:14.5px;min-width:29px;}button.gs_btn_lrge.gs_btn_cir{border-radius:20.5px;min-width:41px;}button.gs_btn_mini{padding:0;border:0;}.gs_el_ph button.gs_btn_mph,.gs_el_ta button.gs_btn_mta{height:41px;}button .gs_wr{position:relative;display:inline-block;width:100%;height:100%;}button .gs_wr:before{content:"";width:0;height:100%;}button .gs_wr:before,button .gs_ico,button .gs_rdt,button .gs_lbl,button .gs_icm{display:inline-block;vertical-align:middle;}button .gs_wr{font-size:13px;text-transform:none;}.gs_btn_lrge .gs_wr{font-size:15px;}.gs_btn_lsb .gs_wr{font-size:11px;font-weight:bold;}.gs_btn_lsu .gs_wr{font-size:11px;text-transform:uppercase;}.gs_btn_lrge.gs_btn_lsb .gs_wr,.gs_btn_lrge.gs_btn_lsu .gs_wr,.gs_btn_lrge.gs_btn_lrge_asym .gs_wr{font-size:13px;}.gs_btn_half,.gs_el_ta .gs_btn_hta,.gs_el_ph .gs_btn_hph{min-width:36px;}.gs_btn_lrge.gs_btn_half,.gs_el_ta .gs_btn_lrge.gs_btn_hta,.gs_el_ph .gs_btn_lrge.gs_btn_hph,.gs_el_ta .gs_btn_mta,.gs_el_ph .gs_btn_mph{min-width:41px;}.gs_btn_slt{border-radius:3px 0 0 3px;}.gs_btn_srt{margin-left:-1px;border-radius:0 3px 3px 0;}.gs_btn_smd{margin-left:-1px;border-radius:0;}button:hover{z-index:2;color:#222;border-color:rgba(0,0,0,.2);background-color:#f8f8f8;}button.gs_sel{background-color:#dcdcdc;}button:active{z-index:2;background-color:#f1f1f1;}button:focus{z-index:2;}button::-moz-focus-inner{padding:0;border:0}button:-moz-focusring{outline:1px dotted ButtonText}.gs_pfcs button:-moz-focusring{outline:none}a.gs_in_ib{position:relative;display:inline-block;line-height:16px;padding:6px 0 7px 0;-ms-user-select:none;user-select:none;}a.gs_btn_lrge{height:40px;padding:0;}a.gs_in_bgcw{min-width:41px;}a.gs_btn_lrge.gs_in_bgcw:before{position:absolute;content:"";height:29px;width:29px;top:6px;left:6px;background-color:#fff;box-shadow:0 1px 3px rgb(0,0,0,.4);border-radius:50%;}a.gs_in_bgcw:hover:before{background-color:#f5f5f5;}a.gs_in_bgcw:active:before{background-color:#e5e5e5;}a.gs_in_bgcw.gs_dis:before{background-color:#fff;}a.gs_in_ib .gs_lbl{display:inline-block;padding-left:21px;color:#222;}a.gs_in_ib.gs_in_gray .gs_lbl{color:#444;}a.gs_in_ib .gs_lbl:not(:empty){padding-left:29px;}button.gs_in_ib .gs_lbl:not(:empty){padding-left:4px;}a.gs_in_ib:active .gs_lbl,a.gs_in_ib .gs_lbl:active,a.gs_in_ib :active~.gs_lbl{color:#d14836;}.gs_el_ta .gs_btn_hta .gs_lbl,.gs_el_ph .gs_btn_hph .gs_lbl,.gs_el_ta .gs_btn_mta .gs_lbl,.gs_el_ph .gs_btn_mph .gs_lbl,.gs_el_ta .gs_btn_cta .gs_lbl,.gs_el_ph .gs_btn_cph .gs_lbl{display:none;}a.gs_in_ib .gs_ico{position:absolute;top:3px;left:0;}.gs_in_ib.gs_md_li .gs_ico{left:14px;}.gs_el_tc .gs_in_ib.gs_md_li .gs_ico{top:11px;}.gs_in_ib.gs_md_li.gs_md_lix .gs_ico{top:10px;left:16px;}a.gs_btn_lrge .gs_ico{top:50%;left:50%;margin:-10.5px 0 0 -10.5px;}.gs_in_ib .gs_ico{opacity:.55;}.gs_in_ib:hover .gs_ico{opacity:.72;}.gs_in_ib:active .gs_ico,.gs_in_ib .gs_ico:active,.gs_in_ib :active~.gs_ico{opacity:1;}.gs_in_ib:disabled .gs_ico,.gs_in_ib.gs_dis .gs_ico{opacity:.28;}.gs_in_ib.gs_btn_act .gs_ico,.gs_in_ib.gs_btn_cre .gs_ico{opacity:1;}.gs_btn_act:disabled .gs_ico,.gs_btn_cre:disabled .gs_ico{opacity:.72;}.gs_rdt{position:relative;width:0;height:21px;}a.gs_in_ib .gs_rdt{left:21px;}.gs_rdt:before{content:"";position:absolute;top:1px;right:0;width:5px;height:5px;border:1px solid #fff;border-radius:50%;background-color:#dd4b39;}.gs_notf{display:inline-block;vertical-align:top;margin-left:8px;width:16px;line-height:16px;background-color:#d14836;border-radius:50%;color:#fff;text-align:center;font-size:9px;font-weight:bold;}.gs_notf:empty{display:none;}.gs_ind .gs_notf{text-indent:0;}button.gs_btn_flat{border-color:transparent;background-color:transparent;}button.gs_btn_olact{color:#4d90fe;background-color:transparent;}button.gs_btn_flat:hover,button.gs_btn_olact:hover{background-color:rgba(0,0,0,.05);}button.gs_btn_flat:active,button.gs_btn_olact:active{background-color:rgba(0,0,0,.1);}button.gs_btn_flat.gs_btn_flact{color:#1a0dab;}button.gs_btn_act{color:#fff;background-color:#4d90fe;}button.gs_btn_act:hover{color:#fff;background-color:#3983fe;}button.gs_btn_act.gs_sel{background-color:#2f6bcc;}button.gs_btn_act:active{background-color:#357ae8;}button.gs_btn_cre{color:#fff;background-color:#d14836;}button.gs_btn_cre:hover{color:#fff;background-color:#c53727;}button.gs_btn_cre.gs_sel{background-color:#992b1e;}button.gs_btn_cre:active{background-color:#b0281a;}button.gs_btn_hov_nobg:hover,button.gs_btn_hov_nobg:active{border:none;background:transparent;}button:disabled,button:disabled:hover,button:disabled:active{cursor:default;color:#b8b8b8;border-color:rgba(0,0,0,.05);background-color:transparent;z-index:0;}button.gs_btn_flat:disabled{color:#b8b8b8;border-color:transparent;}button.gs_btn_act:disabled{color:#fff;background-color:#a6c8ff;}button.gs_btn_cre:disabled{color:#fff;background-color:#e8a49b;}a.gs_in_ib.gs_dis{cursor:default;pointer-events:none}a.gs_in_ib.gs_dis .gs_lbl{color:#b8b8b8;text-decoration:none}.gs_ttp{position:absolute;top:100%;right:50%;z-index:10;pointer-events:none;visibility:hidden;opacity:0;transition:visibility 0s .13s,opacity .13s ease-out;}button:hover .gs_ttp,button:focus .gs_ttp,a:hover .gs_ttp,a:focus .gs_ttp{transition:visibility 0s .3s,opacity .13s ease-in .3s;visibility:visible;opacity:1;}.gs_md_tb.gs_sel .gs_ttp{transition:none;visibility:hidden;}button.gs_btn_lrge.gs_btn_cir .gs_ttp{top:75%;}.gs_ttp .gs_aro,.gs_ttp .gs_aru{position:absolute;top:-2px;right:-5px;width:0;height:0;line-height:0;font-size:0;border:5px solid transparent;border-top:none;border-bottom-color:#595959;z-index:1;}.gs_ttp .gs_aro{top:-3px;right:-6px;border-width:6px;border-top:none;border-bottom-color:white;}.gs_ttp .gs_txt{display:block;position:relative;top:2px;right:-50%;padding:4px 6px;background:#595959;color:white;font-size:11px;font-weight:bold;line-height:normal;white-space:nowrap;border:1px solid white;border-radius:3px;box-shadow:inset 0 1px 4px rgba(0,0,0,.2);}.gs_press,.gs_in_se,.gs_tan{touch-action:none;}.gs_in_se .gs_lbl:not(:empty){padding-right:14px;}.gs_in_se .gs_icm{position:absolute;top:50%;margin-top:-5.5px;right:0;width:7px;height:11px;background-position:-21px -88px;opacity:.55;}.gs_in_se:hover .gs_icm{opacity:.72;}.gs_in_se:active .gs_icm{opacity:1;}.gs_in_se:disabled .gs_icm{opacity:.28;}.gs_el_ta .gs_btn_hta .gs_icm,.gs_el_ph .gs_btn_hph .gs_icm,.gs_el_ta .gs_btn_mta .gs_icm,.gs_el_ph .gs_btn_mph .gs_icm,.gs_el_ta .gs_btn_cta .gs_icm,.gs_el_ph .gs_btn_cph .gs_icm{display:none;}.gs_btn_mnu .gs_icm{margin-top:-3.5px;height:7px;background-position:0 -110px;}.gs_in_se.gs_btn_act .gs_icm,.gs_in_se.gs_btn_cre .gs_icm{margin-top:-3.5px;height:7px;background-position:-42px -44px;opacity:1;}.gs_btn_act:disabled .gs_icm,.gs_btn_cre:disabled .gs_icm{opacity:.72;}button.gs_btnG .gs_ico{width:21px;height:21px;background-position:-92px -253px;}button .gs_bs{position:absolute;top:50%;left:50%;margin-top:-10px;margin-left:-10px;box-sizing:border-box;width:20px;height:20px;border-radius:50%;border:2px solid #eee;border-top-color:#4d90fe;visibility:hidden;animation:gs_anm_spin .8s linear infinite;}button.gs_bsp .gs_bs{visibility:visible;transition:visibility 0s .4s;}.gs_md_d{text-transform:none;white-space:nowrap;position:absolute;top:0;left:0;border:1px solid #ccc;border-color:rgba(0,0,0,.2);background:#fff;box-shadow:0 2px 4px rgba(0,0,0,.2);z-index:1100;text-align:left;visibility:hidden;max-height:0;margin-top:-1000px;opacity:0;transition:opacity .13s,visibility 0s .13s,max-height 0s .13s,margin-top 0s .13s;}.gs_md_d.gs_vis{visibility:visible;max-height:10000px;margin-top:0;opacity:1;transition:all 0s;}.gs_el_tc .gs_md_d{transform-origin:100% 0;transform:scale(1,0);transition:opacity .218s ease-out,transform 0s .218s,visibility 0s .218s,max-height 0s .218s,margin-top 0s .218s;}.gs_el_tc .gs_md_d.gs_ttzi{transform-origin:50% 50%;transform:scale(0,0);}.gs_el_tc .gs_md_d.gs_ttzr{transform:scale(0,0);}.gs_el_tc .gs_md_d.gs_vis{transform:scale(1,1);transition:transform .218s ease-out;}.gs_md_r{position:relative;display:inline-block;}.gs_md_rmb>.gs_md_d{top:29px}.gs_md_rmbl>.gs_md_d{top:41px}.gs_md_ul{list-style-type:none;word-wrap:break-word;display:inline-block;vertical-align:top;}.gs_md_ul.gs_md_ul_tb{display:block;}.gs_md_li,.gs_in_cb.gs_md_li,.gs_md_li:link,.gs_md_li:visited{display:block;padding:6px 44px 6px 16px;font-size:13px;line-height:16px;color:#222;cursor:pointer;text-decoration:none;position:relative;z-index:0;}a.gs_md_li:hover .gs_lbl,a.gs_md_li:active .gs_lbl{text-decoration:none}.gs_el_tc .gs_md_li{padding-top:14px;padding-bottom:10px;}.gs_md_li.gs_md_lix{font-size:16px;line-height:20px;padding:12px 16px 8px 16px;}.gs_md_li:before{content:"";background-color:#f1f1f1;position:absolute;left:0;right:0;top:0;bottom:0;opacity:0;transition:opacity .13s;z-index:-1;}.gs_md_li:hover:before,.gs_md_li:focus:before{opacity:1;transition:all 0s;}a.gs_in_ib.gs_md_li .gs_lbl{color:#222}a.gs_in_ib.gs_md_li.gs_in_gray .gs_lbl{color:#444}.gs_md_li:active:before{background-color:#ddd}.gs_md_li.gs_sel,a.gs_in_ib.gs_md_li.gs_sel .gs_lbl{color:#d14836}.gs_md_d:focus,.gs_md_li:focus{outline:none}a.gs_md_lix .gs_lbl,a.gs_md_lix .gs_lbl:not(:empty){padding:0 0 0 40px;}a.gs_in_cb:link,a.gs_in_cb:visited,a.gs_in_cb:active,a.gs_in_cb:hover{cursor:pointer;color:#222;text-decoration:none;}.gs_in_cb,.gs_in_ra{position:relative;line-height:16px;display:inline-block;-ms-user-select:none;user-select:none;}.gs_in_cb.gs_md_li{padding:6px 44px 6px 16px;}.gs_in_cb input,.gs_in_ra input{position:absolute;top:1px;left:1px;width:15px;height:15px;margin:0;padding:0;opacity:0;z-index:2;}.gs_in_ra input{top:0;left:0}.gs_el_tc .gs_in_cb input{top:9px}.gs_el_tc .gs_in_ra input{top:8px}.gs_in_cb.gs_in_cbj input{top:15px;left:15px}.gs_in_cb label,.gs_in_cb .gs_lbl,.gs_in_ra label{display:inline-block;padding-left:21px;min-height:16px;}.gs_in_ra_lrge{font-size:15px;}.gs_in_cb label:empty:before,.gs_in_cb .gs_lbl:empty:before,.gs_in_ra label:empty:before{content:"\200b";}.gs_el_tc .gs_in_cb label,.gs_el_tc .gs_in_cb .gs_lbl,.gs_el_tc .gs_in_ra label{padding-top:8px;padding-bottom:5px;}.gs_in_cb.gs_in_cbj label,.gs_in_cb.gs_in_cbj .gs_lbl{padding:13px 0 12px 41px;}.gs_in_cbb,.gs_in_cbb label,.gs_in_cbb .gs_lbl{display:block;}.gs_in_cb .gs_cbx,.gs_in_ra .gs_cbx{position:absolute}.gs_in_cb .gs_cbx{top:2px;left:2px;width:11px;height:11px;border:1px solid #c6c6c6;border-radius:1px;}.gs_md_li .gs_cbx{top:8px;left:18px}.gs_el_tc .gs_in_cb .gs_cbx{top:10px}.gs_el_tc .gs_md_li .gs_cbx{top:16px}.gs_in_cb.gs_in_cbj .gs_cbx{top:15px;left:15px}.gs_el_tc .gs_in_ra .gs_cbx{top:8px}.gs_in_ra .gs_cbx{top:0;left:0;border:1px solid #c6c6c6;width:13px;height:13px;border-radius:7px;}.gs_in_cb:hover .gs_cbx,.gs_in_ra:hover .gs_cbx{border-color:#666;box-shadow:inset 0 1px 1px rgba(0,0,0,.1);}button.gs_in_cb:hover .gs_cbx{border-color:#c6c6c6;}.gs_in_cb :focus~label,.gs_in_ra :focus~label{outline:1px dotted #222;}.gs_pfcs .gs_in_cb :focus~label,.gs_pfcs .gs_in_ra :focus~label{outline:none;}.gs_in_cb:active .gs_cbx,.gs_in_ra:active .gs_cbx,.gs_in_cb .gs_cbx:active,.gs_in_ra .gs_cbx:active,.gs_in_cb :active~.gs_cbx,.gs_in_ra :active~.gs_cbx{border-color:#666;background-color:#ebebeb;}button.gs_in_cb:active .gs_cbx{border-color:#a6a6a6;}.gs_in_cb :disabled~.gs_cbx,.gs_in_ra :disabled~.gs_cbx,button.gs_in_cb:disabled .gs_cbx{border-color:#f1f1f1;box-shadow:none;}.gs_in_cb :disabled~label,.gs_in_ra :disabled~label{color:#b8b8b8;}.gs_in_cb.gs_err .gs_cbx{border-color:#eda29b;}.gs_in_cb .gs_chk,.gs_in_ra .gs_chk{position:absolute;z-index:1;top:-3px;left:-2px;width:21px;height:21px;}.gs_md_li .gs_chk{top:3px;left:14px}.gs_el_tc .gs_in_cb .gs_chk{top:5px}.gs_el_tc .gs_md_li .gs_chk{top:11px}.gs_in_cb.gs_in_cbj .gs_chk{top:10px;left:11px}.gs_in_ra .gs_chk{top:4px;left:4px;width:7px;height:7px;border-radius:4px;}.gs_el_tc .gs_in_ra .gs_chk{top:12px}.gs_in_cb input:checked~.gs_chk,.gs_in_cb.gs_sel .gs_chk{background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png) -69px -67px;opacity:.62;}.gs_in_ra input:checked~.gs_chk{background-color:#666}.gs_in_cb.gs_par .gs_chk{background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png) -21px -44px;opacity:.55;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){.gs_in_cb input:checked~.gs_chk,.gs_in_cb.gs_sel .gs_chk,.gs_in_cb.gs_par .gs_chk{background-image:url(/intl/en/scholar/images/2x/sprite_20161020.png);background-size:169px;}}.gs_in_cb input:checked:disabled~.gs_chk{opacity:.22}.gs_in_ra input:checked:disabled~.gs_chk{background-color:#f1f1f1}.gs_ico_x{background-position:-113px -22px;opacity:.55;}.gs_ico_x:hover{opacity:.72;}.gs_ico_x:active{opacity:1;}.gs_ico_X{background-position:-71px 0;opacity:.55;}.gs_ico_X:hover{opacity:.72;}.gs_ico_X:active{opacity:1;}.gs_btnX .gs_ico{background-position:-71px 0;}.gs_el_tc .gs_ico_Xt{background-origin:content-box;background-clip:content-box;padding:10px 6px 10px 14px;}.gs_ico_P{background-position:0 0;opacity:.55;}.gs_ico_P:hover{opacity:.72;}.gs_ico_P:active{opacity:1;}.gs_btnP .gs_ico{background-position:-21px 0;}.gs_btnC .gs_ico{background-position:0 -66px;}.gs_btnL .gs_ico{background-position:-92px -44px;}.gs_ico_LB{background-position:-50px -44px;height:16px;}.gs_btnJ .gs_ico{background-position:-92px -22px;}.gs_btnM .gs_ico{background-position:-92px 0;}.gs_btnMW .gs_ico{background-position:-21px -22px;}.gs_btnSB .gs_ico{background-position:0 -44px;}.gs_btnTSB .gs_ico{background-position:-115px -253px;}.gs_btnPL .gs_ico{background-position:-148px -66px;}.gs_btnPR .gs_ico{background-position:-21px -66px;}.gs_btnPLW .gs_ico{background-position:-0 -230px;}.gs_btnPRW .gs_ico{background-position:-23px -230px;}.gs_btnZI .gs_ico{background-position:-148px -22px;}.gs_btnZO .gs_ico{background-position:-127px -44px;}.gs_btnDE .gs_ico{background-position:-134px 0;}.gs_btnFI .gs_ico{background-position:-50px -66px;}.gs_btnAD .gs_ico{background-position:-141px -88px;opacity:.55;}.gs_btnAD:hover .gs_ico{opacity:.72;}.gs_btnAD:active .gs_ico,.gs_btnAD .gs_ico:active,.gs_btnAD :active~.gs_ico{opacity:1;}.gs_btnBA .gs_ico{background-position:-50px -22px;}.gs_btnADD .gs_ico{background-position:-92px -66px;}.gs_btnMRG .gs_ico{background-position:-113px 0;}.gs_btnLBL .gs_ico{background-position:0 -161px;}.gs_btnCNCL .gs_ico{background-position:-71px 0;}.gs_btnDWL .gs_ico{background-position:-28px -88px;}.gs_btnMNU .gs_ico{background-position:0 -88px;}.gs_btnMNT .gs_ico{background-position:-46px -161px;}.gs_btnALT .gs_ico{background-position:-92px -161px;}.gs_btnART .gs_ico{background-position:-115px -161px;}.gs_btnGSL .gs_ico{background-position:-69px -161px;}.gs_btnCLS .gs_ico{background-position:-138px -161px;}.gs_btnXBLU .gs_ico{background-position:-138px -253px;}.gs_btnSSB .gs_ico{background-position:0 -276px;}.gs_btnSSW .gs_ico{background-position:-23px -276px;}.gs_btnFLT .gs_ico{background-position:0 -184px;}.gs_btnXT .gs_ico{background-position:-46px -184px;}.gs_btnPD .gs_ico{background-position:-69px -184px;}.gs_btnPU .gs_ico {background-position:-92px -276px;}.gs_btnCP .gs_ico{background-position:-92px -184px;}.gs_btnTP .gs_ico{background-position:-138px -184px;}.gs_btnML .gs_ico{background-position:-115px -276px;}.gs_btnCHK .gs_ico{background-position:-71px -66px;}.gs_btnDNB .gs_ico{background-position:-115px -230px;}.gs_btnDNW .gs_ico{background-position:0 -207px;}.gs_btnACA .gs_ico{background-position:-23px -207px;}.gs_btnAPT .gs_ico{background-position:-46px -207px;}.gs_btnAPTW .gs_ico{background-position:-92px -230px;}.gs_btnAFL .gs_ico{background-position:-69px -207px;}.gs_btnAN .gs_ico{background-position:-46px -276px;}.gs_btnAI .gs_ico{background-position:-69px -276px;}.gs_btnPBL .gs_ico{background-position:-92px -207px;}.gs_btnUCT .gs_ico{background-position:-115px -207px;}.gs_btnVRF .gs_ico{background-position:-138px -207px;}.gs_btnLSI .gs_ico{background-position:-46px -230px;}.gs_btnLSG .gs_ico{background-position:-69px -230px;}.gs_btnMOR .gs_ico{background-position:-23px -253px;}.gs_btnADV .gs_ico{background-position:-46px -253px;}.gs_btnPRO .gs_ico{background-position:-69px -253px;}.gs_ico_star{background-position:-71px -44px;width:13px;height:13px;}.gs_btnPLSW .gs_ico{background-position:-138px -230px;}.gs_btnPDF .gs_ico{background-position:0 -253px;}.gs_btnS .gs_ico{background-position:-138px -276px;}.gs_btnUNS .gs_ico{background-position:0 -299px;}.gs_btnMORR .gs_ico{background-position:-23px -299px;}.gs_btnTW .gs_ico{background-position:-46px -299px;}.gs_btnIN .gs_ico{background-position:-69px -299px;}.gs_btnFB .gs_ico{background-position:-92px -299px;}.gs_btnET .gs_ico{background-position:-115px -299px;}.gs_btnARC .gs_ico{background-position:-138px -299px;}.gs_btnOL .gs_ico{background-position:0px -322px;}.gs_btnFA .gs_ico{background-position:-23px -322px;}.gs_btnFAD .gs_ico{background-position:-46px -322px;}.gs_btnHP .gs_ico{background-position:-69px -322px;}.gs_btnPLM .gs_ico{background-position:-92px -322px;}.gs_btnPRM .gs_ico{background-position:-115px -322px;}.gs_btnRN .gs_ico{background-position:-138px -322px;}.gs_btnVF .gs_ico{background-position:0px -345px;}.gs_btnVP .gs_ico{background-position:-23px -345px;}.gs_btnSRT .gs_ico{background-position:-46px -345px;}#gs_md_s.gs_hdr_drs{transition:opacity .15s,visibility 0s .15s;}#gs_md_s.gs_hdr_drs.gs_vis{transition:opacity .15s,visibility 0s;}.gs_el_tc #gs_md_s.gs_hdr_drs{transition:opacity .218s,visibility 0s .218s;}.gs_el_tc #gs_md_s.gs_hdr_drs.gs_vis{transition:opacity .218s,visibility 0s;}#gs_hdr_drw{position:fixed;top:0;left:0;height:100%;z-index:1200;visibility:hidden;overflow:auto;width:228px;background-color:#fff;box-shadow:2px 2px 4px rgba(0,0,0,.15);outline:none;transform:translate(-100%,0);transition:transform .15s ease-in-out,visibility 0s .15s;}#gs_hdr_drw.gs_vis{visibility:visible;transform:translate(0,0);transition:transform .15s ease-in-out,visibility 0s;}.gs_el_tc #gs_hdr_drw{transition:transform .3s cubic-bezier(.4,0,.6,1),visibility 0s .3s;}.gs_el_tc #gs_hdr_drw.gs_vis{transition:transform .225s cubic-bezier(0,0,.2,1),visibility 0s;}#gs_top #gs_hdr_drw.gs_abt,#gs_top #gs_md_s.gs_abt{transition:none;}#gs_hdr_drw_in{position:relative;box-sizing:border-box;min-height:100%;padding:0 0 8px 0;}.gs_el_ta #gs_hdr_drw_in,.gs_el_ph #gs_hdr_drw_in{padding:0 0 65px 0;}#gs_hdr_drw_top{position:relative;height:63px;border-bottom:1px solid #e5e5e5;margin-bottom:8px;}.gs_el_ta #gs_hdr_drw_top,.gs_el_ph #gs_hdr_drw_top{height:57px;}#gs_hdr_drw_mnu,#gs_hdr_drw_lgo{position:absolute;top:0;height:100%;}#gs_hdr_drw_mnu{left:0;width:55px;}#gs_hdr_drw_lgo{left:56px;}.gs_hdr_drw_sec:before{display:block;content:" ";height:0;border-bottom:1px solid #e5e5e5;margin:8px 0;}.gs_hdr_drw_sec:first-child:before{display:none;}#gs_hdr_drw_bot{display:none;}.gs_el_ta #gs_hdr_drw_bot,.gs_el_ph #gs_hdr_drw_bot{display:block;position:absolute;left:0;bottom:0;width:100%;height:65px;}#gs_hdr_drw_bot .gs_md_li:before{opacity:0;}#gs_hdr_drw_bot .gs_hdr_pp{display:block;position:absolute;bottom:14px;left:15px;pointer-events:none;}#gs_hdr_drw_bot .gs_lbl{display:block;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;}#gs_hdr{position:relative;height:63px;background-color:#f5f5f5;border-bottom:1px solid #e5e5e5;display:flex;}.gs_el_ta #gs_hdr,.gs_el_ph #gs_hdr{height:57px;}#gs_hdr_mnu,#gs_hdr_bck,#gs_hdr_lgo,#gs_hdr_lgt,#gs_hdr_md,#gs_hdr_sre,#gs_hdr_act{display:inline-block;vertical-align:top;position:relative;height:100%;flex:0 0 auto;}#gs_hdr_md{flex:1 1 auto;}#gs_hdr .gs_hdr_mbo,#gs_hdr .gs_hdr_mbo,.gs_el_ta #gs_hdr .gs_hdr_dso,.gs_el_ph #gs_hdr .gs_hdr_dso{display:none;}.gs_el_ta #gs_hdr .gs_hdr_mbo,.gs_el_ph #gs_hdr .gs_hdr_mbo{display:inline-block;}#gs_hdr_mnu,#gs_hdr_bck,#gs_hdr_sre{width:55px;margin-right:1px;}#gs_hdr_lgo,#gs_hdr_drw_lgo{width:149px;background:no-repeat url('/intl/en/scholar/images/1x/scholar_logo_24dp.png') 0% 50%;background-size:149px;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){#gs_hdr_lgo,#gs_hdr_drw_lgo{background-image:url('/intl/en/scholar/images/2x/scholar_logo_24dp.png');}}#gs_hdr_lgo{margin-right:31px;}.gs_el_ph #gs_hdr_lgo{margin-right:0;}#gs_hdr_lgt{min-width:164px;margin-right:16px;}#gs_hdr_lgt:empty{display:none;}#gs_hdr_md{margin-right:16px;min-width:1px;}#gs_hdr_lgt,#gs_hdr_md h1{padding:19px 0 0 0;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;font-size:20px;line-height:25px;font-weight:normal;color:#666;max-width:100%;text-align:left;}.gs_el_ta #gs_hdr_md h1,.gs_el_ph #gs_hdr_md h1{padding:16px 0 0 0;}#gs_hdr_srch{padding:14px 0 0 0;max-width:600px;}.gs_el_ta #gs_hdr_srch,.gs_el_ph #gs_hdr_srch{padding:10px 0 0 0;max-width:none;}#gs_hdr_frm{position:relative;padding-right:39px;}#gs_hdr_tsi{height:38px;border-radius:2px 0 0 2px;}#gs_hdr_tsi::-ms-clear{display:none;}#gs_hdr_tsc{display:none;position:absolute;top:3px;right:41px;width:21px;height:21px;padding:6px 10px 7px 10px;}.gs_in_acw[dir="rtl"]~#gs_hdr_tsc{right:auto;left:1px;}#gs_hdr_tsb{position:absolute;top:0;right:0;width:40px;height:38px;border-radius:0 2px 2px 0;}#gs_hdr_frm_ac{top:37px;right:40px;}.gs_el_ph #gs_hdr_frm_ac{right:0;}.gs_el_ph .gs_hdr_ifc #gs_hdr_mnu,.gs_el_ph .gs_hdr_ifc #gs_hdr_bck,.gs_hdr_src #gs_hdr_srch,.gs_hdr_src #gs_hdr_lgt,.gs_hdr_srx #gs_hdr_sre,.gs_hdr_srx #gs_hdr_md h1,.gs_hdr_srx #gs_hdr_md h1.gs_hdr_mbo,.gs_hdr_srx #gs_hdr_md h1.gs_hdr_dso,.gs_el_ta .gs_hdr_srx #gs_hdr_lgo,.gs_el_ph .gs_hdr_srx #gs_hdr_lgo,.gs_el_ph .gs_hdr_srx #gs_hdr_mnu,.gs_el_ph .gs_hdr_srx #gs_hdr_bck{display:none;}.gs_el_ph .gs_hdr_ifc #gs_hdr_md,.gs_el_ph .gs_hdr_srx #gs_hdr_md{margin-left:16px;}.gs_el_tc .gs_hdr_tsc #gs_hdr_tsi[dir="ltr"]{padding-right:41px;}.gs_el_tc .gs_hdr_tsc #gs_hdr_tsi[dir="rtl"]{padding-left:41px;}.gs_el_tc .gs_hdr_tsc .gs_in_acw~#gs_hdr_tsc{display:block;}#gs_hdr_act{min-width:64px;max-width:200px;text-align:right;float:right;}.gs_el_ta #gs_hdr_act,.gs_el_ph #gs_hdr_act{display:none;}#gs_hdr_act_i,#gs_hdr_act_s{display:inline-block;padding:23px 24px 23px 16px;max-width:100%;box-sizing:border-box;font-size:13px;line-height:17px;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;color:#444;}#gs_hdr_act_s{text-transform:uppercase;}.gs_el_sm #gs_hdr_act_i,.gs_el_sm #gs_hdr_act_s{padding:23px 16px;}.gs_el_ta #gs_hdr_act_i,.gs_el_ta #gs_hdr_act_s,.gs_el_ph #gs_hdr_act_i,.gs_el_ph #gs_hdr_act_s{padding:20px 16px;}#gs_hdr_act_i:active,#gs_hdr_act_s:active{color:#d14836;}#gs_hdr_act_i,.gs_el_sm #gs_hdr_act_i{padding-top:15px;padding-bottom:16px;}.gs_el_ta #gs_hdr_act_i,.gs_el_ph #gs_hdr_act_i{padding-top:12px;padding-bottom:13px;}#gs_hdr_act_i .gs_hdr_pp{vertical-align:top;}#gs_hdr_act_d{top:63px;left:auto;right:24px;min-width:288px;max-width:400px;}.gs_el_sm #gs_hdr_act_d{right:16px;}.gs_el_ta #gs_hdr_act_d{top:57px;}.gs_el_ph #gs_hdr_act_d{top:57px;min-width:280px;max-width:280px;max-width:90vw;}/* Account dialog body. */#gs_hdr_act_aw,#gs_hdr_act_ap,.gs_hdr_act_am,#gs_hdr_act_ab{display:block;padding:10px 20px;word-wrap:break-word;white-space:normal;}#gs_hdr_act_aw{background-color:#fef9db;font-size:11px;}#gs_hdr_act_ap,.gs_hdr_act_am{border-bottom:1px solid #ccc;}#gs_hdr_act_ap{padding:20px;}.gs_el_ph #gs_hdr_act_ap{padding:10px;}#gs_hdr_act_apb{margin-top:12px;}#gs_hdr_act_aa:link,#gs_hdr_act_aa:visited{float:right;margin-left:8px;color:#1a0dab;}#gs_hdr_act_aa:active{color:#d14836}.gs_hdr_act_am:link,.gs_hdr_act_am:visited{color:#222;text-decoration:none;background:#fbfbfb;}.gs_hdr_act_am:hover,.gs_hdr_act_am:focus{background:#f1f1f1;}.gs_hdr_act_am:active{background:#eee;}#gs_hdr_act_ab{background:#fbfbfb;padding:10px 0;display:table;width:100%;white-space:nowrap;}#gs_hdr_act_aba,#gs_hdr_act_abs{display:table-cell;padding:0 20px;}#gs_hdr_act_abs{text-align:right;}.gs_el_ph #gs_hdr_act_aba,.gs_el_ph #gs_hdr_act_abs{display:block;padding:10px;text-align:center;}.gs_el_ph #gs_hdr_act_aba button,.gs_el_ph #gs_hdr_act_abs button{width:100%;}#gs_hdr_act_a1,#gs_hdr_act_a2{position:absolute;top:-9px;right:7.5px;width:0;height:0;z-index:1;border:8.5px solid transparent;border-top:none;border-bottom-color:#333;border-bottom-color:rgba(0,0,0,.2);}#gs_hdr_act_a2{top:-8px;border-bottom-color:#fff;}.gs_hdr_act_mw #gs_hdr_act_a2{border-bottom-color:#fef9db;}.gs_hdr_pp{border-radius:50%;overflow:hidden;}#gs_hdr_act_ap .gs_hdr_pp,.gs_hdr_act_am .gs_hdr_pp{float:left;}#gs_hdr_act_ap .gs_hdr_pm{margin-left:116px;}.gs_hdr_act_am .gs_hdr_pm{margin:6px 0 0 58px;}#gs_ab{position:relative;height:41px;border-bottom:1px solid #e5e5e5;display:flex;white-space:nowrap;background-color:#fff;z-index:1000;}.gs_el_ta #gs_ab.gs_nta,.gs_el_ph #gs_ab.gs_nph{display:none;}.gs_sth_vis #gs_ab{position:fixed;}#gs_ab_ico,#gs_ab_ttl,#gs_ab_md,#gs_ab_btns{display:inline-block;vertical-align:top;position:relative;height:100%;flex:0 0 auto;}.gs_el_ph #gs_ab_md{display:block;}#gs_ab_ico{width:55px;margin-right:1px;}#gs_ab_ico .gs_ico{position:absolute;top:50%;left:50%;margin:-10.5px 0 0 -10.5px;}#gs_ab_ttl{min-width:172px;padding-right:8px;}.gs_el_sm #gs_ab_ttl{min-width:68px;}.gs_el_ta #gs_ab_ttl,.gs_el_ph #gs_ab_ttl{min-width:0;}#gs_ab_ttl,#gs_ab_ttll{font-size:18px;color:#666;text-transform:none;}.gs_el_sm #gs_ab_ttl,.gs_el_sm #gs_ab_ttll{font-size:16px;}#gs_ab_ttll{overflow:hidden;text-overflow:ellipsis;max-width:200px;}#gs_ab_md{flex:1 0 auto;}.gs_ab_st #gs_ab_md{flex:1 1 auto;font-size:13px;line-height:17px;padding:0 8px;color:#999;overflow:hidden;text-overflow:ellipsis;}.gs_el_ph .gs_ab_st #gs_ab_md{visibility:hidden;padding:0;}#gs_ab_btns{margin-right:8px;}.gs_el_sm #gs_ab_btns{margin-right:0;}.gs_el_ta #gs_ab_btns,.gs_el_ph #gs_ab_btns{margin-right:4px;}#gs_ab_ttl:before,#gs_ab_md:before,#gs_ab_btns:before{content:"";display:inline-block;width:0;height:100%;vertical-align:middle;}#gs_ab_md>button,#gs_ab_btns>button,#gs_ab_md>.gs_in_ib,#gs_ab_btns>.gs_in_ib,#gs_ab_md>.gs_md_r,#gs_ab_btns>.gs_md_r,#gs_ab .gs_ab_mdw,#gs_ab .gs_ab_btw{margin:0 8px;vertical-align:middle;}#gs_ab .gs_ab_mdw,.gs_ab_btw{display:inline-block;margin:0;}#gs_ab_btns>.gs_in_ib{margin:0 16px 0 8px;}#gs_ab .gs_ab_btw{margin:0 12px 0 16px;}.gs_el_ta .gs_ab_sel #gs_ab_ico,.gs_el_ph .gs_ab_sel #gs_ab_ico,.gs_el_ta .gs_ab_sel #gs_ab_ttl,.gs_el_ph .gs_ab_sel #gs_ab_ttl,.gs_el_ta .gs_ab_sel #gs_ab_btns,.gs_el_ph .gs_ab_sel #gs_ab_btns{display:none;}#gs_bdy{display:table;table-layout:fixed;width:100%;}#gs_bdy_sb{vertical-align:top;width:228px;word-wrap:break-word;display:none;}.gs_el_sm #gs_bdy_sb{}.gs_el_ta #gs_bdy_sb,.gs_el_ph #gs_bdy_sb{}.gs_bdy_sb_sec{margin:0 40px 0 56px;}.gs_bdy_sb_sec:before{display:block;content:" ";height:0;margin:13px 0;border-top:1px solid #eee;}.gs_bdy_sb_sec:first-child:before{margin:21px 0 0 0;border:none;}#gs_bdy_sb ul{list-style-type:none;}.gs_bdy_sb_sec a:link,.gs_bdy_sb_sec a:visited{color:#222;}.gs_bdy_sb_sec a:active{color:#d14836;}.gs_bdy_sb_sel a:link,.gs_bdy_sb_sel a:visited{color:#d14836;text-decoration:none;}.gs_el_tc .gs_bdy_sb_sec li.gs_ind,.gs_el_tc .gs_bdy_sb_sec li.gs_ind a{padding-top:8px;padding-bottom:5px;}.gs_el_tc .gs_bdy_sb_sec:first-child li.gs_ind:first-child{margin-top:-8px;}#gs_bdy_sb .gs_ind,#gs_bdy_sb .gs_inw{margin-bottom:6px;}.gs_el_tc #gs_bdy_sb .gs_ind,.gs_el_tc #gs_bdy_sb .gs_inw{margin-bottom:0;}#gs_bdy_ccl{display:table-cell;vertical-align:top;padding:0 24px 0 16px;}.gs_el_sm #gs_bdy_ccl{padding:0 16px;}.gs_el_ta #gs_bdy_ccl,.gs_el_ph #gs_bdy_ccl{padding:0 16px;}.gs_el_ph #gs_bdy_ccl{padding:0;}#gs_ftr_sp{height:62px;}.gs_el_sm #gs_ftr_sp{height:57px;}#gs_ftr{position:absolute;bottom:0;left:0;width:100%;white-space:nowrap;border-top:1px solid #e4e4e4;background-color:#f2f2f2;display:flex;}#gs_ftr.gs_pfix{position:fixed;}#gs_ftr_rt{box-sizing:border-box;max-width:100%;overflow-x:auto;margin-left:auto;padding:0 12px;}.gs_el_sm #gs_ftr_rt{padding:0 8px;}.gs_el_ph #gs_ftr_rt:after{content:" ";position:absolute;top:0;right:0;width:16px;height:100%;background-image:linear-gradient(to right,rgba(242,242,242,0),rgba(242,242,242,1) 80%);}#gs_ftr_rt>a{display:inline-block;line-height:16px;padding:12px;white-space:nowrap;}.gs_el_sm #gs_ftr_rt>a{padding:12px 8px;}#gs_ftr_rt>a:link,#gs_ftr_rt>a:visited{color:#666}#gs_ftr_rt>a:active{color:#d14836}#gs_ftr_mnu{top:auto;bottom:48px;left:auto;right:24px;padding:8px 0;}.gs_el_sm #gs_ftr_mnu{right:16px;}#gsc_a_t{width:100%;table-layout:fixed;}#gsc_a_tr0,#gsc_a_trh{box-sizing:border-box;}#gsc_a_tr0 th.gsc_a_x,#gsc_a_tr0 th.gsc_a_t,#gsc_a_tr0 th.gsc_a_c,#gsc_a_tr0 th.gsc_a_y{height:0;}#gsc_a_trh{z-index:700;background-color:#f5f5f5;height:42px;}.gs_el_ta #gsc_a_trh,.gs_el_ph #gsc_a_trh,.gs_el_ta #gsc_a_t td,.gs_el_ph #gsc_a_t td{background-color:#fff;border-bottom:1px solid #e5e5e5;}#gsc_a_t th.gsc_a_x,#gsc_a_t th.gsc_a_t,#gsc_a_t th.gsc_a_c,#gsc_a_t th.gsc_a_y{box-sizing:border-box;text-transform:uppercase;vertical-align:middle;padding-top:0;padding-bottom:0;}#gsc_x_all{z-index:1;}.gsc_a_x,.gsc_a_t,.gsc_a_c,.gsc_a_y,.gsc_a_e{font-weight:normal;padding:16px 16px 0 16px;vertical-align:top;text-align:right;}.gsc_a_c{padding:16px 8px 0 8px;}.gs_el_sm .gsc_a_x,.gs_el_sm .gsc_a_t,.gs_el_sm .gsc_a_c{padding:12px 8px 0 8px;}.gs_el_ta .gsc_a_x,.gs_el_ta .gsc_a_t,.gs_el_ta .gsc_a_c,.gs_el_ph .gsc_a_x,.gs_el_ph .gsc_a_t,.gs_el_ph .gsc_a_c{padding:12px 8px;}.gs_el_sm .gsc_a_y{padding:12px 8px 0 8px;}.gs_el_ta .gsc_a_y{padding-bottom:12px;}.gsc_a_x{width:41px;padding:4px 0 0 0;}.gs_el_sm .gsc_a_x{padding:0;}.gsc_a_t{text-align:left;}.gs_el_ph .gsc_a_t{padding-left:16px;}#gsc_a_ta{display:inline-block;vertical-align:middle;margin-right:16px;}.gs_el_ph #gsc_a_ta{display:none}.gs_el_ph .gsc_a_c{padding-right:16px;}th.gsc_a_c{width:64px;white-space:nowrap;}.gsc_art_sel #gsc_a_ta,.gsc_art_sel #gsc_a_ca,.gsc_art_sel .gsc_a_h{display:none;}.gsc_a_ac,.gsc_a_hc{margin-top:3px;}th.gsc_a_y{width:88px;white-space:nowrap;}.gs_el_sm th.gsc_a_y{width:58px;}.gs_el_ph th.gsc_a_y,.gs_el_ph td.gsc_a_y{width:0;padding:0;}.gs_el_ph .gsc_a_h{display:none}@media print{#gs_top th.gsc_a_y{width:58pt;}#gs_top #gsc_a_tr0{display:none}#gs_top #gsc_a_trh{position:static}}.gsc_a_e{padding:16px;text-align:center;}.gsc_a_a{padding:8px 0}.gsc_a_at{padding:8px 0;font-size:16px}a.gsc_a_acm{text-decoration:line-through;}a.gsc_a_acm:hover,a.gs_a_acm:active{text-decoration:underline;}.gsc_a_m{position:absolute;}.gs_el_ph .gsc_a_m{display:block;position:static;}.gsc_a_am{font-size:24px;position:absolute;top:-18px;left:-2px;padding:8px 12px 4px 8px;}.gs_el_ph .gsc_a_am{display:inline-block;position:static;padding:6px 16px;margin-bottom:-6px;}#gsc_a_sp{visibility:hidden;}#gsc_a_sp.gs_vis{visibility:visible;padding:16px 0;height:25px;border-bottom:1px solid #ccc;}#gsc_a_sp:after{display:block;height:100%;content:" ";background:url('/intl/en/scholar/images/spinner.gif') no-repeat 50% 50%;opacity:0;}#gsc_a_sp.gs_vis:after{opacity:1;transition:opacity 0s .4s;}#gsc_a_err{display:none;padding:28px 0;}#gsc_a_err.gs_vis{display:block;}#gsc_md_iad{width:800px;max-width:94%;}.gs_el_ph #gsc_md_iad{width:100%;max-width:100%;}#gsc_md_iad .gs_md_prg{min-height:400px;}.gs_el_ph #gsc_iads_res .gs_md_prg{margin:0 16px;}#gsc_iad_tart,.gsc_iad_tsel.gsc_iad_tart #gsc_iad_tart,.gsc_iad_tart #gsc_iad_tgrp,.gsc_iad_tsel #gsc_iad_tgrp,#gsc_iad_tsel,#gsc_napb_hdr #gsc_iad_tart,#gsc_napb_hdr #gsc_iad_tgrp{display:none;}#gsc_iad_tgrp,.gsc_iad_tart #gsc_iad_tart,.gsc_iad_tsel #gsc_iad_tsel,#gsc_napb_hdr #gsc_iad_tsel{display:inline-block;}#gsc_iad_t:not(.gsc_iad_tsel) #gsc_iad_tsel{pointer-events:none;color:#b5b5b5;}.gs_el_ph #gsc_napb #gsc_iads_frm{margin:0 16px;}#gsc_iads_res{position:relative;margin:16px 0;min-height:80px;border-bottom:1px solid #e5e5e5;}.gs_el_ph #gsc_md_iad #gsc_iads_res{margin:8px -16px 16px -16px;}.gs_el_ph #gsc_napb #gsc_iads_pp{margin-right:16px;}#gsc_iads_btns{height:38px;border-bottom:1px solid #e5e5e5;box-sizing:border-box;margin-top:20px;}.gs_el_ph #gsc_iads_btns{margin-top:16px;}a.gsc_iads_btn{display:inline-flex;align-items:center;box-sizing:border-box;height:38px;padding:0 12px;color:#777;}.gs_el_ph .gsc_iads_btn{padding:0 16px;}a.gsc_iads_btn.gs_sel{border-bottom:2px solid #4d90fe;color:#222;}a.gsc_iads_btn.gs_dis{cursor:default;pointer-events:none;color:#b8b8b8;}.gsc_iads_btn:hover{text-decoration:none;color:#444;background-color:#f5f5f5;}.gsc_iads_btn:active{background-color:#e5e5e5;}a.gsc_iads_btn .gs_ico{opacity:.55;}a.gsc_iads_btn:hover .gs_ico{opacity:.72;}a.gsc_iads_btn.gs_sel .gs_ico,a.gsc_iads_btn:active .gs_ico{opacity:1;}a.gsc_iads_btn.gs_dis .gs_ico{opacity:.28;}.gsc_iads_btn_lbl{padding-left:10px;margin-bottom:-2px;}#gsc_iadb_hdr{display:table;table-layout:fixed;width:100%;}#gsc_iadb_hdr_cb,#gsc_iadb_hdr_instr{display:table-cell;vertical-align:middle;height:41px;}#gsc_iadb_hdr_cb{width:41px;}#gsc_iadb_hdr_cb:empty{width:0;}.gs_el_ph #gsc_iadb_hdr_cb:empty{width:16px;}#gsc_iadb_hdr_instr{font-size:16px;}.gs_el_ph #gsc_iadb_hdr_instr{padding-right:16px;}#gsc_iadb_hdr_cb:empty,.gs_el_ph #gsc_iadb_hdr_cb:empty,#gsc_iadb_hdr_instr:empty{height:0;}.gsc_oic{position:relative;}.gsc_oic_cb{font-weight:normal;border-top:1px solid #e5e5e5;border-bottom:1px solid #e5e5e5;background-color:#fcfcfc;padding-right:16px;}.gsc_oict{display:block;overflow:hidden;}.gsc_oict_name{display:block;font-size:16px;line-height:20px;word-wrap:break-word;}.gsc_oict_inf{display:block;float:right;margin-left:16px;white-space:nowrap;}.gsc_oict_all,.gsc_oict_prf{font-size:13px;text-transform:uppercase;line-height:20px;}.gsc_oict_all[data-a]{color:#1a0dab;cursor:pointer;}.gsc_oict_all[data-a]:hover{text-decoration:underline;}.gsc_oict_all[data-a]:active{color:#d14836;}.gsc_oict_prf{padding-left:8px;margin-left:8px;border-left:1px solid #e0e0e0;}.gsc_oict_prf:empty{display:none;}.gs_el_ph .gsc_oict_all,.gs_el_ph .gsc_oict_prf{float:right;clear:both;margin:0;padding:0;border:none;}.gs_el_ph .gsc_oict_prf{margin-top:2px;}.gsc_oic_res{margin:8px 0 12px 41px;}.gs_el_ph .gsc_oic_res{margin-right:16px;}.gsc_oic_res h4{font-size:13px;font-weight:normal;}.gsc_oic_dis .gsc_oic_name,.gsc_oic_dis .gsc_oic_all,.gsc_oic_dis .gsc_oic_prf{color:#777;}.gsc_oic_dis .gsc_oict_all[data-a]{color:#1a0dab;opacity:.66;}.gsc_oic_dis .gsc_oic_res{opacity:.5;}.gsc_iadb_art{border-top:1px solid #e5e5e5;overflow:hidden;}.gsc_iadb_art_cb{float:left;}.gsc_iadb_art_added{float:right;margin:12px;font-size:11px;text-transform:uppercase;color:#777;}.gs_el_ph .gsc_iadb_art_added{display:block;float:none;text-align:right;margin:8px 16px;}.gsc_iadb_art_added:empty{display:none;}.gsc_iadb_art_body{margin:12px 0 12px 41px;}.gs_el_ph .gsc_iadb_art_body{margin:12px 16px 12px 41px;}.gsc_iadb_art_body h3{font-size:13px;font-weight:normal;}.gsc_iadb_art_dis .gsc_iadb_art_body{opacity:.5;}#gsc_md_mopt,#gsc_md_cbyd,#gsc_md_cbym{width:600px;}.gs_el_ta #gsc_md_mopt,.gs_el_ta #gsc_md_cbyd,.gs_el_ta #gsc_md_cbym{width:500px;}.gs_el_ph #gsc_md_mopt,.gs_el_ph #gsc_md_cbyd,.gs_el_ph #gsc_md_cbym{width:100%;}.gsc_mob_art{vertical-align:top;padding:8px 0;}.gs_el_tc .gsc_mob_art>.gs_in_ra{margin-top:-8px;}.gsc_mob_cby{vertical-align:top;text-align:right;padding:8px 12px;position:relative;}.gsc_mob_ttl,.gsc_mob_pub{display:block;}.gsc_mob_pub{color:#666;}.gsc_mob_cbym{text-decoration:line-through}.gsc_mob_cbm{font-size:24px;position:absolute;padding:4px 0 0 4px;line-height:16px;}.gs_fsvg line{stroke:#222222}a:link .gs_fsvg{fill:#1a0dab;}a:link .gs_fsvg line{stroke:#1a0dab;}a:visited .gs_fsvg{fill:#660099;}a:visited .gs_fsvg line{stroke:#660099;}a:active .gs_fsvg{fill:#d14836;}a:active .gs_fsvg line{stroke:#d14836;}a .gs_fsvg{border-bottom:1px solid transparent;}a:hover .gs_fsvg,a:focus .gs_fsvg{border-bottom-color:inherit;}.gs_fsml{font-size:13px}.gs_fscp{font-variant:small-caps}.gsh_clim{display:table-row}.gsh_clil,.gsh_clic{display:table-cell;padding-bottom:8px}.gsh_clil{padding-right:8px;}.gsh_lla{list-style-type:lower-alpha}.gsh_lua{list-style-type:upper-alpha}.gsh_llr{list-style-type:lower-roman}.gsh_lur{list-style-type:upper-roman}.gsh_l>li{margin-left:32px;}.gs_fma .gsh_l>li{margin-left:16px;}.gsh_h3{font-size:inherit;font-weight:normal}.gsh_h3,.gsh_csp{margin:16px 0}.gsh_h3+.gsh_csp{margin-top:-8px}.gs_fma .gsh_h3{margin:12px 0 0 0;font-size:15px;font-weight:bold;}.gs_fma_abs .gsh_csp{margin:0 0 12px 0;}.gs_fma b,.gs_fma .gsh_h3{color:#444;}.gs_fma .gsh_h3+.gsh_csp{margin:4px 0 0 0;}.gs_fma .gsh_csp:last-child,.gs_fma .gsh_h3.gsh_flh{margin:0;}.gs_fma ul .gsh_clim:last-child .gsh_clic{padding-bottom:0;}.gs_fma ul,.gs_fma ol{margin:12px 0;}.gsh_ovln{text-decoration:overline}.gsh_small .gsh_l .gsh_csp{margin:8px 0}.gsh_small .gsh_csp:first-child,.gsh_small .gsh_h3.gsh_flh{margin-top:0}.gsh_small .gsh_csp:last-child{margin-bottom:0}.gsh_dspfr{text-align:center}.gsh_dspfr svg{margin:8px 0}.gs_pp_tn,.gs_el_ta .gs_pp_mo_tn,.gs_el_ph .gs_pp_mo_tn{width:32px;height:32px;}.gs_pp_sm,.gs_el_ta .gs_pp_mo_sm,.gs_el_ph .gs_pp_mo_sm{width:56px;height:56px;}.gs_pp_nm,.gs_el_ta .gs_pp_mo_nm,.gs_el_ph .gs_pp_mo_nm{width:128px;height:128px;}.gs_ai_pho{float:left;}.gs_ai_t{margin-left:72px;}.gs_ai_pho_pst+.gs_ai_t{margin-left:48px;}.gs_ai_t.gs_ai_pss{margin-left:64px;}.gs_ai_pho_pst+.gs_ai_t.gs_ai_pss{margin-left:40px;}.gs_ai_name{font-size:17px;font-weight:normal;margin-bottom:4px;}.gs_ai_name a{padding:6px 0 4px 0;}.gs_ai_name.gs_ai_name_nlsb{font-size:15px;}.gs_ai_name.gs_ai_name_nlsb a:link,.gs_ai_name.gs_ai_name_nlsb a:visited{padding:7px 0 5px 0; color:#222;}.gs_ai_name.gs_ai_name_nlsb a:active{color:#d14836;}.gs_ai_on{margin-bottom:4px;}.gs_ai_on_lbl{color:#777;}.gs_ai_int{margin-top:5px;}.gs_ai_eml:empty,.gs_ai_int:empty,.gs_ai_cby:empty{display:none;}.gs_ai_one_int{vertical-align:top;font-size:13px;margin-right:8px;white-space:nowrap;display:inline-block;max-width:200px;text-overflow:ellipsis;overflow:hidden;}.gs_el_tc a.gs_ai_one_int{padding:8px 0 5px 0;}.gs_el_ph .gs_ai_eml,.gs_el_ph .gs_ai_cby{margin-top:8px;}.gs_ai_ilnl .gs_ai_int,.gs_ai_ilnl .gs_ai_cby{margin-top:8px;color:#666;}.gs_ai.gs_ai_chpr{position:relative;}.gs_ai_chpr .gs_ai_t{margin-right:276px;}.gs_el_sm .gs_ai_chpr .gs_ai_t{margin-right:156px;}.gs_el_ph .gs_ai_chpr .gs_ai_t{margin-right:0;}.gs_ai_chpr .gs_ai_cby{position:absolute;top:4px;right:0;text-align:right;}.gs_el_sm .gs_ai_chpr .gs_ai_cby,.gs_el_ta .gs_ai_chpr .gs_ai_cby{width:132px;word-wrap:break-word;}.gs_el_ph .gs_ai_chpr .gs_ai_cby{text-align:left;position:static;width:auto;}#gsc_bdy{position:relative;max-width:1200px;margin:0 auto;}.gs_el_ph #gsc_bdy,.gs_el_ta #gsc_bdy{display:flex;flex-flow:column;}.gsc_lcl{position:relative;margin:0 350px 0 0;order:3;}.gs_el_sm .gsc_lcl{margin-right:334px;}.gs_el_ta .gsc_lcl,.gs_el_ph .gsc_lcl{margin:0;}#gsc_prf_t_wrp{position:relative;order:2;overflow:hidden;}.gs_el_tc #gsc_prf_t_wrp:after{display:block;content:"";position:absolute;z-index:100;top:0;right:0;width:12px;height:100%;background-image:linear-gradient(to right,rgba(247,247,247,0),rgba(247,247,247,1) 80%);}#gsc_prf_t{width:100%;background-color:#f5f5f5;display:none;white-space:nowrap;overflow-x:auto;padding:0 4px;}.gs_el_ta #gsc_prf_t,.gs_el_ph #gsc_prf_t{display:block;}#gsc_prf_t:after{content:"\00A0";padding:0 4px;}.gsc_prf_tab,.gsc_prf_tab:link{font-size:13px;text-transform:uppercase;padding:13px 12px;display:inline-block;color:#666;cursor:pointer;}.gsc_prf_tab:hover{color:#000;text-decoration:none}.gsc_prf_tab:active{color:#4d90fe;}.gsc_prf_tab[aria-selected="true"]{border-bottom:2px solid #4d90fe;color:#0461f9;cursor:default;}.gs_el_ta #gsc_art,.gs_el_ph #gsc_art,.gs_el_ta #gsc_rsb_cit,.gs_el_ph #gsc_rsb_cit,.gs_el_ta #gsc_rsb_mnd,.gs_el_ph #gsc_rsb_mnd,.gs_el_ta #gsc_rsb_awd,.gs_el_ph #gsc_rsb_awd,.gs_el_ta #gsc_rsb_co,.gs_el_ph #gsc_rsb_co{display:none;}#gsc_bdy[data-tab="gsc_prf_t-art"] #gsc_art,#gsc_bdy[data-tab="gsc_prf_t-cit"] #gsc_rsb_cit,#gsc_bdy[data-tab="gsc_prf_t-mnd"] #gsc_rsb_mnd,#gsc_bdy[data-tab="gsc_prf_t-awd"] #gsc_rsb_awd,#gsc_bdy[data-tab="gsc_prf_t-ath"] #gsc_rsb_co{display:block;}.gsc_rsb{float:right;width:317px;order:4;border-left:1px solid #eee;margin-top:32px;}.gs_el_sm .gsc_rsb{margin-top:16px;}.gs_el_ph .gsc_rsb,.gs_el_ta .gsc_rsb{float:none;width:auto;border:none;margin:0;}.gsc_rsb_s{margin:0 0 48px 16px;position:relative;}.gs_el_sm .gsc_rsb_s{margin:0 0 32px 16px;}.gs_el_ph .gsc_rsb_s,.gs_el_ta .gsc_rsb_s{margin:0;}.gsc_rsb_s:last-child{margin-bottom:0;}.gsc_rsb_header{padding:8px 8px 12px 8px;border-bottom:1px solid #e5e5e5;font-weight:normal;font-size:15px;}.gs_el_sm .gsc_rsb_header{padding:4px 8px 9px 8px;}.gs_el_ph .gsc_rsb_header,.gs_el_ta .gsc_rsb_header{display:none;}.gsc_rsb_action{position:absolute;top:-3px;right:-2px;}.gs_el_sm .gsc_rsb_action{top:-8px;}.gsc_rsb_tap{display:block;position:absolute;right:2px;top:12px;opacity:.5;z-index:1;}.gs_el_ta .gsc_rsb_tap,.gs_el_ph .gsc_rsb_tap{top:24px;right:10px;}.gsc_rsb_hm{border-bottom:1px solid #e5e5e5;padding:3px 6px;}#gsc_rsb_gpl{display:block;margin-top:3px;padding:6px 16px;line-height:15px;color:#0461f9;border:1px solid #4d90fe;border-radius:2px;text-align:center;text-transform:uppercase;}.gs_el_sm #gsc_rsb_gpl{margin-top:0;}.gs_el_ta #gsc_rsb_gpl,.gs_el_ph #gsc_rsb_gpl{display:none;}#gsc_rsb_st{width:100%;}.gsc_rsb_std{text-align:right;padding-right:8px;}.gs_el_ta .gsc_rsb_std,.gs_el_ph .gsc_rsb_std{padding-right:16px;}.gsc_rsb_sc1{text-align:left;padding:2px 8px;}.gs_el_sm .gsc_rsb_sc1{padding:0 8px;}.gs_el_ta .gsc_rsb_sc1,.gs_el_ph .gsc_rsb_sc1{padding:4px 16px;}.gsc_rsb_sth{font-weight:normal;padding:8px 8px 8px 0;border-bottom:1px solid #e5e5e5;text-align:right;}.gs_el_sm .gsc_rsb_sth{padding:4px 8px 4px 0;}.gs_el_ta .gsc_rsb_sth,.gs_el_ph .gsc_rsb_sth{padding:16px 16px 16px 0;}#gsc_rsb_st tbody:before,#gsc_rsb_st tbody:after{content:'';display:block;height:8px;}.gs_el_sm #gsc_rsb_st tbody:before,.gs_el_sm #gsc_rsb_st tbody:after{height:4px;}.gs_el_ph #gsc_hist_opn,.gs_el_ta #gsc_hist_opn{display:none;}.gsc_rsb_f{max-width:118px;word-wrap:break-word;white-space:normal;}.gs_el_ta .gsc_rsb_f{max-width:none;}.gsc_rsb_f:link,.gsc_rsb_f:visited{color:#222;}.gsc_rsb_m_na{color:#dd4b39;}.gsc_rsb_m_a{color:#006621;float:right;position:relative;}.gsc_rsb_m_bar{width:100%;height:4px;margin:8px 0 8px 0;background:#006621;}.gsc_rsb_m_bar_na{background:#dd4b39;width:100%;height:100%;z-index:1;}.gsc_rsb_m{padding:8px;}.gs_el_ta .gsc_rsb_m,.gs_el_ph .gsc_rsb_m{padding:8px 16px;}.gsc_rsb_m_desc{padding-top:16px;color:#777;}.gsc_rsb_m_s{font-size:24px;position:absolute;line-height:0.3;}#gsc_lwp_mndt_lnk{text-transform:uppercase;margin-left:16px;margin-right:-9px;text-align:right;font-size:13px;padding:12px 9px;border-radius:3px;}#gsc_lwp_mndt_lnk:hover,#gsc_lwp_mndt_lnk:active,#gsc_lwp_mndt_lnk:visited{text-decoration:none;color:#1a0dab;}#gsc_lwp_mndt_lnk:hover{background-color:rgba(0,0,0,.05);}#gsc_lwp_mndt_lnk:active{background-color:rgba(0,0,0,.1);}.gsc_rsb_m_title{padding-bottom:12px;}.gsc_rsb_m_header{display:flex;align-items:flex-end;justify-content:space-between;padding:0 8px;}.gs_el_sm .gsc_rsb_m_header{padding:0 8px;}.gsc_rsb_hmv{text-align:center;padding-top:16px;}.gsc_rsb_a{list-style:none;}.gsc_rsb_a>li{position:relative;}.gs_el_ta .gsc_rsb_a>li,.gs_el_ph .gsc_rsb_a>li{border-bottom:1px solid #e5e5e5;}.gsc_rsb_a>li:first-child{margin-top:8px;}.gsc_rsb_a_pht{float:left;width:32px;height:32px;}.gsc_rsb_a_desc{margin:0 33px 0 48px;min-height:32px;display:block;}.gs_el_ph .gsc_rsb_a_desc,.gs_el_ta .gsc_rsb_a_desc{margin:0 33px 0 64px;min-height:56px;}.gsc_rsb_a_desc a{color:#222;}.gsc_rsb_a_ext{display:block;color:#777;font-size:13px;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;}.gs_el_ph .gsc_rsb_a_ext,.gs_el_ta .gsc_rsb_a_ext{white-space:normal;}.gsc_rsb_a_ext2{display:none;}.gs_el_ph .gsc_rsb_a_ext2,.gs_el_ta .gsc_rsb_a_ext2{display:block;}.gsc_rsb_aa{display:block;padding:8px;line-height:normal;cursor:pointer;}.gs_el_ph .gsc_rsb_aa,.gs_el_ta .gsc_rsb_aa{font-size:17px;padding:12px 16px;}.gsc_rsb_aa:hover,.gsc_rsb_aa:active{text-decoration:none;background:#f1f1f1;}.gsc_rsb_aa a:hover{text-decoration:none;}#gsc_prf_w{order:1;padding:32px 0;overflow:hidden;}.gs_el_sm #gsc_prf_w{padding:16px 0;}#gsc_prf_pu{float:left;width:128px;height:128px;text-align:center;}.gs_el_ph #gsc_prf_pu{float:none;width:100%;margin:0 0 12px 0;}#gsc_prf_pua{line-height:0;width:128px;height:128px;}.gs_el_ph #gsc_prf_pua{margin:0 16px;}#gsc_prf_pufi{width:0;height:0;overflow:hidden;}.gsc_prf_pufo #gsc_prf_pufi{width:auto;height:auto;overflow:visible;position:relative;z-index:10;}.gsc_prf_pufo #gsc_prf_pufi2{display:inline-block;background:#fcfcfc;padding:8px 8px 8px 0;}.gsc_prf_puic{position:absolute;bottom:0;width:100%;padding:8px 0;background-color:#000;opacity:.6;}.gsc_prf_pel{cursor:pointer;}#gsc_prf_i{margin:0 16px 0 160px;}.gs_el_sm #gsc_prf_i{margin:0 16px 0 144px;}.gs_el_ph #gsc_prf_i{margin:0 16px;}a.gsc_prf_btn{position:relative;display:inline-flex;align-items:center;height:29px;line-height:normal;text-align:center;padding:0 8px;color:#444;font-weight:normal;font-size:11px;text-transform:uppercase;}a.gsc_prf_btn:before{position:absolute;top:0;bottom:0;left:0;right:0;z-index:-1;content:"";border-radius:3px;}.gsc_prf_btn .gs_ico{opacity:.55;}.gsc_prf_btn:hover .gs_ico{opacity:.72;}.gsc_prf_btn_act .gs_ico,.gsc_prf_btn_act:hover .gs_ico,.gsc_prf_btn:active .gs_ico{opacity:1;}.gsc_prf_btn_lbl{padding:0 4px;}a.gsc_prf_btn:hover{text-decoration:none;cursor:pointer;color:#222;}a.gsc_prf_btn:hover:before,.gs_el_ph #gsc_prf_btne:hover:before{border-color:rgba(0,0,0,.2);background-color:#f8f8f8;}a.gsc_prf_btn:active:before,.gs_el_ph #gsc_prf_btne:active:before{background-color:#f1f1f1;color:#222;}.gs_el_ph .gsc_prf_btn_lbl{display:none;}.gs_el_ph .gsc_prf_btn,#gsc_prf_btne{justify-content:center;height:41px;width:41px;padding:0;}.gs_el_ph .gsc_prf_btn,.gs_el_ph #gsc_prf_btne{position:absolute;right:8px;margin:0;}.gs_el_ph .gsc_prf_btn:before{border-radius:50%;top:2px;bottom:2px;left:2px;right:2px;}#gsc_prf_btne{vertical-align:top;margin:-9px 4px;}.gs_el_ph #gsc_prf_btne{top:14px;}#gsc_prf_btne.gsc_prf_btn:before{background:transparent;border:transparent;}#gsc_prf_btne.gsc_prf_btn:hover:before{background-color:rgba(0,0,0,.05);}#gsc_prf_btne.gsc_prf_btn:active:before{background-color:rgba(0,0,0,.1);}#gsc_prf_btnf{float:right;margin:3px 0 16px 16px;}.gs_el_sm #gsc_prf_btnf{margin-top:0;}.gs_el_ph #gsc_prf_btnf{float:none;top:62px;}.gs_el_ph #gsc_prf_btnf.gsc_prf_btn_top{top:14px;}.gsc_prf_btn:before,.gs_el_ph #gsc_prf_btne:before{background-color:#f5f5f5;border:1px solid rgba(0,0,0,.1);}.gsc_prf_btn.gsc_prf_btn_act:before{background-color:#4d90fe;}.gsc_prf_btn_act .gsc_prf_btn_lbl{color:#fff;}.gsc_prf_btn.gsc_prf_btn_act:hover:before{background-color:#3983fe;}.gsc_prf_btn.gsc_prf_btn_act:active:before{background-color:#357ae8;}#gsc_prf_inw{margin-bottom:8px;}.gs_el_sm #gsc_prf_inw{margin-bottom:4px;}.gs_el_ph #gsc_prf_inw{margin-bottom:2px;}#gsc_prf_in{font-size:24px;line-height:24px;padding:3px 0 4px 0;word-wrap:break-word;}.gs_el_sm #gsc_prf_in{font-size:22px;}.gs_el_ph #gsc_prf_in{font-size:20px;padding:0;}#gsc_prf_ion{line-height:19px;padding:1px 0;}#gsc_prf_ion{padding-bottom:4px;}.gs_el_sm #gsc_prf_ion{padding-bottom:8px;}.gs_el_ph #gsc_prf_ion{padding:0;padding-bottom:10px;}#gsc_prf_ion_btn,#gs_prf_ion_txt{vertical-align:top;}#gsc_prf_ion_btn{padding:12px 0;}#gsc_prf_ion_lbl{color:#777;}.gs_prf_ion_svg{height:8px;width:4px;padding:0 4px;fill:#777;}#gsc_prf_ion_btn:hover #gsc_prf_ion_lbl{cursor:pointer;text-decoration:underline;}#gsc_prf_ion_btn:active #gsc_prf_ion_lbl{color:#222;}#gsc_prf_ion_btn:active .gs_prf_ion_svg{fill:#222;}#gs_prf_ion_txt{padding-left:4px;visibility:hidden;font-size:0;opacity:0;transition:visibility 0s .13s,font-size 0s .13s,opacity .13s}.gs_el_tc #gs_prf_ion_txt{transition:visibility 0s .218s,font-size 0s .218s,opacity .218s}.gs_prf_ion_show #gs_prf_ion_txt{visibility:visible;font-size:15px;opacity:1;transition:visibility 0s,font-size 0s,opacity .13s;}.gs_el_tc .gs_prf_ion_show #gs_prf_ion_txt{transition:visibility 0s,font-size 0s,opacity .218s;}.gs_prf_ion_svg{transition:transform .13s;transform:rotate(0);}.gs_el_tc .gs_prf_ion_svg{transition:transform .218s;}.gs_prf_ion_show .gs_prf_ion_svg{transform:rotate(180deg);}.gsc_prf_il{font-size:15px;line-height:18px;padding:1px 0;}.gs_el_ph .gsc_prf_il{font-size:13px;line-height:16px;}.gsc_prf_ila:link,.gsc_prf_ila:visited{text-decoration:underline;color:#222;}#gsc_prf_int{margin-top:5px;}#gsc_prf_int:empty{display:none;}.gsc_prf_inta{margin-right:16px;white-space:nowrap;max-width:200px;text-overflow:ellipsis;overflow:hidden;vertical-align:top;}.gsc_prf_inta:last-child{margin:0}.gs_el_tc .gsc_prf_ila,.gs_el_tc .gsc_prf_inta{padding:8px 0 5px 0;}.gsc_md_pro_tt,#gsc_md_pro_lgtm,#gsc_md_pro_rev_n,#gsc_md_pro_save,#gsc_md_pro_ep,.gsc_md_pro_el,.gsc_md_pro_ev{display:none;}#gsc_md_pro_ep{margin-top:4px;padding-top:16px;border-top:1px solid #e5e5e5;}#gsc_md_pro_ep .gsc_md_pro_el{margin-bottom:8px;}.gs_el_tc #gsc_md_pro_ep .gsc_md_pro_el{margin-bottom:2px;}.gsc_md_pro_ra .gs_md_btns{margin-top:8px;}.gsc_md_pro_rn #gs_aani_wrap{padding:0;border:none;}.gsc_md_pro_rn .gs_md_btns{margin:0;}.gsc_md_pro_ch .gsc_md_pro_el,.gsc_md_pro_ch .gsc_md_pro_ev,.gsc_md_pro_ch #gsc_md_pro_ep,.gsc_md_pro_ra .gsc_md_pro_ra_vis,.gsc_md_pro_rn .gsc_md_pro_rn_vis{display:block;}.gsc_md_pro_ed #gsc_md_pro_ted,.gsc_md_pro_aa #gsc_md_pro_taa,.gsc_md_pro_ra #gsc_md_pro_tra,.gsc_md_pro_an #gsc_md_pro_tan,.gsc_md_pro_ai #gsc_md_pro_tai,.gsc_md_pro_rn #gsc_md_pro_trn,.gsc_md_pro_ch #gsc_md_pro_save,.gsc_md_pro_ra #gsc_md_pro_lgtm,.gsc_md_pro_rn #gsc_md_pro_rev_n{display:inline-block;}.gsc_md_pro_el{font-size:15px;}.gsc_md_pro_ev{padding:4px 0 16px 0;}#gsc_dd_add-d,#gsc_dd_exp-d,#gsc_dd_sort-d,#gsc_dd_mor-d{top:42px;}#gsc_dd_add-d,#gsc_dd_mor-d,#gsc_dd_sort-d{white-space:normal;word-wrap:break-word;width:208px;width:max-content;min-width:100px;max-width:208px;}.gs_el_ph #gsc_dd_add-d{left:-9px;}.gs_el_ph #gsc_dd_exp-d{left:auto;right:12px;}.gs_el_ph #gsc_dd_mor-d{left:-58px;}.gs_el_ph #gsc_dd_sort-d{left:10px;}.gs_el_ph #gsc_dd_sort-r{margin-left:-10px;}.gsc_dd_sec,#gsc_dd_exp-d{padding:8px 0;}.gs_el_tc .gsc_dd_sec,.gs_el_tc #gsc_dd_exp-d{padding:4px 0 8px 0;}.gsc_dd_sep{border-top:1px solid #ebebeb;}#gsc_dd_mor-s .gsc_dd_mor-sel,#gsc_dd_sort-s .gsc_dd_sort-sel{color:#dd4b39;}#gsc_dd_mor-p{padding:14px 44px 14px 16px;color:#777;}.gs_el_tc #gsc_dd_mor-p{padding:18px 44px 18px 16px;}.gsc_art_sel #gsc_dd_add-r,.gsc_art_sel #gsc_dd_mor-r,#gsc_btn_mer,#gsc_btn_del,#gsc_dd_exp-r{display:none;}#gsc_dd_mor-r,.gsc_art_sel #gsc_btn_mer,.gsc_art_sel #gsc_btn_del,.gsc_art_sel #gsc_dd_exp-r{display:inline-block;}html:not(.gs_el_ph) #gsc_dd_sort-r{display:none;}#gsc_lwp{margin:24px 0;text-align:center;}.gs_el_sm #gsc_lwp{margin:16px 0;}#gsc_bpf{display:inline-block;verticle-align:middle;}#gsc_a_nn{display:inline-block;vertical-align:middle;padding-right:16px;font-size:13px;}.gs_el_ph #gsc_a_nn{display:none;}@media print{#gs_top #gs_md_s,#gs_top #gs_md_w,#gs_top #gs_hdr,#gs_top #gs_hdr_drs,#gs_top #gs_hdr_drw,#gs_top #gs_ftr,#gs_top #gsc_nag,#gs_top #gsc_prf_nbar_btns,#gs_top #gsc_prf_btne,#gs_top #gsc_prf_btnf,#gs_top #gsc_prf_ivh,#gs_top #gsc_prf_puf,#gs_top #gsc_rsb_co,#gs_top #gsc_bdy #gsc_rsb_co,#gs_top .gsc_g_hist_wrp,#gs_top #gsc_prf_t_wrp,#gs_top .gsc_rsb_header,#gs_top .gsc_a_tb,#gs_top .gsc_a_x,#gs_top #gsc_lwp,#gs_top .gsc_prf_puic,#gs_top #gsc_dd_add-r,#gs_top #gsc_dd_mor-r,#gs_top #gsc_dd_sort-r{display:none;}#gs_top,#gs_top #gsc_bdy,#gs_top #gsc_prf_w,#gs_top #gsc_prf,#gs_top #gsc_prf_pu,#gs_top #gsc_prf_pua,#gs_top #gsc_prf_i,#gs_top .gsc_rsb_s,#gs_top .gsc_lcl,#gs_top .gsc_rsb,#gs_top #gsc_a_tw,#gs_top #gsc_a_t,#gs_top .gsc_prf_il,#gs_top .gsc_prf_ila,#gs_top .gsc_prf_inta,#gs_top #gsc_rsb_st{background:none;border:none;padding:0;margin:0;height:auto;width:auto;min-width:0;max-width:none;float:none;display:block;position:static;color:black;font-weight:normal;font-size:12pt;text-decoration:none;}#gs_top .gsc_a_ac,#gs_top .gsc_a_a,#gs_top #gsc_a_ca,#gs_top .gsc_a_at,#gs_top .gsc_rsb_sc1,#gs_top .gsc_rsb_sth,#gs_top .gsc_rsb_std,#gs_top #gsc_bdy .gsc_a_x,#gs_top #gsc_bdy .gsc_a_t,#gs_top #gsc_bdy .gsc_a_c,#gs_top #gsc_bdy .gsc_a_y,#gs_top #gsc_a_trh,#gs_top .gsc_a_m,#gs_top .gsc_a_am{color:black;font-weight:normal;font-size:12pt;padding:0;margin:0;background:none;border:none;}#gs_top #gsc_a_trh,#gs_top #gsc_a_trh th{height:0;}#gs_top #gsc_a_ta,#gs_top #gsc_a_ca,#gs_top #gsc_a_ha,#gs_top .gsc_a_a{font-size:11pt;}#gs_top .gsc_a_ac{font-size:10pt}#gs_top #gsc_prf_pu{width:80pt;height:auto;float:left;margin:0 7pt 7pt 0;}#gs_top #gsc_prf_pua{left:auto;transform:none;border-radius:0;}#gs_top #gsc_prf_pua>img{position:static;}#gs_top #gsc_prf_i{margin:0 7pt 7pt 87pt;text-align:left;}#gs_top #gsc_prf_in{font-size:18pt;line-height:18pt;padding:0 0 4pt 0;}#gs_top .gsc_prf_il{padding:2pt 0;}#gs_top #gsc_prf_w{float:left;width:64%;}#gs_top .gsc_rsb{float:right;width:35%;}#gs_top #gsc_art{clear:both;}#gs_top #gsc_rsb_st{display:table;width:100%;max-width:none;margin-top:3pt;}#gs_top .gsc_rsb_sc1,#gs_top .gsc_rsb_sth,#gs_top .gsc_rsb_std{font-size:10pt;}#gs_top th.gsc_rsb_sc1,#gs_top .gsc_rsb_sth{border-bottom:1pt solid #ccc;}#gs_top .gsc_rsb_f{max-width:60pt;}#gs_top .gsc_rsb_sth{padding-left:14pt;}#gs_top #gsc_bdy .gsc_a_x,#gs_top #gsc_bdy .gsc_a_t,#gs_top #gsc_bdy .gsc_a_c,#gs_top #gsc_bdy .gsc_a_y,#gs_top #gsc_a_trh{padding:6pt 0;}#gs_top #gsc_a_trh{border-bottom:1pt solid #ccc;}#gs_top #gsc_a_ca{display:block;width:auto;}#gs_top #gsc_a_ta{display:inline-block;vertical-align:middle;margin-right:12pt;}#gs_top .gsc_a_h{display:inline;font-size:10pt;}#gs_top .gsc_a_at{color:#008;}#gs_top .gsc_a_m,#gs_top .gsc_a_am{display:inline;position:absolute;}#gs_top .gsc_a_am{padding:11pt 0 0 8pt;}#gs_top .gsc_a_t .gs_gray{color:black;font-size:10pt;}}.gsc_lwpds_frm{position:relative;height:29px;}.gsc_lwpds_tsiw{position:absolute;top:0;left:0;right:38px;}.gsc_lwpds_tsiw input{border-radius:3px 0 0 3px;}.gsc_lwpds_tsbw{position:absolute;top:0;right:0;}.gsc_lwpds_tsbw button{border-radius:0 3px 3px 0;}.gsc_pgn{text-align:right;font-weight:bold;line-height:29px;}.gsc_pgn_ppn{margin:0 8px;}.gsc_ccb_ck{padding:11px 10px 9px 10px;}.gsc_ccb_svg{stroke:#666;stroke-width:2px;fill:#fff;width:21px;height:21px;vertical-align:top;}.gsc_ccb_lim,.gsc_ccb_dis{cursor:default;pointer-events:none;}.gsc_ccb_lim .gsc_ccb_svg,.gsc_ccb_dis .gsc_ccb_svg{fill:#e2e2e2;stroke:#fff;}.gsc_ccb_lim .gsc_ccb_svg>circle,.gsc_ccb_dis .gsc_ccb_svg>circle{stroke:#e2e2e2;}.gsc_ccb_on .gsc_ccb_svg{fill:#4d90fe;stroke:#fff;}.gsc_ccb_on .gsc_ccb_svg>circle{stroke:#4d90fe;}.gsc_ccb_del:active .gsc_ccb_svg>circle,.gsc_ccb_add:active .gsc_ccb_svg>circle{fill:#2f6de1;}#gsc_md_cod{width:800px;max-width:94%;}.gs_el_ph #gsc_md_cod{width:100%;max-width:100%;}#gsc_md_cod .gs_md_prg{min-height:400px;}.gsc_codb_instr{font-size:16px;margin:1em 0;}#gsc_cods_res{position:relative;margin-bottom:24px;min-height:80px;border-bottom:1px solid #e5e5e5;}.gs_el_ph #gsc_cods_res{margin-bottom:16px;}.gsc_cods_hide,.gsc_cod_sugg #gsc_cod_tedit,.gsc_cod_sugg #gsc_cods_frm,.gsc_cod_sugg #gsc_cods_pp,.gsc_cod_lc #gsc_cod_tadd,.gsc_cod_changed #gsc_cod_tedit,.gsc_cod_changed #gsc_cod_tadd,.gsc_cod_lim #gsc_cod_tedit,.gsc_cod_lim #gsc_cod_tadd{display:none;}#gsc_cods_frm{margin:0 0 24px 0;}.gs_el_ph #gsc_cods_frm{margin:0 0 16px 0;}.gsc_ucoar{padding:24px 0;border-bottom:1px solid #eee;}.gs_el_ph .gsc_ucoar{padding:16px 0px;}.gsc_ucoar:first-child{padding-top:0;}.gsc_ucoar:last-child{border-bottom:none;}.gsc_ucoar_cb{float:right;margin-top:-8px;}#gsc_cod_trev{display:none;color:#666;pointer-events:none;}.gsc_cod_changed #gsc_cod_trev,.gsc_cod_lim #gsc_cod_trev{display:inline-block;}.gsc_cod_changed #gsc_cod_trev{color:#1a0dab;pointer-events:auto;}.gsc_fol_cr{margin:0 0 8px 0;}.gs_el_tc .gsc_fol_cr{margin:0;}.gs_el_tc .gsc_fol_cr:first-child{margin-top:-8px;}#gsc_fol_ml{display:block;color:#777;padding:12px 0 4px 0;}#gs_aani_wrap{padding-bottom:8px;border-bottom:1px solid #e5e5e5;}#gs_aani{display:none;}#gs_aani.gs_vis{display:block;padding-bottom:12px;}#gs_aani_lbl{display:none;}#gs_aani_lbl.gs_vis{display:block;padding-bottom:8px;}#gs_anni_add_ico{display:inline-block;text-decoration:none;}.gs_aani_in{position:relative;margin-top:12px;margin-bottom:4px;display:none;}.gs_aani_in.gs_vis{display:block;}.gs_aani_txt{margin-right:34px;}.gs_aani_del{position:absolute;padding:12px;top:-6px;right:-12px;}.gs_aani_del:active .gs_aani_svg{stroke:#d14836;}.gs_aani_svg{vertical-align:top;width:17px;height:17px;fill:none;stroke:#1155cc;}</style><script>!function(GSP){var ba=function(a){var b=0;return function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}}},ca=typeof Object.defineProperties=="function"?Object.defineProperty:function(a,b,c){if(a==Array.prototype||a==Object.prototype)return a;a[b]=c.value;return a},da=function(a){a=["object"==typeof globalThis&&globalThis,a,"object"==typeof window&&window,"object"==typeof self&&self,"object"==typeof global&&global];for(var b=0;b<a.length;++b){var c=a[b];if(c&&c.Math==Math)return c}throw Error("Cannot find global object"); },ea=da(this),g=function(a,b){if(b)a:{var c=ea;a=a.split(".");for(var d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))break a;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&b!=null&&ca(c,a,{configurable:!0,writable:!0,value:b})}}; g("Symbol",function(a){if(a)return a;var b=function(f,h){this.ga=f;ca(this,"description",{configurable:!0,writable:!0,value:h})};b.prototype.toString=function(){return this.ga};var c="jscomp_symbol_"+(Math.random()*1E9>>>0)+"_",d=0,e=function(f){if(this instanceof e)throw new TypeError("Symbol is not a constructor");return new b(c+(f||"")+"_"+d++,f)};return e});var fa=typeof Object.create=="function"?Object.create:function(a){var b=function(){};b.prototype=a;return new b},ha; if(typeof Object.setPrototypeOf=="function")ha=Object.setPrototypeOf;else{var ia;a:{var ja={a:!0},ka={};try{ka.__proto__=ja;ia=ka.a;break a}catch(a){}ia=!1}ha=ia?function(a,b){a.__proto__=b;if(a.__proto__!==b)throw new TypeError(a+" is not extensible");return a}:null} var la=ha,ma=function(a,b){a.prototype=fa(b.prototype);a.prototype.constructor=a;if(la)la(a,b);else for(var c in b)if(c!="prototype")if(Object.defineProperties){var d=Object.getOwnPropertyDescriptor(b,c);d&&Object.defineProperty(a,c,d)}else a[c]=b[c];a.xa=b.prototype};g("Symbol.dispose",function(a){return a?a:Symbol("Symbol.dispose")}); g("Math.trunc",function(a){return a?a:function(b){b=Number(b);if(isNaN(b)||b===Infinity||b===-Infinity||b===0)return b;var c=Math.floor(Math.abs(b));return b<0?-c:c}});var na=function(a){a=Math.trunc(a)||0;a<0&&(a+=this.length);if(!(a<0||a>=this.length))return this[a]};g("Array.prototype.at",function(a){return a?a:na});var n=function(a){return a?a:na};g("Int8Array.prototype.at",n);g("Uint8Array.prototype.at",n);g("Uint8ClampedArray.prototype.at",n);g("Int16Array.prototype.at",n); g("Uint16Array.prototype.at",n);g("Int32Array.prototype.at",n);g("Uint32Array.prototype.at",n);g("Float32Array.prototype.at",n);g("Float64Array.prototype.at",n);g("String.prototype.at",function(a){return a?a:na});/* Copyright The Closure Library Authors. SPDX-License-Identifier: Apache-2.0 */ var oa=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var d=c.slice();d.push.apply(d,arguments);return a.apply(this,d)}};var p=function(){this.I=this.I;this.O=this.O};p.prototype.I=!1;p.prototype.isDisposed=function(){return this.I};p.prototype.dispose=function(){this.I||(this.I=!0,this.T())};p.prototype[Symbol.dispose]=function(){this.dispose()};p.prototype.T=function(){if(this.O)for(;this.O.length;)this.O.shift()()};var pa=function(){};function qa(a){var b=[],c=0,d;for(d in a)b[c++]=d;return b};function q(a,b){a.classList.add(b)}function r(a,b){a.classList.remove(b)}function u(a,b){return a.classList?a.classList.contains(b):!1}function v(a,b,c){c=c!==void 0?c:!u(a,b);(c?q:r)(a,b)};function w(a){return(navigator.userAgent||"").indexOf(a)>=0}var ra=w("iPhone")||w("iPad")||w("iPod"),sa=w("iPhone")||w("Android")&&w("Mobile");function ua(){if(b===void 0){var a=window.screen;a={width:window.innerWidth,height:window.innerHeight,wa:a.width,va:a.height}}else a=b;var b=a;a=b.width;var c=b.height,d=b.wa;b=b.va;var e=4;if(a<600||d*b<48E4||sa)e=1;else if(a<982)e=2;else if(a<1136||c<590)e=3;return e}var va,wa=/[?&]tc=([01])/.exec(location.search||""); va=wa?+wa[1]>0:w("Android")?!0:window.matchMedia&&window.matchMedia("(pointer)").matches?window.matchMedia("(pointer:coarse)").matches:!w("Firefox")||w("Mobile")||w("Tablet")?ra||"ontouchstart"in window||(navigator.msMaxTouchPoints||0)>0:!1;function xa(){if(ya==void 0){ya=!1;try{var a=Object.defineProperty({},"passive",{get:function(){ya=!0}});window.addEventListener("testPassive",pa,a);window.removeEventListener("testPassive",pa,a)}catch(b){}}return ya}var ya;var za=function(a){this.G=a},Aa=new za("DIV"),Ba=new za("INPUT"),Ca=new za("SCRIPT"),Da=new za("TABLE");function A(a){return document.getElementById(a)}function Ea(a){return a.id||(a.id="gs_id"+Fa++)}function Ga(a){a=(a===void 0?null:a)||document.body;return(a?window.getComputedStyle(a,null):null).direction=="rtl"} function Ha(a){var b=[];a=a.elements;for(var c=a.length,d=0;d<c;d++){var e=a[d],f=encodeURIComponent(e.name||""),h=e.type;!f||e.disabled||!(h!="checkbox"&&h!="radio"||e.checked)||b.push(f+"="+encodeURIComponent(e.value||""))}return b.join("&")}function Ia(a,b){var c=a.elements[b];c||(c=document.createElement(Ba.G),c.type="hidden",c.name=b,a.appendChild(c));return c}function Ja(a){A("gsc_md_cbyd_c").href=a&&a.match(Ka)?a:"javascript:void(0)"}function La(a){a.match(Ka)&&(window.location.href=a)} function Ma(a){if(!A("gs_hats")){var b=document.createElement(Ca.G);b.id="gs_hats";b.src="https://www.gstatic.com/feedback/js/help/prod/service/lazy.min.js";b.onload=a;document.body.appendChild(b)}}var Fa=100,Na=/\S+/g,Ka=/^(?:https?:|[^:/?#]*(?:[/?#]|$))/i,Oa=/^(?:#|\/[a-z0-9_-]*(?:[?].*)?$)/i;function Pa(a){return a.hasOwnProperty("gs_uid")?a.gs_uid:a.gs_uid=++Qa}var Qa=0;var B=function(){this.o=[];this.J={};this.X=this.R=0};B.prototype.add=function(a){var b=Pa(a);this.J[b]||(this.o.push(a),this.J[b]=this.o.length,++this.R)};B.prototype.remove=function(a){a=Pa(a);var b=this.J[a];b&&(this.o[b-1]=null,delete this.J[a],--this.R*2<this.o.length&&!this.X&&Ra(this))};B.prototype.notify=function(a){var b=this.o;try{++this.X;for(var c=0;c<b.length;c++){var d=b[c];d&&d.apply(null,arguments)}}finally{!--this.X&&this.R*2<b.length&&Ra(this)}};B.prototype.getSize=function(){return this.R}; var Ra=function(a){var b=a.o,c=b.length;a=a.J;for(var d=0,e=0;e<c;e++){var f=b[e];f&&(b[d]=f,a[Pa(f)]=++d)}b.length=d};function C(a,b,c,d,e){Sa(a,b,c,d===void 0?!1:d,e===void 0?!1:e,Ta)}function D(a,b,c,d){Sa(a,b,c,d===void 0?!1:d,!1,Ua)}function Va(a,b,c,d){function e(h){D(f,a,e,c);b(h)}var f=document;c=c===void 0?!1:c;C(f,a,e,c,d===void 0?!1:d)}function H(a){Xa?Xa.add(a):a()}function Ya(a){H(function(){return setTimeout(a,0)})} var Za=window.requestAnimationFrame?function(a){window.requestAnimationFrame(a)}:function(a){setTimeout(function(){return a(window.performance&&performance.now?performance.now():Date.now())},33)};function $a(a){a.stopPropagation();a.preventDefault()}function ab(a){return(a.ctrlKey?1:0)|(a.altKey?2:0)|(a.metaKey?4:0)|(a.shiftKey?8:0)}function Ta(a,b,c,d,e){var f=a.addEventListener;e=e&&xa();f.call(a,b,c,e?{passive:e,capture:d}:d)}function Ua(a,b,c,d){a.removeEventListener(b,c,d)} function Sa(a,b,c,d,e,f){if(typeof b==="string")f(a,b,c,d,e);else for(var h=b.length,k=0;k<h;k++)f(a,b[k],c,d,e)}function bb(){Xa.notify();Xa=null}function cb(){document.readyState=="complete"&&(D(document,"readystatechange",cb),bb())}var Xa,db=!!document.attachEvent,eb=document.readyState;if(db?eb!="complete":eb=="loading")Xa=new B,db?C(document,"readystatechange",cb):Va("DOMContentLoaded",bb); function fb(){Va(["mousedown","touchstart"],function(){v(document.documentElement,"gs_pfcs",!0);C(document,"keydown",gb,!0)},!0,!0)}function gb(a){a.keyCode==9&&(v(document.documentElement,"gs_pfcs",!1),D(document,"keydown",gb,!0),fb())}fb();function hb(a,b,c,d,e){var f=A(a);ib(f,function(){q(f,"gs_vis");b&&b()},function(){r(f,"gs_vis");c&&c()},d,e)}function jb(a){a=I[a]||[0];return a[a.length-1]} function ib(a,b,c,d,e,f){f=f===void 0?"":f;var h=Ea(a),k=jb(h);if(!k||k<jb(f)){var m=document.activeElement;f=A(f);kb(lb(f||a),!0);b&&b();J.push(function(l){I[h].pop();I[h].length||delete I[h];if(!l){(l=e)||m==document.body||(l=m);var t=document.activeElement;if(l)try{l.focus()}catch(E){}else t&&a.contains(t)&&t.blur()}c&&c()});I[h]||(I[h]=[]);I[h].push(J.length);m&&a.contains(m)||setTimeout(function(){var l=d,t=l&&l.type=="text";if(!l||t&&va)l=a;try{l.focus(),t&&(l.value=l.value)}catch(E){}},0)}} function mb(a){kb((jb(a)||1E6)-1,!1)}function nb(a){a=a===void 0?!1:a;J.pop()(a)}function kb(a,b){for(b=b===void 0?!1:b;J.length>a;)nb(b||J.length>a+1)}function lb(a){for(var b=0;a&&!(b=jb(a.id));)a=a.parentNode;return b}var J=[],I={};C(document,"click",function(a){var b=J.length;b&&!ab(a)&&b>lb(a.target)&&nb(!0)});C(document,"keydown",function(a){a.keyCode==27&&!ab(a)&&J.length&&nb()}); C(document,"focus",function(a){var b=J.length;if(b)for(var c=lb(a.target);c<b;){var d="",e;for(e in I)if(jb(e)==b){d=e;break}a:{d=(A(d).getAttribute("data-wfc")||"").match(Na)||[];for(var f=0;f<d.length;f++){var h=A(d[f]);if(h&&h.offsetWidth){d=h;break a}}d=void 0}if(d){$a(a);d.focus();break}else nb(!0),--b}},!0);var ob={},pb={},qb;try{qb=window.sessionStorage}catch(a){};function K(a){return typeof a=="object"?a:null}function rb(){var a=sb(),b=tb();b=ub(b);a=vb(a);a=wb(a)||"#";L=K(b);xb?window.history.replaceState(b,"",a):window.location.replace(a)}function wb(a){var b=[],c;for(c in a)b.push(encodeURIComponent(c)+"="+encodeURIComponent(a[c]));return(a=b.sort().join("&"))?"#"+a:""} function yb(a){var b={};a=a.split("&");for(var c=0;c<a.length;c++){var d=a[c],e=d.indexOf("=");if(e+1){var f=d.substr(0,e);d=d.substr(e+1)}else f=d,d="";f&&(b[decodeURIComponent(f)]=decodeURIComponent(d))}return b}function zb(a){var b=a.indexOf("#")+1;return yb(b?a.substr(b):"")}function Ab(a){var b=a.indexOf("?")+1;a=b?a.substr(b):"";b=a.indexOf("#");return yb(b+1?a.substr(0,b):a)}function Bb(a,b){for(var c in b){var d=b[c];d!==void 0?a[c]=d:delete a[c]}} function vb(a){var b=zb(window.location.hash);Bb(b,a);return b}function ub(a){var b=L||K(window.history.state),c={},d;for(d in b)c[d]=b[d];Bb(c,a);return c}function Cb(){setTimeout(function(){if(!Db){var a=window.history.state;Db=!0;L=K(a);Eb.notify()}Fb=!1},0)}var Eb=new B,L,Db=!1,Fb=!0,xb="pushState"in window.history,Gb; if(typeof GSP=="undefined")Gb=!1;else{var Hb=.001*Date.now(),Ib=GSP.eventId,Jb=!1,M,Kb=qb;if(!("nh"in ob)){var Lb=Kb&&Kb.getItem("nh"),Mb;if(Lb)try{Mb=JSON.parse(Lb)}catch(a){}pb.nh=Mb}M=pb.nh;M instanceof Array||(M=[]);for(var Nb=M.length,Ob=0,Pb=0;Pb<Nb;Pb++){var Qb=M[Pb];if(Qb instanceof Array&&Qb.length==2){var Rb=Qb[1]==Ib;Jb=Jb||Rb;Nb-Pb<=10&&+Qb[0]>Hb-86400&&!Rb&&(M[Ob++]=Qb)}}M.length=Ob;M.push([Hb,Ib]);var Sb=M,Tb=qb;pb.nh=Sb;try{Tb&&Tb.setItem("nh",JSON.stringify(Sb))}catch(a){}Gb=Jb} var Ub=Gb;"onpageshow"in window?C(window,"pageshow",Cb):H(Cb);C(window,xb?"popstate":"hashchange",function(a){document.readyState!="loading"&&(a=a.state,Db=!0,L=K(a),Eb.notify())});function Vb(){Wb&&(D(A("gs_alrt_l"),"click",Wb),Wb=void 0)}function Xb(){var a=Yb();q(a,"gs_anm");q(a,"gs_vis");C(document,"click",Zb);clearTimeout($b);$b=setTimeout(Zb,4E3);++ac;setTimeout(bc,0)}function Zb(){ac||(D(document,"click",Zb),clearTimeout($b),$b=void 0,Vb(),r(Yb(),"gs_vis"))}function Yb(){return A("gs_alrt")}function bc(){ac=0}var $b,ac=0,Wb;H(function(){var a=A("gs_alrt_m");a&&(a.innerHTML&&!Ub&&Xb(),C(window,"pagehide",function(){ac=0;Zb();r(Yb(),"gs_anm")}))});function cc(a,b,c){var d=new XMLHttpRequest;d.onreadystatechange=function(){if(d.readyState==4){var e=d.status,f=d.responseText,h=d.getResponseHeader("Content-Type"),k=d.responseURL,m=window.location,l=m.protocol;m="//"+m.host+"/";k&&k.indexOf(l+m)&&k.indexOf("https:"+m)&&(e=0,h=f="");c(e,f,h||"")}};d.open(b?"POST":"GET",a,!0);d.setRequestHeader("X-Requested-With","XHR");b&&d.setRequestHeader("Content-Type","application/x-www-form-urlencoded");b?d.send(b):d.send();return d} function dc(a){a&&(a.onreadystatechange=function(){},a.abort())};var ec=function(a,b,c){this.type=a;this.currentTarget=this.target=b;this.g=c===void 0?null:c;this.Z=!1};ec.prototype.stopPropagation=function(){this.g&&this.g.stopPropagation();this.Z=!0};var N=function(a){a.g&&$a(a.g);a.Z=!0};var O=function(a,b){this.aa=a;this.ua=b},fc=function(a,b,c){this.aa=a;this.types=b;this.listener=c};function P(a,b,c){Q(a,b,c)}function gc(a,b){var c=b.length;if(c){var d=Pa(a),e=hc[d];if(!e){e=hc[d]=[];d=ic(b[0].aa);for(var f in d){var h=jc[f];h||(h=jc[f]=Object.create(null));for(var k in d[f]){var m=h[k];m||(m=h[k]=[]);m.push(a)}}kc(a,e,b[0],lc);for(f=1;f<c;f++)kc(a,e,b[f],mc)}}}function R(a,b,c){nc(new ec(a,b,c===void 0?null:c))} function Q(a,b,c){var d=oc;typeof b==="string"&&(pc[0]=b,b=pc);var e=b.length;a=ic(a);for(var f in a)for(var h in a[f])for(var k=0;k<e;k++)d(f,h,b[k],c)}function ic(a){typeof a==="string"&&(qc[0]=a,a=qc);for(var b=a.length,c=Object.create(null),d=0;d<b;d++){var e=a[d],f=e.charAt(0),h=e.substr(1);if(f!="#"&&f!="."||!h)throw Error("bad selector: "+e);(e=c[f])||(e=c[f]=Object.create(null));e[h]=!0}return c} function oc(a,b,c,d){var e=rc[c];e||(c!="touchstart"&&c!="mouseover"&&c!="mouseout"&&C(document,c,sc,c=="focus"||c=="blur"),e=rc[c]=Object.create(null));(c=e[a])||(c=e[a]=Object.create(null));(a=c[b])||(a=c[b]=new B);a.add(d)}function sc(a){var b=a.target;b&&b.nodeType==3&&(b=b.parentNode);nc(new ec(a.type,b,a))} function nc(a){for(var b=a.target;b&&b!=document&&!b.disabled&&!u(b,"gs_dis");){a.currentTarget=b;var c=b.id;if(c&&!tc("#",c,a))break;c=b.classList||[];for(var d=c.length,e=0;e<d;e++)if(!tc(".",c[e],a))return;b=b.parentNode}}function tc(a,b,c){var d=rc[c.type];(b=(a=d&&d[a])&&a[b])&&b.notify(c);return!c.Z}function kc(a,b,c,d){var e=c.aa;c=c.ua;for(var f in c){var h=oa(d,a,c[f]);Q(e,f,h);b.push(new fc(e,f,h))}}function lc(a,b,c){var d=c.currentTarget;a=uc(a,d)||a;a=vc(a,d);b.call(a,c)} function mc(a,b,c){a:{for(var d=c.currentTarget;d&&d!=document;){var e=uc(a,d);if(e){a=vc(e,d);break a}d=d.parentNode}a=void 0}a&&b.call(a,c)}function vc(a,b){var c=wc(b),d=xc[c];d||(d=xc[c]=[]);for(var e=d.length,f=0;f<e;f++){var h=d[f];if(h instanceof a)return h}b=new a(b);d.push(b);a=Pa(a);(d=yc[a])||(d=yc[a]=[]);d.push(c);return b}function uc(a,b){var c,d=b.id;d&&(c=zc(a,c,"#",d));b=b.classList||[];d=b.length;for(var e=0;e<d;e++)c=zc(a,c,".",b[e]);return c} function zc(a,b,c,d){c=(d=(c=jc[c])&&c[d])?d.length:0;for(var e=0;e<c;e++){var f=d[e];!(f===a||f.prototype instanceof a)||b&&!(f===b||f.prototype instanceof b)||(b=f)}return b}function wc(a){var b=a.getAttribute("data-duid");b||a.setAttribute("data-duid",b=""+Ac++);return b}var rc=Object.create(null),qc=[""],pc=[""],jc=Object.create(null),hc=Object.create(null),yc=Object.create(null),xc=Object.create(null),Ac=100;window.gs_evt_dsp=sc;function Bc(){var a=".gs_md_li";if(typeof a==="string"){var b=a.charAt(0),c=a.slice(1);if(b=="#")a=function(d){return d.id==c&&d.offsetWidth>0};else if(b==".")a=function(d){return u(d,c)&&d.offsetWidth>0};else throw Error("bad selector: "+a);}return a}function Cc(a,b){return a&&((b===void 0?0:b)?a.lastElementChild:a.firstElementChild)}function Dc(a,b){return a&&((b===void 0?0:b)?a.previousElementSibling:a.nextElementSibling)}function Ec(a,b,c){c=c===void 0?!1:c;return Fc(a,b,Bc(),c,!1)} function Fc(a,b,c,d,e){for(var f;b&&a;){if(c(b)){if(e)return b}else for(f=Cc(b,d);f;f=Dc(f,d))if(e=Fc(f,f,c,d,!0))return e;for(e=!0;;){if(b==a)return null;f=b.parentNode;if(b=Dc(b,d))break;b=f}}return null};function Gc(a){return(u(a,"gs_sel")?1:0)+2*(u(a,"gs_par")?1:0)}function Hc(a){return+a.getAttribute("data-s")}function Ic(a,b,c){c=c===void 0?!1:c;v(a,"gs_sel",b==1);v(a,"gs_par",b==2);a.setAttribute("aria-checked",Jc[b]);c||a.setAttribute("data-s",""+b)}var Jc=["false","true","mixed"];var S=function(){this.v=Object.create(null);this.A=0};S.prototype.clear=function(){this.v=Object.create(null);this.A=0};S.prototype.has=function(a){return a in this.v};S.prototype.get=function(a){return this.v[a]};S.prototype.set=function(a,b){this.has(a)||this.A++;this.v[a]=b};S.prototype.delete=function(a){this.has(a)&&(delete this.v[a],this.A--)};var Kc=function(a){var b=window,c=this;this.o=new B;this.da=0;this.ba=[b,a,function(){c.da++||Za(d)},!1];var d=function(){c.da=0;c.o.notify()}};Kc.prototype.addListener=function(a){this.o.getSize()||C.apply(null,this.ba);this.o.add(a)};Kc.prototype.removeListener=function(a){this.o.remove(a);this.o.getSize()||D.apply(null,this.ba)};var Lc=new Kc("scroll"),Mc=new Kc("resize");var Nc=new B;function Oc(){var a=document.documentElement,b=ua();b={gs_el_ph:b==1,gs_el_ta:b==2,gs_el_sm:b!=4,gs_el_tc:va||b==1};var c;for(c in b){var d=b[c];if(u(a,c)!=d){var e=!0;v(a,c,d)}}e&&Nc.notify()}v(document.documentElement,"gs_el_ios",ra);Oc();Mc.addListener(Oc);C(window,["pageshow","load"],Oc);var Pc=function(a,b,c,d,e,f){this.i=a;this.F=b;this.D=c;this.H=d;this.Y=e;this.C=f;this.m=null},Qc=function(a,b){a.m=b},Rc=function(){this.l=[];this.j=-1};Rc.prototype.push=function(a){++this.j;this.j==this.l.length?this.l.push(a):(this.l[this.j]=a,this.l.splice(this.j+1,this.l.length-this.j))};Rc.prototype.pop=function(){--this.j}; var Sc=function(a){for(var b=T;b.j>a;)mb(b.top().i)},Tc=function(a,b){for(var c=0;c<a.l.length&&!(a.l[c].C>=b);++c);return c},Uc=function(a){for(var b=T,c=b.j;c>=0;c--)if(b.l[c].i==a)return c;return-1};Rc.prototype.top=function(){return this.at(this.j)};Rc.prototype.at=function(a){return this.l[a]||null};function Vc(a,b){var c=a==T.j;T.j=a;b&&!L&&!K(window.history.state)&&rb();c||Wc()} function V(a,b,c,d){b=b===void 0?"":b;c=c===void 0?"":c;d=d===void 0?"":d;var e=T.top();e&&a==e.i&&b==e.F&&c==e.D||(T.push(new Pc(a,b,c,d,e&&e.i==a?e.Y+1:1,Date.now())),b=sb(),a=tb(),a=ub(a),b=vb(b),b=wb(b)||"#",L=K(a),xb?window.history.pushState(a,"",b):window.location.assign(b),Wc())}function Xc(a){a=Yc(A(a));return!!a&&u(a,"gs_md_wmw")&&u(document.documentElement,"gs_el_ph")} function Zc(){var a=A("gs_top"),b=document.documentElement;a=a.scrollHeight>b.clientHeight;for(var c=!1,d=0;d<=T.j&&!c;++d)c=!Xc(T.at(d).i);v(A("gs_md_s"),"gs_vis",c);c=T.j;c>=1&&(c=T.at(c-1).i,d=Xc(c),v(A(c),"gs_md_ins_vis",!d));b.style.overflowY=a&&!Xc(T.top().i)?"scroll":""} function Wc(){function a(){var z=c.clientHeight,x=+F.getAttribute("data-h");x||(h.style.maxHeight="none",x=f.offsetHeight);var y=f.querySelector(".gs_md_ftr");x=Math.max((z-x)/2,10);z=Math.max(z-48-(y?y.offsetHeight:0)-2*x,10);y=Xc(e);f.style.top=y?"auto":x+"px";h.style.maxHeight=y?"none":z+"px";bd(h)}var b=T.top(),c=document.documentElement,d=A("gs_top"),e=b.i,f=A(e),h=A(e+"-bdy"),k=1200+T.j,m=A(f.getAttribute("data-cid")||f.id+"-bdy")||f,l=b.H,t=b.D,E=b.F,G=A("gs_md_s"),aa=A(e).getAttribute("data-shd")|| "",F=Yc(f),U=window.pageYOffset,$c=E&&E[0]!="#"&&!l,ad=T.j>0?T.at(T.j-1).i:"",ta=!!I[e];$c?(ta?v(m,"gs_md_ldg",!0):cd(f,m,'<div class="gs_md_prg">'+A("gs_md_ldg").innerHTML+"</div>",b),R("gs-md-ldin",m)):(l&&cd(f,m,l,b),R("gs-md-lded",m));ta&&e==ad||ib(f,function(){(F||f).style.zIndex=k;dd(aa);if(!ta){F&&q(F,"gs_vis");q(f,"gs_vis");v(f,"gs_abt",Fb);v(G,"gs_abt",Fb);ed(e);if(T.j==0){var z=Zc;Nc.add(z);z()}else Zc();F&&h&&(a(),Mc.addListener(a))}T.j==0&&(q(d,"gs_nscl"),d.style.top=-U+"px")},function(){ta|| (Mc.removeListener(a),F&&r(F,"gs_vis"),r(f,"gs_vis"),r(f,"gs_abt"));for(var z=T.top()?T.top().Y:0;T.top()&&T.top().i==e;){var x=T.top();dc(x.m);x.m=null;T.pop()}if(T.top()){if(x=T.top().i,dd(A(x).getAttribute("data-shd")||""),r(A(x),"gs_md_ins_vis"),ta){x=Uc(e);var y=T.at(x);(F||f).style.zIndex=1200+x;cd(f,m,y.H,y)}}else r(G,"gs_vis"),r(G,"gs_abt");T.j==-1?(Nc.remove(Zc),c.style.overflowY="",r(d,"gs_nscl"),d.style.top="auto",window.scrollTo(0,U)):Zc();fd||(z>0?window.history.go(-z):rb())},gd(f),hd(f), ad);$c&&(dc(b.m),b.m=null,Qc(b,cc(E,t,function(z,x,y){b.m=null;y=(z=z==200&&y.match(/^text\/html(;.*)?$/i))?x:id();cd(f,m,y,b);if(z)for(z=e,y=0;y<T.l.length;++y){var Wa=T.at(y);z==Wa.i&&E==Wa.F&&t==Wa.D&&(Wa.H=x,y==T.j&&rb())}R("gs-md-lded",m)})))}function Yc(a){a=a.parentNode;return u(a,"gs_md_wnw")?a:null}function gd(a){return(a=a.getAttribute("data-ifc"))?A(a):null}function hd(a){return(a=a.getAttribute("data-cfc"))?A(a):null} function cd(a,b,c,d){v(b,"gs_md_ldg",!1);for(var e=b.querySelectorAll("[data-duid]"),f=e.length,h={},k=0;k<f;k++){for(var m=wc(e[k]),l=xc[m],t=l?l.length:0,E=0;E<t;E++){var G=l[E],aa=Pa(G.constructor),F=h[aa];F||(F=h[aa]={});F[m]=!0;G&&typeof G.dispose=="function"&&G.dispose()}delete xc[m]}for(var U in h){U=+U;e=h[U];k=(f=yc[U])?f.length:0;for(l=m=0;l<k;l++)t=f[l],t in e||(f[m++]=t);m?f.length=m:delete yc[U]}b.innerHTML=c;d.H=c;ed(a.id);dc(d.m);d.m=null} function jd(a){return(a=T.at(Uc(a)))?a.F:""}function ed(a){if(a=document.querySelector("#"+a+">.gs_md_bdy"))a.scrollTop=a.scrollLeft=0,bd(a)}function bd(a){var b=a.style,c="padding"+(Ga(a)?"Left":"Right");b[c]="";var d=a.offsetWidth-a.clientWidth;d>2&&(a=parseInt(window.getComputedStyle(a,null)[c],10)||0,b[c]=Math.max(a-d,0)+"px")}function id(){return'<div class="gs_md_prg"><div class="gs_alrt">'+A("gs_md_err").innerHTML+"</div></div>"} function sb(){var a=T.top();return{d:a&&a.i||void 0,u:a&&a.F||void 0,p:a&&a.D?"1":void 0,t:a&&a.C||void 0}}function tb(){var a=T.top();return{n:a&&a.Y||0,p:a&&a.D||"",h:a&&a.H||""}}function dd(a){if(kd!=a){var b=A("gs_md_s");kd&&r(b,kd);(kd=a)&&q(b,a)}}var fd=0,kd="",T=new Rc; Eb.add(function(){var a=zb(window.location.hash),b=a.d||"",c=b?A(b):null;++fd;if(c){var d=a.u||"";c=+a.p>0;var e=+a.t||0,f=L||K(window.history.state)||{};a=+f.n||0;var h=""+(f.p||"");f=""+(f.h||"");d.match(Oa)||(d="");for(var k=Tc(T,e),m=k;m<T.l.length;++m){var l=T.at(m);if(e<l.C&&l.i!=b)break}for(l=k-1;l>=0;--l){var t=T.at(l);if(e>t.C&&t.i!=b)break}Sc(m-1);for(m=0;m<=l;++m)t=T.at(m).i,I[t]||Vc(l,!1);if(l=k<T.l.length)l=T.at(k),l=b==l.i&&d==l.F&&c==!!l.D&&e==l.C;l?Vc(k,!0):(a==0&&(Sc(-1),T=new Rc, e=Date.now()),c!=!!h&&(d=h="",f=id()),b=new Pc(b,d,h,f,a,e),c=T,e=b.C,a=Tc(c,e),e=a<c.l.length&&e==c.at(a).C,c.l.splice(a,e?1:0,b),T.j=a,rb(),Wc())}else Sc(-1);--fd});var ld=function(a){p.call(this);this.K=a;this.W=Object.create(null);this.m=null;a=a.querySelectorAll(".gs_in_txtw>input[type=text]");for(var b=a.length;b--;){var c=a[b],d=c.parentNode.querySelector(".gs_in_txts");c=c.name;d&&c&&(this.W[c]=d.innerHTML)}};ma(ld,p);ld.prototype.T=function(){dc(this.m);this.K=this.m=null;p.prototype.T.call(this)}; ld.prototype.pa=function(a){var b=this;N(a);if((a=this.K)&&!this.m){var c="json=&"+Ha(a);md(this,!0);this.m=cc(a.action,c,function(d,e){b.m=null;md(b,!1);var f=b.K,h=f.getAttribute("data-alrt");if(h=h?A(h):null)h.innerHTML="";try{var k=d==200&&JSON.parse(e)}catch(F){}d=!1;k&&typeof k=="object"||(nd(h,A("gs_md_err").innerHTML),k={},d=!0);f.setAttribute("data-p",""+(k.P||""));R("gs-ajax-form-done",f);if(e=k.L)La(""+e);else{if(e=k.M)nd(h,e),d=!0;e=1E6;if(h&&h.innerHTML){var m=h;e=h.getBoundingClientRect().top}h= f.elements;k=k.E;typeof k=="object"||(k=Object.create(null));for(var l in b.W){var t=h[l],E=void 0,G=""+(k[l]||""),aa=t.parentNode.querySelector(".gs_in_txts");v(t.parentNode,"gs_in_txte",!!G);aa&&(aa.innerHTML=G||b.W[l]||"");G&&(E=t.getBoundingClientRect().top)<e&&(m=t,e=E);d=d||!!G}(f=f.getAttribute("data-d"))&&!d&&mb(f);m&&m.scrollIntoView&&(e<0||e+20>window.innerHeight)&&m.scrollIntoView()}})}}; var md=function(a,b){a=a.K;var c=a.getAttribute("data-bsel");a=c?document.querySelectorAll(c):a.querySelectorAll("button");for(c=a.length;c--;){var d=a[c];d.disabled=b;v(d,"gs_bsp",b)}},nd=function(a,b){if(a)a.innerHTML=b;else{var c=c===void 0?"":c;var d=d===void 0?"":d;var e=e===void 0?[]:e;A("gs_alrt_m").innerHTML=b;Yb().action=d.match(Ka)?d:"";a=A("gs_alrt_l");a.textContent=c;c=A("gs_alrt_h");c.innerHTML="";for(var f in e)b=document.createElement(Ba.G),b.type="hidden",b.name=f,b.value=e[f],c.appendChild(b); Vb();v(a,"gs_fm_s",!0);Xb()}};gc(ld,[new O(".gs_ajax_frm",{submit:ld.prototype.pa})]);var od=[[1,0,1],[2,0,1]];Q(".gs_cb_gen","click",function(a){var b=a.currentTarget,c=Gc(b),d=+b.getAttribute("data-s")==2;Ic(b,od[+d][c],!0);R("gs-change",b,a.g)});Q(".gs_cb_gen",["keydown","keyup"],function(a){var b=a.currentTarget,c=a.g.keyCode;b.tagName!="BUTTON"||c!=13&&c!=32||(N(a),a.type=="keydown"&&b.click())});Q([".gs_cb_gen",".gs_md_li"],"keydown",function(a){var b=a.currentTarget,c=b.tagName,d=a.g.keyCode;c!="BUTTON"&&(d==32||d==13&&c!="A")&&(N(a),b.click())});var pd=["click","contextmenu","mouseup"].concat(navigator.sendBeacon?[]:["mousedown","touchstart"]),qd="",rd=null;function sd(){rd=null}function td(a){navigator.sendBeacon?navigator.sendBeacon(a):rd&&a==rd.src||((rd=new Image).src=a,setTimeout(sd,1E3))}function ud(){var a=Ab(document.location.href).hl||"";a="/scholar_bfnav?url="+encodeURIComponent(document.location.href)+"&hl="+encodeURIComponent(a)+"&ei="+GSP.eventId;td(a)}H(function(){qd=Ub?"&bn=1":"";Ub&&ud()}); C(window,"pageshow",function(a){a.persisted&&(qd="&bn=1",ud())}); C(document,pd,function(a){if(!(a.type=="click"&&a.button||a.type=="mouseup"&&a.button!=1)){var b,c;a:{for(a=a.target;a;){var d=a.nodeName;if(d=="A")break a;if(d=="SPAN"||d=="B"||d=="I"||d=="EM"||d=="IMG")a=a.parentNode;else break}a=null}a&&(b=a.getAttribute("href"))&&(c=a.getAttribute("data-clk"))&&(b="/scholar_url?url="+encodeURIComponent(b)+"&"+c+"&ws="+window.innerWidth+"x"+window.innerHeight+"&at=",c=encodeURIComponent,a=(a=a.getAttribute("data-clk-atid"))?A(a):null,b=b+c(a&&a.innerText||"")+ qd,td(b))}},!1,!0);Q(".gs_fm_s","click",function(a){a=a.currentTarget.getAttribute("data-fm")||"";(a=A(a))&&a.submit()});var W=function(a){this.i=Ea(a.querySelector(".gs_md_d"));this.S=Ea(a.querySelector(".gs_md_tb"))};W.prototype.U=function(a){var b=A(this.i);return a!==void 0?Ec(b,b,a):null};W.prototype.open=function(a){a=this.U(a);if(u(A(this.S),"gs_sel"))try{a&&a.focus()}catch(c){}else{var b=A(this.S);hb(this.i,function(){q(b,"gs_sel")},function(){r(b,"gs_sel")},a,b)}};W.prototype.close=function(){mb(this.i)};W.prototype.ha=function(a){N(a);u(A(this.S),"gs_sel")?this.close():this.open(a.g.type=="keydown"?!1:void 0)}; W.prototype.ca=function(a){var b=a.g.keyCode;if(b==38||b==40)N(a),this.open(b==38)};W.prototype.ja=function(a){a.target.id==this.i&&this.ca(a)};gc(W,[new O(".gs_md_rmb",{}),new O(".gs_md_tb",{"gs-press":W.prototype.ha,keydown:W.prototype.ca}),new O(".gs_md_d",{keydown:W.prototype.ja})]);var vd=function(a){W.call(this,a);this.ra=Ea(a.querySelector(".gs_md_in"));this.ta=Ea(a.querySelector(".gs_md_tb .gs_lbl"))};ma(vd,W);vd.prototype.U=function(){return A(this.i).querySelector(".gs_md_li[aria-selected]")};vd.prototype.ka=function(a){wd(this,a)};vd.prototype.V=function(a){var b=a.g.keyCode;b!=13&&b!=32||wd(this,a)}; var wd=function(a,b){var c=b.currentTarget,d=A(a.ra),e=a.U();c!=e&&(d.value=c.getAttribute("data-v"),A(a.ta).innerHTML=c.innerHTML,e&&xd(e,!1),xd(c,!0));N(b);a.close();R("gs-change",d,b.g)},xd=function(a,b){v(a,"gs_sel",b);b?a.setAttribute("aria-selected","true"):a.removeAttribute("aria-selected")};gc(vd,[new O(".gs_md_ris",{}),new O(".gs_md_li",{click:vd.prototype.ka,keydown:vd.prototype.V})]);Q("#gs_lp","click",function(a){N(a);V("gs_lp_d")});Q("#gs_lp_cur","click",function(a){N(a);mb("gs_lp_d")});var yd=function(a){this.ea=Ea(a)};yd.prototype.V=function(a){var b=a.currentTarget,c=a.g.keyCode;if(c==38||c==40){var d=A(this.ea);d=Ec(d,b,c==38)||Ec(d,d,c==38)}else if(c==37||c==39)a:{c=c==37!=Ga(b.parentNode);d=b.parentNode;var e=d.children,f=e.length;if(d.id!=this.ea){for(;e[--f]!=b;);d=Dc(d,c)||Cc(d.parentNode,c);e=d.children;if(f=Math.min(f+1,e.length))if(d=e[f-1],u(d,"gs_md_li")&&d.offsetLeft!=b.offsetLeft)break a}d=void 0}d&&(N(a),d.focus())}; gc(yd,[new O(".gs_md_ulr",{}),new O(".gs_md_li",{keydown:yd.prototype.V})]);Q("#gs_hdr_mnu","click",function(a){N(a);V("gs_hdr_drw")});Q("#gs_hdr_drw_mnu","click",function(a){N(a);mb("gs_hdr_drw")});Q("#gs_hdr_act_i","click",function(a){N(a);ua()==1?La(document.querySelector("#gs_hdr_drw_bot>a").href):hb("gs_hdr_act_d")});Q("#gs_hdr_drw","keydown",function(a){var b=a.g.keyCode;if(b==38||b==40){var c=a.currentTarget;if(b=Ec(c,c,b==38))N(a),b.focus()}}); Q("#gs_hdr_tsi",["focus","blur"],function(a){function b(){var h=d.getBoundingClientRect().top-10;Math.abs(h)>10&&window.scrollBy(0,h);clearTimeout(e);c()}function c(){D(window,f,b)}var d=a.target;a=a.type=="focus";v(A("gs_hdr"),"gs_hdr_ifc",a);if(a&&va&&!(window.innerHeight>749)){var e=setTimeout(c,1E3),f=["scroll","resize"];C(window,f,b)}});Q("#gs_hdr_tsi",["input","gs-change"],function(a){v(A("gs_hdr_frm"),"gs_hdr_tsc",!!a.currentTarget.value)}); Q("#gs_hdr_tsc","mousedown",function(a){N(a);var b=A("gs_hdr_tsi");b.value="";b.focus();R("input",b,a.g)});Q("#gs_hdr_sre","click",function(a){N(a);var b=A("gs_hdr");hb("gs_hdr_frm",function(){r(b,"gs_hdr_src");q(b,"gs_hdr_srx")},function(){q(b,"gs_hdr_src");r(b,"gs_hdr_srx")},A("gs_hdr_tsi"))});Q(".gs_md_x","click",function(a){(a=a.currentTarget.getAttribute("data-mdx"))&&mb(a)});var X=function(){},zd,Ad;X.prototype.ia=function(a){a.g.button||(N(a),Bd(a))};X.prototype.la=function(a){Cd(a)&&(N(a),Bd(a))};X.prototype.ma=function(a){Cd(a)&&N(a)};X.prototype.na=function(a){if(!a.g.button){N(a);var b=a.g;b&&(Dd=b.clientX||0,Ed=b.clientY||0,C(document,Fd,Gd,!0),clearTimeout(zd),zd=setTimeout(Hd,2E3));Bd(a)}}; X.prototype.qa=function(a){N(a);if(Id){var b=a.g;b=b&&b.touches||[];if(b=b.length==1?b[0]:null)Jd=b.clientX,Kd=b.clientY,C(document,Ld,Md,!0),clearTimeout(Ad),Ad=setTimeout(Nd,2E3)}Bd(a)}; var Cd=function(a){a=a.g.keyCode;return a==32||a==13},Bd=function(a){R("gs-press",a.currentTarget,a.g)},Hd=function(){D(document,Fd,Gd,!0);clearTimeout(zd);zd=void 0},Gd=function(a){a.type!="mousedown"&&Math.abs(a.clientX-Dd)<10&&Math.abs(a.clientY-Ed)<10?($a(a),a.type=="click"&&Hd()):Hd()},Nd=function(){D(document,Ld,Md,!0);clearTimeout(Ad);Ad=void 0},Md=function(a){a.type!="touchstart"&&Math.abs(a.clientX-Jd)<10&&Math.abs(a.clientY-Kd)<10?($a(a),a.type=="click"&&Nd()):Nd()},Dd=0,Ed=0,Fd=["mousedown", "mouseup","click"],Id=w("Android")&&!w("Chrome"),Jd=0,Kd=0,Ld=["touchstart","mousedown","mouseup","click"];gc(X,[new O(".gs_press",{click:X.prototype.ia,keydown:X.prototype.la,keyup:X.prototype.ma,mousedown:X.prototype.na,touchstart:X.prototype.qa})]);function Od(a){Pd.style.left=Qd&&Rd===Sd?a.left+"px":"auto";Pd.style.width=Qd?a.width+"px":"auto";R("gs-sth-change",A("gs_sth"))}function Td(){var a=Ud.getBoundingClientRect(),b=a.top,c=Pd.offsetHeight,d=b<0,e;if(e=d&&ra)e=document.activeElement,e=!!e&&e.tagName=="INPUT"&&e.type=="text";b=e?-b-a.height:Sd;var f=Qd!=d||Rd!==Sd!=e;b!==Rd&&(Rd=b,Pd.style.transform=b===Sd?"none":"translate3d(0,"+b+"px,0)");f&&(Qd=d,v(Vd,"gs_sth_vis",d),v(Vd,"gs_sth_trk",e),Od(a),Ud.style.height=Qd?c+"px":"auto")} function Wd(){Qd&&Od(Ud.getBoundingClientRect())}var Sd,Vd,Ud,Pd,Qd=!1,Rd;H(function(){if(Vd=A("gs_sth"))Ud=Vd.querySelector(".gs_sth_g"),Pd=Vd.querySelector(".gs_sth_b"),Lc.addListener(Td),Mc.addListener(Wd),Td()});function Xd(a,b){var c=window.location.href,d=+Ab(c).authuser||0,e=help.service.Lazy.create(0,{apiKey:"AIzaSyBnsHNH76IH8vZplyq6wIQHlfHRq3blfB8",locale:"en-US"});e.requestSurvey({triggerId:a,authuser:d,enableTestingMode:b,callback:function(f){(f=f.surveyData)&&e.presentSurvey({surveyData:f,productData:{customData:{eventId:GSP.eventId,url:c}},colorScheme:1,authuser:d,customZIndex:1050,customLogoUrl:"https://scholar.google.com/scholar/images/scholar48.png"})}})} function Yd(a){var b=a();b.triggerId&&Ma(function(){return Xd(b.triggerId,b.sa)})}function Zd(a){window.location.hash||Ub||H(function(){return Yd(a)})};Ya(function(){var a=document.querySelectorAll(".gs_invis");var b=typeof Symbol!="undefined"&&Symbol.iterator&&a[Symbol.iterator];if(b)a=b.call(a);else if(typeof a.length=="number")a={next:ba(a)};else throw Error(String(a)+" is not an iterable or ArrayLike");for(b=a.next();!b.done;b=a.next())r(b.value,"gs_invis")});function $d(){var a=A("gsc_ecd_form");Ia(a,"continue").value=window.location.pathname+window.location.search;R("submit",a)}function ae(a){var b=A("gsc_ecd_form"),c=A("gsc_ecd_table");b=Ia(b,"articletype");a=a.currentTarget;b.value=a.getAttribute("data-type")||"";c.className=a.getAttribute("data-class")||"";c=document.querySelectorAll("#gsc_ecd_citation_type button");for(b=c.length;b--;)v(c[b],"gs_sel",c[b]==a)};function be(){var a=A("gsc_rsb_co");if(a){a=a.querySelectorAll("img.gs_pp_df");for(var b=0;b<a.length;b++){var c=a[b];c.getAttribute("data-srcset")&&(c.setAttribute("srcset",c.getAttribute("data-srcset")),c.removeAttribute("data-srcset"));c.getAttribute("data-src")&&(c.setAttribute("src",c.getAttribute("data-src")),c.removeAttribute("data-src"))}}};var ce=/\S+@\S+\.\S+/;function de(a){return u(a,"gsc_ccb_dis")||u(a,"gsc_ccb_lim")}function ee(){var a=A("gsc_cods_res"),b=fe()<=0;a=a.querySelectorAll(".gsc_ccb_add");for(var c=a.length;c--;){var d=a[c];u(d,"gsc_ccb_on")||v(d,"gsc_ccb_lim",b)}};function ge(){P(".gsc_lwpds_frm","submit",function(a){N(a);R("gsc-lwpds-submit",a.target)})};var he=function(a){this.fa=a};he.prototype.oa=function(a){N(a);a=a.currentTarget.getAttribute("data-a");this.fa.setAttribute("data-a",a||"");R("gsc-navigate",this.fa)};var ie=[new O(".gsc_pgn",{}),new O([".gsc_pgn_ppr",".gsc_pgn_pnx"],{click:he.prototype.oa})];function je(a,b){b=b===void 0?"":b;var c=A("gsc_md_cod");a+=wb({t:ke});V(c.id,a,"",b)}function le(a){if(ke!=a){var b=A("gsc_md_cod");r(b,ke);q(b,a);ke=a}}function me(){var a=jd("gsc_md_cod");a=zb(a).t;a!="gsc_cod_sugg"&&a!="gsc_cod_lc"||le(a)}function ne(){me();oe(!0)} function pe(){me();oe(!1);for(var a=A("gsc_cods_res").querySelectorAll(".gsc_ccb_ck"),b=a.length;b--;){var c=a[b];if(!de(c)){var d=c.getAttribute("data-authorid")||"";d=(u(c,"gsc_ccb_add")?Y:Z).has(d);v(c,"gsc_ccb_on",d)}}ee();qe();a=Ab(jd("gsc_md_cod"));(b=re())&&(b.value=a.mauthors||"")}function se(){var a=re();a=a?a.value:"";var b=(A("gsc_cods_urls").getAttribute("data-sa")||"").replace(te,"$1"+encodeURIComponent(a));a=a?b:A("gsc_cods_urls").getAttribute("data-lc")||"";je(a)} function ue(a){(a=a.currentTarget.getAttribute("data-a"))&&je(a)} function oe(a){var b=A("gsc_cods_frm");if(b){b=b.elements;var c=b[1];b[0].disabled=c.disabled=a;v(c,"gs_bsp",a)}a=a?null:A("gsc_codb_data");if(c=A("gsc_cods_pp")){var d=a&&a.getAttribute("data-prev");b=a&&a.getAttribute("data-next");var e=a&&a.getAttribute("data-start"),f=a&&a.getAttribute("data-end");c.querySelector(".gsc_pgn_ppn").textContent=e&&f?e+" - "+f:"";e=c.querySelector(".gsc_pgn_ppr");e.disabled=!d;e.setAttribute("data-a",d||"");c=c.querySelector(".gsc_pgn_pnx");c.disabled=!b;c.setAttribute("data-a", b||"")}a&&(ve=+a.getAttribute("data-max")||0,b=A("gsc_cods_save"),Ia(b,"xsrf").value=a.getAttribute("data-xsrf")||"")}function we(a){a=a.currentTarget;if(!de(a)){var b=!u(a,"gsc_ccb_on");v(a,"gsc_ccb_on",b);var c=u(a,"gsc_ccb_add")?".gsc_ccb_del":".gsc_ccb_add",d=a.parentNode;(c=d&&d.querySelector(c))&&r(c,"gsc_ccb_on");c=a.getAttribute("data-authorid")||"";Y.delete(c);Z.delete(c);b&&(u(a,"gsc_ccb_add")?Y:Z).set(c,A("gsc_ucoar-"+c).outerHTML);ee();qe()}} function qe(){var a=Y.A>0||Z.A>0,b=fe(),c=b<0;b=b<=0;A("gsc_cod_done").disabled=!a||c;v(A("gsc_cod_t"),"gsc_cod_changed",a);a=A("gsc_cod_trev");a.textContent=a.getAttribute(b?"data-lim":"data-txt")||"";v(A("gsc_cod_t"),"gsc_cod_lim",b)}function xe(){var a=A("gsc_cods_res").cloneNode(!0),b=a.querySelector("#gsc_codb_content");b||(b=document.createElement(Aa.G),b.id="gsc_codb_content",a.appendChild(b));var c=ye(Y)+ye(Z);b.innerHTML=c;(b=re())&&(b.value="");je("",a.innerHTML)} function ze(){var a=A("gsc_cods_save");Ia(a,"colleague_add").value=qa(Y.v).join(",");Ia(a,"colleague_del").value=qa(Z.v).join(",");a.submit()}function fe(){return ve-Y.A+(ke=="gsc_cod_sugg"?0:Z.A)}function re(){return A("gsc_cods_tsi")}function ye(a){for(var b="",c=qa(a.v),d=c.length;d--;)b+=a.get(c[d]);return b}var ke="gsc_cod_lc",ve=0,te=/([?&]mauthors=)([^&]*)/,Y=new S,Z=new S;function Ae(){var a=A("gsc_md_cbyd_merge");a&&(a.disabled=!0);Ja("")}function Be(){var a=A("gsc_md_cbyd_f"),b=A("gsc_md_cbyd_merge"),c=jd("gsc_md_cbyd"),d=Ab(c).s||"";c=zb(c).c||"";a.elements.s.value=d;Ja(c);b&&a.elements.choose&&(b.disabled=!1,b.getBoundingClientRect().bottom<window.innerHeight&&b.focus())};function Ce(){var a=jd("gsc_md_cbym");a=Ab(a).s||"";var b=A("gsc_md_cbym_e");b&&a&&a.indexOf("&")<0&&b.setAttribute("data-href",(b.getAttribute("data-href")||"").replace(/(&citation_for_view=)[^&]*/,"$1"+a))}function De(a){a=a.currentTarget.getAttribute("data-href")||"";V("gs_md_cita-d",a)};function Ee(a){v(A("gsc_a_sp"),"gs_vis",a==0);v(A("gsc_a_err"),"gs_vis",a==2)}function Fe(){return document.querySelectorAll("#gsc_a_t input[type=checkbox]")}function Ge(){R("gsc-works-change",A("gsc_a_t"))}function He(a){a=Gc(a.currentTarget);for(var b=a==2?Ie:Fe(),c=b.length;c--;)b[c].checked=a!=0;Ge()}function Je(){var a=A("gsc_x_all");if(a){var b=document.querySelectorAll("#gsc_a_t input[type=checkbox]:checked");var c=b.length;var d=Fe().length;c=c?c==d?1:2:0;Ic(a,c);c==2&&(Ie=b)}Ge()} var Ie=[];function Ke(a){N(a);var b=a.currentTarget;a=b.href;var c=b.getAttribute("data-eid")||"";b=(b.getAttribute("data-eud")||"")+","+c;a=A("gsc_md_cbyd_f").action+"&update_op=merge_options&s="+b+wb({c:a});V("gsc_md_cbyd",a)}function Le(a){a=a.currentTarget.getAttribute("data-eid")||"";a=(A("gsc_md_cbym_l").getAttribute("data-act")||"")+"&update_op=merge_options&s="+a;V("gsc_md_cbym",a)} function Me(a){var b=A("gsc_a_tr0"),c=A("gsc_a_trh");b=b.querySelector(".gsc_a_t");c.querySelector(".gsc_a_t").style.width=u(a.currentTarget,"gs_sth_vis")?b.offsetWidth+"px":"auto"};function Ne(a){var b=a.currentTarget,c=Oe,d=c<100?100-c:100;a=(Pe+"&cstart="+(Qe+c)+"&pagesize="+d).replace(/([?&])&+/g,"$1");Ee(0);b.disabled=!0;cc(a,"json=1",function(e,f){b.disabled=!1;try{var h=e==200&&JSON.parse(f)}catch(m){}if(h&&typeof h=="object"){Oe=c+=d;Ee(1);f=""+h.B;e=A("gsc_a_b");var k=document.createElement(Da.G);k.innerHTML=f;f=Array.prototype.slice.call(k.rows);for(k=0;k<f.length;k++)e.appendChild(f[k]);Je();if(e=A("gsc_a_nn"))f=e.innerHTML.replace(/[0-9]+$/,""+A("gsc_a_b").rows.length), e.innerHTML=f;b.disabled=!h.N}else Ee(2)})}var Pe="",Qe=0,Oe=0;function Re(){var a=window.location.href.split("#")[0];Pe=a.replace(/([?&])(cstart|pagesize)=[^&]*/g,"$1");Qe=Math.max(+a.replace(/.*[?&]cstart=([^&]*).*/,"$1")||0,0);Oe=+a.replace(/.*[?&]pagesize=([^&]*).*/,"$1")||0;Oe=Math.max(Math.min(Oe,100),20);Q("#gsc_bpf_more","click",Ne)};function Se(a){for(var b=[!1,!1,!1],c=0;c<b.length;c++){var d=A(Te[c]);d&&(b[c]=!!a(d))}return b}function Ue(){var a=A("gsc_fol_m");if(a){var b=A("gsc_fol_b");if(!(a=!ce.test(a.value))){a:{a=Se(Gc);for(var c=Se(Hc),d=0;d<a.length;d++)if(a[d]!=c[d]){a=!0;break a}a=!1}a=!a}b.disabled=a}} function Ve(a){a.g&&a.g.preventDefault();a=A("gsc_fol_f");var b=A("gsc_fol_inp");b.innerHTML="";for(var c=Se(Gc),d=Se(Hc),e=0;e<c.length;e++)if(c[e]!=d[e]){var f=We[e],h=document.createElement(Ba.G);h.type="hidden";h.name=c[e]?f:"un"+f;b.appendChild(h)}R("gsc-fol-submit",a)}var Te=["gsc_fol_a","gsc_fol_c","gsc_fol_r"],We=["follow_articles_btn","follow_citations_btn","follow_related_btn"];function Xe(a){if(a.type!="keydown"||a.g&&!ab(a.g)&&a.g.keyCode==13)a.g&&$a(a.g),(a=(a=a.currentTarget.querySelector("a"))?a.getAttribute("href"):"")&&La(a)}function Ye(){le("gsc_cod_lc");ve=0;Y.clear();Z.clear();var a=re();a&&(a.value="");se()}function Ze(){u(document.documentElement,"gs_el_ph")||u(document.documentElement,"gs_el_ta")||be()}function $e(){be()} function af(){P(["#gsc_coauth_opn",".gsc_rsb_btne",".gsc_rsb_btnv"],"click",Ye);P(".gsc_rsb_aa",["click","keydown"],Xe);Q("#gsc_prf_t-ath","click",$e);H(function(){Nc.add(Ze);Ze()})};function bf(){P(["#gsc_fol_a","#gsc_fol_c","#gsc_fol_r"],"gs-change",Ue);Q("#gsc_fol_m","input",Ue);Q("#gsc_fol_f","submit",Ve);P("#gsc_fol_f","gsc-fol-submit",function(a){a.currentTarget.submit()})};function cf(a){if(a){a.id&&a.removeAttribute("id");for(var b=0;b<a.children.length;b++)cf(a.children[b])}}function df(){var a=document.documentElement;!A("gsc_hist_opn")||u(a,"gs_el_ph")||u(a,"gs_el_ta")||V("gsc_md_hist")}function ef(){var a=A("gsc_md_hist_c");if(!a.innerHTML){var b=document.getElementsByClassName("gsc_g_hist_wrp");b.length==1&&(a.appendChild(b[0].cloneNode(!0)),cf(a.lastElementChild))}};function ff(){P("#gsc_lwp_mndt_lnk","click",function(a){var b=a.currentTarget.getAttribute("href")||"";b+="&tzom="+(new Date).getTimezoneOffset();La(b);a.g.preventDefault()})};function gf(){var a=A("gsc_md_pro_f");a.reset();a=a.querySelectorAll(".gs_in_txtw");for(var b=a.length;b--;){var c=a[b];r(c,"gs_in_txte");c.querySelector(".gs_in_txts").innerHTML=""}a=A("gsc_md_pro-d");a.setAttribute("data-ifc","");V(a.id,wb({t:"gsc_md_pro_ed"}))}function hf(){v(A("gsc_prf_w"),"gsc_prf_why")}function jf(){var a=A("gsc_prf_pufii");if(w("MSIE ")){var b=A("gsc_prf_puf");hb("gsc_prf_pufi",function(){q(b,"gsc_prf_pufo")},function(){r(b,"gsc_prf_pufo")},a)}else a.click()} function kf(a){(a.type!="keydown"||a.g.keyCode==13&&a.g&&!ab(a.g))&&jf()}function lf(){A("gsc_prf_puf").submit()}function mf(){v(A("gsc_prf_ion"),"gs_prf_ion_show")}function nf(){Q("#gsc_prf_btne","click",gf);P("#gsc_prf_btnf","click",function(){V("gsc_md_fol")});P("#gsc_md_fol_pub","click",function(){A("gsc_fol_mpf").submit()});Q("#gsc_prf_iv_tg","click",hf);P(".gsc_prf_pel",["click","keydown"],kf);Q("#gsc_prf_pufii","change",lf);Q("#gsc_prf_ion_btn","click",mf)};function of(a){var b=A("gsc_bdy");b.setAttribute("data-tab",a.currentTarget.id);b=b.querySelectorAll(".gsc_prf_tab");for(var c=0;c<b.length;c++){var d=b[c];d.setAttribute("aria-selected",""+(d==a.currentTarget))}}function pf(){var a=document.querySelectorAll(".gsc_prf_pnl"),b=document.documentElement;b=u(b,"gs_el_ph")||u(b,"gs_el_ta");for(var c=0;c<a.length;c++)a[c].setAttribute("role",b?"tabpanel":"region")}function qf(){Q(".gsc_prf_tab","click",of);H(function(){Nc.add(pf);pf()})};(function(){var a=zb(window.location.hash),b=a.u||"";a.d=="gs_md_cita-d"&&b.match(Oa)&&b.indexOf("view_citation")>=0&&La(b);Q("#gsc_md_cod","gs-md-ldin",ne);Q("#gsc_md_cod","gs-md-lded",pe);Q("#gsc_cods_frm","gsc-lwpds-submit",se);Q("#gsc_cods_pp","gsc-navigate",ue);P([".gsc_ccb_add",".gsc_ccb_del"],"click",we);Q("#gsc_cod_trev","click",xe);Q("#gsc_cod_done","click",ze);af();ge();Re();bf();Q("#gsc_md_hist","gs-md-lded",ef);P(["#gsc_hist_opn",".gsc_md_hist_b"],"click",df);ff();nf();qf();Q("#gsc_md_cbyd", "gs-md-ldin",Ae);Q("#gsc_md_cbyd","gs-md-lded",Be);P("#gsc_md_cbym",["gs-md-ldin","gs-md-lded"],Ce);Q("#gsc_md_cbym_e","click",De);gc(he,ie);Ya(Je);Q(".gsc_a_x","change",Je);Q("#gsc_x_all","gs-change",He);Q(".gsc_a_acm","click",Ke);Q(".gsc_a_am","click",Le);Q("#gs_sth","gs-sth-change",Me);Q("#gs_md_cita-b-save","click",$d);Q(".gsc_ecd_form_tsel","click",ae);Zd(function(){var c=A("gsc_bdy").getAttribute("data-usv")||"-";return{triggerId:c.substr(1),sa:c[0]=="+"}})})(); }({"customAC":0,"eventId":"PjVCZ6DMOqm-y9YP7_zFiAE"});</script></head><body><div id="gs_top" onclick=""><style>#gs_md_s,.gs_md_wnw{z-index:1200;position:fixed;top:0;left:0;width:100%;height:100%;visibility:hidden;}.gs_md_ds:before{content:'';position:absolute;background-color:#fff;z-index:100;opacity:0;visibility:hidden;top:0;bottom:0;right:0;left:0;}.gs_md_ds.gs_md_d:not(.gs_el_ph .gs_md_wmw):before{top:-1px;bottom:-1px;right:-1px;left:-1px;}#gs_md_s{background-color:#fff;opacity:0;}.gs_el_ta #gs_md_s,.gs_el_ph #gs_md_s,.gs_el_ta .gs_md_ds:before,.gs_el_ph .gs_md_ds:before{background-color:#666;}#gs_md_s.gs_vis,.gs_md_ds.gs_md_ins_vis:before{opacity:.5;visibility:visible;}.gs_md_wnw{transition:all 0s .218s;}.gs_md_wnw.gs_vis{visibility:visible;transition:all 0s;}.gs_el_tc .gs_md_ds:before{transition:opacity .15s,visibility 0s .15s;}.gs_el_tc .gs_md_ds.gs_md_ins_vis:before{transition:opacity .218s,visibility 0s;}.gs_md_wnw>.gs_md_d{position:relative;margin:0 auto;width:464px;box-shadow:2px 2px 8px rgba(0,0,0,.2);white-space:normal;}.gs_el_ta .gs_md_wnw>.gs_md_d,.gs_el_ph .gs_md_wnw>.gs_md_d{box-shadow:2px 2px 8px rgba(0,0,0,.65);}.gs_el_ph .gs_md_wnw>.gs_md_d{width:80%;max-width:440px;}.gs_el_ph .gs_md_wmw>.gs_md_d{display:flex;flex-direction:column;width:100%;height:100%;max-width:none;border:none;box-shadow:none;transform:translate(0,100%);transform:translate(0,100vh);transition:transform .27s cubic-bezier(.4,0,.6,1),opacity 0s .27s,visibility 0s .27s,max-height 0s .27s;}.gs_el_ph .gs_md_wmw>.gs_md_d.gs_vis{transform:translate(0,0);transition:transform .3s cubic-bezier(0,0,.2,1);}.gs_md_wmw>.gs_md_d.gs_abt,.gs_el_ph .gs_md_wmw>.gs_md_d.gs_abt{transition:none;}.gs_md_hdr{display:flex;align-items:center;height:47px;border-bottom:1px solid #e0e0e0;border-bottom-color:rgba(0,0,0,.12);background-color:#f5f5f5;}.gs_md_hdr>a,.gs_md_hdr>a.gs_btn_lrge{flex:0 0 auto;width:41px;height:47px;}.gs_el_ph .gs_md_hdr>a{margin:0 2px 0 0;}.gs_el_ph a.gs_md_hdr_c{margin:0 0 0 2px;}.gs_md_hdr_b{margin:0 41px 0 16px;}.gs_el_ph .gs_md_hdr_b{margin:0 16px;}.gs_md_hdr_t:empty~.gs_md_hdr_b{margin-left:0;}.gs_md_hdr_b:empty{width:41px;margin:0;}.gs_el_ph .gs_md_hdr_b:empty{margin-right:2px;}.gs_md_hdr_b:empty:not(:last-child){display:none;}.gs_md_hdr_b>button{min-width:51px;height:33px;}.gs_md_hdr_t{flex:1 1 auto;font-size:18px;font-weight:normal;color:#666;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;text-align:center;}.gs_md_bdy{position:relative;overflow-y:auto;box-sizing:border-box;padding:24px 41px 0 41px;}.gs_md_bdy:after{display:block;content:"";clear:both;padding-bottom:24px;}.gs_el_ph .gs_md_bdy{padding:16px 16px 0 16px;}.gs_el_ph .gs_md_bdy:after{padding-bottom:16px;}.gs_el_ph .gs_md_wmw .gs_md_bdy{flex:1;}.gs_md_ftr{border-top:1px solid #e0e0e0;}.gs_md_lbl{display:block;font-size:16px;margin:0 0 16px 0;word-wrap:break-word;}.gs_md_btns{margin:24px 0 0 0;white-space:nowrap;}.gs_el_ph .gs_md_btns{margin:16px 0 0 0;}.gs_md_btns button{margin-right:16px;}.gs_md_btns button:last-child{margin-right:0;}.gs_md_prg{margin:24px 0;text-align:center;}.gs_md_prg .gs_alrt{padding:4px 16px;}.gs_md_ldg:before{content:"";position:absolute;top:0;left:0;bottom:0;right:0;background-color:#fff;opacity:.5;z-index:100;}</style><div id="gs_md_ldg" style="display:none">Loading...</div><div id="gs_md_err" style="display:none">The system can't perform the operation now. Try again later.</div><div id="gs_md_s"></div><div data-h="0" class="gs_md_wnw gs_md_ds"><div id="gsc_md_hist" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_hist-t" data-wfc="gsc_md_hist-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_hist-x" role="button" aria-label="Cancel" data-mdx="gsc_md_hist" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_hist-t" class="gs_md_hdr_t">Citations per year</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_hist-bdy" class="gs_md_bdy"><style>#gsc_md_hist{width:80%;max-width:386px;}#gsc_md_hist_c{position:relative;width:100%;}</style><div id="gsc_md_hist_c"></div></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbyd" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbyd-t" data-cid="gsc_md_cbyd_l" data-wfc="gsc_md_cbyd-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbyd-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbyd" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbyd-t" class="gs_md_hdr_t">Duplicate citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbyd-bdy" class="gs_md_bdy"><form id="gsc_md_cbyd_f" action="/citations?hl=en&user=0rZ39wYAAAAJ&sortby=title&view_op=list_works" method="post"><input type="hidden" name="s" value=""><div class="gs_md_lbl">The following articles are merged in Scholar. Their <a id="gsc_md_cbyd_c" href="javascript:void(0)">combined citations</a> are counted only for the first article.</div><div id="gsc_md_cbyd_l"></div></form></div></div></div><div data-h="600" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cbym" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cbym-t" data-cid="gsc_md_cbym_l" data-wfc="gsc_md_cbym-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cbym-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cbym" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cbym-t" class="gs_md_hdr_t">Merged citations</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_cbym-bdy" class="gs_md_bdy"><div class="gs_md_lbl">This "Cited by" count includes citations to the following articles in Scholar. The ones marked <span id="gsc_md_cbym_s">*</span> may be different from the article in the profile.</div><div id="gsc_md_cbym_l" data-act="/citations?hl=en&user=0rZ39wYAAAAJ&sortby=title&view_op=list_works"></div></div></div></div><div data-h="900" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_cod" class="gs_md_d gs_md_ds gs_ttzi gsc_cod_lc" role="dialog" tabindex="-1" aria-labelledby="gsc_md_cod-t" data-cid="gsc_cods_res" data-wfc="gsc_md_cod-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_cod-x" role="button" aria-label="Cancel" data-mdx="gsc_md_cod" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_cod-t" class="gs_md_hdr_t"><span id="gsc_cod_t"><span id="gsc_cod_tadd">Add co-authors</span><span id="gsc_cod_tedit">Co-authors</span><a id="gsc_cod_trev" href="javascript:void(0)" data-txt="Review" data-lim="Limit reached"></a></span></h2><div class="gs_md_hdr_b"><button type="button" id="gsc_cod_done" aria-label="Add co-authors" disabled class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gsc_md_cod-bdy" class="gs_md_bdy"><div id="gsc_cods_urls" class="gsc_cods_hide" data-ls="" data-lc="/citations?view_op=list_colleagues&hl=en&json=&user=0rZ39wYAAAAJ" data-sa=""></div><form id="gsc_cods_save" action="" method="POST"><input type="hidden" name="colleague_add"><input type="hidden" name="colleague_del"></form><div id="gsc_cods_res"></div></div></div></div><div data-h="800" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_md_cita-d" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_md_cita-d-t" data-cid="gs_md_cita-l" data-wfc="gs_md_cita-d-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_md_cita-d-x" role="button" aria-label="Cancel" data-mdx="gs_md_cita-d" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gs_md_cita-d-t" class="gs_md_hdr_t"></h2><div class="gs_md_hdr_b"><button type="button" id="gs_md_cita-b-save" aria-label="Save" class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gs_md_cita-d-bdy" class="gs_md_bdy"><style>#gs_md_cita-d{width:90%;max-width:1000px;}.gs_el_ph #gs_md_cita-d{width:100%;max-width:none;}#gs_md_cita-d .gs_md_prg{min-height:600px;}</style><div id="gs_md_cita-l" aria-live="assertive"></div></div></div></div><div data-h="0" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gsc_md_fol" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gsc_md_fol-t" data-wfc="gsc_md_fol-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gsc_md_fol-x" role="button" aria-label="Cancel" data-mdx="gsc_md_fol" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gsc_md_fol-t" class="gs_md_hdr_t">Follow</h2><div class="gs_md_hdr_b"></div></div><div id="gsc_md_fol-bdy" class="gs_md_bdy"><form method="post" id="gsc_fol_f" action="/citations?hl=en&user=0rZ39wYAAAAJ&sortby=title&view_op=list_works"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0OGvs1sRdmrkfbwqJIq0jQ9HFI"><input type="hidden" name="user" value="0rZ39wYAAAAJ"><div id="gsc_fol_inp"></div><div id="gsc_fol_cb"><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_a" role="checkbox" aria-checked="false" data-s="0" class="gs_cb_gen gs_in_cb"><span class="gs_lbl">New articles by this author</span><span class="gs_chk"></span><span class="gs_cbx"></span></a></div><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_c" role="checkbox" aria-checked="false" data-s="0" class="gs_cb_gen gs_in_cb"><span class="gs_lbl">New citations to this author</span><span class="gs_chk"></span><span class="gs_cbx"></span></a></div><div class="gsc_fol_cr"><a href="javascript:void(0)" id="gsc_fol_r" role="checkbox" aria-checked="false" data-s="0" class="gs_cb_gen gs_in_cb"><span class="gs_lbl">New articles related to this author's research</span><span class="gs_chk"></span><span class="gs_cbx"></span></a></div></div><div id="gsc_fol_email"><label id="gsc_fol_ml" for="gsc_fol_m">Email address for updates</label><div class="gs_in_txtw gs_in_txtb"><input type="text" class="gs_in_txt" name="email_for_op" value="" id="gsc_fol_m" maxlength="100" autocapitalize="off" autocorrect="off"><div class="gs_in_txts"></div></div></div><div class="gs_md_btns"><button type="submit" id="gsc_fol_b" disabled class=" gs_btn_act gs_btn_lrge gs_btn_lsu"><span class="gs_wr"><span class="gs_lbl">Done</span></span></button></div></form></div></div></div><div id="gs_hdr_drw" class="gs_md_ulr gs_md_ds" role="dialog" tabindex="-1" data-shd="gs_hdr_drs" data-wfc="gs_hdr_drw_mnu" data-cfc="gs_hdr_mnu"><div id="gs_hdr_drw_in"><div id="gs_hdr_drw_top"><a href="javascript:void(0)" id="gs_hdr_drw_mnu" role="button" aria-controls="gs_hdr_drw" aria-label="Options" class="gs_btnMNT gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><a id="gs_hdr_drw_lgo" href="/schhp?hl=en" aria-label="Homepage"></a></div><div><div class="gs_hdr_drw_sec"><a href="/citations?hl=en" role="menuitem" class="gs_btnPRO gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My profile</span></a><a href="/scholar?scilib=1&hl=en" role="menuitem" class="gs_btnL gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My library</span></a><a href="/citations?view_op=metrics_intro&hl=en" role="menuitem" class="gs_btnJ gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Metrics</span></a><a href="/scholar_alerts?view_op=list_alerts&hl=en" role="menuitem" class="gs_btnM gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Alerts</span></a></div><div class="gs_hdr_drw_sec"><a href="/scholar_settings?hl=en" role="menuitem" class="gs_btnP gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Settings</span></a></div></div><div id="gs_hdr_drw_bot" class="gs_hdr_drw_sec"><a href="https://accounts.google.com/Login?hl=en&continue=https://scholar.google.co.in/schhp%3Fhl%3Den" class=" gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Sign in</span></a></div></div></div><div id="gs_hdr" role="banner" class="gs_hdr_src"><a href="javascript:void(0)" id="gs_hdr_mnu" role="button" aria-controls="gs_hdr_drw" class="gs_btnMNT gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><a id="gs_hdr_lgo" class="" href="/schhp?hl=en" aria-label="Homepage"></a><div id="gs_hdr_md"><div id="gs_hdr_srch"><form id="gs_hdr_frm" action="/citations"><input type=hidden name="view_op" value="search_authors"><input type=hidden name="hl" value="en"><div class="gs_in_txtw gs_in_txtb"><input type="text" class="gs_in_txt" name="mauthors" value="" id="gs_hdr_tsi" placeholder="Search profiles" size="50" maxlength="2048" autocapitalize="off" aria-label="Search"><div class="gs_in_txts"></div></div><span id="gs_hdr_tsc"><span class="gs_ico gs_ico_X"></span></span><button type="submit" id="gs_hdr_tsb" name="btnG" aria-label="Search" class="gs_btnG gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></form></div></div><a href="javascript:void(0)" id="gs_hdr_sre" role="button" aria-controls="gs_hdr_frm" aria-label="Search" class="gs_btnTSB gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><div id="gs_hdr_act"><a id="gs_hdr_act_s" href="https://accounts.google.com/Login?hl=en&continue=https://scholar.google.co.in/schhp%3Fhl%3Den">Sign in</a></div></div><style>#gs_alrt{position:fixed;bottom:48px;left:16px;max-width:384px;z-index:1250;display:flex;justify-content:space-between;align-items:center;font-size:13px;line-height:16px;color:#e2e2e2;background:#333;text-align:left;border-radius:3px;box-shadow:0 3px 5px -1px rgba(0,0,0,.2),0 6px 10px 0 rgba(0,0,0,.14),0 1px 18px 0 rgba(0,0,0,.12);visibility:hidden;transform-origin:center;transform:scale(0.8,0.8) translate(0,100%);}.gs_el_ph #gs_alrt{bottom:0;left:0;width:100%;max-width:none;border-radius:0;box-shadow:none;transform:scale(1,1) translate(0,100%);}#gs_alrt.gs_vis{visibility:visible;transform:scale(1,1) translate(0,0);}#gs_alrt.gs_anm{transition:transform .067s cubic-bezier(.4,0,1,1),visibility 0s .067s;}#gs_alrt.gs_vis.gs_anm{transition:transform .067s cubic-bezier(0,0,.2,1);}.gs_el_ph #gs_alrt.gs_anm{transition:transform .084s cubic-bezier(.4,0,1,1),visibility 0s .084s;}.gs_el_ph #gs_alrt.gs_vis.gs_anm{transition:transform .1s cubic-bezier(0,0,.2,1);}#gs_alrt_m{display:block;padding:16px;}#gs_alrt_l{display:block;padding:8px;margin:0 8px 0 -8px;border-radius:3px;color:#fcc934;text-transform:uppercase;text-decoration:none;}#gs_alrt_l:hover{background-color:rgba(255,255,255,.05)}#gs_alrt_l:active{background-color:rgba(255,255,255,.1)}#gs_alrt_l:empty{display:none}#gs_alrt_m a{padding:8px 0;color:#e2e2e2;text-decoration:underline;}#gs_alrt_m a:active{color:#f6aea9}</style><form action="" method="post" id="gs_alrt"><span id="gs_alrt_m"></span><span id="gs_alrt_h"></span><a id="gs_alrt_l" href="javascript:void(0)" class="gs_fm_s" data-fm="gs_alrt"></a></form><div id="gs_bdy"><div id="gs_bdy_sb" role="navigation"><div id="gs_bdy_sb_in"></div></div><div id="gs_bdy_ccl" role="main"><div id="gsc_bdy" class="gs_scl" data-tab="gsc_prf_t-art" data-usv=""><div class="gsc_rsb" role="navigation"><a id="gsc_rsb_gpl" class="gsc_rsb_s" href="/citations?hl=en">Get my own profile</a><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_cit" role="region" aria-labelledby="gsc_prf_t-cit"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Cited by</span><button type="button" id="gsc_hist_opn" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu gsc_rsb_action"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></h3><table id="gsc_rsb_st"><thead><tr><th class="gsc_rsb_sth"></th><th class="gsc_rsb_sth">All</th><th class="gsc_rsb_sth">Since 2019</th></tr></thead><tbody><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="This is the number of citations to all publications. The second column has the "recent" version of this metric which is the number of new citations in the last 5 years to all publications.">Citations</a></td><td class="gsc_rsb_std">131818</td><td class="gsc_rsb_std">87224</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="h-index is the largest number h such that h publications have at least h citations. The second column has the "recent" version of this metric which is the largest number h such that h publications have at least h new citations in the last 5 years.">h-index</a></td><td class="gsc_rsb_std">144</td><td class="gsc_rsb_std">117</td></tr><tr><td class="gsc_rsb_sc1"><a href="javascript:void(0)" class="gsc_rsb_f gs_ibl" title="i10-index is the number of publications with at least 10 citations. The second column has the "recent" version of this metric which is the number of publications that have received at least 10 new citations in the last 5 years.">i10-index</a></td><td class="gsc_rsb_std">1309</td><td class="gsc_rsb_std">1043</td></tr></tbody></table><style>.gsc_g_t{position:absolute;bottom:0;color:#777;font-size:11px;}.gsc_g_a{position:absolute;bottom:13px;width:15px;background:#777;}.gsc_g_a:hover,.gsc_g_a:focus,.gsc_g_a:active{text-decoration:none;cursor:default;}.gsc_g_al{position:absolute;bottom:15px;left:7px;color:#222;background:white;font-size:11px;padding:1px;border:1px solid #777;border-radius:1px;visibility:hidden;opacity:0;transition:opacity .218s,visibility 0s .218s;}.gsc_g_a:hover .gsc_g_al,.gsc_g_a:focus .gsc_g_al,.gsc_g_a:active .gsc_g_al{visibility:visible;opacity:1;transition:all 0s;}#gsc_md_hist{max-width:618px;}.gsc_md_hist_w{position:relative;overflow:hidden;margin-right:43px;}.gs_md_bdy .gsc_md_hist_w,.gs_el_ph .gsc_md_hist_w,.gs_el_ta .gsc_md_hist_w{overflow-x:auto;padding-bottom:16px;}.gsc_md_hist_b{position:relative;height:174px;width:100%;}.gsc_md_hist_b .gsc_g_a{bottom:auto;}.gsc_md_hist_b .gsc_g_t{bottom:auto;top:161px;}.gsc_md_hist_b:after{position:absolute;right:568px;content:"\00A0";}.gsc_g_hist_x{position:relative;margin-right:45px;}.gsc_g_hist_xl{position:absolute;right:8px;width:35px;}.gs_el_ta .gsc_g_hist_xl,.gs_el_ph .gsc_g_hist_xl{right:16px;}.gsc_g_hist_wrp{padding-top:32px;position:relative;}.gs_el_ta .gsc_g_hist_wrp,.gs_el_ph .gsc_g_hist_wrp{padding-right:8px;}.gs_md_bdy .gsc_g_hist_wrp{border-top:0;}.gs_el_tc .gs_md_bdy .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ph .gsc_g_hist_wrp:after,.gs_el_tc.gs_el_ta .gsc_g_hist_wrp:after{display:block;content:"";position:absolute;z-index:100;top:0;left:0;width:20px;height:100%;background-image:linear-gradient(to left,rgba(255,255,255,0),rgba(255,255,255,1) 80%);}.gsc_g_x,.gsc_g_xt{position:absolute;left:0;border-bottom:1px solid #eee;width:100%;text-align:right;}.gsc_g_x{border-bottom:1px solid #eee;}.gsc_g_xtl{position:absolute;color:#777;}.gsc_g_gtr{position:absolute;}.gsc_g_a:last-child .gsc_g_al{right:0;left:auto;}</style><div class="gsc_g_hist_wrp" dir="rtl"><div class="gsc_g_hist_x"><div class="gsc_g_x" style="top:160px;"></div><div class="gsc_g_xt" style="top:0px;"></div><div class="gsc_g_xt" style="top:80px;"></div><div class="gsc_g_xt" style="top:120px;"></div><div class="gsc_g_xt" style="top:40px;"></div></div><div class="gsc_g_hist_xl"><div class="gsc_g_xtl" style="top:153px;">0</div><div class="gsc_g_xtl" style="top:-7px;">17000</div><div class="gsc_g_xtl" style="top:73px;">8500</div><div class="gsc_g_xtl" style="top:113px;">4250</div><div class="gsc_g_xtl" style="top:33px;">12750</div></div><div class="gsc_md_hist_w"><div class="gsc_md_hist_b"><span class="gsc_g_t" style="right:515px">2008</span><span class="gsc_g_t" style="right:483px">2009</span><span class="gsc_g_t" style="right:451px">2010</span><span class="gsc_g_t" style="right:419px">2011</span><span class="gsc_g_t" style="right:387px">2012</span><span class="gsc_g_t" style="right:355px">2013</span><span class="gsc_g_t" style="right:323px">2014</span><span class="gsc_g_t" style="right:291px">2015</span><span class="gsc_g_t" style="right:259px">2016</span><span class="gsc_g_t" style="right:227px">2017</span><span class="gsc_g_t" style="right:195px">2018</span><span class="gsc_g_t" style="right:163px">2019</span><span class="gsc_g_t" style="right:131px">2020</span><span class="gsc_g_t" style="right:99px">2021</span><span class="gsc_g_t" style="right:67px">2022</span><span class="gsc_g_t" style="right:35px">2023</span><span class="gsc_g_t" style="right:3px">2024</span><a href="javascript:void(0)" class="gsc_g_a" style="right:520px;top:157px;height:3px;z-index:17"><span class="gsc_g_al">365</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:488px;top:155px;height:5px;z-index:16"><span class="gsc_g_al">584</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:456px;top:153px;height:7px;z-index:15"><span class="gsc_g_al">846</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:424px;top:149px;height:11px;z-index:14"><span class="gsc_g_al">1250</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:392px;top:141px;height:19px;z-index:13"><span class="gsc_g_al">2027</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:360px;top:134px;height:26px;z-index:12"><span class="gsc_g_al">2777</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:328px;top:124px;height:36px;z-index:11"><span class="gsc_g_al">3863</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:296px;top:111px;height:49px;z-index:10"><span class="gsc_g_al">5226</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:264px;top:94px;height:66px;z-index:9"><span class="gsc_g_al">7112</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:232px;top:80px;height:80px;z-index:8"><span class="gsc_g_al">8544</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:200px;top:62px;height:98px;z-index:7"><span class="gsc_g_al">10418</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:168px;top:48px;height:112px;z-index:6"><span class="gsc_g_al">11963</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:136px;top:29px;height:131px;z-index:5"><span class="gsc_g_al">13970</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:104px;top:9px;height:151px;z-index:4"><span class="gsc_g_al">16102</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:72px;top:9px;height:151px;z-index:3"><span class="gsc_g_al">16098</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:40px;top:22px;height:138px;z-index:2"><span class="gsc_g_al">14754</span></a><a href="javascript:void(0)" class="gsc_g_a" style="right:8px;top:27px;height:133px;z-index:1"><span class="gsc_g_al">14224</span></a></div></div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_mnd" role="region" aria-labelledby="gsc_prf_t-mnd"><div class="gsc_rsb_header gsc_rsb_m_header"><div class="gsc_rsb_m_title">Public access</div><a href="/citations?view_op=list_mandates&hl=en&user=0rZ39wYAAAAJ" id="gsc_lwp_mndt_lnk">View all</a></div><div class="gsc_rsb_hm gs_ota gs_oph"><button type="button" onclick="window.location='/citations?view_op\x3dlist_mandates\x26hl\x3den\x26user\x3d0rZ39wYAAAAJ'" class=" gs_btn_flat gs_btn_flact gs_btn_lrge gs_btn_half gs_btn_lsu"><span class="gs_wr"><span class="gs_lbl">View all</span></span></button></div><div class="gsc_rsb_m"><div class="gsc_rsb_m_a"><span>553 articles</span></div><div class="gsc_rsb_m_na"><div>274 articles</div></div><div class="gsc_rsb_m_bar"><div class="gsc_rsb_m_bar_na" style="width:33%"></div></div><div class="gsc_rsb_m_a"><span>available</span></div><div class="gsc_rsb_m_na"><span>not available</span></div><div class="gsc_rsb_m_desc">Based on funding mandates</div></div></div><div class="gsc_rsb_s gsc_prf_pnl" id="gsc_rsb_co" role="region" aria-labelledby="gsc_prf_t-ath"><h3 class="gsc_rsb_header"><span class="gsc_rsb_title">Co-authors</span></h3><ul class="gsc_rsb_a"><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-IkJvKUUAAAAJ-img{width:29px;height:32px;}.gs_el_ta #gsc_rsb-IkJvKUUAAAAJ-img,.gs_el_ph #gsc_rsb-IkJvKUUAAAAJ-img{width:51px;height:56px;}</style><span id="gsc_rsb-IkJvKUUAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Alexander Marchut" sizes="(max-width:981px) 51px,29px" src="/scholar/images/cleardot.gif" id="gsc_rsb-IkJvKUUAAAAJ-img" class="gs_pp_df" data-src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=IkJvKUUAAAAJ&citpid=1" data-srcset="https://scholar.googleusercontent.com/citations?view_op=tiny_photo&user=IkJvKUUAAAAJ&citpid=1 29w,https://scholar.googleusercontent.com/citations?view_op=small_photo&user=IkJvKUUAAAAJ&citpid=1 51w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=IkJvKUUAAAAJ&citpid=1 116w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=IkJvKUUAAAAJ&hl=en">Alexander Marchut</a><span class="gsc_rsb_a_ext">Principal Scientist</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at its.jnj.com</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li><li><div class="gsc_rsb_aa" tabindex="0"><style>#gsc_rsb-hNZXHBQAAAAJ-img{width:32px;height:32px;}.gs_el_ta #gsc_rsb-hNZXHBQAAAAJ-img,.gs_el_ph #gsc_rsb-hNZXHBQAAAAJ-img{width:56px;height:56px;}</style><span id="gsc_rsb-hNZXHBQAAAAJ" class="gs_rimg gs_pp_tn gs_pp_mo_sm gsc_rsb_a_pht"><img alt="Keirnan Ryan LaMarche" sizes="(max-width:981px) 56px,32px" src="/scholar/images/cleardot.gif" id="gsc_rsb-hNZXHBQAAAAJ-img" class="gs_pp_df" data-src="/citations/images/avatar_scholar_56.png" data-srcset="/citations/images/avatar_scholar_32.png 32w,/citations/images/avatar_scholar_56.png 56w,/citations/images/avatar_scholar_128.png 128w"></span><span class="gsc_rsb_a_desc"><a tabindex="-1" href="/citations?user=hNZXHBQAAAAJ&hl=en">Keirnan Ryan LaMarche</a><span class="gsc_rsb_a_ext">Principal Scientist, Merck</span><span class="gsc_rsb_a_ext gsc_rsb_a_ext2">Verified email at merck.com</span><span class="gsc_rsb_tap"><span class="gs_btnPR"><span class="gs_ico"></span></span></span></span></div></li></ul></div></div><div class="gsc_lcl" role="main" id="gsc_prf_w"><div id="gsc_prf"><a href="javascript:void(0)" role="button" id="gsc_prf_btnf" class="gsc_prf_btn gsc_prf_btn_top gs_btnFA gsc_prf_btn_act"><span class="gs_ico"></span><span class="gsc_prf_btn_lbl">Follow</span></a><div id="gsc_prf_pu"><div id="gsc_prf_pua" class="gs_rimg"><style>#gsc_prf_pup-img{width:128px;height:128px;}@media print{#gs_top #gsc_prf_pup-img{width:80pt;height:80pt;}}</style><img alt="Wei Chen" sizes="print 80px,128px" src="/citations/images/avatar_scholar_128.png" id="gsc_prf_pup-img" srcset="/citations/images/avatar_scholar_128.png 128w,/citations/images/avatar_scholar_256.png 256w"></div></div><div id="gsc_prf_i"><div id="gsc_prf_inw"><div id="gsc_prf_in">Wei Chen</div></div><div class="gsc_prf_il">Sr. Research Investigator at <a href="/citations?view_op=view_org&hl=en&org=3674275271446335276" class="gsc_prf_ila">Bristol-Myers Squibb Co</a>.</div><div class="gsc_prf_il" id="gsc_prf_ivh">Verified email at bms.com</div><div class="gsc_prf_il" id="gsc_prf_int"><a href="/citations?view_op=search_authors&hl=en&mauthors=label:pharmaceutical_development" class="gsc_prf_inta gs_ibl">Pharmaceutical Development</a><a href="/citations?view_op=search_authors&hl=en&mauthors=label:chemical_engineering" class="gsc_prf_inta gs_ibl">Chemical Engineering</a><a href="/citations?view_op=search_authors&hl=en&mauthors=label:cfd" class="gsc_prf_inta gs_ibl">CFD</a><a href="/citations?view_op=search_authors&hl=en&mauthors=label:dem_modeling" class="gsc_prf_inta gs_ibl">DEM Modeling</a></div></div></div></div><div id="gsc_prf_t_wrp" role="navigation"><div id="gsc_prf_t" role="tablist"><a id="gsc_prf_t-art" class="gsc_prf_tab" href="javascript:void(0)" role=tab aria-controls="gsc_art" aria-selected="true">Articles</a><a id="gsc_prf_t-cit" class="gsc_prf_tab" href="javascript:void(0)" role="tab" aria-controls="gsc_rsb_cit">Cited by</a><a id="gsc_prf_t-mnd" class="gsc_prf_tab" href="javascript:void(0)" role="tab" aria-controls="gsc_rsb_mnd">Public access</a><a id="gsc_prf_t-ath" class="gsc_prf_tab" href="javascript:void(0)" role=tab aria-controls="gsc_rsb_co">Co-authors</a></div></div><div class="gsc_lcl gsc_prf_pnl" id="gsc_art" role="region" aria-labelledby="gsc_prf_t-art"><form method="post" action="/citations?hl=en&user=0rZ39wYAAAAJ&sortby=title&view_op=list_works"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0OGvs1sRdmrkfbwqJIq0jQ9HFI"><div id="gsc_a_tw"><table id="gsc_a_t"><thead><tr id="gsc_a_tr0" aria-hidden="true"><th class="gsc_a_t"></th><th class="gsc_a_c"></th><th class="gsc_a_y"></th></tr><tr id="gsc_a_trh"><th class="gsc_a_t" scope="col"><span id="gsc_a_ta">Title</span><div id="gsc_dd_sort-r" class="gs_md_r gs_md_rmb gs_md_rmbl"><button type="button" id="gsc_dd_sort-b" aria-controls="gsc_dd_sort-d" aria-haspopup="true" ontouchstart="gs_evt_dsp(event)" class=" gs_in_se gs_btn_mnu gs_btn_flat gs_btn_lrge gs_btn_half gs_btn_lsu gs_press gs_md_tb"><span class="gs_wr"><span class="gs_lbl">Sort</span><span class="gs_icm"></span></span></button><div id="gsc_dd_sort-d" class="gs_md_d gs_md_ds gs_md_ulr" role="menu" tabindex="-1"><div id="gsc_dd_sort-s" class="gs_oph gsc_dd_sec gsc_dd_sep"><a role="menuitem" href="/citations?hl=en&user=0rZ39wYAAAAJ&view_op=list_works" tabindex="-1" class="gs_md_li">Sort by citations</a><a role="menuitem" href="/citations?hl=en&user=0rZ39wYAAAAJ&view_op=list_works&sortby=pubdate" tabindex="-1" class="gs_md_li">Sort by year</a><a role="menuitem" href="/citations?hl=en&user=0rZ39wYAAAAJ&view_op=list_works&sortby=title" tabindex="-1" class="gs_md_li gsc_dd_sort-sel">Sort by title</a></div></div></div></th><th class="gsc_a_c" scope="col" dir="rtl"><span id="gsc_a_ca"><div class="gs_nph"><a href="/citations?hl=en&user=0rZ39wYAAAAJ&view_op=list_works" class="gsc_a_a">Cited by</a></div><div class="gs_oph">Cited by</div></span></th><th class="gsc_a_y" scope="col"><span class="gsc_a_h" id="gsc_a_ha"><a href="/citations?hl=en&user=0rZ39wYAAAAJ&view_op=list_works&sortby=pubdate" class="gsc_a_a">Year</a></span></th></tr></thead><tbody id="gsc_a_b"><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:V0NsWJcYNhsC" class="gsc_a_at">[6,6]-Phenyl-C<sub>61</sub>-Butyric Acid Methyl Ester/Cerium Oxide Bilayer Structure as Efficient and Stable Electron Transport Layer for Inverted Perovskite Solar Cells</a><div class="gs_gray">R Fang, S Wu, W Chen, Z Liu, S Zhang, R Chen, Y Yue, L Deng, ...</div><div class="gs_gray">ACS nano 12 (3), 2403-2414<span class="gs_oph">, 2018</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=17919083756472988824" class="gsc_a_ac gs_ibl">128</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2018</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:XZpvIhjRgrsC" class="gsc_a_at">{sup 3} P {sub 2} superfluidity in neutron star matter</a><div class="gs_gray">C Wei, L Baojiang, W Dehua, L Lianggang</div><div class="gs_gray">Physical Review. C, Nuclear Physics 77 (6)<span class="gs_oph">, 2008</span></div></td><td class="gsc_a_c"><a href="" class="gsc_a_ac gs_ibl"></a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2008</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:lOLSY4hLU6kC" class="gsc_a_at">11C-phenethylguanidines: Transport kinetics and binding affinities for the human norepinephrine transporter</a><div class="gs_gray">D Raffel, W Chen, Y Jung, D Gildersleeve, N Cozzi</div><div class="gs_gray">Journal of Nuclear Medicine 47 (suppl 1), 72P-72P<span class="gs_oph">, 2006</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=15547130474947731242" class="gsc_a_ac gs_ibl">1</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2006</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:ysAkk8fzSpoC" class="gsc_a_at">140-Gb/s 20-km Transmission of PAM-4 Signal at 1.3<svg class="gs_fsvg" aria-label="\mu \text{m}" width="24px" height="11px" style="vertical-align:-5px;"><g transform="matrix(0.01700, 0.00000, 0.00000, 0.01700, 0.00000, 7.51400)"><path transform="scale(0.48828, -0.48828)" d="M 57 -385 Q 57 -373 59 -369 L 360 840 Q 369 869 392 887 T 446 905 Q 472 905 490 889 T 508 848 Q 508 842 507 838 T 506 831 L 385 352 Q 365 267 365 205 Q 365 129 401 80 T 510 31 Q 659 31 772 217 Q 773 219 773 220 T 774 223 L 922 817 Q 929 844 954 863 T 1008 883 Q 1032 883 1050 867 T 1069 825 Q 1069 813 1067 809 L 920 219 Q 905 161 905 119 Q 905 31 965 31 Q 1029 31 1061 110 T 1118 301 Q 1122 313 1135 313 H 1159 Q 1167 313 1172 306 T 1178 293 Q 1142 150 1099 63 T 961 -23 Q 893 -23 840 16 T 772 121 Q 721 57 652 17 T 508 -23 Q 380 -23 307 37 L 203 -377 Q 197 -406 173 -424 T 119 -442 Q 94 -442 75 -427 T 57 -385 Z "/><g transform="translate(602.56000, 0.00000)"><path transform="scale(0.48828, -0.48828)" d="M 61 0 V 72 Q 131 72 176 83 T 221 137 V 696 Q 221 751 204 775 T 157 805 T 61 811 V 883 L 358 905 V 705 Q 399 793 479 849 T 655 905 Q 891 905 932 713 Q 973 799 1052 852 T 1225 905 Q 1318 905 1381 875 T 1477 783 T 1509 629 V 137 Q 1509 94 1554 83 T 1669 72 V 0 H 1200 V 72 Q 1270 72 1315 83 T 1360 137 V 623 Q 1360 726 1331 789 T 1212 852 Q 1094 852 1017 757 T 940 541 V 137 Q 940 94 985 83 T 1100 72 V 0 H 631 V 72 Q 701 72 746 83 T 791 137 V 623 Q 791 723 762 787 T 643 852 Q 524 852 447 757 T 371 541 V 137 Q 371 94 416 83 T 530 72 V 0 H 61 Z "/></g></g></svg>for Short Reach Communications</a><div class="gs_gray">K Zhong, X Zhou, Y Gao, W Chen, J Man, L Zeng, APT Lau, C Lu</div><div class="gs_gray">IEEE Photonics Technology Letters 27 (16), 1757-1760<span class="gs_oph">, 2015</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=5178593044914239410" class="gsc_a_ac gs_ibl">113</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2015</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:Pd6fkz2DsnkC" class="gsc_a_at">150-W Tm3+-Doped Fiber Lasers With Different Cooling Techniques and Output Couplings</a><div class="gs_gray">T Yu-Long, X Jian-Qiu, C Wei, L Shi-Yu</div><div class="gs_gray">Chinese Physics Letters 27 (10), 104207<span class="gs_oph">, 2010</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=8301093203775079524" class="gsc_a_ac gs_ibl">12</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2010</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:QN61gBE47fQC" class="gsc_a_at">1H-MRS asymmetry changes in the anterior and posterior cingulate gyrus in patients with mild cognitive impairment and mild Alzheimer's disease</a><div class="gs_gray">Z Guo, X Liu, H Hou, F Wei, X Chen, Y Shen, W Chen</div><div class="gs_gray">Comprehensive psychiatry 69, 179-185<span class="gs_oph">, 2016</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=11873208874610449067" class="gsc_a_ac gs_ibl">20</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2016</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:1desnc-wk2oC" class="gsc_a_at">2× 56 GB/s from a double side electroabsorption modulated DFB laser and application in novel optical PAM4 generation</a><div class="gs_gray">M Theurer, H Zhang, Y Wang, W Chen, L Chen, U Troppenz, ...</div><div class="gs_gray">Journal of lightwave technology 35 (4), 706-710<span class="gs_oph">, 2016</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=2524452944749495871" class="gsc_a_ac gs_ibl">25</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2016</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:r0ARIG2f-gUC" class="gsc_a_at">20 (S)-Rg3 blocked epithelial-mesenchymal transition through DNMT3A/miR-145/FSCN1 in ovarian cancer</a><div class="gs_gray">J Li, J Lu, Z Ye, X Han, X Zheng, H Hou, W Chen, X Li, L Zhao</div><div class="gs_gray">Oncotarget 8 (32), 53375<span class="gs_oph">, 2017</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=4019909407665868468" class="gsc_a_ac gs_ibl">42</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2017</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:iI4frfBhC7MC" class="gsc_a_at">25-Gb/s and 40-Gb/s faster-than-Nyquist PON based on low-cost 10G-class optics</a><div class="gs_gray">J Man, S Fu, W Chen, J Gao, X Liu, L Zeng</div><div class="gs_gray">Asia Communications and Photonics Conference, AM1F. 1<span class="gs_oph">, 2015</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=1431748589398396172" class="gsc_a_ac gs_ibl">18</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2015</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:IirLfZ2R_SQC" class="gsc_a_at"><svg class="gs_fsvg" aria-label="3P2" width="25px" height="17px" style="vertical-align:-4px;"><g transform="matrix(0.01700, 0.00000, 0.00000, 0.01700, 0.00000, 14.07077)"><g><g><g><g><g transform="translate(0.00000, -362.89200)"><path transform="scale(0.34180, -0.34180)" d="M 233 160 Q 268 114 324 85 T 443 44 T 571 33 Q 658 33 715 78 T 798 198 T 825 356 Q 825 442 798 515 T 713 634 T 569 680 H 418 Q 410 680 402 687 T 395 702 V 723 Q 395 732 402 738 T 418 745 L 547 754 Q 653 754 717 858 T 782 1077 Q 782 1173 725 1232 T 571 1292 Q 487 1292 413 1267 T 291 1188 Q 334 1188 363 1154 T 393 1077 Q 393 1033 362 1001 T 285 969 Q 238 969 206 1001 T 174 1077 Q 174 1172 235 1236 T 388 1330 T 571 1360 Q 664 1360 760 1329 T 922 1234 T 989 1077 Q 989 950 905 855 T 694 717 Q 785 698 867 649 T 1001 525 T 1053 356 Q 1053 236 981 145 T 798 7 T 571 -41 Q 463 -41 358 -8 T 182 98 T 111 279 Q 111 329 145 362 T 229 395 Q 261 395 287 380 T 330 338 T 346 279 Q 346 230 313 195 T 233 160 Z "/></g></g></g><g transform="translate(398.60800, 0.00000)"><g><path transform="scale(0.48828, -0.48828)" d="M 100 0 Q 80 0 80 27 Q 81 32 84 44 T 92 64 T 106 72 Q 231 72 281 86 Q 307 95 319 141 L 600 1266 Q 604 1286 604 1294 Q 604 1316 580 1319 Q 541 1327 432 1327 Q 412 1327 412 1354 Q 413 1359 416 1371 T 424 1391 T 438 1399 H 1145 Q 1242 1399 1333 1364 T 1482 1259 T 1540 1087 Q 1540 957 1448 855 T 1220 696 T 956 639 H 623 L 498 133 Q 494 113 494 104 Q 494 96 496 90 T 503 83 T 518 80 Q 557 72 666 72 Q 686 72 686 45 Q 679 16 675 8 T 651 0 H 100 Z M 633 700 H 920 Q 1119 700 1223 807 Q 1276 860 1309 960 T 1343 1141 Q 1343 1242 1266 1284 T 1075 1327 H 879 Q 823 1327 805 1317 T 772 1257 L 633 700 Z "/><g transform="translate(642.00000, 150.00000)"><g><path transform="scale(0.34180, -0.34180)" d="M 129 0 V 59 Q 129 68 137 76 L 502 432 Q 523 454 535 466 T 571 502 Q 692 623 759 727 T 827 956 Q 827 1024 804 1083 T 739 1187 T 641 1254 T 516 1278 Q 425 1278 349 1231 T 236 1104 H 242 Q 291 1104 322 1071 T 354 991 Q 354 945 322 912 T 242 879 Q 195 879 162 912 T 129 991 Q 129 1101 190 1185 T 349 1314 T 551 1360 Q 675 1360 786 1313 T 965 1174 T 1034 956 Q 1034 865 993 786 T 892 648 T 726 505 T 588 395 L 338 182 H 526 Q 603 182 687 182 T 836 185 T 905 193 Q 923 212 934 261 T 956 381 H 1034 L 973 0 H 129 Z "/></g></g></g></g></g></g></g></svg> superfluidity in neutron star matter</a><div class="gs_gray">W Chen, B Li, D Wen, L Liu</div><div class="gs_gray">Physical Review C—Nuclear Physics 77 (6), 065804<span class="gs_oph">, 2008</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=16051437684696697259" class="gsc_a_ac gs_ibl">6</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2008</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:tCmJmvnmGv4C" class="gsc_a_at">3 种致病菌多重 PCR 检测体系的建立及应用</a><div class="gs_gray">陈伟，杨迎伍，邓伟，李正国</div><div class="gs_gray">食品与发酵工业 34 (009), 132-136<span class="gs_oph">, 2008</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=1809700890513458687" class="gsc_a_ac gs_ibl">10</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2008</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:3MbNWxKZGl0C" class="gsc_a_at">3, 4: 9, 10-perylene tetracarboxylic acid-modified zinc ferrite with the enhanced peroxidase activity for sensing of ascorbic acid</a><div class="gs_gray">H Lyu, X Zhao, X Yao, W Chen, Z Liu, L Gao, G Fan, X Zhu, Q Liu, ...</div><div class="gs_gray">Colloids and Surfaces A: Physicochemical and Engineering Aspects 586, 124250<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=7347214128095298416" class="gsc_a_ac gs_ibl">22</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:Y2FWPFNJqs4C" class="gsc_a_at">30km downstream transmission using 4× 25Gb/s 4-PAM modulation with commercial 10Gbps TOSA and ROSA for 100Gb/s-PON</a><div class="gs_gray">H Zhang, S Fu, J Man, W Chen, X Song, L Zeng</div><div class="gs_gray">Optical Fiber Communication Conference, M2I. 3<span class="gs_oph">, 2014</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=14454162380532015701" class="gsc_a_ac gs_ibl">77</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2014</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:jLgYsXMKUAIC" class="gsc_a_at">32‐3: Stability Enhancement of Light Emitting Diode Based on Quantum Dots through Atomic Layer Deposition</a><div class="gs_gray">R Lu, W Chen, Y Chen, L Yang, J Hao, N An, H Ma, D Bian, D Wu, ...</div><div class="gs_gray">SID Symposium Digest of Technical Papers 48 (1), 455-458<span class="gs_oph">, 2017</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=15033507546235248237" class="gsc_a_ac gs_ibl">2</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2017</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:o2RX7q-SfW0C" class="gsc_a_at">32‐4: In‐situ Polymerization of Polystyrene for Synthesis of Quantum Dots Composite Particle for Wide Color Gamut Display</a><div class="gs_gray">L Yang, H Liu, R Lu, W Chen, J Hao, N An, H Ma, D Wu, D Bian, K Wang</div><div class="gs_gray">SID Symposium Digest of Technical Papers 48 (1), 459-462<span class="gs_oph">, 2017</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=1371936780711146721" class="gsc_a_ac gs_ibl">3</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2017</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:dg6LyGYAbRwC" class="gsc_a_at">34‐2: A Rapid, Highly Emissive Procedure Synthesize of Giant Pure Red Coreshell Quantum Rods by Using Modified Tributylphosphine‐assisted Method</a><div class="gs_gray">J Qin, J Hao, W Chen, J Deng, D Wang, B Xu, D Wu, K Wang, S Li, Z Wen</div><div class="gs_gray">SID Symposium Digest of Technical Papers 47 (1), 428-431<span class="gs_oph">, 2016</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=16524008337242837043" class="gsc_a_ac gs_ibl">2</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2016</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:V0QqM0Py3VsC" class="gsc_a_at">5-Aminolevulinic acid synthesis in Escherichia coli requires expression of hemA</a><div class="gs_gray">W Chen, CS Russell, Y Murooka, SD Cosloy</div><div class="gs_gray">Journal of bacteriology 176 (9), 2743-2746<span class="gs_oph">, 1994</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=13870903099876082548" class="gsc_a_ac gs_ibl">34</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">1994</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:U9UjdSAZlV4C" class="gsc_a_at">50GeSe2-25In2Se3-25CsI glass doped with Tm3+, Tm3+/Ho3+ and Tm3+/Er3+ for amplifiers working at 1.22 μm</a><div class="gs_gray">H Xiong, T Gao, LUO Lan, C Wei</div><div class="gs_gray">Journal of Rare Earths 29 (10), 920-923<span class="gs_oph">, 2011</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=6725602843071472632" class="gsc_a_ac gs_ibl">3</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2011</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:-DjAm9EnE7YC" class="gsc_a_at">6-Aza-2-thio-thymine stabilized gold nanoclusters as photoluminescent probe for protein detection</a><div class="gs_gray">HH Deng, XQ Shi, P Balasubramanian, KY Huang, YY Xu, ZN Huang, ...</div><div class="gs_gray">Nanomaterials 10 (2), 281<span class="gs_oph">, 2020</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=289362880762505731" class="gsc_a_ac gs_ibl">11</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2020</span></td></tr><tr class="gsc_a_tr"><td class="gsc_a_t"><a href="/citations?view_op=view_citation&hl=en&user=0rZ39wYAAAAJ&sortby=title&citation_for_view=0rZ39wYAAAAJ:Ri4V2ZHMU0cC" class="gsc_a_at">63‐2: <i>Distinguished Paper</i>: Large‐scale Luminance Enhancement Film with Quantum Rods Aligned in Polymeric Nanofibers for High Efficiency Wide Color Gamut …</a><div class="gs_gray">J Qin, Z Wen, S Li, J Hao, W Chen, D Dong, J Deng, D Wang, B Xu, D Wu, ...</div><div class="gs_gray">SID Symposium Digest of Technical Papers 47 (1), 854-857<span class="gs_oph">, 2016</span></div></td><td class="gsc_a_c"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=7161818989296738671" class="gsc_a_ac gs_ibl">1</a></td><td class="gsc_a_y"><span class="gsc_a_h gsc_a_hc gs_ibl">2016</span></td></tr></tbody></table><div id="gsc_a_sp"></div><div id="gsc_a_err" class="gs_alrt">The system can't perform the operation now. Try again later.</div></div><div id="gsc_lwp"><span id="gsc_a_nn">Articles 1–20</span><div id="gsc_bpf"><button type="button" id="gsc_bpf_more" class="gs_btnPD gs_in_ib gs_btn_flat gs_btn_lrge gs_btn_lsu"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl">Show more</span></span></button></div></div></form></div></div></div></div><div id="gs_ftr_sp" role="presentation"></div><div id="gs_ftr" class="gs_md_rmb" role="contentinfo"><div id="gs_ftr_rt"><a href="//www.google.co.in/intl/en/policies/privacy/">Privacy</a><a href="//www.google.co.in/intl/en/policies/terms/">Terms</a><a href="javascript:void(0)" ontouchstart="gs_evt_dsp(event)" role="button" aria-controls="gs_ftr_mnu" aria-haspopup="true" class="gs_press gs_md_tb">Help</a></div><div id="gs_ftr_mnu" class="gs_md_d gs_md_ds gs_ttzi gs_md_ulr" role="menu" tabindex="-1"><a role="menuitem" href="/intl/en/scholar/about.html" tabindex="-1" class="gs_md_li">About Scholar</a><a role="menuitem" href="//support.google.com/websearch?p=scholar_dsa&hl=en" tabindex="-1" class="gs_md_li">Search help</a></div></div></div></body></html>