CINXE.COM

Google Scholar

<!doctype html><html><head><title>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"><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_md_ac{position:absolute;top:28px;left:0;right:0;z-index:1100;white-space:normal;display:none;pointer-events:none;}.gs_md_ac[dir="ltr"]{text-align:left;}.gs_md_ac[dir="rtl"]{text-align:right;}.gs_md_ac ul{list-style-type:none;word-wrap:break-word;line-height:1.24;border:1px solid #e5e5e5;border-color:rgba(0,0,0,.2);background:#fff;box-shadow:0px 2px 4px rgba(0,0,0,.2);touch-action:manipulation;cursor:pointer;-ms-user-select:none;user-select:none;pointer-events:auto;}.gs_md_acp{display:flex;line-height:0;}.gs_md_acp .gs_md_acs,.gs_md_acp ul{max-width:100%;box-sizing:border-box;display:inline-block;vertical-align:top;}.gs_md_acs{visibility:hidden;white-space:pre;height:0;min-width:0%;flex:0 1 auto;font-size:16px;}.gs_el_tc .gs_md_acs{font-size:18px;}.gs_md_acp ul{white-space:nowrap;flex:0 0 auto;}.gs_md_ac li{position:relative;padding:2px 8px;font-size:16px;line-height:20px;color:#222;background-color:#fff;overflow:hidden;text-overflow:ellipsis;}.gs_md_ac li.gs_sel{color:#000;background-color:#c6dafc;}.gs_md_ac li:active{background-color:#e8f0fe;}.gs_el_ios .gs_md_ac li:active{background-color:#fff;}.gs_md_ac li.gs_md_ac_lh,.gs_md_ac li.gs_md_ac_lh b{color:#660099;}.gs_el_tc .gs_md_ac li{padding:11px 8px 9px 8px;font-size:18px;border-top:1px solid #e5e5e5;}.gs_el_tc .gs_md_ac li:first-child{border-top:none;}.gs_md_ac[dir="ltr"] li.gs_md_ac_lh{padding-right:29px;}.gs_md_ac[dir="rtl"] li.gs_md_ac_lh{padding-left:29px;}.gs_el_tc .gs_md_ac[dir="ltr"] li.gs_md_ac_lh{padding-right:49px;}.gs_el_tc .gs_md_ac[dir="rtl"] li.gs_md_ac_lh{padding-left:49px;}.gs_md_ac_lh .gs_ico_X{position:absolute;top:0;}.gs_md_ac[dir="ltr"] .gs_md_ac_lh .gs_ico_X{right:0;}.gs_md_ac[dir="rtl"] .gs_md_ac_lh .gs_ico_X{left:0;}.gs_el_tc #gs_top .gs_md_ac .gs_md_ac_lh .gs_ico_Xt{padding:10px;}.gs_md_ac_lh .gs_ico_X:hover{background-color:#eee;}.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_nav_previous{background-position:0 -119px;width:53px;height:40px;}.gs_ico_nav_first{background-position:-25px -119px;width:28px;height:40px;}.gs_ico_nav_current{background-position:-53px -119px;width:20px;height:40px;}.gs_ico_nav_page{background-position:-73px -119px;width:20px;height:40px;}.gs_ico_nav_next{background-position:-93px -119px;width:71px;height:40px;}.gs_ico_nav_last{background-position:-93px -119px;width:45px;height:40px;}.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_el_sm #gs_hdr_lgt:empty{min-width:60px;}#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_el_sm #gs_ab_ico{width:15px;visibility:hidden;}.gs_el_ta #gs_ab_ico,.gs_el_ph #gs_ab_ico{width:55px;visibility:visible;}#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:120px;}.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:table-cell;}.gs_el_sm #gs_bdy_sb{width:136px;}.gs_el_ta #gs_bdy_sb,.gs_el_ph #gs_bdy_sb{display:none;}.gs_bdy_sb_sec{margin:0 40px 0 56px;}.gs_el_sm .gs_bdy_sb_sec{margin:0 0 0 16px;}.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_el_sm .gs_bdy_sb_sec:first-child:before{margin-top:15px;}#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{}#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;}.gs_res_sb_yyr{padding:5px 0;text-align:center;white-space:nowrap;}.gs_el_tc .gs_res_sb_yyr{padding:10px 0;}.gs_res_sb_yyr .gs_in_txt{width:48px;}#gs_res_ccl{max-width:950px;padding-top:10px;}.gs_el_sm #gs_res_ccl{padding-top:7px;}.gs_el_tc #gs_res_ccl{padding-top:6px;}.gs_el_sm.gs_el_tc #gs_res_ccl{padding-top:0;}.gs_r{position:relative;line-height:1.46;padding:11px 0 16px 0;}.gs_el_sm .gs_r{padding:7px 0 12px 0;}.gs_el_tc .gs_r{padding:15px 0;border-bottom:1px solid #eee;}.gs_el_tc .gs_r.gs_fmar{border-bottom:none;}.gs_r.gs_res_lnfo{font-style:italic;}.gs_rt{position:relative;font-weight:normal;font-size:17px;line-height:19px;margin-right:100px;margin-bottom:2px;}.gs_el_tc .gs_rt{margin-bottom:0;}.gs_el_ph .gs_rt{margin-right:0;}.gs_rt2{font-size:13px;font-weight:normal;}.gs_rt a:link,.gs_rt a:link b,.gs_rt2 a:link,.gs_rt2 a:link b{color:#1a0dab}.gs_rt a:visited,.gs_rt a:visited b,.gs_rt2 a:visited,.gs_rt2 a:visited b{color:#660099}.gs_rt a:active,.gs_rt a:active b,.gs_rt2 a:active,.gs_rt2 a:active b{color:#d14836}.gs_or_ggsm:focus{outline:none;}.gs_ggs{position:relative;z-index:1;float:right;margin-left:24px;min-width:200px;max-width:256px;width:200px;width:calc(100% - 620px);font-size:17px;line-height:19px;}.gs_el_sm .gs_ggs{margin-left:16px;}@media(max-width:699px){.gs_el_sm .gs_ggs{min-width:0;width:182px;}}.gs_el_ph .gs_ggs{width:72px;height:43px;}.gs_el_tc .gs_ggs{margin-top:-14px;}.gs_el_ph .gs_ggsd{position:absolute;top:-1px;right:0;width:72px;height:43px;overflow:hidden;transition:width 0s .3s,height 0s .3s;}.gs_el_ph .gs_ggsd.gs_vis{width:208px;height:88px;transition:none;}.gs_or_ggsm a{display:block;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;margin-bottom:4px;}.gs_el_tc .gs_or_ggsm a{padding:13px 8px 9px 8px;touch-action:none;background:#fff;height:19px;margin-bottom:0;}.gs_el_ph .gs_or_ggsm a{text-decoration:none;}.gs_el_ph .gs_or_ggsm a:focus{outline:none;background:#f1f1f1;}.gs_el_ph .gs_or_ggsm a:active{color:#1a0dab;}.gs_el_ph .gs_or_ggsm a:visited{color:#660099;}.gs_el_ph .gs_or_ggsm{position:absolute;top:0;right:-132px;margin-right:4px;padding:1px 0;width:200px;height:41px;transform:translate(0,0);}.gs_el_ph .gs_or_ggsm.gs_vis{right:0;height:auto;}.gs_el_ph .gs_or_ggsm>a:nth-child(2){height:0;transform:scale(1,0);transform-origin:0 0;}.gs_el_ph .gs_or_ggsm.gs_vis>a:nth-child(2){height:19px;transform:scale(1,1);}.gs_el_ph .gs_or_ggsm:before{content:"";position:absolute;top:0;left:-1px;right:-1px;bottom:0;box-shadow:0 2px 4px rgba(0,0,0,.2);border:1px solid #ccc;opacity:0;z-index:-1;}.gs_el_ph .gs_or_ggsm.gs_vis:before{opacity:1;transition:opacity 0s .3s ;}.gs_el_ph .gs_or_ggsm:after{content:"";pointer-events:none;position:absolute;top:0;left:0;right:0;bottom:0;z-index:1;background-image:linear-gradient(to left,rgba(255,255,255,1),rgba(255,255,255,1) 65%,rgba(255,255,255,0) 70%);}.gs_el_ph .gs_or_ggsm.gs_vis:after{visibility:hidden}.gs_el_ph .gs_or_ggsm.gs_vis.gs_anm{animation:gs_anm_hsli .218s ease-in-out;}.gs_el_ph .gs_or_ggsm.gs_anm{animation:gs_anm_hslo .218s ease-out;}.gs_el_ph .gs_ggs .gs_or_ggsm.gs_vis.gs_anm>a:nth-child(2){animation:gs_anm_vscli .218s ease-in;}@keyframes gs_anm_hsli{0%{transform:translate(66%,0);height:41px;}99%{transform:translate(0,0);height:41px;}100%{transform:translate(0,0);height:auto;}}@keyframes gs_anm_hslo{0%{transform:translate(-66%,0);}100%{transform:translate(0,0);}}@keyframes gs_anm_vscli{0%{transform:scale(1,0);}100%{transform:scale(1,1);}}.gs_ct1{display:inline}.gs_ct2{display:none}.gs_el_ph .gs_ct1{display:none}.gs_el_ph .gs_ct2{display:inline;font-size:13px;font-weight:normal}.gs_ri{max-width:712px}.gs_a a:link,.gs_a a:visited{text-decoration:underline;}.gs_ri .gs_fl a,.gs_a a{white-space:nowrap;}.gs_ri .gs_fl a.gs_wno{white-space:normal;}.gs_ri .gs_fl{font-size:1px;}.gs_ri .gs_fl a{font-size:13px;margin-right:12px;}.gs_ri .gs_fl a:last-child{margin-right:0;}.gs_ri .gs_fl .gs_or_mor{margin:-7px 6px -6px -7px;padding:7px 7px 6px 7px;border-radius:50%;}.gs_ri .gs_fl .gs_or_mor:hover{background-color:rgba(0,0,0,.05);}.gs_el_ph .gs_ri .gs_fl .gs_or_sav{margin-right:4px;}.gs_el_ph .gs_or_sav .gs_or_btn_lbl{display:none;}.gs_el_ph .gs_ri .gs_fl .gs_or_mor{margin-right:-7px;}.gs_or_svg{position:relative;width:15px;height:16px;vertical-align:text-bottom;fill:none;stroke:#1a0dab;}.gs_or:not([data-lid=""]) .gs_or_sav .gs_or_svg{fill:#1a0dab;}.gs_or[data-lid] .gs_or_ldg .gs_or_svg{animation:gs_anm_spin 1.2s .5s linear infinite;}a:active .gs_or_svg,a .gs_or_svg:active,a .gs_or_svg>*:active{stroke:#dd4b39;}.gs_or_btn .gs_or_svg{margin-right:5px;}.gs_or_nvi,.gs_or_mvi .gs_or_mor{display:none}.gs_or_mvi .gs_or_nvi,.gs_or_mvi .gs_nph,.gs_or_mvi .gs_nta{display:inline}.gs_rs{margin:2px 0;word-wrap:break-word;}.gs_rs:empty{margin:0 0 2px 0;}.gs_el_tc .gs_rs{margin:0}.gs_el_ta .gs_rs{margin-right:10%}@media(max-width:780px){.gs_el_ta .gs_rs,.gs_el_ta .gs_a{margin-right:100px;}}.gs_el_ph .gs_rs br,.gs_el_ta .gs_rs br{display:none}@media screen and (min-width:771px){.gs_el_ta .gs_rs br{display:block}}.gs_age{color:#777777}.gs_rs b,.gs_rt b,.gs_rt2 b{color:#000;}.gs_el_tc .gs_rt a{font-size:17px;line-height:20px;padding:12px 0 9px 0;}.gs_el_tc .gs_rt2 a{font-size:14px;line-height:20px;padding:6px 0 4px 0;}.gs_el_tc .gs_a,.gs_el_tc .gs_a a,.gs_el_tc .gs_ri .gs_fl a{padding-top:7px;padding-bottom:6px;}.gs_el_tc .gs_ri .gs_fl a{line-height:29px;}.gs_el_tc .gs_ri .gs_fl{margin-bottom:-6px;}#gs_n{clear:both;margin:1.5em 0;width:600px;text-align:center;}#gs_n td{font-size:13px}#gs_n a:link,#gs_n a:visited{color:#1a0dab}#gs_n a:active{color:#d14836}#gs_nm{clear:both;position:relative;text-align:center;max-width:500px;margin:24px 50px;font-size:15px;line-height:41px;display:none;}#gs_nm button{position:absolute;top:0}#gs_nm .gs_btnPL{left:-50px}#gs_nm .gs_btnPR{right:-50px}#gs_nml{overflow:hidden;white-space:nowrap;}.gs_nma{display:inline-block;width:40px;margin:0 5px;}.gs_el_tc #gs_n,.gs_el_ta #gs_n,.gs_el_ph #gs_n{display:none}.gs_el_tc #gs_nm,.gs_el_ta #gs_nm,.gs_el_ph #gs_nm{display:block}#gs_bdy_sb_ca{margin-top:-6px;}.gs_el_tc #gs_bdy_sb_ca{margin-top:2px;}.gs_res_sb_msc{margin-bottom:12px;}@media print{#gs_gb,#gs_hdr,#gs_ab,#gs_top #gs_bdy_sb,.gs_pda,.gs_ggs,.gs_alrt_btm,#gs_top #gs_n,#gs_top #gs_nm,#gs_ftr,#gs_top .gs_ctc,#gs_top .gs_ctu,#gs_rt_hdr,.gs_rt_hdr_ttl{display:none}#gs_top,#gs_top #gs_bdy,#gs_top #gs_res_bdy,#gs_top #gs_bdy_ccl,#gs_top .gs_r,#gs_top .gs_ri,#gs_top .gs_rs{font-size:9pt;color:black;position:static;float:none;margin:0;padding:0;width:auto;min-width:0;max-width:none;}#gs_top #gs_bdy a{color:blue;text-decoration:none}#gs_top .gs_r{margin:1em 0;page-break-inside:avoid;border:0;}#gs_top .gs_med,#gs_top .gs_rt{font-size:12pt}#gs_top .gs_a,#gs_top #gs_bdy .gs_a a{font-size:9pt;color:green}#gs_top .gs_fl,#gs_top .gs_fl a{font-size:9pt}#gs_top .gs_rs br{display:inline}}.gs_el_ph #gs_ab_ttll{max-width:98px;max-width:calc(100vw - 222px);}@media(max-width:320px){.gs_el_ph #gs_ab_ttll{max-width:98px;}}#gs_res_ab_yy-r,#gs_res_ab_ad-r,#gs_res_ab_mor-r{display:none;}.gs_el_ta #gs_res_ab_yy-r,.gs_el_ph #gs_res_ab_yy-r,.gs_el_ta #gs_res_ab_ad-r,.gs_el_ph #gs_res_ab_ad-r,.gs_el_ta #gs_res_ab_mor-r,.gs_el_ph #gs_res_ab_mor-r{display:inline-block;margin:0;}#gs_res_ab_yy-r:last-child{margin-right:4px;}#gs_res_ab_ad-r:last-child,#gs_res_ab_mor-r:last-child{margin-right:12px;}#gs_res_ab_tmn-d,#gs_res_ab_yy-d,#gs_res_ab_ad-d,#gs_res_ab_mor-d{white-space:normal;word-wrap:break-word;width:208px;width:max-content;min-width:100px;max-width:208px;}#gs_res_ab_yy-d,#gs_res_ab_ad-d,#gs_res_ab_mor-d{left:auto;right:0;}.gs_res_ab_dd_bdy{padding:8px 0;box-sizing:border-box;}.gs_res_ab_dd_sec a.gs_res_ab_sel,.gs_res_ab_dd_sec a[role=menuitemradio]:active{color:#d14836;}.gs_res_ab_dd_sec:before{display:block;content:" ";height:0;border-bottom:1px solid #e5e5e5;margin:8px 0;}.gs_res_ab_dd_sec:first-child:before{display:none;}.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}.gs_qsuggest{max-width:712px;line-height:21px;margin-bottom:2px;}.gs_r .gs_qsuggest{max-width:600px;}.gs_el_ta .gs_r .gs_qsuggest{margin-right:100px;}.gs_qsuggest h2{margin-bottom:8px;font-weight:normal;font-size:17px;}.gs_qsuggest li{display:inline-block;width:100%;font-size:15px;line-height:18px;padding:4px 0 3px;}.gs_qsuggest ul{list-style-type:none;columns:2;column-gap:40px;margin-bottom:-3px;}.gs_el_sm .gs_qsuggest ul{column-gap:16px;margin-bottom:3px;}.gs_qsuggest li:only-child{column-span:all;}.gs_qsuggest li>a{display:inline-block;max-width:100%;word-wrap:break-word;}.gs_el_tc .gs_qsuggest a{padding:8px 0 5px;}.gs_el_tc .gs_qsuggest li{padding:2px 0 1px;}.gs_el_tc .gs_qsuggest ul{margin:0;}.gs_el_tc .gs_qsuggest h2{margin:6px 0;}.gs_qsuggest_bottom h2{padding-top:11px;}.gs_qsuggest_bottom{margin-bottom:40px;}.gs_el_tc .gs_qsuggest_wrap .gs_qsuggest_related h2{padding-bottom:0;}.gs_el_ph .gs_r .gs_qsuggest{margin-bottom:-15px;}.gs_el_ph .gs_qsuggest ul{columns:1;margin:0;}.gs_el_ph .gs_qsuggest li{margin:0;padding:0;position:relative;}.gs_el_ph .gs_qsuggest h2{margin:1px 0 16px;}.gs_el_ph .gs_qsuggest a{display:block;padding:11px 29px 9px 0;border-bottom:1px solid #eee;}.gs_el_ph .gs_qsuggest li:first-child a{border-top:1px solid #eee;}.gs_el_ph .gs_qsuggest_wrap.gs_r li:last-child a{border-bottom:0;}.gs_el_ph .gs_qsuggest a:link,.gs_el_ph .gs_qsuggest a:visited{color:#222;}.gs_el_ph .gs_qsuggest a:hover,.gs_el_ph .gs_qsuggest a:focus{background:#f1f1f1;text-decoration:none;outline:none;}.gs_el_ph .gs_qsuggest li>a:after{content:"";position:absolute;width:7px;height:7px;top:50%;margin-top:-4px;right:10px;border:2px solid #777;border-left:none;border-bottom:none;transform:rotate(45deg);}#gs_md_albl-d{width:483px;}.gs_el_ph #gs_md_albl-d{width:100%;}.gs_lbl_btns{display:flex;justify-content:space-between;padding:18px 16px;}.gs_lbl_hide{display:none;}</style><script>!function(GSP){var m,aa=function(a){var b=0;return function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}}},ba=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},ca=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"); },da=ca(this),q=function(a,b){if(b)a:{var c=da;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&&ba(c,a,{configurable:!0,writable:!0,value:b})}}; q("Symbol",function(a){if(a)return a;var b=function(f,g){this.Wa=f;ba(this,"description",{configurable:!0,writable:!0,value:g})};b.prototype.toString=function(){return this.Wa};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 t=function(a){var b=typeof Symbol!="undefined"&&Symbol.iterator&&a[Symbol.iterator];if(b)return b.call(a);if(typeof a.length=="number")return{next:aa(a)};throw Error(String(a)+" is not an iterable or ArrayLike");},ea=typeof Object.create=="function"?Object.create:function(a){var b=function(){};b.prototype=a;return new b},fa; if(typeof Object.setPrototypeOf=="function")fa=Object.setPrototypeOf;else{var ha;a:{var ia={a:!0},ja={};try{ja.__proto__=ia;ha=ja.a;break a}catch(a){}ha=!1}fa=ha?function(a,b){a.__proto__=b;if(a.__proto__!==b)throw new TypeError(a+" is not extensible");return a}:null} var ka=fa,la=function(a,b){a.prototype=ea(b.prototype);a.prototype.constructor=a;if(ka)ka(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.Qb=b.prototype};q("Symbol.dispose",function(a){return a?a:Symbol("Symbol.dispose")}); q("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 ma=function(a){a=Math.trunc(a)||0;a<0&&(a+=this.length);if(!(a<0||a>=this.length))return this[a]};q("Array.prototype.at",function(a){return a?a:ma});var u=function(a){return a?a:ma};q("Int8Array.prototype.at",u);q("Uint8Array.prototype.at",u);q("Uint8ClampedArray.prototype.at",u);q("Int16Array.prototype.at",u); q("Uint16Array.prototype.at",u);q("Int32Array.prototype.at",u);q("Uint32Array.prototype.at",u);q("Float32Array.prototype.at",u);q("Float64Array.prototype.at",u);q("String.prototype.at",function(a){return a?a:ma});/* Copyright The Closure Library Authors. SPDX-License-Identifier: Apache-2.0 */ var na=function(a){var b=typeof a;return b=="object"&&a!=null||b=="function"},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 pa=function(){this.aa=this.aa;this.ia=this.ia};pa.prototype.aa=!1;pa.prototype.isDisposed=function(){return this.aa};pa.prototype.dispose=function(){this.aa||(this.aa=!0,this.na())};pa.prototype[Symbol.dispose]=function(){this.dispose()};pa.prototype.na=function(){if(this.ia)for(;this.ia.length;)this.ia.shift()()};var ra=function(){};function v(a,b){a.classList.add(b)}function w(a,b){a.classList.remove(b)}function x(a,b){return a.classList?a.classList.contains(b):!1}function y(a,b,c){c=c!==void 0?c:!x(a,b);(c?v:w)(a,b);return c};function z(a){return(navigator.userAgent||"").indexOf(a)>=0}var sa=z("iPhone")||z("iPad")||z("iPod"),ta=z("iPhone")||z("Android")&&z("Mobile");function ua(){if(b===void 0){var a=window.screen;a={width:window.innerWidth,height:window.innerHeight,Nb:a.width,Mb:a.height}}else a=b;var b=a;a=b.width;var c=b.height,d=b.Nb;b=b.Mb;var e=4;if(a<600||d*b<48E4||ta)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:z("Android")?!0:window.matchMedia&&window.matchMedia("(pointer)").matches?window.matchMedia("(pointer:coarse)").matches:!z("Firefox")||z("Mobile")||z("Tablet")?sa||"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",ra,a);window.removeEventListener("testPassive",ra,a)}catch(b){}}return ya}var ya;var za=function(a){this.Pb=a},Aa=new za("B"),Ba=new za("DIV"),Ca=new za("IFRAME"),Da=new za("INPUT"),Ea=new za("LI"),Fa=new za("SCRIPT"),Ga=new za("STYLE"),Ha=new za("SPAN");function A(a){return document.getElementById(a)}function E(a){return a.id||(a.id="gs_id"+Ia++)}function G(a,b){return a.getAttribute(b)||""}function Ja(a){a=(a===void 0?null:a)||document.body;return(a?window.getComputedStyle(a,null):null).direction=="rtl"} function Ka(a,b){var c=[];a=a.elements;for(var d=a.length,e=0;e<d;e++){var f=a[e],g=encodeURIComponent(f.name||""),h=f.type;!g||b&&!b(f)||f.disabled||!(h!="checkbox"&&h!="radio"||f.checked)||c.push(g+"="+encodeURIComponent(f.value||""))}return c.join("&")}function La(a,b){var c=a.elements[b];c||(c=I(Da),c.type="hidden",c.name=b,a.appendChild(c));return c}function Ma(a){a.match(Na)&&(window.location.href=a)}function I(a){return document.createElement(a.Pb)} function Pa(a){var b=A(a);b||(b=I(Ga),b.id=a,document.head.appendChild(b));return b}function Qa(a){if(!A("gs_hats")){var b=I(Fa);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)}}function Ra(a){return"transform:scale(1,"+a+");"}function Sa(a){return"transform:translate(0,"+a+"px);"}var Ia=100,Ta=/\S+/g,Na=/^(?:https?:|[^:/?#]*(?:[/?#]|$))/i,Ua=/^(?:#|\/[a-z0-9_-]*(?:[?].*)?$)/i;function J(){return Date.now()}function Va(a){return a.hasOwnProperty("gs_uid")?a.gs_uid:a.gs_uid=++Wa}var Wa=0;function Xa(a){var b=[];a=t(a);for(var c=a.next();!c.done;c=a.next())c=c.value.charCodeAt(0),b.push(c<32||c>=126?c:String.fromCharCode(32+(c-32+47)%94));return b.join("")};var K=function(){this.A=[];this.ea={};this.va=this.J=0};K.prototype.add=function(a){var b=Va(a);this.ea[b]||(this.A.push(a),this.ea[b]=this.A.length,++this.J)};K.prototype.remove=function(a){a=Va(a);var b=this.ea[a];b&&(this.A[b-1]=null,delete this.ea[a],--this.J*2<this.A.length&&!this.va&&Ya(this))};K.prototype.notify=function(a){var b=this.A;try{++this.va;for(var c=0;c<b.length;c++){var d=b[c];d&&d.apply(null,arguments)}}finally{!--this.va&&this.J*2<b.length&&Ya(this)}};K.prototype.getSize=function(){return this.J}; var Ya=function(a){var b=a.A,c=b.length;a=a.ea;for(var d=0,e=0;e<c;e++){var f=b[e];f&&(b[d]=f,a[Va(f)]=++d)}b.length=d};function L(a,b,c,d,e){Za(a,b,c,d===void 0?!1:d,e===void 0?!1:e,$a)}function N(a,b,c,d){Za(a,b,c,d===void 0?!1:d,!1,ab)}function bb(a,b,c,d,e){function f(g){N(a,b,f,d);c(g)}d=d===void 0?!1:d;L(a,b,f,d,e===void 0?!1:e);return f}function cb(a,b,c,d,e){var f=bb(a,b,function(h){clearTimeout(g);c(h)}),g=setTimeout(function(){N(a,b,f);e&&e()},d)}function O(a){db?db.add(a):a()} var eb=window.requestAnimationFrame?function(a){window.requestAnimationFrame(a)}:function(a){setTimeout(function(){return a(window.performance&&performance.now?performance.now():J())},33)};function fb(a){a.stopPropagation();a.preventDefault()}function gb(a){return(a.ctrlKey?1:0)|(a.altKey?2:0)|(a.metaKey?4:0)|(a.shiftKey?8:0)}function $a(a,b,c,d,e){var f=a.addEventListener;e=e&&xa();f.call(a,b,c,e?{passive:e,capture:d}:d)}function ab(a,b,c,d){a.removeEventListener(b,c,d)} function Za(a,b,c,d,e,f){if(typeof b==="string")f(a,b,c,d,e);else for(var g=b.length,h=0;h<g;h++)f(a,b[h],c,d,e)}function hb(){db.notify();db=null}function ib(){document.readyState=="complete"&&(N(document,"readystatechange",ib),hb())}var db,jb=!!document.attachEvent,kb=document.readyState;if(jb?kb!="complete":kb=="loading")db=new K,jb?L(document,"readystatechange",ib):bb(document,"DOMContentLoaded",hb); function lb(){bb(document,["mousedown","touchstart"],function(){y(document.documentElement,"gs_pfcs",!0);L(document,"keydown",mb,!0)},!0,!0)}function mb(a){a.keyCode==9&&(y(document.documentElement,"gs_pfcs",!1),N(document,"keydown",mb,!0),lb())}lb();function nb(a,b,c,d,e){var f=A(a);ob(f,function(){v(f,"gs_vis");b&&b()},function(){w(f,"gs_vis");c&&c()},d,e)}function pb(a){a=P[a]||[0];return a[a.length-1]} function ob(a,b,c,d,e,f){f=f===void 0?"":f;var g=E(a),h=pb(g);if(!h||h<pb(f)){var k=document.activeElement;f=A(f);qb(rb(f||a),!0);b&&b();sb.push(function(l){P[g].pop();P[g].length||delete P[g];if(!l){(l=e)||k==document.body||(l=k);var n=document.activeElement;if(l)try{l.focus()}catch(p){}else n&&a.contains(n)&&n.blur()}c&&c()});P[g]||(P[g]=[]);P[g].push(sb.length);k&&a.contains(k)||setTimeout(function(){var l=d,n=l&&l.type=="text";if(!l||n&&va)l=a;try{l.focus(),n&&(l.value=l.value)}catch(p){}},0)}} function ub(a){qb((pb(a)||1E6)-1,!1)}function vb(a){a=a===void 0?!1:a;sb.pop()(a)}function qb(a,b){for(b=b===void 0?!1:b;sb.length>a;)vb(b||sb.length>a+1)}function rb(a){for(var b=0;a&&!(b=pb(a.id));)a=a.parentNode;return b}var sb=[],P={};L(document,"click",function(a){var b=sb.length;b&&!gb(a)&&b>rb(a.target)&&vb(!0)});L(document,"keydown",function(a){a.keyCode==27&&!gb(a)&&sb.length&&vb()}); L(document,"focus",function(a){var b=sb.length;if(b)for(var c=rb(a.target);c<b;){var d="",e;for(e in P)if(pb(e)==b){d=e;break}a:{d=(A(d).getAttribute("data-wfc")||"").match(Ta)||[];for(var f=0;f<d.length;f++){var g=A(d[f]);if(g&&g.offsetWidth){d=g;break a}}d=void 0}if(d){fb(a);d.focus();break}else vb(!0),--b}},!0);function wb(a,b,c,d){if((d===void 0?0:d)||!(c in xb)){a=a&&a.getItem(c);if(a)try{var e=JSON.parse(a)}catch(f){}b[c]=e}return b[c]}function yb(a,b,c,d){b[c]=d;try{a&&a.setItem(c,JSON.stringify(d))}catch(e){}}function zb(a,b){return wb(Ab,xb,a,b===void 0?!1:b)}var xb={},Ab,Bb={},Cb;try{Ab=window.localStorage,Cb=window.sessionStorage}catch(a){};function Db(a){return typeof a=="object"?a:null}function Eb(){var a=Fb(),b=Gb();b=Hb(b);a=Ib(a);a=Jb(a)||"#";Kb=Db(b);Lb?window.history.replaceState(b,"",a):window.location.replace(a)}function Mb(a){var b=[],c;for(c in a)b.push(encodeURIComponent(c)+"="+encodeURIComponent(a[c]));return b.sort().join("&")}function Jb(a){return(a=Mb(a))?"#"+a:""} function Nb(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 Ob(){var a=window.location.hash,b=a.indexOf("#")+1;return Nb(b?a.substr(b):"")}function Pb(a){var b=a.indexOf("?")+1;a=b?a.substr(b):"";b=a.indexOf("#");return Nb(b+1?a.substr(0,b):a)}function Qb(a,b){for(var c in b){var d=b[c];d!==void 0?a[c]=d:delete a[c]}} function Ib(a){var b=Ob();Qb(b,a);return b}function Hb(a){var b=Kb||Db(window.history.state),c={},d;for(d in b)c[d]=b[d];Qb(c,a);return c}function Rb(){setTimeout(function(){if(!Sb){var a=window.history.state;Sb=!0;Kb=Db(a);Tb.notify()}Ub=!1},0)}var Tb=new K,Kb,Sb=!1,Ub=!0,Lb="pushState"in window.history,Vb; if(typeof GSP=="undefined")Vb=!1;else{var Wb=.001*J(),Xb=GSP.eventId,Yb=!1,Zb=wb(Cb,Bb,"nh",!1);Zb instanceof Array||(Zb=[]);for(var $b=Zb.length,ac=0,bc=0;bc<$b;bc++){var cc=Zb[bc];if(cc instanceof Array&&cc.length==2){var dc=cc[1]==Xb;Yb=Yb||dc;$b-bc<=10&&+cc[0]>Wb-86400&&!dc&&(Zb[ac++]=cc)}}Zb.length=ac;Zb.push([Wb,Xb]);yb(Cb,Bb,"nh",Zb);Vb=Yb}var ec=Vb;"onpageshow"in window?L(window,"pageshow",Rb):O(Rb); L(window,Lb?"popstate":"hashchange",function(a){document.readyState!="loading"&&(a=a.state,Sb=!0,Kb=Db(a),Tb.notify())});function fc(){gc&&(N(A("gs_alrt_l"),"click",gc),gc=void 0)}function hc(a){var b=b===void 0?"":b;var c=c===void 0?"":c;var d=d===void 0?[]:d;A("gs_alrt_m").innerHTML=a;ic().action=c.match(Na)?c:"";a=A("gs_alrt_l");a.textContent=b;b=A("gs_alrt_h");b.innerHTML="";for(var e in d)c=I(Da),c.type="hidden",c.name=e,c.value=d[e],b.appendChild(c);fc();y(a,"gs_fm_s",!0);jc()} function jc(){var a=ic();v(a,"gs_anm");v(a,"gs_vis");L(document,"click",kc);clearTimeout(lc);lc=setTimeout(kc,4E3);++mc;setTimeout(nc,0)}function kc(){mc||(N(document,"click",kc),clearTimeout(lc),lc=void 0,fc(),w(ic(),"gs_vis"))}function ic(){return A("gs_alrt")}function nc(){mc=0}var lc,mc=0,gc;O(function(){var a=A("gs_alrt_m");a&&(a.innerHTML&&!ec&&jc(),L(window,"pagehide",function(){mc=0;kc();w(ic(),"gs_anm")}))});function Q(a,b,c){b=b===void 0?oc:b;c=c===void 0?!1:c;b.length=0;a.normalize&&(a=a.normalize("NFKD").replace(pc,""));return a.toLowerCase().replace(qc,function(d,e){b.length||e&&b.push(0);b.push(d.length);return e&&(!c||e+d.length<a.length)?" ":""})}function rc(a,b,c,d,e){var f=c.indexOf(a),g="",h="";f>0&&(f=c.indexOf(" "+a));!(a&&f+1)||e!==void 0&&e&&f||(f+=c[f]==" ",g=sc(c.substr(0,f),b,d),h=sc(c.substr(0,f+a.length),b,d).substr(g.length));return[g,h,b.substr(g.length+h.length)]} function sc(a,b,c){var d=a.length;for(a=a.split(" ").length;a--;)d+=(c[a]||0)-1;return b.substr(0,d+1)}var oc=[],pc=/[\u0300-\u036f]+/g,qc=RegExp("[\\s\x00-/:-@[-`{-\u00bf\u2000-\u206f\u2e00-\u2e42\u3000-\u303f\uff00-\uff0f\uff1a-\uff20\uff3b-\uff40\uff5b-\uff65]+","g"),tc=/^[\d\s]*[\u0590-\u08ff\ufb1d-\ufdff\ufe70-\ufefc]/;var uc=function(a,b,c,d,e,f,g){e=e===void 0?[]:e;this.C=a;this.source=b;this.La=c===void 0?"":c;this.B=d===void 0?"":d;this.X=e;this.Jb=f===void 0?"":f;this.Pa=g===void 0?"":g};var vc=function(){this.Za=100;this.J=0;this.W=this.O=null;this.ga=Object.create(null)};vc.prototype.get=function(a){if(a=this.ga[a])return wc(this,a),a.value};vc.prototype.set=function(a,b){var c=this.ga[a];c?(c.value=b,wc(this,c)):(this.J>=this.Za&&(delete this.ga[this.W.key],this.W=this.W.V,this.W.ha=null,--this.J),c=this.ga[a]={key:a,value:b,ha:this.O,V:null},this.O?this.O.V=c:this.W=c,this.O=c,++this.J)}; var wc=function(a,b){var c=b.ha,d=b.V;d&&((d.ha=c)?c.V=d:a.W=d,a.O.V=b,b.ha=a.O,b.V=null,a.O=b)};function xc(a,b,c){var d=new XMLHttpRequest;d.onreadystatechange=function(){if(d.readyState==4){var e=d.status,f=d.responseText,g=d.getResponseHeader("Content-Type"),h=d.responseURL,k=window.location,l=k.protocol;k="//"+k.host+"/";h&&h.indexOf(l+k)&&h.indexOf("https:"+k)&&(e=0,g=f="");c(e,f,g||"")}};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 yc(a){a&&(a.onreadystatechange=function(){},a.abort())};var zc=function(a,b){this.Kb=a;this.Sa=b;this.da=this.ca=0;this.ya=this.za="";this.Aa=void 0;this.Ha=new vc},Cc=function(a,b,c){var d=b?a.Ha.get(Ac(a,b,c)):[];d?a.Sa(b,c,d):(a.za=b,a.ya=c,a.ca>=10||a.da>=3||(a.ca?a.Aa!==void 0||(a.Aa=setTimeout(function(){Bc(a)},100<<Math.max(a.ca-4,0))):Bc(a)))},Bc=function(a){a.Aa=void 0;var b=a.za,c=a.ya;a.za=a.ya="";if(b){++a.ca;var d=new XMLHttpRequest;d.onreadystatechange=function(){if(d&&d.readyState==4){var e=d.status;e==200&&a.ta(b,c,d.responseText);d=null; Dc(a,e)}};d.ontimeout=function(){d&&(d=null,Dc(a))};d.open("GET",Ac(a,b,c),!0);d.timeout=3E4;d.send()}},Dc=function(a,b){b=b===void 0?0:b;--a.ca;var c=3*(b==403?1:0)+(b>499&&b<600?1:0);a.da+=c;c&&setTimeout(function(){a.da-=c},3E4)}; zc.prototype.ta=function(a,b,c){try{var d=JSON.parse(c)}catch(r){}if(d&&typeof d=="object"&&(c=d.l,c instanceof Array)){d=[];for(var e=c.length,f=0;f<e;f++){var g=d,h=g.push,k=""+c[f],l=k.indexOf("|");var n=k.substr(0,l);var p=Q(n);k=k.substr(l+1);l=[];n=new uc(k,0,"",Q(k,l),l,n,p);h.call(g,n)}this.Ha.set(Ac(this,a,b),d);this.Sa(a,b,d)}};var Ac=function(a,b,c){return"/scholar_complete?"+encodeURIComponent(a.Kb)+"="+encodeURIComponent(b)+"&"+c};var Fc=function(a){this.Ta="H:"+a;this.G=[];this.Ib=.001*J();a=zb(this.Ta);a instanceof Array||(a=[]);for(var b=this.G,c={"":1},d=0;d<a.length&&b.length<50;d++){var e=new Ec(a[d]);c.hasOwnProperty(e.B)||(c[e.B]=1,b.push(e))}}; Fc.prototype.add=function(a,b,c){c=(c===void 0?0:c)||.001*J();b=(b===void 0?0:b)||c;a=new Ec([0,0,a]);if(a.B){for(var d=this.G,e=d.length,f=0;f<e&&d[f].B!=a.B;)++f;f<e||d.push(a);e=d[f];if(!(b-e.F<2)){e.F=b;e.C=a.C;e.X=a.X;for(e.H=Math.min(e.H+Gc(b),10*Gc(c));f&&Hc(d[f],d[f-1]);)a=d[f],d[f]=d[f-1],d[--f]=a;d.splice(50,1);Ic(this)}}};Fc.prototype.remove=function(a){for(var b=this.G,c=b.length,d=0;d<c;d++)if(b[d].C==a){b.splice(d,1);Ic(this);break}}; var Ic=function(a){for(var b=[],c=a.G,d=c.length,e=0;e<d;e++)b.push(c[e].encode());yb(Ab,xb,a.Ta,b)};function Gc(a){return Math.exp(.0231*(Math.max(a-1422777600,0)/86400|0))}var Ec=function(a){a instanceof Array||(a=Jc);this.F=+a[0]||0;this.H=+a[1]||0;this.C=""+a[2];this.X=[];this.B=Q(this.C,this.X,!0)};Ec.prototype.encode=function(){return[this.F,this.H,this.C]}; var Hc=function(a,b){var c=a.H-b.H;return c>0||!c&&a.F>b.F},Jc=[0,0,""],Kc=function(a,b,c){this.F=a;this.H=b;this.C=c},Lc=function(a,b){var c=a.H-b.H;return c>0||!c&&a.F>b.F};var Mc=function(a){this.D=a};function Nc(a){var b=I(Aa);b.textContent=a;return b};var Oc=function(a,b,c){this.type=a;this.currentTarget=this.target=b;this.j=c===void 0?null:c;this.Ba=!1};Oc.prototype.stopPropagation=function(){this.j&&this.j.stopPropagation();this.Ba=!0};var S=function(a){a.j&&fb(a.j);a.Ba=!0};var T=function(a,b){this.Da=a;this.Hb=b},Pc=function(a,b,c){this.Da=a;this.types=b;this.listener=c};function Qc(a,b){U(a,"click",b)}function Rc(a,b){var c=b.length;if(c){var d=Va(a),e=Sc[d];if(!e){e=Sc[d]=[];d=Tc(b[0].Da);for(var f in d){var g=Uc[f];g||(g=Uc[f]=Object.create(null));for(var h in d[f]){var k=g[h];k||(k=g[h]=[]);k.push(a)}}Vc(a,e,b[0],Wc);for(f=1;f<c;f++)Vc(a,e,b[f],Xc)}}}function V(a,b,c){Yc(new Oc(a,b,c===void 0?null:c))} function U(a,b,c){var d=Zc;typeof b==="string"&&($c[0]=b,b=$c);var e=b.length;a=Tc(a);for(var f in a)for(var g in a[f])for(var h=0;h<e;h++)d(f,g,b[h],c)}function Tc(a){typeof a==="string"&&(ad[0]=a,a=ad);for(var b=a.length,c=Object.create(null),d=0;d<b;d++){var e=a[d],f=e.charAt(0),g=e.substr(1);if(f!="#"&&f!="."||!g)throw Error("bad selector: "+e);(e=c[f])||(e=c[f]=Object.create(null));e[g]=!0}return c} function Zc(a,b,c,d){var e=bd[c];e||(c!="touchstart"&&c!="mouseover"&&c!="mouseout"&&L(document,c,cd,c=="focus"||c=="blur"),e=bd[c]=Object.create(null));(c=e[a])||(c=e[a]=Object.create(null));(a=c[b])||(a=c[b]=new K);a.add(d)}function cd(a){var b=a.target;b&&b.nodeType==3&&(b=b.parentNode);Yc(new Oc(a.type,b,a))} function Yc(a){for(var b=a.target;b&&b!=document&&!b.disabled&&!x(b,"gs_dis");){a.currentTarget=b;var c=b.id;if(c&&!dd("#",c,a))break;c=b.classList||[];for(var d=c.length,e=0;e<d;e++)if(!dd(".",c[e],a))return;b=b.parentNode}}function dd(a,b,c){var d=bd[c.type];(b=(a=d&&d[a])&&a[b])&&b.notify(c);return!c.Ba}function Vc(a,b,c,d){var e=c.Da;c=c.Hb;for(var f in c){var g=oa(d,a,c[f]);U(e,f,g);b.push(new Pc(e,f,g))}}function Wc(a,b,c){var d=c.currentTarget;a=ed(a,d)||a;a=fd(a,d);b.call(a,c)} function Xc(a,b,c){a:{for(var d=c.currentTarget;d&&d!=document;){var e=ed(a,d);if(e){a=fd(e,d);break a}d=d.parentNode}a=void 0}a&&b.call(a,c)}function fd(a,b){var c=gd(b),d=hd[c];d||(d=hd[c]=[]);for(var e=d.length,f=0;f<e;f++){var g=d[f];if(g instanceof a)return g}b=new a(b);d.push(b);a=Va(a);(d=id[a])||(d=id[a]=[]);d.push(c);return b}function ed(a,b){var c,d=b.id;d&&(c=jd(a,c,"#",d));b=b.classList||[];d=b.length;for(var e=0;e<d;e++)c=jd(a,c,".",b[e]);return c} function jd(a,b,c,d){c=(d=(c=Uc[c])&&c[d])?d.length:0;for(var e=0;e<c;e++){var f=d[e];!(f===a||f.prototype instanceof a)||b&&!(f===b||f.prototype instanceof b)||(b=f)}return b}function gd(a){var b=a.getAttribute("data-duid");b||a.setAttribute("data-duid",b=""+kd++);return b}var bd=Object.create(null),ad=[""],$c=[""],Uc=Object.create(null),Sc=Object.create(null),id=Object.create(null),hd=Object.create(null),kd=100;window.gs_evt_dsp=cd;function ld(a){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 x(d,c)&&d.offsetWidth>0};else throw Error("bad selector: "+a);}return a}function md(a,b){return a&&((b===void 0?0:b)?a.lastElementChild:a.firstElementChild)}function nd(a,b){return a&&((b===void 0?0:b)?a.previousElementSibling:a.nextElementSibling)} function od(a){var b=b===void 0?!1:b;var c=[];for(a=nd(a,b);a;)c.push(a),a=nd(a,b);return c}function pd(a,b,c,d){d=d===void 0?!1:d;return qd(a,b,ld(c),d,!1)}function qd(a,b,c,d,e){for(var f;b&&a;){if(c(b)){if(e)return b}else for(f=md(b,d);f;f=nd(f,d))if(e=qd(f,f,c,d,!0))return e;for(e=!0;;){if(b==a)return null;f=b.parentNode;if(b=nd(b,d))break;b=f}}return null};var W=function(a){var b=this;this.g=a.querySelector(".gs_in_ac");this.D=a.querySelector(".gs_md_ac");this.ba=this.N=!1;this.G=new Fc(this.g.name);this.eb=new zc(this.g.name,function(c,d,e){d==b.ja&&rd(b,c)&&(c.length>=b.ka.length||!rd(b,b.ka))&&(b.ka=c,b.Ca=e,sd(b))});this.Qa=0;this.Lb=new Mc(this.D);this.Ma=[];this.Oa=[];this.ka="";this.Ca=[];this.ja="";this.I=this.g.value;td(this);L(this.g.form,["change","gs-change"],function(){td(b)})},ud=function(a){return a.D.style.display=="block"},wd=function(a){if(ud(a)){var b= vd(a);b&&w(b,"gs_sel");a.N=a.ba=!1;a.D.style.display="none"}},xd=function(a,b,c){c=c===void 0?[]:c;a.Ma=c;c=a.G;var d=Q(b);var e=" "+d,f=d.length,g=d.split(" ").length,h=.1/Gc(c.Ib),k=c.G,l=k.length;c=[];for(var n=0;n<l;n++){var p=k[n],r=p.B,F=r.indexOf(d);if(!(F<0)){var H=10;F&&(F=r.lastIndexOf(e),H=+(F>=0));r=H*(2*(g-1)+(1+((r[F+f]||" ")==" ")))/g;F=p.H*h;if(r=d?r*F:1){p=new Kc(p.F,r,p.C);for(r=0;r<c.length&&!Lc(p,c[r]);)++r;r<3&&c.splice(r,0,p);c.splice(3,1)}}}d=[];for(e=0;e<c.length;e++)f=d,g= f.push,h=c[e].C,k=[],h=new uc(h,2,"",Q(h,k),k),g.call(f,h);a.Oa=d;Cc(a.eb,b,a.ja);sd(a)},rd=function(a,b){return Q(a.g.value).indexOf(Q(b))==0},yd=function(a){var b=a.g.value;a.I=b;td(a);var c=[],d=a.g.getAttribute("data-iq")||"",e=a.g.getAttribute("data-is");if(d==b&&e){d=document.querySelectorAll(e);e=d.length;for(var f=0;f<e&&f<10;f++){var g=d[f];c.push(new uc(g.textContent,1,g.innerHTML))}}xd(a,b,c)},sd=function(a){a.Qa++||eb(function(){a.Qa=0;var b=a.Ma,c=a.Oa;var d=a.Ca;if(b.length)b=b.slice(0, 10);else{b=c.slice(0,3);var e=d.length&&d[0].Pa;c=e?3:10;var f=b.length;if(!f||!e){for(e=Object.create(null);f--;)e[b[f].B]=!0;for(f=0;f<d.length&&b.length<c;f++){var g=d[f];e[g.B]||b.push(g)}}}d=b;var h=a.g.value,k=a.Lb.D.firstElementChild;g=k.querySelector(".gs_md_acs");b=k.querySelector("ul");c=(c=b.querySelector(".gs_sel"))?c.getAttribute("data-q"):"";f=d.length;var l=[];e=Q(h,l);b.innerHTML="";if(f){var n=d[0].Pa,p=n&&"gs_md_acp";typeof p==="string"||(p=p.join(" "));k.className!=p&&(k.className= p);h=rc(n,h,e,l,!0);g.textContent=h[0]+h[1];h=h[2];e=Q(h,l);for(g=0;g<f;g++){n=d[g];k=I(Ea);l=(n.Jb||"")+n.C;k.className="gs_md_ac_li";k.setAttribute("data-q",l);k.setAttribute("onclick","");if(n.La)k.innerHTML=n.La;else{h=rc(e,n.C,n.B,n.X);if(!h[1]){for(h=0;n.B[h]==e[h];)++h;h=rc(e.substr(0,h),n.C,n.B,n.X)}h[0]&&k.appendChild(Nc(h[0]));k.appendChild(document.createTextNode(h[1]));h[2]&&k.appendChild(Nc(h[2]));n.source==2&&(v(k,"gs_md_ac_lh"),h=I(Ha),h.className="gs_ico gs_ico_X gs_ico_Xt",k.appendChild(h))}l== c&&v(k,"gs_sel");b.appendChild(k)}}d=d.length&&document.activeElement==a.g;d!=ud(a)&&(d?ud(a)||(a.N=a.ba=!1,a.D.style.display="block"):wd(a))})},vd=function(a){return a.D.querySelector(".gs_sel")},Ad=function(a,b){var c=a.g.getAttribute("data-oq")||"oq",d=a.g.form,e=d.elements[c];e||(e=I(Da),e.name=c,e.type="hidden",d.appendChild(e));e.value=a.I;a.g.value=zd(b)},Bd=function(a){V("gs-change",a.g)};m=W.prototype; m.wb=function(){var a=this.g.value;this.I!=a&&(this.I=a,xd(this,a),Cd(this.g,Q(a).match(tc)?"rtl":"ltr"))}; m.ra=function(a){if(!this.ba){var b=a.j,c=b.keyCode;b=gb(b);var d;c!=13||b?c!=27||b?c!=38&&c!=40||b?(c==46&&!b||c==88&&(b==1||b==4))&&(d=vd(this))&&x(d,"gs_md_ac_lh")&&(this.g.selectionStart||0)>=this.g.value.length&&(this.G.remove(zd(d)),xd(this,this.g.value=this.I),S(a),Bd(this)):(ud(this)?((d=vd(this))&&w(d,"gs_sel"),(d=pd(this.D,d||this.D,".gs_md_ac_li",c==38))?(v(d,"gs_sel"),this.g.value=zd(d)):this.g.value=this.I,Bd(this)):yd(this),S(a)):ud(this)&&(this.g.value=this.I,wd(this),S(a),Bd(this)): ((d=vd(this))&&Ad(this,d),wd(this),Bd(this))}};m.sa=function(){var a=this;document.activeElement==this.g?yd(this):(clearTimeout(this.wa),this.wa=setTimeout(function(){a.wa=void 0},500))};m.vb=function(){this.wa!==void 0&&yd(this)};m.jb=function(){var a=this;setTimeout(function(){wd(a)},this.N?300:0)};m.ib=function(a){this.N&&S(a)};m.tb=function(){this.ba=!0};m.sb=function(){this.ba=!1};var td=function(a){var b=a.g,c=Ka(b.form,function(d){return d!=b});c!=a.ja&&(a.ja=c,a.ka="",a.Ca=[])};m=W.prototype; m.nb=function(a){this.N=!0;S(a)};m.ob=function(){this.N=!0};m.pa=function(){this.N=!1};m.kb=function(a){var b=a.currentTarget;if(x(a.target,"gs_ico_X"))this.G.remove(zd(b)),xd(this,this.g.value=this.I);else{Ad(this,b);wd(this);this.g.blur();var c=this.g.form;setTimeout(function(){c.submit()},0)}Bd(this)};m.mb=function(a){a=a.currentTarget;if(!x(a,"gs_sel")){var b=vd(this);b&&w(b,"gs_sel");v(a,"gs_sel")}};m.lb=function(a){w(a.currentTarget,"gs_sel")}; var Dd=[new T(".gs_in_acw",{}),new T(".gs_in_ac",{input:W.prototype.wb,keydown:W.prototype.ra,mousedown:W.prototype.sa,focus:W.prototype.vb,blur:W.prototype.jb,beforedeactivate:W.prototype.ib,compositionstart:W.prototype.tb,compositionend:W.prototype.sb}),new T(".gs_md_ac",{mousedown:W.prototype.nb,touchstart:W.prototype.ob,mouseup:W.prototype.pa,touchend:W.prototype.pa,touchcancel:W.prototype.pa}),new T(".gs_md_ac_li",{click:W.prototype.kb,mouseover:W.prototype.mb,mouseout:W.prototype.lb})]; function zd(a){return a.getAttribute("data-q")||""}function Cd(a,b){a.getAttribute("dir")!=b&&(a.setAttribute("dir",b),a=a.parentNode,a.setAttribute("dir",b),a.querySelector(".gs_md_ac").setAttribute("dir",b))}function Ed(){for(var a=document.querySelectorAll(".gs_in_ac"),b=a.length,c=0;c<b;c++){var d=a[c],e=d.getAttribute("data-iq")||"";d.value=e;Cd(d,Q(e).match(tc)?"rtl":"ltr");V("gs-change",d);e=d.getAttribute("data-oq")||"oq";(e=d.form.elements[e])&&d.form.removeChild(e)}};function Fd(a){return(x(a,"gs_sel")?1:0)+2*(x(a,"gs_par")?1:0)}function Gd(a,b,c){c=c===void 0?!1:c;y(a,"gs_sel",b==1);y(a,"gs_par",b==2);a.setAttribute("aria-checked",Hd[b]);c||a.setAttribute("data-s",""+b)}var Hd=["false","true","mixed"];var Id=function(a){var b=window,c=this;this.A=new K;this.Ra=0;this.Ga=[b,a,function(){c.Ra++||eb(d)},!1];var d=function(){c.Ra=0;c.A.notify()}};Id.prototype.addListener=function(a){this.A.getSize()||L.apply(null,this.Ga);this.A.add(a)};Id.prototype.removeListener=function(a){this.A.remove(a);this.A.getSize()||N.apply(null,this.Ga)};var Jd=new Id("scroll"),Kd=new Id("resize");function Ld(a){Md.add(a);a()}var Md=new K;function Nd(){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(x(a,c)!=d){var e=!0;y(a,c,d)}}e&&Md.notify()}y(document.documentElement,"gs_el_ios",sa);Nd();Kd.addListener(Nd);L(window,["pageshow","load"],Nd);var Od=function(a,b,c,d,e,f){this.i=a;this.Z=b;this.T=c;this.Y=d;this.xa=e;this.S=f;this.v=null},Pd=function(a,b){a.v=b},Qd=function(){this.o=[];this.m=-1};Qd.prototype.push=function(a){++this.m;this.m==this.o.length?this.o.push(a):(this.o[this.m]=a,this.o.splice(this.m+1,this.o.length-this.m))};Qd.prototype.pop=function(){--this.m};var Rd=function(a){for(var b=X;b.m>a;)ub(b.top().i)},Sd=function(a,b){for(var c=0;c<a.o.length&&!(a.o[c].S>=b);++c);return c};Qd.prototype.top=function(){return this.at(this.m)}; Qd.prototype.at=function(a){return this.o[a]||null};function Td(a,b){var c=a==X.m;X.m=a;b&&!Kb&&!Db(window.history.state)&&Eb();c||Ud()}function Vd(a,b,c,d){b=b===void 0?"":b;c=c===void 0?"":c;d=d===void 0?"":d;var e=X.top();e&&a==e.i&&b==e.Z&&c==e.T||(X.push(new Od(a,b,c,d,e&&e.i==a?e.xa+1:1,J())),b=Fb(),a=Gb(),a=Hb(a),b=Ib(b),b=Jb(b)||"#",Kb=Db(a),Lb?window.history.pushState(a,"",b):window.location.assign(b),Ud())} function Wd(a){a=Xd(A(a));return!!a&&x(a,"gs_md_wmw")&&x(document.documentElement,"gs_el_ph")}function Yd(){var a=A("gs_top"),b=document.documentElement;a=a.scrollHeight>b.clientHeight;for(var c=!1,d=0;d<=X.m&&!c;++d)c=!Wd(X.at(d).i);y(A("gs_md_s"),"gs_vis",c);c=X.m;c>=1&&(c=X.at(c-1).i,d=Wd(c),y(A(c),"gs_md_ins_vis",!d));b.style.overflowY=a&&!Wd(X.top().i)?"scroll":""} function Ud(){function a(){var M=c.clientHeight,C=+H.getAttribute("data-h");C||(g.style.maxHeight="none",C=f.offsetHeight);var D=f.querySelector(".gs_md_ftr");C=Math.max((M-C)/2,10);M=Math.max(M-48-(D?D.offsetHeight:0)-2*C,10);D=Wd(e);f.style.top=D?"auto":C+"px";g.style.maxHeight=D?"none":M+"px";Zd(g)}var b=X.top(),c=document.documentElement,d=A("gs_top"),e=b.i,f=A(e),g=A(e+"-bdy"),h=1200+X.m,k=A(f.getAttribute("data-cid")||f.id+"-bdy")||f,l=b.Y,n=b.T,p=b.Z,r=A("gs_md_s"),F=A(e).getAttribute("data-shd")|| "",H=Xd(f),B=window.pageYOffset,R=p&&p[0]!="#"&&!l,qa=X.m>0?X.at(X.m-1).i:"",Oa=!!P[e];R?(Oa?y(k,"gs_md_ldg",!0):$d(f,k,'<div class="gs_md_prg">'+A("gs_md_ldg").innerHTML+"</div>",b),V("gs-md-ldin",k)):(l&&$d(f,k,l,b),V("gs-md-lded",k));Oa&&e==qa||ob(f,function(){(H||f).style.zIndex=h;ae(F);Oa||(H&&v(H,"gs_vis"),v(f,"gs_vis"),y(f,"gs_abt",Ub),y(r,"gs_abt",Ub),be(e),X.m==0?Ld(Yd):Yd(),H&&g&&(a(),Kd.addListener(a)));X.m==0&&(v(d,"gs_nscl"),d.style.top=-B+"px")},function(){Oa||(Kd.removeListener(a), H&&w(H,"gs_vis"),w(f,"gs_vis"),w(f,"gs_abt"));for(var M=X.top()?X.top().xa:0;X.top()&&X.top().i==e;){var C=X.top();yc(C.v);C.v=null;X.pop()}if(X.top()){if(C=X.top().i,ae(A(C).getAttribute("data-shd")||""),w(A(C),"gs_md_ins_vis"),Oa){a:{C=X;for(var D=C.m;D>=0;D--)if(C.o[D].i==e){C=D;break a}C=-1}D=X.at(C);(H||f).style.zIndex=1200+C;$d(f,k,D.Y,D)}}else w(r,"gs_vis"),w(r,"gs_abt");X.m==-1?(Md.remove(Yd),c.style.overflowY="",w(d,"gs_nscl"),d.style.top="auto",window.scrollTo(0,B)):Yd();ce||(M>0?window.history.go(-M): Eb())},de(f),ee(f),qa);R&&(yc(b.v),b.v=null,Pd(b,xc(p,n,function(M,C,D){b.v=null;D=(M=M==200&&D.match(/^text\/html(;.*)?$/i))?C:fe();$d(f,k,D,b);if(M)for(M=e,D=0;D<X.o.length;++D){var tb=X.at(D);M==tb.i&&p==tb.Z&&n==tb.T&&(tb.Y=C,D==X.m&&Eb())}V("gs-md-lded",k)})))}function Xd(a){a=a.parentNode;return x(a,"gs_md_wnw")?a:null}function de(a){return(a=a.getAttribute("data-ifc"))?A(a):null}function ee(a){return(a=a.getAttribute("data-cfc"))?A(a):null} function $d(a,b,c,d){y(b,"gs_md_ldg",!1);for(var e=b.querySelectorAll("[data-duid]"),f=e.length,g={},h=0;h<f;h++){for(var k=gd(e[h]),l=hd[k],n=l?l.length:0,p=0;p<n;p++){var r=l[p],F=Va(r.constructor),H=g[F];H||(H=g[F]={});H[k]=!0;r&&typeof r.dispose=="function"&&r.dispose()}delete hd[k]}for(var B in g){B=+B;e=g[B];h=(f=id[B])?f.length:0;for(l=k=0;l<h;l++)n=f[l],n in e||(f[k++]=n);k?f.length=k:delete id[B]}b.innerHTML=c;d.Y=c;be(a.id);yc(d.v);d.v=null} function be(a){if(a=document.querySelector("#"+a+">.gs_md_bdy"))a.scrollTop=a.scrollLeft=0,Zd(a)}function Zd(a){var b=a.style,c="padding"+(Ja(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 ge(){return A("gs_md_err").innerHTML}function fe(){return'<div class="gs_md_prg"><div class="gs_alrt">'+ge()+"</div></div>"} function Fb(){var a=X.top();return{d:a&&a.i||void 0,u:a&&a.Z||void 0,p:a&&a.T?"1":void 0,t:a&&a.S||void 0}}function Gb(){var a=X.top();return{n:a&&a.xa||0,p:a&&a.T||"",h:a&&a.Y||""}}function ae(a){if(he!=a){var b=A("gs_md_s");he&&w(b,he);(he=a)&&v(b,a)}}var ce=0,he="",X=new Qd; Tb.add(function(){var a=Ob(),b=a.d||"",c=b?A(b):null;++ce;if(c){var d=a.u||"";c=+a.p>0;var e=+a.t||0,f=Kb||Db(window.history.state)||{};a=+f.n||0;var g=""+(f.p||"");f=""+(f.h||"");d.match(Ua)||(d="");for(var h=Sd(X,e),k=h;k<X.o.length;++k){var l=X.at(k);if(e<l.S&&l.i!=b)break}for(l=h-1;l>=0;--l){var n=X.at(l);if(e>n.S&&n.i!=b)break}Rd(k-1);for(k=0;k<=l;++k)n=X.at(k).i,P[n]||Td(l,!1);if(l=h<X.o.length)l=X.at(h),l=b==l.i&&d==l.Z&&c==!!l.T&&e==l.S;l?Td(h,!0):(a==0&&(Rd(-1),X=new Qd,e=J()),c!=!!g&&(d= g="",f=fe()),b=new Od(b,d,g,f,a,e),c=X,e=b.S,a=Sd(c,e),e=a<c.o.length&&e==c.at(a).S,c.o.splice(a,e?1:0,b),X.m=a,Eb(),Ud())}else Rd(-1);--ce});var ie=function(a){pa.call(this);this.fa=a;this.ua=Object.create(null);this.v=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.ua[c]=d.innerHTML)}};la(ie,pa);ie.prototype.na=function(){yc(this.v);this.fa=this.v=null;pa.prototype.na.call(this)};ie.prototype.Cb=function(a){var b=this;S(a);if((a=this.fa)&&!this.v){var c="json=&"+Ka(a);je(this,!0);this.v=xc(a.action,c,function(d,e){b.ta(d,e)})}}; ie.prototype.ta=function(a,b){this.v=null;je(this,!1);var c=this.fa,d=c.getAttribute("data-alrt");if(d=d?A(d):null)d.innerHTML="";try{var e=a==200&&JSON.parse(b)}catch(p){}a=!1;e&&typeof e=="object"||(a=ge(),d?d.innerHTML=a:hc(a),e={},a=!0);c.setAttribute("data-p",""+(e.P||""));V("gs-ajax-form-done",c);if(b=e.L)Ma(""+b);else{if(b=e.M)d?d.innerHTML=b:hc(b),a=!0;b=1E6;if(d&&d.innerHTML){var f=d;b=d.getBoundingClientRect().top}d=c.elements;e=e.E;typeof e=="object"||(e=Object.create(null));for(var g in this.ua){var h= d[g],k=void 0,l=""+(e[g]||""),n=h.parentNode.querySelector(".gs_in_txts");y(h.parentNode,"gs_in_txte",!!l);n&&(n.innerHTML=l||this.ua[g]||"");l&&(k=h.getBoundingClientRect().top)<b&&(f=h,b=k);a=a||!!l}(c=c.getAttribute("data-d"))&&!a&&ub(c);f&&f.scrollIntoView&&(b<0||b+20>window.innerHeight)&&f.scrollIntoView()}};var je=function(a,b){a=a.fa;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;y(d,"gs_bsp",b)}}; Rc(ie,[new T(".gs_ajax_frm",{submit:ie.prototype.Cb})]);var ke=[[1,0,1],[2,0,1]];U(".gs_cb_gen","click",function(a){var b=a.currentTarget,c=Fd(b),d=+b.getAttribute("data-s")==2;Gd(b,ke[+d][c],!0);V("gs-change",b,a.j)});U(".gs_cb_gen",["keydown","keyup"],function(a){var b=a.currentTarget,c=a.j.keyCode;b.tagName!="BUTTON"||c!=13&&c!=32||(S(a),a.type=="keydown"&&b.click())});U([".gs_cb_gen",".gs_md_li"],"keydown",function(a){var b=a.currentTarget,c=b.tagName,d=a.j.keyCode;c!="BUTTON"&&(d==32||d==13&&c!="A")&&(S(a),b.click())});var le=["click","contextmenu","mouseup"].concat(navigator.sendBeacon?[]:["mousedown","touchstart"]),me="",ne=null;function oe(){ne=null}function pe(a){navigator.sendBeacon?navigator.sendBeacon(a):ne&&a==ne.src||((ne=new Image).src=a,setTimeout(oe,1E3))}function qe(){var a=Pb(document.location.href).hl||"";a="/scholar_bfnav?url="+encodeURIComponent(document.location.href)+"&hl="+encodeURIComponent(a)+"&ei="+GSP.eventId;pe(a)}O(function(){me=ec?"&bn=1":"";ec&&qe()}); L(window,"pageshow",function(a){a.persisted&&(me="&bn=1",qe())}); L(document,le,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||"")+ me,pe(b))}},!1,!0);U(".gs_fm_s","click",function(a){a=a.currentTarget.getAttribute("data-fm")||"";(a=A(a))&&a.submit()});var re=function(a){this.i=E(a.querySelector(".gs_md_d"));this.ma=E(a.querySelector(".gs_md_tb"))};m=re.prototype;m.oa=function(a){var b=A(this.i);return a!==void 0?pd(b,b,".gs_md_li",a):null};m.open=function(a){a=this.oa(a);if(x(A(this.ma),"gs_sel"))try{a&&a.focus()}catch(c){}else{var b=A(this.ma);nb(this.i,function(){v(b,"gs_sel")},function(){w(b,"gs_sel")},a,b)}};m.close=function(){ub(this.i)};m.pb=function(a){S(a);x(A(this.ma),"gs_sel")?this.close():this.open(a.j.type=="keydown"?!1:void 0)}; m.Ja=function(a){var b=a.j.keyCode;if(b==38||b==40)S(a),this.open(b==38)};m.ub=function(a){a.target.id==this.i&&this.Ja(a)};Rc(re,[new T(".gs_md_rmb",{}),new T(".gs_md_tb",{"gs-press":re.prototype.pb,keydown:re.prototype.Ja}),new T(".gs_md_d",{keydown:re.prototype.ub})]);var se=function(a){re.call(this,a);this.Eb=E(a.querySelector(".gs_md_in"));this.Gb=E(a.querySelector(".gs_md_tb .gs_lbl"))};la(se,re);se.prototype.oa=function(){return A(this.i).querySelector(".gs_md_li[aria-selected]")};se.prototype.xb=function(a){te(this,a)};se.prototype.qa=function(a){var b=a.j.keyCode;b!=13&&b!=32||te(this,a)}; var te=function(a,b){var c=b.currentTarget,d=A(a.Eb),e=a.oa();c!=e&&(d.value=c.getAttribute("data-v"),A(a.Gb).innerHTML=c.innerHTML,e&&ue(e,!1),ue(c,!0));S(b);a.close();V("gs-change",d,b.j)},ue=function(a,b){y(a,"gs_sel",b);b?a.setAttribute("aria-selected","true"):a.removeAttribute("aria-selected")};Rc(se,[new T(".gs_md_ris",{}),new T(".gs_md_li",{click:se.prototype.xb,keydown:se.prototype.qa})]);U("#gs_lp","click",function(a){S(a);Vd("gs_lp_d")});U("#gs_lp_cur","click",function(a){S(a);ub("gs_lp_d")});var ve=function(a){this.Ua=E(a)};ve.prototype.qa=function(a){var b=a.currentTarget,c=a.j.keyCode;if(c==38||c==40){var d=A(this.Ua);d=pd(d,b,".gs_md_li",c==38)||pd(d,d,".gs_md_li",c==38)}else if(c==37||c==39)a:{c=c==37!=Ja(b.parentNode);d=b.parentNode;var e=d.children,f=e.length;if(d.id!=this.Ua){for(;e[--f]!=b;);d=nd(d,c)||md(d.parentNode,c);e=d.children;if(f=Math.min(f+1,e.length))if(d=e[f-1],x(d,"gs_md_li")&&d.offsetLeft!=b.offsetLeft)break a}d=void 0}d&&(S(a),d.focus())}; Rc(ve,[new T(".gs_md_ulr",{}),new T(".gs_md_li",{keydown:ve.prototype.qa})]);U("#gs_hdr_mnu","click",function(a){S(a);Vd("gs_hdr_drw")});U("#gs_hdr_drw_mnu","click",function(a){S(a);ub("gs_hdr_drw")});U("#gs_hdr_act_i","click",function(a){S(a);ua()==1?Ma(document.querySelector("#gs_hdr_drw_bot>a").href):nb("gs_hdr_act_d")});U("#gs_hdr_drw","keydown",function(a){var b=a.j.keyCode;if(b==38||b==40){var c=a.currentTarget;if(b=pd(c,c,".gs_md_li",b==38))S(a),b.focus()}}); U("#gs_hdr_tsi",["focus","blur"],function(a){function b(){var g=d.getBoundingClientRect().top-10;Math.abs(g)>10&&window.scrollBy(0,g);clearTimeout(e);c()}function c(){N(window,f,b)}var d=a.target;a=a.type=="focus";y(A("gs_hdr"),"gs_hdr_ifc",a);if(a&&va&&!(window.innerHeight>749)){var e=setTimeout(c,1E3),f=["scroll","resize"];L(window,f,b)}});U("#gs_hdr_tsi",["input","gs-change"],function(a){y(A("gs_hdr_frm"),"gs_hdr_tsc",!!a.currentTarget.value)}); U("#gs_hdr_tsc","mousedown",function(a){S(a);var b=A("gs_hdr_tsi");b.value="";b.focus();V("input",b,a.j)});U("#gs_hdr_sre","click",function(a){S(a);var b=A("gs_hdr");nb("gs_hdr_frm",function(){w(b,"gs_hdr_src");v(b,"gs_hdr_srx")},function(){v(b,"gs_hdr_src");w(b,"gs_hdr_srx")},A("gs_hdr_tsi"))});U(".gs_md_x","click",function(a){(a=a.currentTarget.getAttribute("data-mdx"))&&ub(a)});var we=function(){},xe,ye;m=we.prototype;m.rb=function(a){a.j.button||(S(a),ze(a))};m.ra=function(a){Ae(a)&&(S(a),ze(a))};m.yb=function(a){Ae(a)&&S(a)};m.sa=function(a){if(!a.j.button){S(a);var b=a.j;b&&(Be=b.clientX||0,Ce=b.clientY||0,L(document,De,Ee,!0),clearTimeout(xe),xe=setTimeout(Fe,2E3));ze(a)}};m.Db=function(a){S(a);if(Ge){var b=a.j;b=b&&b.touches||[];if(b=b.length==1?b[0]:null)He=b.clientX,Ie=b.clientY,L(document,Je,Ke,!0),clearTimeout(ye),ye=setTimeout(Le,2E3)}ze(a)}; var Ae=function(a){a=a.j.keyCode;return a==32||a==13},ze=function(a){V("gs-press",a.currentTarget,a.j)},Fe=function(){N(document,De,Ee,!0);clearTimeout(xe);xe=void 0},Ee=function(a){a.type!="mousedown"&&Math.abs(a.clientX-Be)<10&&Math.abs(a.clientY-Ce)<10?(fb(a),a.type=="click"&&Fe()):Fe()},Le=function(){N(document,Je,Ke,!0);clearTimeout(ye);ye=void 0},Ke=function(a){a.type!="touchstart"&&Math.abs(a.clientX-He)<10&&Math.abs(a.clientY-Ie)<10?(fb(a),a.type=="click"&&Le()):Le()},Be=0,Ce=0,De=["mousedown", "mouseup","click"],Ge=z("Android")&&!z("Chrome"),He=0,Ie=0,Je=["touchstart","mousedown","mouseup","click"];Rc(we,[new T(".gs_press",{click:we.prototype.rb,keydown:we.prototype.ra,keyup:we.prototype.yb,mousedown:we.prototype.sa,touchstart:we.prototype.Db})]);function Me(a){Ne.style.left=Oe&&Pe===Qe?a.left+"px":"auto";Ne.style.width=Oe?a.width+"px":"auto";V("gs-sth-change",A("gs_sth"))}function Re(){var a=Se.getBoundingClientRect(),b=a.top,c=Ne.offsetHeight,d=b<0,e;if(e=d&&sa)e=document.activeElement,e=!!e&&e.tagName=="INPUT"&&e.type=="text";b=e?-b-a.height:Qe;var f=Oe!=d||Pe!==Qe!=e;b!==Pe&&(Pe=b,Ne.style.transform=b===Qe?"none":"translate3d(0,"+b+"px,0)");f&&(Oe=d,y(Te,"gs_sth_vis",d),y(Te,"gs_sth_trk",e),Me(a),Se.style.height=Oe?c+"px":"auto")} function Ue(){Oe&&Me(Se.getBoundingClientRect())}var Qe,Te,Se,Ne,Oe=!1,Pe;O(function(){if(Te=A("gs_sth"))Se=Te.querySelector(".gs_sth_g"),Ne=Te.querySelector(".gs_sth_b"),Jd.addListener(Re),Kd.addListener(Ue),Re()});function Ve(a,b){var c=window.location.href,d=+Pb(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 We(a){var b=a();b.triggerId&&Qa(function(){return Ve(b.triggerId,b.Fb)})};(function(a){O(function(){return setTimeout(a,0)})})(function(){for(var a=t(document.querySelectorAll(".gs_invis")),b=a.next();!b.done;b=a.next())w(b.value,"gs_invis")});function Xe(a,b,c,d,e){c=c===void 0?0:c;d=d===void 0?1:d;e=e===void 0?5:e;for(var f,g,h=0;h<e;h++)f=(c+d)/2,g=a(f),g<b?c=f:d=f;return(c+d)/2}function Ye(a){return a*a*(1.74-.74*a)}function Ze(a){return a*a*(3-2*a)}function $e(a){return Xe(Ze,a,Math.max(a-.1,0),Math.min(a+.1,1))}function af(a){var b=t(a);a=b.next().value;var c=b.next().value,d=b.next().value;b=1/(b.next().value-a)||0;return[0,(c-a)*b,(d-a)*b,1]}function bf(a,b,c,d){var e=b-a;return d?[a,a+e*c]:[b-e*c,b]};function cf(a){var b=document.querySelector(".gs_mylib .gs_ia_notf");b&&y(b,"gs_rdt",a>0)};function df(a,b){for(var c=a.length,d=window.innerWidth+"x"+window.innerHeight,e={},f=0;f<c;e={K:void 0},f++){var g=a[f];if(g){var h=g.indexOf("https://www.google-analytics.com/collect?");h==0?g+="&vp="+d:g.indexOf("/scholar_url?")==0&&(g+="&cd="+b+"&ws="+d);navigator.sendBeacon?h==0?(e=g.substr(41),g=g.substr(0,40),e.indexOf("&key=")>0&&(e=Nb(e),g="https://www.google-analytics.com/mp/collect?"+Mb({measurement_id:e.tid||"",api_secret:e.key||""}),e=JSON.stringify({client_id:e.cid||"",events:[{name:"page_view", params:{page_referrer:e.dr||"",page_location:e.dl||"",page_title:e.dt||""}}]})),navigator.sendBeacon(g,e)):navigator.sendBeacon(g):h!=0&&(e.K=new Image,ef.push(e.K),e.K.onload=e.K.onerror=e.K.onabort=function(k){return function(){var l=ef.indexOf(k.K);l<0||ef.splice(l,1)}}(e),e.K.src=g)}}}var ef=[];function ff(){A("gs_asd_frm").submit()};function gf(a,b,c,d){var e=e===void 0?1:e;var f=$e(0),g=$e(e),h=f*(1.6*f*f-1.8*f+1.2);e=g*(1.6*g*g-1.8*g+1.2);var k=af([f*(1.6*f*f-1.8*f+1.2),1.6*f*f*g-.6*f*f-1.2*f*g+.8*f+.4*g,1.6*f*g*g-1.2*f*g+.4*f-.6*g*g+.8*g,g*(1.6*g*g-1.8*g+1.2)]);f=af([f*f*(3-2*f),f*(-2*f*g+f+2*g),g*(-2*f*g+2*f+g),g*g*(3-2*g)]);f="animation-timing-function:cubic-bezier("+[k[1],f[1],k[2],f[2]].join()+")";k=[];g=a.substring(1)+"_anm";k.push("@keyframes "+g+"{");h=Math.round(h*1E3)/10;e=Math.round(e*1E3)/10;h>.1&&k.push("0%{"+ b+"}");k.push(h+"%{"+b+f+"}");k.push(e+"%{"+c+"}");k.push("100%{"+c+"}}");k.push(a+"{animation:"+g+" "+(d.toFixed(2)+"s linear;}"));return k.join("")}function hf(a,b){function c(h){f===0&&(f=h);h=Math.min((h-f)/(b*1E3),1);var k=Math.min(Math.max(h,0),1);k=Xe(Ye,h,k,Math.min(k+.17,1),5);window.scroll(e,d+Ze(k)*g);h<1&&eb(c)}var d=window.pageYOffset,e=window.pageXOffset,f=0,g=a-d;eb(c)} function jf(a,b){if(a==b)return 0;var c=window.innerHeight,d=Math.abs(b-a);return a<0&&b<0||a>c&&b>c?0:a>=0&&a<=c&&b>=0&&b<=c?d:a<0&&b>c||a>c&&b<0?c:a<0?b:b<0?a:a>c?c-b:c-a} function kf(a,b,c,d,e,f,g,h,k){var l=126;l=l===void 0?0:l;var n=A("gs_top");n.style.minHeight=n.offsetHeight+"px";var p=b.getBoundingClientRect().bottom;c=c();var r=b.getBoundingClientRect().top;p=c?r+l:p;b=c?b.getBoundingClientRect().bottom:r+l;r=Math.abs(b-p);if(r==0)n.style.minHeight="";else{l=jf(p,b);var F=c?-1:1,H=A("gs_ftr");p=H.getBoundingClientRect().bottom-F*r;p=Math.min(r,Math.max(window.innerHeight-p,0),window.pageYOffset);var B=b<0;B&&p>0&&(l=Math.min(r,l+p));b=Math.min(1,Math.max(0,(l- 100)/900))*.266+.134;p>0&&(v(H,"gs_pfix"),hf(window.pageYOffset-p,b));p=Math.abs(l/r);l=[];r*=F;F=c||B;var R=t(bf(r,0,p,F));B=R.next().value;R=R.next().value;d=t(d);for(var qa=d.next();!qa.done;qa=d.next())l.push(gf("#"+E(qa.value),Sa(B),Sa(R),b));B=t(bf(c?1:0,c?0:1,p,F));d=B.next().value;B=B.next().value;l.push(gf("#"+E(f),Ra(d),Ra(B),b));B=a.offsetHeight;d=B+r;R=t(bf(c?d/B:1,c?1:B/d,p,F));B=R.next().value;R=R.next().value;l.push(gf("#"+E(g),Ra(B),Ra(R),b));c||l.push("#"+E(a)+"{height:"+d+"px}"); g=t(bf(c?r:0,c?0:-r,p,F));a=g.next().value;g=g.next().value;e=t(e);for(c=e.next();!c.done;c=e.next())l.push(gf("#"+E(c.value),Sa(a),Sa(g),b));h.textContent=l.join("");h=function(){w(H,"gs_pfix");n.style.minHeight="";k()};cb(f,"animationend",h,b*1E3+100,h)}};function lf(a){a&&a.querySelectorAll&&a.querySelectorAll(mf).length&&Ma(nf)}function of(){lf(document.body);pf=new MutationObserver(function(a){a=t(a);for(var b=a.next();!b.done;b=a.next())lf(b.value.target)});pf.observe(document.body,{childList:!0,subtree:!0})}var pf,mf=[Xa("R8D02D50AD3,7@C>."),Xa(":7C2>6,4=2DDYlC6=:6G65."),Xa("2,52E2\\<@A6C?:@\\:5.")].join(),nf=Xa("^D49@=2C^<@A6C?:@]9E>=");function qf(a,b,c){var d=(A("gs_citd").getAttribute("data-u")||"").replace("{id}",a).replace("{p}",""+b);xc(d,"",function(e,f){P.gs_cit||(e==200?Vd("gs_cit",d,"",f):hc(ge()));c&&c()})}var rf;function sf(a,b,c,d){tf.notify({bb:a,Na:b,Va:c,error:d})}function uf(a,b){if(vf)return!1;vf=a;sf(a,b);return!0}function wf(a,b,c,d){var e=vf="";if(c){e=b.split(":");b=e[0]||xf;e=e[1]||"";var f={};f[a+","+b]=e;yf(f)}sf(a,e,c,d)} function zf(){var a=G(A("gs_lbd_data"),"data-did"),b=G(A("gs_lbd_data"),"data-lid");if(uf(a,b)){var c=b?Af.replace("{id}",xf+":"+b):Bf.replace("{id}",a);xc(c,"",function(d,e){a:{vf="";var f="",g="";if(d==200)try{var h=JSON.parse(e)}catch(k){}(d=na(h))&&typeof h.NR=="number"&&cf(h.NR);if(d){if(h.L){Ma(""+h.L);sf(a,b,!1,f);break a}if(h.M)f=""+h.M;else if(Array.isArray(h.U)&&h.U.length==1&&na(h.U[0]))g=""+(h.U[0].c||"");else if(!b||h.U)f=ge()}else f=ge();wf(a,g,!f,f)}})}} function Cf(a){return(a=zb("s",a===void 0?!1:a))&&na(a)?a:{}}function yf(a){var b=J(),c=Cf(!0),d;for(d in c){var e=c[d];e instanceof Array&&e.length==2&&b-e[1]<12E5||delete c[d]}for(var f in a)c[f]=[a[f],b];yb(Ab,xb,"s",c)}var tf=new K,xf,Af,Bf,vf="";function Y(a){var b=A("gs_res_glb");return b?b.getAttribute(a)||"":""};function Df(){return A("gs_res_lbl_frm")} function Ef(){Ff("");for(var a=document.querySelectorAll("#gs_lbl_op .gs_in_cb"),b=a.length,c=[],d=[];b--;){var e=a[b];+e.getAttribute("data-s")!=Fd(e)&&(Fd(e)?c:d).push(e.getAttribute("data-id")||"")}a=A("gs_lbd_new-input");b=(b=document.querySelector("#gs_lbd_new_in .gs_in_cb"))&&Fd(b);a=a&&b?a.value:null;if(!c.length&&!d.length&&a==null)return ub("gs_md_albl-d"),!1;b=window.location;c={label_ids_to_add:c,label_ids_to_remove:d,label_name_add:a,"continue":b.pathname+b.search};d=Df();for(var f in c)a= La(d,f),c[f]==null?d.removeChild(a):a.value=c[f];return!0}function Gf(a){var b=A("gs_lbd_new"),c=b.querySelector(".gs_in_cb");y(b,"gs_lbd_new_sel",a);a&&(Gd(c,1),A("gs_lbd_new-input").focus())}function Hf(a){var b=A("gs_md_albl-d-t");y(b,"gs_lbl_hide",!a)}function If(a){var b=A("gs_md_albl-d").querySelector(".gs_md_ftr");y(b,"gs_lbl_hide",!a)} function Jf(a){var b=(Y("data-sval")||G(A("gs_ra_data"),"data-sval")).replace("{id}",a).replace("%7Bid%7D",a);xc(b,"",function(c,d){var e="";if(c==200)if(c=I(Ba),c.innerHTML=d,c=c.querySelector(".gs_md_prg .gs_alrt"))(d=G(c,"data-r"))?Ma(d):e=c.innerHTML;else{Hf(!0);If(!0);Vd("gs_md_albl-d",b,"",d);return}else e=ge();wf(a,"",!1,e)})}function Ff(a){var b=A("gsc_lbd_alrt")||A("gs_md_albl-d").querySelector(".gs_md_prg .gs_alrt");b&&(b.innerHTML=a)};var Z=function(a){this.R=a;this.ab=G(a,"data-cid");this.Ia=Kf(a);this.la=Lf(a)};Z.prototype.zb=function(a){y(a.currentTarget.parentNode,"gs_or_mvi")};Z.prototype.qb=function(a){var b=a.currentTarget;x(b,"gs_or_ldg")||(y(b,"gs_or_ldg",!0),qf(this.ab,this.la,function(){y(b,"gs_or_ldg",!1)}))};Z.prototype.hb=function(a){var b=a.currentTarget,c=b.parentNode;nb(E(b),function(){w(b,"gs_press");v(c,"gs_vis");v(b,"gs_anm")},function(){v(b,"gs_press");w(c,"gs_vis")})}; Z.prototype.Ka=function(){var a=G(this.R,"data-lid");uf(this.Ia,a)&&Jf(this.Ia)};var Mf=[new T(".gs_or",{}),new T(".gs_or_ggsm",{"gs-press":Z.prototype.hb}),new T(".gs_or_cit",{click:Z.prototype.qb}),new T(".gs_or_sav",{click:Z.prototype.Ka}),new T(".gs_or_lbl",{click:Z.prototype.Ka}),new T(".gs_or_mor",{click:Z.prototype.zb})]; function Nf(){for(var a=x(document.documentElement,"gs_el_ph"),b=document.querySelectorAll(".gs_or_ggsm"),c=b.length;c--;){var d=b[c];x(d,"gs_vis")&&ub(E(d));y(d,"gs_press",a);w(d,"gs_anm")}}function Of(a){var b=document.querySelector('.gs_or[data-did="'+a.bb+'"]');if(b){var c=b.querySelector(".gs_or_sav")||b.querySelector(".gs_or_lbl");c&&(y(c,"gs_or_ldg",a.error===void 0),a.Va&&b.setAttribute("data-lid",a.Na))}}function Kf(a){return G(a,"data-did")}function Lf(a){return+G(a,"data-rp")||0};var Pf=["gsb","gsr"],Qf=!1,Rf=!1;function Sf(){if(Qf&&!Rf)for(var a=t(Pf),b=a.next();!b.done;b=a.next()){b=b.value;var c=A(b+"_promo");c&&c.offsetWidth&&x(c,b+"_not_installed")&&(b=c.getAttribute("data-trk"),navigator.sendBeacon(b),Rf=!0)}} function Tf(){L(window,"message",function(a){var b=a.data;if(a.origin.match(/[.]google[.]com(:[0-9]+)?$/)&&b&&typeof b==="object"){a=t(Pf);for(var c=a.next();!c.done;c=a.next()){c=c.value;var d=A(c+"_promo");if(d){var e=+b[c+"Promo"];e>=0&&(d.className=c+(e?"_not_installed":"_installed"))}}Qf=!0;Sf()}});Ld(Sf);O(function(){var a=I(Ca);a.id="gs_ext_promo_ping";a.frameBorder="0";a.scrolling="no";a.tabIndex=-1;a.src=(window.location.host.indexOf("scholar.google.")?"":"//scholar.google.com")+"/scholar_gsb_promo_ping"; document.body.appendChild(a)})};function Uf(){Qc("#gsb_promo_x",function(a){A("gsb_promo").className="";S(a);xc(a.target.href,"",function(){})})};function Vf(){Qc("#gsr_promo_x",function(a){A("gsr_promo").className="";S(a);xc(a.target.href,"",function(){})})};var Wf=function(a){this.R=a;this.Fa=a.querySelectorAll(".gs_fma_t");this.Ea=a.querySelectorAll(".gs_fma_con");this.Xa=a.querySelectorAll(".gs_fma_abs");this.fb=a.querySelectorAll(".gs_fma_grad");this.Ya=a.querySelector(".gs_fma_brdr");this.Ob=a.querySelectorAll(".gs_fma_sml");this.cb=a.querySelector(".gs_flb");this.la=Lf(this.R)}; Wf.prototype.Bb=function(a){a=parseInt(a.currentTarget.getAttribute("data-idx"),10);var b=this.Ea[a],c=this.Xa[a],d=this.fb[a];a=this.Ob[a];var e=!x(b,"gs_fma_ex"),f=[A("gs_res_ccl_bot"),this.cb],g=od(this.R);g=t(g);for(var h=g.next();!h.done;h=g.next())f.push(h.value);e&&Xf(b,this.la);var k=Pa("gs_fma_anmst");kf(b,c,function(){d.style.height=c.scrollHeight+"px";v(c,"gs_fma_ovis");return y(b,"gs_fma_ex",e)},[a],f,d,this.Ya,k,function(){k.parentNode.removeChild(k);d.style.height="";w(c,"gs_fma_ovis")})}; Wf.prototype.gb=function(a){for(var b=0;b<this.Fa.length;b++){var c=this.Fa[b],d=c===a.currentTarget;y(this.Ea[b],"gs_fma_sh",d);c.setAttribute("aria-selected",d);d&&Xf(c,this.la)}};var Xf=function(a,b){a=a.getAttribute("data-trk").split(" ");df(a,b)},Yf=[new T(".gs_fmar",{}),new T([".gs_fma_sml_a"],{click:Wf.prototype.Bb}),new T([".gs_fma_t"],{click:Wf.prototype.gb})],Zf=!1; function $f(){for(var a=t(document.querySelectorAll(".gs_fmar")),b=a.next();!b.done;b=a.next()){var c=b.value;b=c.querySelectorAll(".gs_fma_abs");c=c.querySelectorAll(".gs_fma_con");for(var d=0;d<c.length;d++)y(c[d],"gs_fma_cl",b[d].scrollHeight-45>126)}b=document.querySelectorAll(".gs_fmar");(a=Zf||!navigator.sendBeacon||b.length==0)||(a=b[0].querySelector(".gs_fma").offsetHeight<=0);if(!a&&(Zf=!0,a=Y("data-fmat"))){b=t(b);for(c=b.next();!c.done;c=b.next()){var e=c.value;c=Lf(e);d=[];e=t(e.querySelectorAll(".gs_fma_con")); for(var f=e.next();!f.done;f=e.next())d.push(x(f.value,"gs_fma_cl")?"0":"1");a+=["&rp",c,"=",d.join(",")].join("")}navigator.sendBeacon(a)}};var ag=function(a){this.R=a};ag.prototype.Ab=function(){Lf(this.R)<5?bg({}):(cg=Kf(this.R),dg=J())};function eg(){var a=document.location.href;return a.substr(0,a.indexOf("#"))||a}function fg(){return document.querySelector(".gs_r_rfr")}function gg(a){var b=fg();return!!b&&Kf(b)==a&&!!b.querySelector(".gs_rfr")}function bg(a){yb(Ab,xb,"rfr",a)}function hg(){var a=zb("rfr");return a&&na(a)?a:null} function ig(a,b,c){v(a,"gs_r_rfr");var d=I(Ba);d.className="gs_rfr";d.innerHTML=b;a.appendChild(d);jg();if(c){b="@keyframes gs_r_vsld_anm{0%{transform:translate(0,-"+d.offsetHeight+"px);}100%{transform:translate(0,0);}}";Pa("gs_r_vsld_style").textContent=b;b=od(a);b=t(b);for(c=b.next();!c.done;c=b.next())v(c.value,"gs_r_vsld");v(A("gs_res_ccl_bot"),"gs_r_vsld");v(a,"gs_anm");cb(d,"animationend",kg,500,kg)}} function kg(){var a=fg();a&&w(a,"gs_anm");a=document.querySelectorAll(".gs_r_vsld");for(var b=a.length,c=0;c<b;c++)w(a[c],"gs_r_vsld")}function lg(){var a=fg();if(!a)return!1;w(a,"gs_r_rfr");var b=a.querySelector(".gs_rfr");if(!b)return!1;a.removeChild(b);return!0}function mg(){var a=window.pageYOffset,b=fg();if(!b)return a;b=b.querySelector(".gs_rfr");if(!b)return a;b=b.getBoundingClientRect();b.top<0&&(a-=b.bottom-b.top);return a} function ng(a,b){var c=b.getBoundingClientRect();b=c.bottom;c=b-(b-c.top)/3;var d=1E4,e=-1E4,f=!1;a=a.getClientRects();for(var g=0;g<a.length;g++){var h=a[g];b-h.top>=4&&h.bottom-c>=4?(d=Math.min(d,h.left),e=Math.max(e,h.right)):h.top>=b&&(f=!0)}return d==1E4?f?0:-1:f?e-d:-1} function jg(){for(var a=document.querySelectorAll(".gs_rfr_rt>a"),b=0;b<a.length;b++){var c=a[b],d=c.parentNode,e=d.firstElementChild,f=e.style;c=c.querySelector("[dir]")||c;f.display="none";var g=ng(c,d);if(g>=0){var h=Ja(d),k=Ja(c);f.display="block";e.setAttribute("dir",k?"rtl":"ltr");g=ng(c,d);f.transform="translateX("+[-1,0,0,1][2*(h?1:0)+(k?1:0)]*(d.offsetWidth-e.offsetWidth-g)+"px)"}}}var og=[new T([".gs_r"],{}),new T([".gs_rt",".gs_or_ggsm"],{click:ag.prototype.Ab})],cg,dg=0;GSP.customAC&&(Rc(W,Dd),O(Ed),L(window,"pageshow",function(){setTimeout(Ed,0)}));window.MutationObserver&&O(of);U("#gs_asd_psb","click",ff);U("#gs_asd_frm","keydown",function(a){var b=a.target;b.tagName=="INPUT"&&b.type=="text"&&a.j.keyCode==13&&ff()});U(".gs_citr","focus",function(a){var b=a.currentTarget;b!=rf&&(rf=b,S(a),setTimeout(function(){window.getSelection().selectAllChildren(b);b.focus()},0))});U(".gs_cith","click",function(a){(a=a.currentTarget.parentNode.querySelector(".gs_citr"))&&a.focus()}); U("#gs_lbd_apl","click",function(){Ef()&&V("submit",Df())});Qc("#gs_lbd_new_btn",function(){Gf(!0)});Qc("#gs_lbd_new_cb",function(){Gf(!1)});U("#gs_lbd_trash","click",function(){zf()});U("#gs_md_albl-d","gs-md-lded",function(){A("gs_lbd_data")?(L(Df(),"submit",Ef),wf(G(A("gs_lbd_data"),"data-did"),La(Df(),"s").value,!0,"")):(Hf(!1),If(!1))});U("#gs_res_lbl_frm","gs-ajax-form-done",function(){var a=G(Df(),"data-p");(a=/^NR:([0-9]+)$/.exec(a))&&cf(parseInt(a[1],10)||0)}); tf.add(function(a){a.error===void 0?(mc=0,kc(),Ff("")):a.error?P["gs_md_albl-d"]?Ff(a.error):hc(a.error):a.Va&&!a.Na&&ub("gs_md_albl-d")});Rc(Z,Mf); O(function(){Nf();tf.add(Of);for(var a={},b=document.querySelectorAll(".gs_or[data-did]"),c=b.length;c--;){var d=b[c],e=Kf(d);d=G(d,"data-lid");a[e]=d}b=Y("data-lpu");c=Y("data-sva");e=Y("data-tra");d=Y("data-lsl");xf=b;Af=e;Bf=c;try{var f=JSON.parse(d===void 0?"":d)}catch(h){}f&&na(f)&&!ec||(f={});yf(f);f=Cf();for(var g in a)b=a[g],c=f[g+","+xf],c instanceof Array&&(c=""+c[0],b!=c&&(b=c,sf(g,b,!0,"")))});Ld(Nf);L(window,"pagehide",Nf); U("#gs_res_sb_yyc","click",function(){A("gs_res_sb_yyf").style.display="block";for(var a=document.querySelectorAll("#gs_res_sb_yyl>li"),b=a.length;b--;)y(a[b],"gs_bdy_sb_sel",b==a.length-1)});U("#gs_scipsc","gs-change",function(a){var b=Fd(a.currentTarget),c=La(A("gs_hdr_frm"),"scipsc"),d=La(A("gs_asd_frm"),"scipsc");c.value=d.value=b?"1":"";a=a.currentTarget.getAttribute("data-msg")||"";A("gs_hdr_tsi").placeholder=b?a:""}); (function(a){window.location.hash||ec||O(function(){return We(a)})})(function(){var a=Y("data-usv");return{triggerId:a&&"FQCrQs2JV0iDFprtVEw0WZEm7Syp",Fb:a=="1"}});Qc("#gs_res_drw_adv",function(){Vd("gs_asd")});O(function(){var a=Y("data-ttl");a&&(document.title=a);a=new Fc("q");var b=Y("data-ahq");b&&a.add(b);Y("data-gsb")?(Uf(),Tf()):Y("data-gsr")&&(Vf(),Tf())});Rc(ag,og); L(window,"pagehide",function(){kg();if(cg&&!gg(cg)){var a={d:cg,u:eg(),t:J()};J()-dg>=5E3&&(a={});var b=mg();lg()&&window.scrollTo(0,b);a.s=b;bg(a)}}); L(window,"pageshow",function(){var a=hg(),b=eg();if(a&&a.u==b)if(J()-(+a.t||0)>=864E5)bg({});else{var c=""+a.d,d=Y("data-rfr");if(d)if(gg(c))jg();else{b=lg();var e=+a.s;e&&!b&&(z("Trident")||z("Edge"))&&cb(window,"scroll",function(){window.scrollTo(0,e)},20);a.s=0;bg(a);var f=document.querySelector('.gs_or[data-did="'+c+'"]');f&&((b=a.h)?ig(f,""+b,!1):setTimeout(function(){var g=d.replace("{id}",c),h=xc(g,"",function(l,n){l==200&&n&&(ig(f,n,!0),a.h=n,a.t=J(),bg(a));clearTimeout(k)}),k=setTimeout(function(){yc(h)}, 1E3)},0))}}});Kd.addListener(jg);O(function(){$f();Kd.addListener($f)});Rc(Wf,Yf); }({"customAC":0,"eventId":"3gFEZ5LUCMCI6rQPnq62wQE"});</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&#39;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 gs_md_wmw"><div id="gs_cit" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_cit-t" data-cid="gs_citd" data-wfc="gs_cit-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_cit-x" role="button" aria-label="Cancel" data-mdx="gs_cit" 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_cit-t" class="gs_md_hdr_t">Cite</h2><div class="gs_md_hdr_b"></div></div><div id="gs_cit-bdy" class="gs_md_bdy"><style>#gs_cit{width:520px;max-width:80%;}.gs_el_ph #gs_cit{width:100%;max-width:100%;}#gs_citt table{width:100%;margin-top:-8px;}#gs_citt td,#gs_citt th{vertical-align:top;padding:8px 0;}#gs_citt th{text-align:right;font-weight:normal;color:#777;padding-right:16px;white-space:nowrap;-ms-user-select:none;user-select:none;}#gs_citi{margin:16px 0 0 0;text-align:center;}.gs_el_ph #gs_citi{margin:16px 0 8px 0;}.gs_citi{margin-right:16px;white-space:nowrap;padding:7px 0 5px 0;}.gs_citi:first-child{margin-left:16px;}</style><div id="gs_citd" aria-live="assertive" data-u="/scholar?q=info:{id}:scholar.google.com/&amp;output=cite&amp;scirp={p}&amp;hl=en"></div></div></div></div><div data-h="0" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_asd" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_asd-t" data-ifc="gs_asd_q" data-wfc="gs_asd-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_asd-x" role="button" aria-label="Cancel" data-mdx="gs_asd" 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_asd-t" class="gs_md_hdr_t">Advanced search</h2><div class="gs_md_hdr_b"><button type="button" id="gs_asd_psb" 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></div></div><div id="gs_asd-bdy" class="gs_md_bdy"><style>#gs_asd{width:80%;max-width:552px;}.gs_el_ph #gs_asd{width:100%;max-width:100%;}#gs_asd_frm{margin-top:-6px;}.gs_el_tc #gs_asd_frm{margin-top:-8px;}.gs_asd_tr{clear:both;}.gs_el_tc .gs_asd_tr{padding:8px 0;}.gs_el_tc .gs_asd_tr:first-child{padding-bottom:0;}.gs_asd_dt{float:left;width:190px;padding:6px 2px 2px;}.gs_el_tc .gs_asd_dt{float:none;width:auto;padding:0 0 4px 0;}.gs_asd_dd{margin-left:194px;padding:2px;}.gs_el_tc .gs_asd_dd{margin-left:0;padding:0;}.gs_asd_yri .gs_in_txt{width:48px;}.gs_el_ph #gs_asd input,.gs_el_ph #gs_asd label{-webkit-tap-highlight-color:rgba(0,0,0,0);}.gs_asd_occtr{padding:5px 0;}.gs_el_tc .gs_asd_occtr{padding:0;}</style><form id="gs_asd_frm" class="gs_scl" action="/scholar"><div class="gs_asd_tr"><div class="gs_asd_dt" id="gs_asd_dt_t"><b>Find articles</b></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_q">with <b>all</b> of the words</label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_q" value="" id="gs_asd_q" autocapitalize="off"><div class="gs_in_txts"></div></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_epq">with the <b>exact phrase</b></label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_epq" value="" id="gs_asd_epq" autocapitalize="off"><div class="gs_in_txts"></div></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_oq">with <b>at least one</b> of the words</label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_oq" value="" id="gs_asd_oq" autocapitalize="off"><div class="gs_in_txts"></div></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_eq"><b>without</b> the words</label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_eq" value="" id="gs_asd_eq" autocapitalize="off"><div class="gs_in_txts"></div></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_occt">where my words occur</label></div><div class="gs_asd_dd"><div class="gs_asd_occtr"><span class="gs_in_ra" onclick="void(0)"><input type="radio" name="as_occt" value="any" id="gs_asd_occt_a" checked><label for="gs_asd_occt_a">anywhere in the article</label><span class="gs_chk"></span><span class="gs_cbx"></span></span></div><div class="gs_asd_occtr"><span class="gs_in_ra" onclick="void(0)"><input type="radio" name="as_occt" value="title" id="gs_asd_occt_t"><label for="gs_asd_occt_t">in the title of the article</label><span class="gs_chk"></span><span class="gs_cbx"></span></span></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_sau">Return articles <b>authored</b> by</label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_sauthors" value="" id="gs_asd_sau" autocapitalize="off"><div class="gs_in_txts"></div></div><div>e.g., <i>"PJ Hayes"</i> or <i>McCarthy</i></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_pub">Return articles <b>published</b> in</label></div><div class="gs_asd_dd"><div class="gs_in_txtw gs_in_txtm gs_in_txtb"><input type="text" class="gs_in_txt" name="as_publication" value="" id="gs_asd_pub" autocapitalize="off"><div class="gs_in_txts"></div></div><div>e.g., <i>J Biol Chem</i> or <i>Nature</i></div></div></div><div class="gs_asd_tr"><div class="gs_asd_dt"><label for="gs_asd_ylo">Return articles <b>dated</b> between</label></div><div class="gs_asd_dd"><div class="gs_asd_yri"><div class="gs_in_txtw gs_in_txtm"><input type="text" class="gs_in_txt" name="as_ylo" value="" id="gs_asd_ylo" size="4" maxlength="4" autocapitalize="off" pattern="[0-9]*"><div class="gs_in_txts"></div></div>&nbsp;—&nbsp;<div class="gs_in_txtw gs_in_txtm"><input type="text" class="gs_in_txt" name="as_yhi" value="" id="gs_asd_yhi" size="4" maxlength="4" autocapitalize="off" pattern="[0-9]*"><div class="gs_in_txts"></div></div></div><div>e.g., <i>1996</i></div></div></div><input type=hidden name="hl" value="en"><input type=hidden name="as_sdt" value="0,5"></form></div></div></div><div data-h="367" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_md_albl-d" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_md_albl-d-t" data-wfc="gs_md_albl-d-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_md_albl-d-x" role="button" aria-label="Cancel" data-mdx="gs_md_albl-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_albl-d-t" class="gs_md_hdr_t">Saved to My library</h2><div class="gs_md_hdr_b"></div></div><div id="gs_md_albl-d-bdy" class="gs_md_bdy"></div><div class="gs_md_ftr"><div class="gs_lbl_btns"><button type="button" id="gs_lbd_apl" class=" gs_btn_act gs_btn_lrge"><span class="gs_wr"><span class="gs_lbl">Done</span></span><span class="gs_bs"></span></button><button type="button" id="gs_lbd_trash" class=" gs_btn_olact gs_btn_lrge"><span class="gs_wr"><span class="gs_lbl">Remove article</span></span><span class="gs_bs"></span></button></div></div></div></div><!--[if lte IE 9]><div class="gs_alrt" style="padding:16px"><div>Sorry, some features may not work in this version of Internet Explorer.</div><div>Please use <a href="//www.google.com/chrome/">Google Chrome</a> or <a href="//www.mozilla.com/firefox/">Mozilla Firefox</a> for the best experience.</div></div><![endif]--><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&amp;as_sdt=0,5" aria-label="Homepage"></a></div><div><div class="gs_hdr_drw_sec"><a href="/scholar?as_sdt=0,5&amp;hl=en" role="menuitem" class=" gs_in_ib gs_md_li gs_md_lix gs_in_gray gs_sel"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Articles</span></a><a href="/scholar?as_sdt=2006&amp;hl=en" role="menuitem" 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">Case law</span></a><a href="/citations?view_op=search_authors&amp;mauthors=&amp;hl=en&amp;oi=drw" role="menuitem" 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">Profiles</span></a></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&amp;hl=en&amp;as_sdt=0,5" 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="/scholar_alerts?view_op=list_alerts&amp;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><a href="/citations?view_op=metrics_intro&amp;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></div><div class="gs_hdr_drw_sec"><a href="javascript:void(0)" id="gs_res_drw_adv" role="menuitem" class="gs_btnADV 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">Advanced search</span></a></div><div class="gs_hdr_drw_sec"><a href="/scholar_settings?hl=en&amp;as_sdt=0,5" 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&amp;continue=https://scholar.google.com/scholar_lookup%3Ftitle%3DThe%2520aim%2520and%2520structure%2520of%2520physical%2520theory%26publication_year%3D1962%26author%3DDuhem%252CP" 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"><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="gs_hdr_dso" href="/schhp?hl=en&amp;as_sdt=0,5" aria-label="Homepage"></a><div id="gs_hdr_md"><div id="gs_hdr_srch"><form id="gs_hdr_frm" action="/scholar"><input type=hidden name="hl" value="en"><input type=hidden name="as_sdt" value="0,5"><div class="gs_in_txtw gs_in_txtb"><input type="text" class="gs_in_txt" name="q" value="" id="gs_hdr_tsi" 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><div id="gs_hdr_act"><a id="gs_hdr_act_s" href="https://accounts.google.com/Login?hl=en&amp;continue=https://scholar.google.com/scholar_lookup%3Ftitle%3DThe%2520aim%2520and%2520structure%2520of%2520physical%2520theory%26publication_year%3D1962%26author%3DDuhem%252CP">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_ab" class=" gs_ab_st"><div id="gs_ab_ico" class="gs_btnGSL"><span class="gs_ico"></span></div><div id="gs_ab_ttl"><div class="gs_ab_mdw"><span class="gs_nph gs_nta">Articles</span><div class="gs_oph gs_ota">Scholar</div></div></div><div id="gs_ab_md"><div class="gs_ab_mdw">1 result (<b>0.02</b> sec)</div></div><div id="gs_ab_btns"><a href="/citations?hl=en" class="gs_btnPRO gs_in_ib gs_in_gray gs_nph gs_nta"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My profile</span></a><a href="/scholar?scilib=1&amp;hl=en&amp;as_sdt=0,5" class="gs_btnL gs_in_ib gs_in_gray gs_nph gs_nta gs_mylib"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My library</span></a></div></div><div id="gs_bdy"><div id="gs_bdy_sb" role="navigation"><div id="gs_bdy_sb_in"><ul class="gs_bdy_sb_sec"><li class="gs_ind gs_bdy_sb_sel"><a href="javascript:void(0)">Lookup</a></li></ul></div></div><div id="gs_bdy_ccl" role="main"><div id="gs_res_glb" style="display:none" data-ttl="Duhem: The aim and structure of physical theory - Google Scholar" data-lph="" data-sva="/citations?hl=en&amp;xsrf=&amp;continue=/scholar%3Fhl%3Den%26as_sdt%3D0,5&amp;citilm=1&amp;update_op=library_add&amp;info={id}&amp;ei=3gFEZ5LUCMCI6rQPnq62wQE&amp;json=" data-sval="/citations?hl=en&amp;xsrf=&amp;continue=/scholar%3Fhl%3Den%26as_sdt%3D0,5%26scisig%3D3gFEZ5LUCMCI6rQPnq62wQE%26dts%3D%7Bid%7D&amp;citilm=1&amp;update_op=library_add&amp;info={id}&amp;ei=AFWwaeYAAAAAZ0QENhVAR-u6bjZnE4N7dhlry-k&amp;view_op=list_article_labels" data-tra="/citations?hl=en&amp;xsrf=&amp;continue=/scholar%3Fhl%3Den%26as_sdt%3D0,5&amp;citilm=1&amp;json=&amp;update_op=trash_citations&amp;s={id}" data-via="/citations?view_op=view_citation&amp;continue=/scholar%3Fhl%3Den%26as_sdt%3D0,5&amp;citilm=1&amp;citation_for_view={id}&amp;hl=en&amp;oi=saved" data-lsl="" data-lpu="" data-lsm="Saved to &lt;a href=&quot;/scholar?scilib=1&amp;amp;hl=en&amp;amp;as_sdt=0,5&quot;&gt;your library&lt;/a&gt;." data-ahq="" data-gsb="" data-gsr="" data-rfr="" data-usv="" data-fmat="/scholar_fmat?hl=en&amp;as_sdt=0,5&amp;ei=3gFEZ5LUCMCI6rQPnq62wQE"></div><div id="gs_res_lbtpl" style="display:none"></div><div id="gs_res_ccl"><div id="gs_res_ccl_top"><style>.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_fma{margin:12px 0;display:flex;}.gs_fma_con{margin-left:16px;}.gs_fma_brdr{width:1px;background:#ddd;transform-origin:top;}.gs_fma_t_wrp{display:flex;align-items:flex-start;margin:0px 16px 16px 16px;}.gs_fma_t,.gs_fma_t:link{font-size:13px;padding:7px 15px;display:inline-block;color:#666;}.gs_fma_t:hover,.gs_fma_t:active{text-decoration:none;background:#f1f1f1;}.gs_fma_t[aria-selected="true"]{border-bottom:2px solid #4d90fe;}.gs_fma_t[aria-selected="false"]{border-bottom:1px solid #e5e5e5;}.gs_fma_con.gs_fma_sh{visibility:visible;position:relative;}.gs_fma_con{visibility:hidden;position:absolute;}.gs_invis .gs_fma_con{visibility:hidden;}.gs_fma_hdr{font-size:15px;font-weight:bold;line-height:21px;color:#444;}.gs_fma_grad{background:linear-gradient(to bottom,rgba(255,255,255,0) 100px,rgba(255,255,255,1) 126px);width:650px;height:100%;transform-origin:bottom;position:absolute;display:none;}.gs_fma_cl .gs_fma_grad{display:block;z-index:-1;}.gs_fma_cl .gs_fma_snp{position:relative;z-index:-2;}.gs_fma_ex.gs_fma_cl .gs_fma_grad{transform:scaleY(0);}.gs_fma_abs{font-size:15px;line-height:21px;width:600px;overflow:hidden;}.gs_fma_abs.gs_fma_ovis{overflow:visible;}.gs_fma_cl .gs_fma_abs{max-height:126px;}.gs_fma_ex.gs_fma_cl .gs_fma_abs{max-height:none;}.gs_fma_sml{max-width:600px;text-transform:uppercase;font-size:13px;padding-top:16px;display:none;}.gs_fma_cl .gs_fma_sml{display:block;}a.gs_fma_sml_a{color:#222;}.gs_fma_smlsl,.gs_fma_ex .gs_fma_smlsm{display:none;}.gs_fma_ex .gs_fma_smlsl{display:inline;}.gs_fma_smlar{display:inline-block;content:"";width:5px;height:5px;border:1px solid #222;border-right:none;border-bottom:none;transform:rotate(225deg);margin-left:8px;position:relative;top:-3px;transition:rotate 0.2s;}.gs_fma_ex .gs_fma_smlar{transform:rotate(45deg);top:0;}.gs_fma_fons{margin-top:16px;}.gs_fma_fon{padding-left:12px;display:flex;align-items:center;font-size:13px;line-height:16px;background:#f5f5f5;border-radius:4px;height:29px;}.gs_fma_cl .gs_fma_fon{position:relative;z-index:-2;}.gs_fma_fi{height:16px;width:16px;padding-right:8px;}.gs_pdot{color:#d9d9d9;padding:0 6px;}.gs_fmaa{line-height:19px;margin-bottom:2px;}.gs_fma_s,.gs_el_ph .gs_fma_p,.gs_el_ta .gs_fma_p{display:none;}.gs_el_ph .gs_fma_s,.gs_el_ta .gs_fma_s{display:block;}</style></div><div id="gs_res_ccl_mid"> <div class="gs_r gs_or gs_scl gs_fmar" data-cid="XavNh5JGjAwJ" data-did="XavNh5JGjAwJ" data-lid="" data-aid="XavNh5JGjAwJ" data-rp="0"><div class="gs_ri"><h3 class="gs_rt" ontouchstart="gs_evt_dsp(event)"><a id="XavNh5JGjAwJ" href="https://www.torrossa.com/gs/resourceProxy?an=5576495&amp;publisher=FZO137" data-clk="hl=en&amp;sa=T&amp;ct=res&amp;cd=0&amp;d=904175220352199517&amp;ei=3gFEZ5LUCMCI6rQPnq62wQE" data-clk-atid="XavNh5JGjAwJ">The aim and structure of physical theory</a></h3><div class="gs_a gs_fma_s">PMM Duhem - 2021 - torrossa.com</div><div class="gs_a gs_fma_p"><div class="gs_fmaa">PMM Duhem</div>2021<span class="gs_pdot">•</span>torrossa.com</div><div class="gs_rs gs_fma_s">THE AIM AND STRUCTURE OF PHYSICAL THEORY was favorably received when it first <br>appeared in 1906, and at the time of the second edition in 1914.* WvO Quine appropriated <br>Pierre Duhem&#39;s thesis in a justly famous article, 1 and, in so doing, gave it a second life, but <br>not without interpreting it and changing its meaning and implication. 2 Here the English <br>version of Duhem&#39;s work will be analyzed in a manner faithful to its original meaning, without <br>the mixing in of foreign elements that the modern reader almost inevitably associates with it …</div><div class="gs_fma gs_fma_p gs_invis"><div class="gs_fma_brdr"></div><div class="gs_fma_wpr"><div class="gs_fma_con gs_fma_sh" data-trk="/scholar_url?url=https://www.torrossa.com/gs/resourceProxy%3Fan%3D5576495%26publisher%3DFZO137&amp;hl=en&amp;sa=T&amp;oi=fma-abs-view&amp;ct=fma-expand&amp;d=904175220352199517&amp;ei=3gFEZ5LUCMCI6rQPnq62wQE&amp;tab=-1&amp;at=The+aim+and+structure+of+physical+theory https://www.google-analytics.com/collect?v=1&amp;tid=UA-129645049-1&amp;aip=1&amp;cid=11316968722118663044&amp;dr=https%3A%2F%2Fscholar.google.com&amp;t=pageview&amp;dl=https://www.torrossa.com/gs/resourceProxy%3Fan%3D5576495%26publisher%3DFZO137&amp;dt=The+aim+and+structure+of+physical+theory"><div class="gs_fma_abs"><div class="gs_fma_grad"></div><div class="gs_fma_snp"><div class="gsh_csp">THE AIM AND STRUCTURE OF PHYSICAL THEORY was favorably received when it first appeared in 1906, and at the time of the second edition in 1914.* WvO Quine appropriated Pierre Duhem&#39;s thesis in a justly famous article, 1 and, in so doing, gave it a second life, but not without interpreting it and changing its meaning and implication. 2 Here the English version of Duhem&#39;s work will be analyzed in a manner faithful to its original meaning, without the mixing in of foreign elements that the modern reader almost inevitably associates with it. In the Preface to the second edition, the author mentions adding two articles, dated 1905 and 1907, to the collection that appeared in 190^ 1905 in the Revue de philosophie. He forgets to remind us that Chapter IV—a chapter common to both editions—develops ideas first articulated in an 1893 essay (&quot; L&#39;Ecole anglaise et les theories physiques&quot;) published by the Revue des questions scientifiques. Several questions of classificatory coherence posed by this chapter need to be examined first. Since Duhem constantly draws upon the history of science in support of his theses, and since it is the peripatetic doctrine which, by his own admission, offers the best analogy to his own conception, a few reflections on the&quot; Duhemian Aristotle&quot; will be added to this examination, as represented by The Aim and Structure of Physical Theory [hereafter PT].</div><div class="gsh_csp">Having clarified these questions of internal coherence and history, we will try to isolate in PT a thesis that is apt to be favorably received today—logically weaker than the one Duhem arrived at, and derived from the dual character of knowledge proper to physics in its symbolic and approximate aspects.</div></div><div class="gs_fma_fons"><div class="gs_fma_fon">torrossa.com</div></div></div><div class="gs_fma_sml"><a class="gs_fma_sml_a" data-idx="0" href="javascript:void(0)" role="presentation"><span class="gs_fma_smlsm">Show more</span><span class="gs_fma_smlsl">Show less</span><span class="gs_fma_smlar"></span></a></div></div></div></div><div class="gs_fl gs_flb gs_invis"><a href="javascript:void(0)" class="gs_or_sav gs_or_btn" role="button"><svg viewBox="0 0 15 16" class="gs_or_svg"><path d="M7.5 11.57l3.824 2.308-1.015-4.35 3.379-2.926-4.45-.378L7.5 2.122 5.761 6.224l-4.449.378 3.379 2.926-1.015 4.35z"/></svg><span class="gs_or_btn_lbl">Save</span></a> <a href="javascript:void(0)" class="gs_or_cit gs_or_btn gs_nph" role="button" aria-controls="gs_cit" aria-haspopup="true"><svg viewBox="0 0 15 16" class="gs_or_svg"><path d="M6.5 3.5H1.5V8.5H3.75L1.75 12.5H4.75L6.5 9V3.5zM13.5 3.5H8.5V8.5H10.75L8.75 12.5H11.75L13.5 9V3.5z"/></svg><span>Cite</span></a> <a href="/scholar?cites=904175220352199517&amp;as_sdt=2005&amp;sciodt=0,5&amp;hl=en">Cited by 4341</a> <a href="/scholar?q=related:XavNh5JGjAwJ:scholar.google.com/&amp;scioq=&amp;hl=en&amp;as_sdt=0,5">Related articles</a> <a href="/scholar?cluster=904175220352199517&amp;hl=en&amp;as_sdt=0,5" class="gs_nph">All 9 versions</a> <a href="javascript:void(0)" title="More" class="gs_or_mor" role="button"><svg viewBox="0 0 15 16" class="gs_or_svg"><path d="M0.75 5.5l2-2L7.25 8l-4.5 4.5-2-2L3.25 8zM7.75 5.5l2-2L14.25 8l-4.5 4.5-2-2L10.25 8z"/></svg></a> <a href="/scholar?output=instlink&amp;q=info:XavNh5JGjAwJ:scholar.google.com/&amp;hl=en&amp;as_sdt=0,5&amp;scillfp=12627879570332719940&amp;oi=llo" class="gs_or_nvi">Library Search</a> <a href="javascript:void(0)" title="Fewer" class="gs_or_nvi gs_or_mor" role="button"><svg viewBox="0 0 15 16" class="gs_or_svg"><path d="M7.25 5.5l-2-2L0.75 8l4.5 4.5 2-2L4.75 8zM14.25 5.5l-2-2L7.75 8l4.5 4.5 2-2L11.75 8z"/></svg></a></div></div></div></div><div id="gs_res_ccl_bot" class="gs_fmarb gs_invis"><div style="height:1em"></div></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.com/intl/en/policies/privacy/">Privacy</a><a href="//www.google.com/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&amp;hl=en" tabindex="-1" class="gs_md_li">Search help</a></div></div></div></body></html>

Pages: 1 2 3 4 5 6 7 8 9 10