CINXE.COM
View article
<!doctype html><html><head><title>View article</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"><meta name="description" content="M Aaboud, G Aad, B Abbott, DC Abbott, O Abdinov, B Abeloos, DK Abhayasinghe, SH Abidi, OS AbouZeid, NL Abraham…, The European Physical Journal C, 2019 - Cited by 1,189"><meta property="og:description" content="M Aaboud, G Aad, B Abbott, DC Abbott, O Abdinov, B Abeloos, DK Abhayasinghe, SH Abidi, OS AbouZeid, NL Abraham…, The European Physical Journal C, 2019 - Cited by 1,189"><meta property="og:title" content="Electron reconstruction and identification in the ATLAS experiment using the 2015 and 2016 LHC proton–proton collision data at s= 13 s= 13 TeV TeV"><meta property="og:image" content=""><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>html,body,form,table,div,h1,h2,h3,h4,h5,h6,img,ol,ul,li,button{margin:0;padding:0;border:0;}table{border-collapse:collapse;border-width:0;empty-cells:show;}html,body{height:100%}#gs_top{position:relative;box-sizing:border-box;min-height:100%;min-width:964px;-webkit-tap-highlight-color:rgba(0,0,0,0);}#gs_top>*:not(#x){-webkit-tap-highlight-color:rgba(204,204,204,.5);}.gs_el_ph #gs_top,.gs_el_ta #gs_top{min-width:320px;}#gs_top.gs_nscl{position:fixed;width:100%;}body,td,input,button{font-size:13px;font-family:Arial,sans-serif;line-height:1.24;}body{background:#fff;color:#222;-webkit-text-size-adjust:100%;-moz-text-size-adjust:none;}.gs_gray{color:#777777}.gs_red{color:#dd4b39}.gs_grn{color:#006621}.gs_lil{font-size:11px}.gs_med{font-size:16px}.gs_hlt{font-weight:bold;}a:link{color:#1a0dab;text-decoration:none}a:visited{color:#660099;text-decoration:none}a:hover,a:hover .gs_lbl{text-decoration:underline}a:active,a:active .gs_lbl,a .gs_lbl:active{color:#d14836}.gs_el_tc a:hover,.gs_el_tc a:hover .gs_lbl{text-decoration:none}.gs_pfcs a:focus,.gs_pfcs button:focus,.gs_pfcs input:focus,.gs_pfcs label:focus{outline:none}.gs_a,.gs_a a:link,.gs_a a:visited{color:#006621}.gs_a a:active{color:#d14836}a.gs_fl:link,.gs_fl a:link{color:#1a0dab}a.gs_fl:visited,.gs_fl a:visited{color:#660099}a.gs_fl:active,.gs_fl a:active{color:#d14836}.gs_fl{color:#777777}.gs_ctc,.gs_ctu{vertical-align:middle;font-size:11px;font-weight:bold}.gs_ctc{color:#1a0dab}.gs_ctg,.gs_ctg2{font-size:13px;font-weight:bold}.gs_ctg{color:#1a0dab}a.gs_pda,.gs_pda a{padding:7px 0 5px 0}.gs_alrt{background:#f9edbe;border:1px solid #f0c36d;padding:0 16px;text-align:center;box-shadow:0 2px 4px rgba(0,0,0,.2);border-radius:2px;}.gs_alrt:empty{display:none;}.gs_spc{display:inline-block;width:12px}.gs_br{width:0;font-size:0}.gs_ibl{display:inline-block;}.gs_scl:after{content:"";display:table;clear:both;}.gs_ind{padding-left:8px;text-indent:-8px}.gs_ico,.gs_icm{display:inline-block;background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png);background-position:-23px -161px;background-size:169px;width:21px;height:21px;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){.gs_ico,.gs_icm{background-image:url(/intl/en/scholar/images/2x/sprite_20161020.png);}}.gs_el_ta .gs_nta,.gs_ota,.gs_el_ph .gs_nph,.gs_oph{display:none}.gs_el_ta .gs_ota,.gs_el_ph .gs_oph{display:inline}.gs_el_ta div.gs_ota,.gs_el_ph div.gs_oph{display:block}.gs_sth_g{visibility:hidden;max-height:0;}.gs_sth_vis .gs_sth_g{max-height:1000px;}.gs_sth_vis .gs_sth_b{position:fixed;top:0;}.gs_sth_trk .gs_sth_b{position:absolute;top:auto;}@keyframes gs_anm_spin{0%{transform:rotate(0deg);}100%{transform:rotate(360deg);}}.gs_invis{visibility:hidden;}.gs_rimg{display:block;background-color:#e5e5e5;border-radius:50%;overflow:hidden;position:relative;z-index:1;}.gs_rimg>img{position:absolute;margin:auto;left:0;top:0;bottom:0;right:0;}.gs_in_txtw{display:inline-block;vertical-align:middle;}.gs_in_txtb{display:block;}.gs_in_txt{color:#000;background-color:#fff;font-size:16px;box-sizing:border-box;height:29px;line-height:23px;border:1px solid #d9d9d9;border-top-color:#c0c0c0;padding:3px 6px 1px 8px;border-radius:1px;outline:none;-webkit-appearance:none;-moz-appearance:none;}.gs_el_tc .gs_in_txt{font-size:18px;}.gs_in_txtb .gs_in_txt{width:100%;}.gs_in_rnd .gs_in_txt{border-radius:14.5px;padding:3px 12px 1px 12px;}.gs_in_txt:hover{border-color:#b9b9b9;border-top-color:#a0a0a0;box-shadow:inset 0 1px 2px rgba(0,0,0,.1);}.gs_in_txte .gs_in_txt{border-color:#dd4b39;}.gs_in_txt:focus{border-color:#4d90fe;box-shadow:inset 0 1px 2px rgba(0,0,0,.3);}.gs_in_txt:disabled{color:#b8b8b8;border-color:#f1f1f1;box-shadow:none;}.gs_in_txtm .gs_in_txt{font-size:13px;height:24px;line-height:16px;padding:3px 6px;}.gs_in_txtm.gs_in_rnd .gs_in_txt{border-radius:12px;}.gs_el_tc .gs_in_txtm .gs_in_txt{height:29px;line-height:21px;}.gs_el_tc .gs_in_txtm.gs_in_rnd .gs_in_txt{border-radius:14.5px;}.gs_in_txtl .gs_in_txt{height:41px;padding:9px 43px;}.gs_in_txtl.gs_in_rnd .gs_in_txt{border-radius:20.5px;}.gs_in_txts{font-size:13px;line-height:18px;color:#666;}.gs_in_txts:not(:empty){margin-top:2px;}.gs_in_txte .gs_in_txts{color:#dd4b39;}button{position:relative;z-index:1;box-sizing:border-box;font-size:13px;cursor:pointer;height:29px;line-height:normal;min-width:72px;padding:0 8px;color:#444;border:1px solid rgba(0,0,0,.1);border-radius:3px;text-align:center;background-color:#f5f5f5;-ms-user-select:none;user-select:none;}button.gs_btn_rnd{border-radius:14px;padding:0 12px;}button.gs_btn_rnd.gs_btn_rndci{padding-left:4px;}button.gs_btn_lrge{height:41px;min-width:82px;padding:0 9px;}button.gs_btn_lrge.gs_btn_lrge_asym{padding-left:5px;padding-right:8px;}button.gs_btn_lrge.gs_btn_rnd{border-radius:20px;padding:0 16px;}button.gs_btn_lrge.gs_btn_rnd.gs_btn_rndci{padding-left:10px;}button.gs_btn_cir{border-radius:14.5px;min-width:29px;}button.gs_btn_lrge.gs_btn_cir{border-radius:20.5px;min-width:41px;}button.gs_btn_mini{padding:0;border:0;}.gs_el_ph button.gs_btn_mph,.gs_el_ta button.gs_btn_mta{height:41px;}button .gs_wr{position:relative;display:inline-block;width:100%;height:100%;}button .gs_wr:before{content:"";width:0;height:100%;}button .gs_wr:before,button .gs_ico,button .gs_rdt,button .gs_lbl,button .gs_icm{display:inline-block;vertical-align:middle;}button .gs_wr{font-size:13px;text-transform:none;}.gs_btn_lrge .gs_wr{font-size:15px;}.gs_btn_lsb .gs_wr{font-size:11px;font-weight:bold;}.gs_btn_lsu .gs_wr{font-size:11px;text-transform:uppercase;}.gs_btn_lrge.gs_btn_lsb .gs_wr,.gs_btn_lrge.gs_btn_lsu .gs_wr,.gs_btn_lrge.gs_btn_lrge_asym .gs_wr{font-size:13px;}.gs_btn_half,.gs_el_ta .gs_btn_hta,.gs_el_ph .gs_btn_hph{min-width:36px;}.gs_btn_lrge.gs_btn_half,.gs_el_ta .gs_btn_lrge.gs_btn_hta,.gs_el_ph .gs_btn_lrge.gs_btn_hph,.gs_el_ta .gs_btn_mta,.gs_el_ph .gs_btn_mph{min-width:41px;}.gs_btn_slt{border-radius:3px 0 0 3px;}.gs_btn_srt{margin-left:-1px;border-radius:0 3px 3px 0;}.gs_btn_smd{margin-left:-1px;border-radius:0;}button:hover{z-index:2;color:#222;border-color:rgba(0,0,0,.2);background-color:#f8f8f8;}button.gs_sel{background-color:#dcdcdc;}button:active{z-index:2;background-color:#f1f1f1;}button:focus{z-index:2;}button::-moz-focus-inner{padding:0;border:0}button:-moz-focusring{outline:1px dotted ButtonText}.gs_pfcs button:-moz-focusring{outline:none}a.gs_in_ib{position:relative;display:inline-block;line-height:16px;padding:6px 0 7px 0;-ms-user-select:none;user-select:none;}a.gs_btn_lrge{height:40px;padding:0;}a.gs_in_bgcw{min-width:41px;}a.gs_btn_lrge.gs_in_bgcw:before{position:absolute;content:"";height:29px;width:29px;top:6px;left:6px;background-color:#fff;box-shadow:0 1px 3px rgb(0,0,0,.4);border-radius:50%;}a.gs_in_bgcw:hover:before{background-color:#f5f5f5;}a.gs_in_bgcw:active:before{background-color:#e5e5e5;}a.gs_in_bgcw.gs_dis:before{background-color:#fff;}a.gs_in_ib .gs_lbl{display:inline-block;padding-left:21px;color:#222;}a.gs_in_ib.gs_in_gray .gs_lbl{color:#444;}a.gs_in_ib .gs_lbl:not(:empty){padding-left:29px;}button.gs_in_ib .gs_lbl:not(:empty){padding-left:4px;}a.gs_in_ib:active .gs_lbl,a.gs_in_ib .gs_lbl:active,a.gs_in_ib :active~.gs_lbl{color:#d14836;}.gs_el_ta .gs_btn_hta .gs_lbl,.gs_el_ph .gs_btn_hph .gs_lbl,.gs_el_ta .gs_btn_mta .gs_lbl,.gs_el_ph .gs_btn_mph .gs_lbl,.gs_el_ta .gs_btn_cta .gs_lbl,.gs_el_ph .gs_btn_cph .gs_lbl{display:none;}a.gs_in_ib .gs_ico{position:absolute;top:3px;left:0;}.gs_in_ib.gs_md_li .gs_ico{left:14px;}.gs_el_tc .gs_in_ib.gs_md_li .gs_ico{top:11px;}.gs_in_ib.gs_md_li.gs_md_lix .gs_ico{top:10px;left:16px;}a.gs_btn_lrge .gs_ico{top:50%;left:50%;margin:-10.5px 0 0 -10.5px;}.gs_in_ib .gs_ico{opacity:.55;}.gs_in_ib:hover .gs_ico{opacity:.72;}.gs_in_ib:active .gs_ico,.gs_in_ib .gs_ico:active,.gs_in_ib :active~.gs_ico{opacity:1;}.gs_in_ib:disabled .gs_ico,.gs_in_ib.gs_dis .gs_ico{opacity:.28;}.gs_in_ib.gs_btn_act .gs_ico,.gs_in_ib.gs_btn_cre .gs_ico{opacity:1;}.gs_btn_act:disabled .gs_ico,.gs_btn_cre:disabled .gs_ico{opacity:.72;}.gs_rdt{position:relative;width:0;height:21px;}a.gs_in_ib .gs_rdt{left:21px;}.gs_rdt:before{content:"";position:absolute;top:1px;right:0;width:5px;height:5px;border:1px solid #fff;border-radius:50%;background-color:#dd4b39;}.gs_notf{display:inline-block;vertical-align:top;margin-left:8px;width:16px;line-height:16px;background-color:#d14836;border-radius:50%;color:#fff;text-align:center;font-size:9px;font-weight:bold;}.gs_notf:empty{display:none;}.gs_ind .gs_notf{text-indent:0;}button.gs_btn_flat{border-color:transparent;background-color:transparent;}button.gs_btn_olact{color:#4d90fe;background-color:transparent;}button.gs_btn_flat:hover,button.gs_btn_olact:hover{background-color:rgba(0,0,0,.05);}button.gs_btn_flat:active,button.gs_btn_olact:active{background-color:rgba(0,0,0,.1);}button.gs_btn_flat.gs_btn_flact{color:#1a0dab;}button.gs_btn_act{color:#fff;background-color:#4d90fe;}button.gs_btn_act:hover{color:#fff;background-color:#3983fe;}button.gs_btn_act.gs_sel{background-color:#2f6bcc;}button.gs_btn_act:active{background-color:#357ae8;}button.gs_btn_cre{color:#fff;background-color:#d14836;}button.gs_btn_cre:hover{color:#fff;background-color:#c53727;}button.gs_btn_cre.gs_sel{background-color:#992b1e;}button.gs_btn_cre:active{background-color:#b0281a;}button.gs_btn_hov_nobg:hover,button.gs_btn_hov_nobg:active{border:none;background:transparent;}button:disabled,button:disabled:hover,button:disabled:active{cursor:default;color:#b8b8b8;border-color:rgba(0,0,0,.05);background-color:transparent;z-index:0;}button.gs_btn_flat:disabled{color:#b8b8b8;border-color:transparent;}button.gs_btn_act:disabled{color:#fff;background-color:#a6c8ff;}button.gs_btn_cre:disabled{color:#fff;background-color:#e8a49b;}a.gs_in_ib.gs_dis{cursor:default;pointer-events:none}a.gs_in_ib.gs_dis .gs_lbl{color:#b8b8b8;text-decoration:none}.gs_ttp{position:absolute;top:100%;right:50%;z-index:10;pointer-events:none;visibility:hidden;opacity:0;transition:visibility 0s .13s,opacity .13s ease-out;}button:hover .gs_ttp,button:focus .gs_ttp,a:hover .gs_ttp,a:focus .gs_ttp{transition:visibility 0s .3s,opacity .13s ease-in .3s;visibility:visible;opacity:1;}.gs_md_tb.gs_sel .gs_ttp{transition:none;visibility:hidden;}button.gs_btn_lrge.gs_btn_cir .gs_ttp{top:75%;}.gs_ttp .gs_aro,.gs_ttp .gs_aru{position:absolute;top:-2px;right:-5px;width:0;height:0;line-height:0;font-size:0;border:5px solid transparent;border-top:none;border-bottom-color:#595959;z-index:1;}.gs_ttp .gs_aro{top:-3px;right:-6px;border-width:6px;border-top:none;border-bottom-color:white;}.gs_ttp .gs_txt{display:block;position:relative;top:2px;right:-50%;padding:4px 6px;background:#595959;color:white;font-size:11px;font-weight:bold;line-height:normal;white-space:nowrap;border:1px solid white;border-radius:3px;box-shadow:inset 0 1px 4px rgba(0,0,0,.2);}.gs_press,.gs_in_se,.gs_tan{touch-action:none;}.gs_in_se .gs_lbl:not(:empty){padding-right:14px;}.gs_in_se .gs_icm{position:absolute;top:50%;margin-top:-5.5px;right:0;width:7px;height:11px;background-position:-21px -88px;opacity:.55;}.gs_in_se:hover .gs_icm{opacity:.72;}.gs_in_se:active .gs_icm{opacity:1;}.gs_in_se:disabled .gs_icm{opacity:.28;}.gs_el_ta .gs_btn_hta .gs_icm,.gs_el_ph .gs_btn_hph .gs_icm,.gs_el_ta .gs_btn_mta .gs_icm,.gs_el_ph .gs_btn_mph .gs_icm,.gs_el_ta .gs_btn_cta .gs_icm,.gs_el_ph .gs_btn_cph .gs_icm{display:none;}.gs_btn_mnu .gs_icm{margin-top:-3.5px;height:7px;background-position:0 -110px;}.gs_in_se.gs_btn_act .gs_icm,.gs_in_se.gs_btn_cre .gs_icm{margin-top:-3.5px;height:7px;background-position:-42px -44px;opacity:1;}.gs_btn_act:disabled .gs_icm,.gs_btn_cre:disabled .gs_icm{opacity:.72;}button.gs_btnG .gs_ico{width:21px;height:21px;background-position:-92px -253px;}button .gs_bs{position:absolute;top:50%;left:50%;margin-top:-10px;margin-left:-10px;box-sizing:border-box;width:20px;height:20px;border-radius:50%;border:2px solid #eee;border-top-color:#4d90fe;visibility:hidden;animation:gs_anm_spin .8s linear infinite;}button.gs_bsp .gs_bs{visibility:visible;transition:visibility 0s .4s;}.gs_md_d{text-transform:none;white-space:nowrap;position:absolute;top:0;left:0;border:1px solid #ccc;border-color:rgba(0,0,0,.2);background:#fff;box-shadow:0 2px 4px rgba(0,0,0,.2);z-index:1100;text-align:left;visibility:hidden;max-height:0;margin-top:-1000px;opacity:0;transition:opacity .13s,visibility 0s .13s,max-height 0s .13s,margin-top 0s .13s;}.gs_md_d.gs_vis{visibility:visible;max-height:10000px;margin-top:0;opacity:1;transition:all 0s;}.gs_el_tc .gs_md_d{transform-origin:100% 0;transform:scale(1,0);transition:opacity .218s ease-out,transform 0s .218s,visibility 0s .218s,max-height 0s .218s,margin-top 0s .218s;}.gs_el_tc .gs_md_d.gs_ttzi{transform-origin:50% 50%;transform:scale(0,0);}.gs_el_tc .gs_md_d.gs_ttzr{transform:scale(0,0);}.gs_el_tc .gs_md_d.gs_vis{transform:scale(1,1);transition:transform .218s ease-out;}.gs_md_r{position:relative;display:inline-block;}.gs_md_rmb>.gs_md_d{top:29px}.gs_md_rmbl>.gs_md_d{top:41px}.gs_md_ul{list-style-type:none;word-wrap:break-word;display:inline-block;vertical-align:top;}.gs_md_ul.gs_md_ul_tb{display:block;}.gs_md_li,.gs_in_cb.gs_md_li,.gs_md_li:link,.gs_md_li:visited{display:block;padding:6px 44px 6px 16px;font-size:13px;line-height:16px;color:#222;cursor:pointer;text-decoration:none;position:relative;z-index:0;}a.gs_md_li:hover .gs_lbl,a.gs_md_li:active .gs_lbl{text-decoration:none}.gs_el_tc .gs_md_li{padding-top:14px;padding-bottom:10px;}.gs_md_li.gs_md_lix{font-size:16px;line-height:20px;padding:12px 16px 8px 16px;}.gs_md_li:before{content:"";background-color:#f1f1f1;position:absolute;left:0;right:0;top:0;bottom:0;opacity:0;transition:opacity .13s;z-index:-1;}.gs_md_li:hover:before,.gs_md_li:focus:before{opacity:1;transition:all 0s;}a.gs_in_ib.gs_md_li .gs_lbl{color:#222}a.gs_in_ib.gs_md_li.gs_in_gray .gs_lbl{color:#444}.gs_md_li:active:before{background-color:#ddd}.gs_md_li.gs_sel,a.gs_in_ib.gs_md_li.gs_sel .gs_lbl{color:#d14836}.gs_md_d:focus,.gs_md_li:focus{outline:none}a.gs_md_lix .gs_lbl,a.gs_md_lix .gs_lbl:not(:empty){padding:0 0 0 40px;}a.gs_in_cb:link,a.gs_in_cb:visited,a.gs_in_cb:active,a.gs_in_cb:hover{cursor:pointer;color:#222;text-decoration:none;}.gs_in_cb,.gs_in_ra{position:relative;line-height:16px;display:inline-block;-ms-user-select:none;user-select:none;}.gs_in_cb.gs_md_li{padding:6px 44px 6px 16px;}.gs_in_cb input,.gs_in_ra input{position:absolute;top:1px;left:1px;width:15px;height:15px;margin:0;padding:0;opacity:0;z-index:2;}.gs_in_ra input{top:0;left:0}.gs_el_tc .gs_in_cb input{top:9px}.gs_el_tc .gs_in_ra input{top:8px}.gs_in_cb.gs_in_cbj input{top:15px;left:15px}.gs_in_cb label,.gs_in_cb .gs_lbl,.gs_in_ra label{display:inline-block;padding-left:21px;min-height:16px;}.gs_in_ra_lrge{font-size:15px;}.gs_in_cb label:empty:before,.gs_in_cb .gs_lbl:empty:before,.gs_in_ra label:empty:before{content:"\200b";}.gs_el_tc .gs_in_cb label,.gs_el_tc .gs_in_cb .gs_lbl,.gs_el_tc .gs_in_ra label{padding-top:8px;padding-bottom:5px;}.gs_in_cb.gs_in_cbj label,.gs_in_cb.gs_in_cbj .gs_lbl{padding:13px 0 12px 41px;}.gs_in_cbb,.gs_in_cbb label,.gs_in_cbb .gs_lbl{display:block;}.gs_in_cb .gs_cbx,.gs_in_ra .gs_cbx{position:absolute}.gs_in_cb .gs_cbx{top:2px;left:2px;width:11px;height:11px;border:1px solid #c6c6c6;border-radius:1px;}.gs_md_li .gs_cbx{top:8px;left:18px}.gs_el_tc .gs_in_cb .gs_cbx{top:10px}.gs_el_tc .gs_md_li .gs_cbx{top:16px}.gs_in_cb.gs_in_cbj .gs_cbx{top:15px;left:15px}.gs_el_tc .gs_in_ra .gs_cbx{top:8px}.gs_in_ra .gs_cbx{top:0;left:0;border:1px solid #c6c6c6;width:13px;height:13px;border-radius:7px;}.gs_in_cb:hover .gs_cbx,.gs_in_ra:hover .gs_cbx{border-color:#666;box-shadow:inset 0 1px 1px rgba(0,0,0,.1);}button.gs_in_cb:hover .gs_cbx{border-color:#c6c6c6;}.gs_in_cb :focus~label,.gs_in_ra :focus~label{outline:1px dotted #222;}.gs_pfcs .gs_in_cb :focus~label,.gs_pfcs .gs_in_ra :focus~label{outline:none;}.gs_in_cb:active .gs_cbx,.gs_in_ra:active .gs_cbx,.gs_in_cb .gs_cbx:active,.gs_in_ra .gs_cbx:active,.gs_in_cb :active~.gs_cbx,.gs_in_ra :active~.gs_cbx{border-color:#666;background-color:#ebebeb;}button.gs_in_cb:active .gs_cbx{border-color:#a6a6a6;}.gs_in_cb :disabled~.gs_cbx,.gs_in_ra :disabled~.gs_cbx,button.gs_in_cb:disabled .gs_cbx{border-color:#f1f1f1;box-shadow:none;}.gs_in_cb :disabled~label,.gs_in_ra :disabled~label{color:#b8b8b8;}.gs_in_cb.gs_err .gs_cbx{border-color:#eda29b;}.gs_in_cb .gs_chk,.gs_in_ra .gs_chk{position:absolute;z-index:1;top:-3px;left:-2px;width:21px;height:21px;}.gs_md_li .gs_chk{top:3px;left:14px}.gs_el_tc .gs_in_cb .gs_chk{top:5px}.gs_el_tc .gs_md_li .gs_chk{top:11px}.gs_in_cb.gs_in_cbj .gs_chk{top:10px;left:11px}.gs_in_ra .gs_chk{top:4px;left:4px;width:7px;height:7px;border-radius:4px;}.gs_el_tc .gs_in_ra .gs_chk{top:12px}.gs_in_cb input:checked~.gs_chk,.gs_in_cb.gs_sel .gs_chk{background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png) -69px -67px;opacity:.62;}.gs_in_ra input:checked~.gs_chk{background-color:#666}.gs_in_cb.gs_par .gs_chk{background:no-repeat url(/intl/en/scholar/images/1x/sprite_20161020.png) -21px -44px;opacity:.55;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){.gs_in_cb input:checked~.gs_chk,.gs_in_cb.gs_sel .gs_chk,.gs_in_cb.gs_par .gs_chk{background-image:url(/intl/en/scholar/images/2x/sprite_20161020.png);background-size:169px;}}.gs_in_cb input:checked:disabled~.gs_chk{opacity:.22}.gs_in_ra input:checked:disabled~.gs_chk{background-color:#f1f1f1}.gs_in_cb.gs_bsp .gs_cbx{top:6px;left:16px;border-radius:6px;border-width:3px;animation:gs_cbx_spn .5s infinite linear;}.gs_el_tc .gs_in_cb.gs_md_li.gs_bsp .gs_cbx{top:14px}.gs_in_cb .gs_csp{background:url('/intl/en/scholar/images/spinner.gif') no-repeat;position:absolute;height:25px;width:25px;top:2px;left:12px;display:none;animation:gs_cbx_ah 9s infinite;}.gs_in_cb.gs_bsp .gs_csp{display:block}.gs_el_tc .gs_md_li .gs_csp{top:10px}@keyframes gs_cbx_spn{0%,100%{border-color:#4d90fe #c6c6c6 #c6c6c6 #c6c6c6}40%{border-color:#c6c6c6 #4d90fe #c6c6c6 #c6c6c6}50%{border-color:#c6c6c6 #c6c6c6 #4d90fe #c6c6c6}60%{border-color:#c6c6c6 #c6c6c6 #c6c6c6 #4d90fe}}@keyframes gs_cbx_ah{0%,100%{visibility:hidden}}.gs_ico_x{background-position:-113px -22px;opacity:.55;}.gs_ico_x:hover{opacity:.72;}.gs_ico_x:active{opacity:1;}.gs_ico_X{background-position:-71px 0;opacity:.55;}.gs_ico_X:hover{opacity:.72;}.gs_ico_X:active{opacity:1;}.gs_btnX .gs_ico{background-position:-71px 0;}.gs_el_tc .gs_ico_Xt{background-origin:content-box;background-clip:content-box;padding:10px 6px 10px 14px;}.gs_ico_P{background-position:0 0;opacity:.55;}.gs_ico_P:hover{opacity:.72;}.gs_ico_P:active{opacity:1;}.gs_btnP .gs_ico{background-position:-21px 0;}.gs_btnC .gs_ico{background-position:0 -66px;}.gs_btnL .gs_ico{background-position:-92px -44px;}.gs_ico_LB{background-position:-50px -44px;height:16px;}.gs_btnJ .gs_ico{background-position:-92px -22px;}.gs_btnM .gs_ico{background-position:-92px 0;}.gs_btnMW .gs_ico{background-position:-21px -22px;}.gs_btnSB .gs_ico{background-position:0 -44px;}.gs_btnTSB .gs_ico{background-position:-115px -253px;}.gs_btnPL .gs_ico{background-position:-148px -66px;}.gs_btnPR .gs_ico{background-position:-21px -66px;}.gs_btnPLW .gs_ico{background-position:-0 -230px;}.gs_btnPRW .gs_ico{background-position:-23px -230px;}.gs_btnZI .gs_ico{background-position:-148px -22px;}.gs_btnZO .gs_ico{background-position:-127px -44px;}.gs_btnDE .gs_ico{background-position:-134px 0;}.gs_btnFI .gs_ico{background-position:-50px -66px;}.gs_btnAD .gs_ico{background-position:-141px -88px;opacity:.55;}.gs_btnAD:hover .gs_ico{opacity:.72;}.gs_btnAD:active .gs_ico,.gs_btnAD .gs_ico:active,.gs_btnAD :active~.gs_ico{opacity:1;}.gs_btnBA .gs_ico{background-position:-50px -22px;}.gs_btnADD .gs_ico{background-position:-92px -66px;}.gs_btnMRG .gs_ico{background-position:-113px 0;}.gs_btnLBL .gs_ico{background-position:0 -161px;}.gs_btnCNCL .gs_ico{background-position:-71px 0;}.gs_btnDWL .gs_ico{background-position:-28px -88px;}.gs_btnMNU .gs_ico{background-position:0 -88px;}.gs_btnMNT .gs_ico{background-position:-46px -161px;}.gs_btnALT .gs_ico{background-position:-92px -161px;}.gs_btnART .gs_ico{background-position:-115px -161px;}.gs_btnGSL .gs_ico{background-position:-69px -161px;}.gs_btnCLS .gs_ico{background-position:-138px -161px;}.gs_btnXBLU .gs_ico{background-position:-138px -253px;}.gs_btnSSB .gs_ico{background-position:0 -276px;}.gs_btnSSW .gs_ico{background-position:-23px -276px;}.gs_btnFLT .gs_ico{background-position:0 -184px;}.gs_btnXT .gs_ico{background-position:-46px -184px;}.gs_btnPD .gs_ico{background-position:-69px -184px;}.gs_btnPU .gs_ico {background-position:-92px -276px;}.gs_btnCP .gs_ico{background-position:-92px -184px;}.gs_btnTP .gs_ico{background-position:-138px -184px;}.gs_btnML .gs_ico{background-position:-115px -276px;}.gs_btnCHK .gs_ico{background-position:-71px -66px;}.gs_btnDNB .gs_ico{background-position:-115px -230px;}.gs_btnDNW .gs_ico{background-position:0 -207px;}.gs_btnACA .gs_ico{background-position:-23px -207px;}.gs_btnAPT .gs_ico{background-position:-46px -207px;}.gs_btnAPTW .gs_ico{background-position:-92px -230px;}.gs_btnAFL .gs_ico{background-position:-69px -207px;}.gs_btnAN .gs_ico{background-position:-46px -276px;}.gs_btnAI .gs_ico{background-position:-69px -276px;}.gs_btnPBL .gs_ico{background-position:-92px -207px;}.gs_btnUCT .gs_ico{background-position:-115px -207px;}.gs_btnVRF .gs_ico{background-position:-138px -207px;}.gs_btnLSI .gs_ico{background-position:-46px -230px;}.gs_btnLSG .gs_ico{background-position:-69px -230px;}.gs_btnMOR .gs_ico{background-position:-23px -253px;}.gs_btnADV .gs_ico{background-position:-46px -253px;}.gs_btnPRO .gs_ico{background-position:-69px -253px;}.gs_ico_star{background-position:-71px -44px;width:13px;height:13px;}.gs_btnPLSW .gs_ico{background-position:-138px -230px;}.gs_btnPDF .gs_ico{background-position:0 -253px;}.gs_btnS .gs_ico{background-position:-138px -276px;}.gs_btnUNS .gs_ico{background-position:0 -299px;}.gs_btnMORR .gs_ico{background-position:-23px -299px;}.gs_btnTW .gs_ico{background-position:-46px -299px;}.gs_btnIN .gs_ico{background-position:-69px -299px;}.gs_btnFB .gs_ico{background-position:-92px -299px;}.gs_btnET .gs_ico{background-position:-115px -299px;}.gs_btnARC .gs_ico{background-position:-138px -299px;}.gs_btnOL .gs_ico{background-position:0px -322px;}.gs_btnFA .gs_ico{background-position:-23px -322px;}.gs_btnFAD .gs_ico{background-position:-46px -322px;}.gs_btnHP .gs_ico{background-position:-69px -322px;}.gs_btnPLM .gs_ico{background-position:-92px -322px;}.gs_btnPRM .gs_ico{background-position:-115px -322px;}.gs_btnRN .gs_ico{background-position:-138px -322px;}.gs_btnVF .gs_ico{background-position:0px -345px;}.gs_btnVP .gs_ico{background-position:-23px -345px;}.gs_btnSRT .gs_ico{background-position:-46px -345px;}#gs_md_s.gs_hdr_drs{transition:opacity .15s,visibility 0s .15s;}#gs_md_s.gs_hdr_drs.gs_vis{transition:opacity .15s,visibility 0s;}.gs_el_tc #gs_md_s.gs_hdr_drs{transition:opacity .218s,visibility 0s .218s;}.gs_el_tc #gs_md_s.gs_hdr_drs.gs_vis{transition:opacity .218s,visibility 0s;}#gs_hdr_drw{position:fixed;top:0;left:0;height:100%;z-index:1200;visibility:hidden;overflow:auto;width:228px;background-color:#fff;box-shadow:2px 2px 4px rgba(0,0,0,.15);outline:none;transform:translate(-100%,0);transition:transform .15s ease-in-out,visibility 0s .15s;}#gs_hdr_drw.gs_vis{visibility:visible;transform:translate(0,0);transition:transform .15s ease-in-out,visibility 0s;}.gs_el_tc #gs_hdr_drw{transition:transform .3s cubic-bezier(.4,0,.6,1),visibility 0s .3s;}.gs_el_tc #gs_hdr_drw.gs_vis{transition:transform .225s cubic-bezier(0,0,.2,1),visibility 0s;}#gs_top #gs_hdr_drw.gs_abt,#gs_top #gs_md_s.gs_abt{transition:none;}#gs_hdr_drw_in{position:relative;box-sizing:border-box;min-height:100%;padding:0 0 8px 0;}.gs_el_ta #gs_hdr_drw_in,.gs_el_ph #gs_hdr_drw_in{padding:0 0 65px 0;}#gs_hdr_drw_top{position:relative;height:63px;border-bottom:1px solid #e5e5e5;margin-bottom:8px;}.gs_el_ta #gs_hdr_drw_top,.gs_el_ph #gs_hdr_drw_top{height:57px;}#gs_hdr_drw_mnu,#gs_hdr_drw_lgo{position:absolute;top:0;height:100%;}#gs_hdr_drw_mnu{left:0;width:55px;}#gs_hdr_drw_lgo{left:56px;}.gs_hdr_drw_sec:before{display:block;content:" ";height:0;border-bottom:1px solid #e5e5e5;margin:8px 0;}.gs_hdr_drw_sec:first-child:before{display:none;}#gs_hdr_drw_bot{display:none;}.gs_el_ta #gs_hdr_drw_bot,.gs_el_ph #gs_hdr_drw_bot{display:block;position:absolute;left:0;bottom:0;width:100%;height:65px;}#gs_hdr_drw_bot .gs_md_li:before{opacity:0;}#gs_hdr_drw_bot .gs_hdr_pp{display:block;position:absolute;bottom:14px;left:15px;pointer-events:none;}#gs_hdr_drw_bot .gs_lbl{display:block;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;}#gs_hdr{position:relative;height:63px;background-color:#f5f5f5;border-bottom:1px solid #e5e5e5;display:flex;}.gs_el_ta #gs_hdr,.gs_el_ph #gs_hdr{height:57px;}#gs_hdr_mnu,#gs_hdr_bck,#gs_hdr_lgo,#gs_hdr_lgt,#gs_hdr_md,#gs_hdr_sre,#gs_hdr_act{display:inline-block;vertical-align:top;position:relative;height:100%;flex:0 0 auto;}#gs_hdr_md{flex:1 1 auto;}#gs_hdr .gs_hdr_mbo,#gs_hdr .gs_hdr_mbo,.gs_el_ta #gs_hdr .gs_hdr_dso,.gs_el_ph #gs_hdr .gs_hdr_dso{display:none;}.gs_el_ta #gs_hdr .gs_hdr_mbo,.gs_el_ph #gs_hdr .gs_hdr_mbo{display:inline-block;}#gs_hdr_mnu,#gs_hdr_bck,#gs_hdr_sre{width:55px;margin-right:1px;}#gs_hdr_lgo,#gs_hdr_drw_lgo{width:149px;background:no-repeat url('/intl/en/scholar/images/1x/scholar_logo_24dp.png') 0% 50%;background-size:149px;}@media(-webkit-min-device-pixel-ratio:1.5),(min-resolution:144dpi){#gs_hdr_lgo,#gs_hdr_drw_lgo{background-image:url('/intl/en/scholar/images/2x/scholar_logo_24dp.png');}}#gs_hdr_lgo{margin-right:31px;}.gs_el_ph #gs_hdr_lgo{margin-right:0;}#gs_hdr_lgt{min-width:164px;margin-right:16px;}#gs_hdr_md{margin-right:16px;min-width:1px;}#gs_hdr_lgt,#gs_hdr_md h1{padding:19px 0 0 0;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;font-size:20px;line-height:25px;font-weight:normal;color:#666;max-width:100%;text-align:left;}.gs_el_ta #gs_hdr_md h1,.gs_el_ph #gs_hdr_md h1{padding:16px 0 0 0;}#gs_hdr_srch{padding:14px 0 0 0;max-width:600px;}.gs_el_ta #gs_hdr_srch,.gs_el_ph #gs_hdr_srch{padding:10px 0 0 0;max-width:none;}#gs_hdr_frm{position:relative;padding-right:39px;}#gs_hdr_tsi{height:38px;border-radius:2px 0 0 2px;}#gs_hdr_tsi::-ms-clear{display:none;}#gs_hdr_tsc{display:none;position:absolute;top:3px;right:41px;width:21px;height:21px;padding:6px 10px 7px 10px;}.gs_in_acw[dir="rtl"]~#gs_hdr_tsc{right:auto;left:1px;}#gs_hdr_tsb{position:absolute;top:0;right:0;width:40px;height:38px;border-radius:0 2px 2px 0;}#gs_hdr_frm_ac{top:37px;right:40px;}.gs_el_ph #gs_hdr_frm_ac{right:0;}.gs_el_ph .gs_hdr_ifc #gs_hdr_mnu,.gs_el_ph .gs_hdr_ifc #gs_hdr_bck,.gs_hdr_src #gs_hdr_srch,.gs_hdr_src #gs_hdr_lgt,.gs_hdr_srx #gs_hdr_sre,.gs_hdr_srx #gs_hdr_md h1,.gs_hdr_srx #gs_hdr_md h1.gs_hdr_mbo,.gs_hdr_srx #gs_hdr_md h1.gs_hdr_dso,.gs_el_ta .gs_hdr_srx #gs_hdr_lgo,.gs_el_ph .gs_hdr_srx #gs_hdr_lgo,.gs_el_ph .gs_hdr_srx #gs_hdr_mnu,.gs_el_ph .gs_hdr_srx #gs_hdr_bck{display:none;}.gs_el_ph .gs_hdr_ifc #gs_hdr_md,.gs_el_ph .gs_hdr_srx #gs_hdr_md{margin-left:16px;}.gs_el_tc .gs_hdr_tsc #gs_hdr_tsi[dir="ltr"]{padding-right:41px;}.gs_el_tc .gs_hdr_tsc #gs_hdr_tsi[dir="rtl"]{padding-left:41px;}.gs_el_tc .gs_hdr_tsc .gs_in_acw~#gs_hdr_tsc{display:block;}#gs_hdr_act{min-width:64px;max-width:200px;text-align:right;float:right;}.gs_el_ta #gs_hdr_act,.gs_el_ph #gs_hdr_act{display:none;}#gs_hdr_act_i,#gs_hdr_act_s{display:inline-block;padding:23px 24px 23px 16px;max-width:100%;box-sizing:border-box;font-size:13px;line-height:17px;white-space:nowrap;overflow:hidden;text-overflow:ellipsis;color:#444;}#gs_hdr_act_s{text-transform:uppercase;}.gs_el_sm #gs_hdr_act_i,.gs_el_sm #gs_hdr_act_s{padding:23px 16px;}.gs_el_ta #gs_hdr_act_i,.gs_el_ta #gs_hdr_act_s,.gs_el_ph #gs_hdr_act_i,.gs_el_ph #gs_hdr_act_s{padding:20px 16px;}#gs_hdr_act_i:active,#gs_hdr_act_s:active{color:#d14836;}#gs_hdr_act_i,.gs_el_sm #gs_hdr_act_i{padding-top:15px;padding-bottom:16px;}.gs_el_ta #gs_hdr_act_i,.gs_el_ph #gs_hdr_act_i{padding-top:12px;padding-bottom:13px;}#gs_hdr_act_i .gs_hdr_pp{vertical-align:top;}#gs_hdr_act_d{top:63px;left:auto;right:24px;min-width:288px;max-width:400px;}.gs_el_sm #gs_hdr_act_d{right:16px;}.gs_el_ta #gs_hdr_act_d{top:57px;}.gs_el_ph #gs_hdr_act_d{top:57px;min-width:280px;max-width:280px;max-width:90vw;}/* Account dialog body. */#gs_hdr_act_aw,#gs_hdr_act_ap,.gs_hdr_act_am,#gs_hdr_act_ab{display:block;padding:10px 20px;word-wrap:break-word;white-space:normal;}#gs_hdr_act_aw{background-color:#fef9db;font-size:11px;}#gs_hdr_act_ap,.gs_hdr_act_am{border-bottom:1px solid #ccc;}#gs_hdr_act_ap{padding:20px;}.gs_el_ph #gs_hdr_act_ap{padding:10px;}#gs_hdr_act_apb{margin-top:12px;}#gs_hdr_act_aa:link,#gs_hdr_act_aa:visited{float:right;margin-left:8px;color:#1a0dab;}#gs_hdr_act_aa:active{color:#d14836}.gs_hdr_act_am:link,.gs_hdr_act_am:visited{color:#222;text-decoration:none;background:#fbfbfb;}.gs_hdr_act_am:hover,.gs_hdr_act_am:focus{background:#f1f1f1;}.gs_hdr_act_am:active{background:#eee;}#gs_hdr_act_ab{background:#fbfbfb;padding:10px 0;display:table;width:100%;white-space:nowrap;}#gs_hdr_act_aba,#gs_hdr_act_abs{display:table-cell;padding:0 20px;}#gs_hdr_act_abs{text-align:right;}.gs_el_ph #gs_hdr_act_aba,.gs_el_ph #gs_hdr_act_abs{display:block;padding:10px;text-align:center;}.gs_el_ph #gs_hdr_act_aba button,.gs_el_ph #gs_hdr_act_abs button{width:100%;}#gs_hdr_act_a1,#gs_hdr_act_a2{position:absolute;top:-9px;right:7.5px;width:0;height:0;z-index:1;border:8.5px solid transparent;border-top:none;border-bottom-color:#333;border-bottom-color:rgba(0,0,0,.2);}#gs_hdr_act_a2{top:-8px;border-bottom-color:#fff;}.gs_hdr_act_mw #gs_hdr_act_a2{border-bottom-color:#fef9db;}.gs_hdr_pp{border-radius:50%;overflow:hidden;}#gs_hdr_act_ap .gs_hdr_pp,.gs_hdr_act_am .gs_hdr_pp{float:left;}#gs_hdr_act_ap .gs_hdr_pm{margin-left:116px;}.gs_hdr_act_am .gs_hdr_pm{margin:6px 0 0 58px;}#gs_ab{position:relative;height:41px;border-bottom:1px solid #e5e5e5;display:flex;white-space:nowrap;background-color:#fff;z-index:1000;}.gs_el_ta #gs_ab.gs_nta,.gs_el_ph #gs_ab.gs_nph{display:none;}.gs_sth_vis #gs_ab{position:fixed;}#gs_ab_ico,#gs_ab_ttl,#gs_ab_md,#gs_ab_btns{display:inline-block;vertical-align:top;position:relative;height:100%;flex:0 0 auto;}.gs_el_ph #gs_ab_md{display:block;}#gs_ab_ico{width:55px;margin-right:1px;}#gs_ab_ico .gs_ico{position:absolute;top:50%;left:50%;margin:-10.5px 0 0 -10.5px;}#gs_ab_ttl{min-width:172px;padding-right:8px;}.gs_el_sm #gs_ab_ttl{min-width:68px;}.gs_el_ta #gs_ab_ttl,.gs_el_ph #gs_ab_ttl{min-width:0;}#gs_ab_ttl,#gs_ab_ttll{font-size:18px;color:#666;text-transform:none;}.gs_el_sm #gs_ab_ttl,.gs_el_sm #gs_ab_ttll{font-size:16px;}#gs_ab_ttll{overflow:hidden;text-overflow:ellipsis;max-width:200px;}#gs_ab_md{flex:1 0 auto;}.gs_ab_st #gs_ab_md{flex:1 1 auto;font-size:13px;line-height:17px;padding:0 8px;color:#999;overflow:hidden;text-overflow:ellipsis;}.gs_el_ph .gs_ab_st #gs_ab_md{visibility:hidden;padding:0;}#gs_ab_btns{margin-right:8px;}.gs_el_sm #gs_ab_btns{margin-right:0;}.gs_el_ta #gs_ab_btns,.gs_el_ph #gs_ab_btns{margin-right:4px;}#gs_ab_ttl:before,#gs_ab_md:before,#gs_ab_btns:before{content:"";display:inline-block;width:0;height:100%;vertical-align:middle;}#gs_ab_md>button,#gs_ab_btns>button,#gs_ab_md>.gs_in_ib,#gs_ab_btns>.gs_in_ib,#gs_ab_md>.gs_md_r,#gs_ab_btns>.gs_md_r,#gs_ab .gs_ab_mdw,#gs_ab .gs_ab_btw{margin:0 8px;vertical-align:middle;}#gs_ab .gs_ab_mdw,.gs_ab_btw{display:inline-block;margin:0;}#gs_ab_btns>.gs_in_ib{margin:0 16px 0 8px;}#gs_ab .gs_ab_btw{margin:0 12px 0 16px;}.gs_el_ta .gs_ab_sel #gs_ab_ico,.gs_el_ph .gs_ab_sel #gs_ab_ico,.gs_el_ta .gs_ab_sel #gs_ab_ttl,.gs_el_ph .gs_ab_sel #gs_ab_ttl,.gs_el_ta .gs_ab_sel #gs_ab_btns,.gs_el_ph .gs_ab_sel #gs_ab_btns{display:none;}#gs_bdy{display:table;table-layout:fixed;width:100%;}#gs_bdy_sb{vertical-align:top;width:228px;word-wrap:break-word;display:table-cell;}.gs_el_sm #gs_bdy_sb{}.gs_el_ta #gs_bdy_sb,.gs_el_ph #gs_bdy_sb{display:none;}.gs_bdy_sb_sec{margin:0 40px 0 56px;}.gs_bdy_sb_sec:before{display:block;content:" ";height:0;margin:13px 0;border-top:1px solid #eee;}.gs_bdy_sb_sec:first-child:before{margin:21px 0 0 0;border:none;}#gs_bdy_sb ul{list-style-type:none;}.gs_bdy_sb_sec a:link,.gs_bdy_sb_sec a:visited{color:#222;}.gs_bdy_sb_sec a:active{color:#d14836;}.gs_bdy_sb_sel a:link,.gs_bdy_sb_sel a:visited{color:#d14836;text-decoration:none;}.gs_el_tc .gs_bdy_sb_sec li.gs_ind,.gs_el_tc .gs_bdy_sb_sec li.gs_ind a{padding-top:8px;padding-bottom:5px;}.gs_el_tc .gs_bdy_sb_sec:first-child li.gs_ind:first-child{margin-top:-8px;}#gs_bdy_sb .gs_ind,#gs_bdy_sb .gs_inw{margin-bottom:6px;}.gs_el_tc #gs_bdy_sb .gs_ind,.gs_el_tc #gs_bdy_sb .gs_inw{margin-bottom:0;}#gs_bdy_ccl{display:table-cell;vertical-align:top;padding:0 24px 0 16px;}.gs_el_sm #gs_bdy_ccl{padding:0 16px;}.gs_el_ta #gs_bdy_ccl,.gs_el_ph #gs_bdy_ccl{padding:0 16px 0 56px;}.gs_el_ph #gs_bdy_ccl{padding:0 16px;padding:0;}#gs_ftr_sp{height:62px;}.gs_el_sm #gs_ftr_sp{height:57px;}#gs_ftr{position:absolute;bottom:0;left:0;width:100%;white-space:nowrap;border-top:1px solid #e4e4e4;background-color:#f2f2f2;display:flex;}#gs_ftr.gs_pfix{position:fixed;}#gs_ftr_rt{box-sizing:border-box;max-width:100%;overflow-x:auto;margin-left:auto;padding:0 12px;}.gs_el_sm #gs_ftr_rt{padding:0 8px;}.gs_el_ph #gs_ftr_rt:after{content:" ";position:absolute;top:0;right:0;width:16px;height:100%;background-image:linear-gradient(to right,rgba(242,242,242,0),rgba(242,242,242,1) 80%);}#gs_ftr_rt>a{display:inline-block;line-height:16px;padding:12px;white-space:nowrap;}.gs_el_sm #gs_ftr_rt>a{padding:12px 8px;}#gs_ftr_rt>a:link,#gs_ftr_rt>a:visited{color:#666}#gs_ftr_rt>a:active{color:#d14836}#gs_ftr_mnu{top:auto;bottom:48px;left:auto;right:24px;padding:8px 0;}.gs_el_sm #gs_ftr_mnu{right:16px;}#gsc_sb_ui{text-align:center;margin-bottom:16px;}#gsc_sb_ui img{max-width:120px;height:auto;}.gs_el_sm #gsc_sb_ui img{max-width:100px;}.gsc_sb_addl{text-align:right;padding:0 8px;color:#777777;min-width:60px;}#gsc_ccl{max-width:862px;margin:21px 0 0 0;}.gs_el_sm #gsc_ccl{margin:16px 0 0 0;}.gsc_art_mm{font-size:24px;line-height:16px;display:inline-block;margin:-10px 0 0 4px;position:relative;top:8px;}.gs_pp_tn,.gs_el_ta .gs_pp_mo_tn,.gs_el_ph .gs_pp_mo_tn{width:32px;height:32px;}.gs_pp_sm,.gs_el_ta .gs_pp_mo_sm,.gs_el_ph .gs_pp_mo_sm{width:56px;height:56px;}.gs_pp_nm,.gs_el_ta .gs_pp_mo_nm,.gs_el_ph .gs_pp_mo_nm{width:128px;height:128px;}#gsc_vcpb{max-width:870px;padding-top:21px;}.gs_el_ph #gsc_vcpb{padding:16px 8px;}#gsc_vcpb_btns{padding-bottom:16px;}#gsc_vcpb_btns:empty{display:none;}#gsc_vcpb_btns>button{margin-right:16px;}.gs_el_ph #gsc_vcpb_btns>button{margin-right:8px;}#gsc_oci_title_wrapper{font-size:16px;margin:0 0 16px 0;}#gsc_oci_title{font-size:20px;}.gs_el_sm #gsc_oci_title{font-size:18px;}#gsc_oci_title_gg{float:right;padding:0 0 8px 16px;}.gs_el_ph #gsc_oci_title_gg{float:none;text-align:right;padding:0;margin:-4px 0 8px 0;}.gsc_oci_title_ggt{font-size:13px;font-weight:bold;}.gsc_oci_title_ggut{font-size:13px;color:#777;padding-bottom:8px;}.gsc_oci_field{float:left;width:100px;text-align:right;color:#777;}.gs_el_ph .gsc_oci_field{float:none;width:auto;text-align:left;margin-bottom:4px;font-size:16px;color:black;}.gsc_oci_value{margin-left:116px;max-width:512px;margin-bottom:16px;}.gs_el_ph .gsc_oci_value{margin-left:0;}.gsc_oci_merged_snippet{margin-bottom:1em;}#gsc_oci_graph_wrapper{height:100px;overflow-x:auto;overflow-y:hidden;direction:rtl;}#gsc_oci_graph{position:relative;min-width:100%;}#gsc_oci_graph_x{position:absolute;top:57px;left:0;width:100%;height:13px;border-top:1px solid #777;}.gsc_oci_g_t{position:absolute;top:60px;color:#777;font-size:11px;}#gsc_oci_graph_bars{position:absolute;top:0;right:0;width:100%;height:100px;}.gsc_oci_g_a{position:absolute;bottom:13px;width:15px;background:#777;}.gsc_oci_g_a:hover{background:#1a0dab;text-decoration:none;}.gsc_oci_g_a:active{background:#d14836;}.gsc_oci_g_al{position:absolute;bottom:15px;left:7px;color:#222;background:white;text-align:center;font-size:11px;min-width:11px;padding:1px;border:1px solid #777;border-radius:1px;visibility:hidden;opacity:0;}.gsc_oci_g_a:hover .gsc_oci_g_al{visibility:visible;opacity:1;}.gsc_oci_g_a{transition:all .218s;}.gsc_oci_g_al{transition:opacity .218s,visibility 0s .218s;}.gsc_oci_g_a:hover,.gsc_oci_g_a:hover .gsc_oci_g_al{transition:all 0s;}a.gsc_oci_lbx:link,a.gsc_oci_lbx:visited{white-space:nowrap;display:inline-block;vertical-align:middle;font-size:11px;background-color:#e5e5e5;color:#777;padding:2px 6px;text-decoration:none;}a.gsc_oci_lbx:hover{color:#e5e5e5;background-color:#777;}a.gsc_oci_lbx:active{color:#d14836;}.gsc_oms_mm{font-size:24px;line-height:16px;display:inline-block;margin:-10px 0 0 4px;position:relative;top:8px;}.gsc_oms_link{white-space:nowrap;margin-right:12px;}.gsc_oms_link:last-child{margin-right:0;}.gs_fsvg line{stroke:#222222}a:link .gs_fsvg{fill:#1a0dab;}a:link .gs_fsvg line{stroke:#1a0dab;}a:visited .gs_fsvg{fill:#660099;}a:visited .gs_fsvg line{stroke:#660099;}a:active .gs_fsvg{fill:#d14836;}a:active .gs_fsvg line{stroke:#d14836;}a .gs_fsvg{border-bottom:1px solid transparent;}a:hover .gs_fsvg,a:focus .gs_fsvg{border-bottom-color:inherit;}.gs_fsml{font-size:13px}.gs_fscp{font-variant:small-caps}.gsh_clim{display:table-row}.gsh_clil,.gsh_clic{display:table-cell;padding-bottom:8px}.gsh_clil{padding-right:8px;}.gsh_lla{list-style-type:lower-alpha}.gsh_lua{list-style-type:upper-alpha}.gsh_llr{list-style-type:lower-roman}.gsh_lur{list-style-type:upper-roman}.gsh_l>li{margin-left:32px;}.gs_fma .gsh_l>li{margin-left:16px;}.gsh_h3{font-size:inherit;font-weight:normal}.gsh_h3,.gsh_csp{margin:16px 0}.gsh_h3+.gsh_csp{margin-top:-8px}.gs_fma .gsh_h3{margin:12px 0 0 0;font-size:15px;font-weight:bold;}.gs_fma_abs .gsh_csp{margin:0 0 12px 0;}.gs_fma b,.gs_fma .gsh_h3{color:#444;}.gs_fma .gsh_h3+.gsh_csp{margin:4px 0 0 0;}.gs_fma .gsh_csp:last-child,.gs_fma .gsh_h3.gsh_flh{margin:0;}.gs_fma ul .gsh_clim:last-child .gsh_clic{padding-bottom:0;}.gs_fma ul,.gs_fma ol{margin:12px 0;}.gsh_ovln{text-decoration:overline}.gsh_small .gsh_l .gsh_csp{margin:8px 0}.gsh_small .gsh_csp:first-child,.gsh_small .gsh_h3.gsh_flh{margin-top:0}.gsh_small .gsh_csp:last-child{margin-bottom:0}.gsh_dspfr{text-align:center}.gsh_dspfr svg{margin:8px 0}</style><script>!function(GSP){var 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),h=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})}}; h("Symbol",function(a){if(a)return a;var b=function(f,g){this.ba=f;ba(this,"description",{configurable:!0,writable:!0,value:g})};b.prototype.toString=function(){return this.ba};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 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},ka={};try{ka.__proto__=ia;ha=ka.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 la=fa,ma=function(a,b){a.prototype=ea(b.prototype);a.prototype.constructor=a;if(la)la(a,b);else for(var c in b)if(c!="prototype")if(Object.defineProperties){var d=Object.getOwnPropertyDescriptor(b,c);d&&Object.defineProperty(a,c,d)}else a[c]=b[c];a.qa=b.prototype};h("Symbol.dispose",function(a){return a?a:Symbol("Symbol.dispose")}); h("Math.trunc",function(a){return a?a:function(b){b=Number(b);if(isNaN(b)||b===Infinity||b===-Infinity||b===0)return b;var c=Math.floor(Math.abs(b));return b<0?-c:c}});var na=function(a){a=Math.trunc(a)||0;a<0&&(a+=this.length);if(!(a<0||a>=this.length))return this[a]};h("Array.prototype.at",function(a){return a?a:na});var n=function(a){return a?a:na};h("Int8Array.prototype.at",n);h("Uint8Array.prototype.at",n);h("Uint8ClampedArray.prototype.at",n);h("Int16Array.prototype.at",n); h("Uint16Array.prototype.at",n);h("Int32Array.prototype.at",n);h("Uint32Array.prototype.at",n);h("Float32Array.prototype.at",n);h("Float64Array.prototype.at",n);h("String.prototype.at",function(a){return a?a:na});/* Copyright The Closure Library Authors. SPDX-License-Identifier: Apache-2.0 */ var oa=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var d=c.slice();d.push.apply(d,arguments);return a.apply(this,d)}};var t=function(){this.C=this.C;this.H=this.H};t.prototype.C=!1;t.prototype.isDisposed=function(){return this.C};t.prototype.dispose=function(){this.C||(this.C=!0,this.K())};t.prototype[Symbol.dispose]=function(){this.dispose()};t.prototype.K=function(){if(this.H)for(;this.H.length;)this.H.shift()()};var pa=function(){};function u(a,b){a.classList.add(b)}function v(a,b){a.classList.remove(b)}function w(a,b){return a.classList?a.classList.contains(b):!1}function x(a,b,c){c=c!==void 0?c:!w(a,b);(c?u:v)(a,b)};function z(a){return(navigator.userAgent||"").indexOf(a)>=0}var qa=z("iPhone")||z("iPad")||z("iPod"),ra=z("iPhone")||z("Android")&&z("Mobile");function sa(){if(b===void 0){var a=window.screen;a={width:window.innerWidth,height:window.innerHeight,pa:a.width,oa:a.height}}else a=b;var b=a;a=b.width;var c=b.height,d=b.pa;b=b.oa;var e=4;if(a<600||d*b<48E4||ra)e=1;else if(a<982)e=2;else if(a<1136||c<590)e=3;return e}var ta,ua=/[?&]tc=([01])/.exec(location.search||""); ta=ua?+ua[1]>0:z("Android")?!0:window.matchMedia&&window.matchMedia("(pointer)").matches?window.matchMedia("(pointer:coarse)").matches:!z("Firefox")||z("Mobile")||z("Tablet")?qa||"ontouchstart"in window||(navigator.msMaxTouchPoints||0)>0:!1;function va(){if(wa==void 0){wa=!1;try{var a=Object.defineProperty({},"passive",{get:function(){wa=!0}});window.addEventListener("testPassive",pa,a);window.removeEventListener("testPassive",pa,a)}catch(b){}}return wa}var wa;var xa=new function(){this.aa="INPUT"};function D(a){return document.getElementById(a)}function E(a){return a.id||(a.id="gs_id"+ya++)}function za(a){a=(a===void 0?null:a)||document.body;return(a?window.getComputedStyle(a,null):null).direction=="rtl"}function Aa(a){var b=[];a=a.elements;for(var c=a.length,d=0;d<c;d++){var e=a[d],f=encodeURIComponent(e.name||""),g=e.type;!f||e.disabled||!(g!="checkbox"&&g!="radio"||e.checked)||b.push(f+"="+encodeURIComponent(e.value||""))}return b.join("&")} function Ba(a,b){var c=a.elements[b];c||(c=document.createElement(xa.aa),c.type="hidden",c.name=b,a.appendChild(c));return c}var ya=100,Ca=/\S+/g,Da=/^(?:https?:|[^:/?#]*(?:[/?#]|$))/i,Ea=/^(?:#|\/[a-z0-9_-]*(?:[?].*)?$)/i;function F(a){return a.hasOwnProperty("gs_uid")?a.gs_uid:a.gs_uid=++Ga}var Ga=0;var G=function(){this.o=[];this.F={};this.S=this.I=0};G.prototype.add=function(a){var b=F(a);this.F[b]||(this.o.push(a),this.F[b]=this.o.length,++this.I)};G.prototype.remove=function(a){a=F(a);var b=this.F[a];b&&(this.o[b-1]=null,delete this.F[a],--this.I*2<this.o.length&&!this.S&&Ha(this))};G.prototype.notify=function(a){var b=this.o;try{++this.S;for(var c=0;c<b.length;c++){var d=b[c];d&&d.apply(null,arguments)}}finally{!--this.S&&this.I*2<b.length&&Ha(this)}};G.prototype.getSize=function(){return this.I}; var Ha=function(a){var b=a.o,c=b.length;a=a.F;for(var d=0,e=0;e<c;e++){var f=b[e];f&&(b[d]=f,a[F(f)]=++d)}b.length=d};function H(a,b,c,d,e){Ia(a,b,c,d===void 0?!1:d,e===void 0?!1:e,Ja)}function I(a,b,c,d){Ia(a,b,c,d===void 0?!1:d,!1,Ka)}function La(a,b,c,d){function e(g){I(f,a,e,c);b(g)}var f=document;c=c===void 0?!1:c;H(f,a,e,c,d===void 0?!1:d)}function Ma(a){Na?Na.add(a):a()}var Oa=window.requestAnimationFrame?function(a){window.requestAnimationFrame(a)}:function(a){setTimeout(function(){return a(window.performance&&performance.now?performance.now():Date.now())},33)}; function Pa(a){a.stopPropagation();a.preventDefault()}function Qa(a){return(a.ctrlKey?1:0)|(a.altKey?2:0)|(a.metaKey?4:0)|(a.shiftKey?8:0)}function Ja(a,b,c,d,e){var f=a.addEventListener;e=e&&va();f.call(a,b,c,e?{passive:e,capture:d}:d)}function Ka(a,b,c,d){a.removeEventListener(b,c,d)}function Ia(a,b,c,d,e,f){if(typeof b==="string")f(a,b,c,d,e);else for(var g=b.length,m=0;m<g;m++)f(a,b[m],c,d,e)}function Ra(){Na.notify();Na=null} function Sa(){document.readyState=="complete"&&(I(document,"readystatechange",Sa),Ra())}var Na,Ta=!!document.attachEvent,Ua=document.readyState;if(Ta?Ua!="complete":Ua=="loading")Na=new G,Ta?H(document,"readystatechange",Sa):La("DOMContentLoaded",Ra);function Va(){La(["mousedown","touchstart"],function(){x(document.documentElement,"gs_pfcs",!0);H(document,"keydown",Wa,!0)},!0,!0)}function Wa(a){a.keyCode==9&&(x(document.documentElement,"gs_pfcs",!1),I(document,"keydown",Wa,!0),Va())}Va();function Xa(a,b,c,d,e){var f=D(a);Ya(f,function(){u(f,"gs_vis");b&&b()},function(){v(f,"gs_vis");c&&c()},d,e)}function Za(a){a=J[a]||[0];return a[a.length-1]} function Ya(a,b,c,d,e,f){f=f===void 0?"":f;var g=E(a),m=Za(g);if(!m||m<Za(f)){var k=document.activeElement;f=D(f);$a(ab(f||a),!0);b&&b();K.push(function(l){J[g].pop();J[g].length||delete J[g];if(!l){(l=e)||k==document.body||(l=k);var p=document.activeElement;if(l)try{l.focus()}catch(A){}else p&&a.contains(p)&&p.blur()}c&&c()});J[g]||(J[g]=[]);J[g].push(K.length);k&&a.contains(k)||setTimeout(function(){var l=d,p=l&&l.type=="text";if(!l||p&&ta)l=a;try{l.focus(),p&&(l.value=l.value)}catch(A){}},0)}} function L(a){$a((Za(a)||1E6)-1,!1)}function bb(a){a=a===void 0?!1:a;K.pop()(a)}function $a(a,b){for(b=b===void 0?!1:b;K.length>a;)bb(b||K.length>a+1)}function ab(a){for(var b=0;a&&!(b=Za(a.id));)a=a.parentNode;return b}var K=[],J={};H(document,"click",function(a){var b=K.length;b&&!Qa(a)&&b>ab(a.target)&&bb(!0)});H(document,"keydown",function(a){a.keyCode==27&&!Qa(a)&&K.length&&bb()}); H(document,"focus",function(a){var b=K.length;if(b)for(var c=ab(a.target);c<b;){var d="",e;for(e in J)if(Za(e)==b){d=e;break}a:{d=(D(d).getAttribute("data-wfc")||"").match(Ca)||[];for(var f=0;f<d.length;f++){var g=D(d[f]);if(g&&g.offsetWidth){d=g;break a}}d=void 0}if(d){Pa(a);d.focus();break}else bb(!0),--b}},!0);var cb={},db={},eb;try{eb=window.sessionStorage}catch(a){};function M(a){return typeof a=="object"?a:null}function fb(){var a=gb(),b=hb();b=ib(b);a=jb(a);a=kb(a)||"#";N=M(b);lb?window.history.replaceState(b,"",a):window.location.replace(a)}function kb(a){var b=[],c;for(c in a)b.push(encodeURIComponent(c)+"="+encodeURIComponent(a[c]));return(a=b.sort().join("&"))?"#"+a:""} function mb(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 nb(){var a=window.location.hash,b=a.indexOf("#")+1;return mb(b?a.substr(b):"")}function ob(a,b){for(var c in b){var d=b[c];d!==void 0?a[c]=d:delete a[c]}}function jb(a){var b=nb();ob(b,a);return b} function ib(a){var b=N||M(window.history.state),c={},d;for(d in b)c[d]=b[d];ob(c,a);return c}function pb(){setTimeout(function(){if(!qb){var a=window.history.state;qb=!0;N=M(a);rb.notify()}sb=!1},0)}var rb=new G,N,qb=!1,sb=!0,lb="pushState"in window.history,tb; if(typeof GSP=="undefined")tb=!1;else{var ub=.001*Date.now(),vb=GSP.eventId,wb=!1,O,xb=eb;if(!("nh"in cb)){var yb=xb&&xb.getItem("nh"),zb;if(yb)try{zb=JSON.parse(yb)}catch(a){}db.nh=zb}O=db.nh;O instanceof Array||(O=[]);for(var Ab=O.length,Bb=0,Cb=0;Cb<Ab;Cb++){var Db=O[Cb];if(Db instanceof Array&&Db.length==2){var Eb=Db[1]==vb;wb=wb||Eb;Ab-Cb<=10&&+Db[0]>ub-86400&&!Eb&&(O[Bb++]=Db)}}O.length=Bb;O.push([ub,vb]);var Fb=O,Gb=eb;db.nh=Fb;try{Gb&&Gb.setItem("nh",JSON.stringify(Fb))}catch(a){}tb=wb} var Hb=tb;"onpageshow"in window?H(window,"pageshow",pb):Ma(pb);H(window,lb?"popstate":"hashchange",function(a){document.readyState!="loading"&&(a=a.state,qb=!0,N=M(a),rb.notify())});function Ib(){Jb&&(I(D("gs_alrt_l"),"click",Jb),Jb=void 0)}function Kb(){var a=Lb();u(a,"gs_anm");u(a,"gs_vis");H(document,"click",Mb);clearTimeout(Nb);Nb=setTimeout(Mb,4E3);++Ob;setTimeout(Pb,0)}function Mb(){Ob||(I(document,"click",Mb),clearTimeout(Nb),Nb=void 0,Ib(),v(Lb(),"gs_vis"))}function Lb(){return D("gs_alrt")}function Pb(){Ob=0}var Nb,Ob=0,Jb;Ma(function(){var a=D("gs_alrt_m");a&&(a.innerHTML&&!Hb&&Kb(),H(window,"pagehide",function(){Ob=0;Mb();v(Lb(),"gs_anm")}))});function Qb(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"),m=d.responseURL,k=window.location,l=k.protocol;k="//"+k.host+"/";m&&m.indexOf(l+k)&&m.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 Rb(a){a&&(a.onreadystatechange=function(){},a.abort())};var Sb=function(a,b,c){this.type=a;this.currentTarget=this.target=b;this.i=c===void 0?null:c;this.U=!1};Sb.prototype.stopPropagation=function(){this.i&&this.i.stopPropagation();this.U=!0};var P=function(a){a.i&&Pa(a.i);a.U=!0};var Q=function(a,b){this.V=a;this.na=b},Tb=function(a,b,c){this.V=a;this.types=b;this.listener=c};function Ub(a,b){var c=b.length;if(c){var d=F(a),e=Vb[d];if(!e){e=Vb[d]=[];d=Wb(b[0].V);for(var f in d){var g=Xb[f];g||(g=Xb[f]=Object.create(null));for(var m in d[f]){var k=g[m];k||(k=g[m]=[]);k.push(a)}}Yb(a,e,b[0],Zb);for(f=1;f<c;f++)Yb(a,e,b[f],$b)}}}function S(a,b,c){ac(new Sb(a,b,c===void 0?null:c))} function T(a,b,c){var d=bc;typeof b==="string"&&(cc[0]=b,b=cc);var e=b.length;a=Wb(a);for(var f in a)for(var g in a[f])for(var m=0;m<e;m++)d(f,g,b[m],c)}function Wb(a){typeof a==="string"&&(dc[0]=a,a=dc);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 bc(a,b,c,d){var e=ec[c];e||(c!="touchstart"&&c!="mouseover"&&c!="mouseout"&&H(document,c,fc,c=="focus"||c=="blur"),e=ec[c]=Object.create(null));(c=e[a])||(c=e[a]=Object.create(null));(a=c[b])||(a=c[b]=new G);a.add(d)}function fc(a){var b=a.target;b&&b.nodeType==3&&(b=b.parentNode);ac(new Sb(a.type,b,a))} function ac(a){for(var b=a.target;b&&b!=document&&!b.disabled&&!w(b,"gs_dis");){a.currentTarget=b;var c=b.id;if(c&&!gc("#",c,a))break;c=b.classList||[];for(var d=c.length,e=0;e<d;e++)if(!gc(".",c[e],a))return;b=b.parentNode}}function gc(a,b,c){var d=ec[c.type];(b=(a=d&&d[a])&&a[b])&&b.notify(c);return!c.U}function Yb(a,b,c,d){var e=c.V;c=c.na;for(var f in c){var g=oa(d,a,c[f]);T(e,f,g);b.push(new Tb(e,f,g))}}function Zb(a,b,c){var d=c.currentTarget;a=hc(a,d)||a;a=ic(a,d);b.call(a,c)} function $b(a,b,c){a:{for(var d=c.currentTarget;d&&d!=document;){var e=hc(a,d);if(e){a=ic(e,d);break a}d=d.parentNode}a=void 0}a&&b.call(a,c)}function ic(a,b){var c=jc(b),d=kc[c];d||(d=kc[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=F(a);(d=lc[a])||(d=lc[a]=[]);d.push(c);return b}function hc(a,b){var c,d=b.id;d&&(c=mc(a,c,"#",d));b=b.classList||[];d=b.length;for(var e=0;e<d;e++)c=mc(a,c,".",b[e]);return c} function mc(a,b,c,d){c=(d=(c=Xb[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 jc(a){var b=a.getAttribute("data-duid");b||a.setAttribute("data-duid",b=""+nc++);return b}var ec=Object.create(null),dc=[""],cc=[""],Xb=Object.create(null),Vb=Object.create(null),lc=Object.create(null),kc=Object.create(null),nc=100;window.gs_evt_dsp=fc;function oc(){var a=".gs_md_li";if(typeof a==="string"){var b=a.charAt(0),c=a.slice(1);if(b=="#")a=function(d){return d.id==c&&d.offsetWidth>0};else if(b==".")a=function(d){return w(d,c)&&d.offsetWidth>0};else throw Error("bad selector: "+a);}return a}function pc(a,b){return a&&((b===void 0?0:b)?a.lastElementChild:a.firstElementChild)}function qc(a,b){return a&&((b===void 0?0:b)?a.previousElementSibling:a.nextElementSibling)}function rc(a,b,c){c=c===void 0?!1:c;return sc(a,b,oc(),c,!1)} function sc(a,b,c,d,e){for(var f;b&&a;){if(c(b)){if(e)return b}else for(f=pc(b,d);f;f=qc(f,d))if(e=sc(f,f,c,d,!0))return e;for(e=!0;;){if(b==a)return null;f=b.parentNode;if(b=qc(b,d))break;b=f}}return null};var tc=["false","true","mixed"];var U=function(){this.D=Object.create(null)};U.prototype.clear=function(){this.D=Object.create(null)};U.prototype.has=function(a){return a in this.D};U.prototype.get=function(a){return this.D[a]};U.prototype.set=function(a,b){this.has(a);this.D[a]=b};U.prototype.delete=function(a){this.has(a)&&delete this.D[a]};var uc=function(a){var b=window,c=this;this.o=new G;this.Y=0;this.W=[b,a,function(){c.Y++||Oa(d)},!1];var d=function(){c.Y=0;c.o.notify()}};uc.prototype.addListener=function(a){this.o.getSize()||H.apply(null,this.W);this.o.add(a)};uc.prototype.removeListener=function(a){this.o.remove(a);this.o.getSize()||I.apply(null,this.W)};var vc=new uc("scroll"),wc=new uc("resize");var xc=new G;function yc(){var a=document.documentElement,b=sa();b={gs_el_ph:b==1,gs_el_ta:b==2,gs_el_sm:b!=4,gs_el_tc:ta||b==1};var c;for(c in b){var d=b[c];if(w(a,c)!=d){var e=!0;x(a,c,d)}}e&&xc.notify()}x(document.documentElement,"gs_el_ios",qa);yc();wc.addListener(yc);H(window,["pageshow","load"],yc);var zc=function(a,b,c,d,e,f){this.g=a;this.B=b;this.v=c;this.A=d;this.T=e;this.s=f;this.m=null},Ac=function(a,b){a.m=b},Bc=function(){this.l=[];this.j=-1};Bc.prototype.push=function(a){++this.j;this.j==this.l.length?this.l.push(a):(this.l[this.j]=a,this.l.splice(this.j+1,this.l.length-this.j))};Bc.prototype.pop=function(){--this.j};var Ec=function(a){for(var b=W;b.j>a;)L(b.top().g)},Fc=function(a,b){for(var c=0;c<a.l.length&&!(a.l[c].s>=b);++c);return c};Bc.prototype.top=function(){return this.at(this.j)}; Bc.prototype.at=function(a){return this.l[a]||null};function Gc(a,b){var c=a==W.j;W.j=a;b&&!N&&!M(window.history.state)&&fb();c||Hc()}function Ic(a,b){b=b===void 0?"":b;var c=c===void 0?"":c;var d=d===void 0?"":d;var e=W.top();e&&a==e.g&&b==e.B&&c==e.v||(W.push(new zc(a,b,c,d,e&&e.g==a?e.T+1:1,Date.now())),b=gb(),a=hb(),a=ib(a),b=jb(b),b=kb(b)||"#",N=M(a),lb?window.history.pushState(a,"",b):window.location.assign(b),Hc())} function Jc(a){a=Kc(D(a));return!!a&&w(a,"gs_md_wmw")&&w(document.documentElement,"gs_el_ph")}function Lc(){var a=D("gs_top"),b=document.documentElement;a=a.scrollHeight>b.clientHeight;for(var c=!1,d=0;d<=W.j&&!c;++d)c=!Jc(W.at(d).g);x(D("gs_md_s"),"gs_vis",c);c=W.j;c>=1&&(c=W.at(c-1).g,d=Jc(c),x(D(c),"gs_md_ins_vis",!d));b.style.overflowY=a&&!Jc(W.top().g)?"scroll":""} function Hc(){function a(){var y=c.clientHeight,q=+B.getAttribute("data-h");q||(g.style.maxHeight="none",q=f.offsetHeight);var r=f.querySelector(".gs_md_ftr");q=Math.max((y-q)/2,10);y=Math.max(y-48-(r?r.offsetHeight:0)-2*q,10);r=Jc(e);f.style.top=r?"auto":q+"px";g.style.maxHeight=r?"none":y+"px";Mc(g)}var b=W.top(),c=document.documentElement,d=D("gs_top"),e=b.g,f=D(e),g=D(e+"-bdy"),m=1200+W.j,k=D(f.getAttribute("data-cid")||f.id+"-bdy")||f,l=b.A,p=b.v,A=b.B,C=D("gs_md_s"),V=D(e).getAttribute("data-shd")|| "",B=Kc(f),R=window.pageYOffset,Cc=A&&A[0]!="#"&&!l,Dc=W.j>0?W.at(W.j-1).g:"",ja=!!J[e];Cc?(ja?x(k,"gs_md_ldg",!0):Nc(f,k,'<div class="gs_md_prg">'+D("gs_md_ldg").innerHTML+"</div>",b),S("gs-md-ldin",k)):(l&&Nc(f,k,l,b),S("gs-md-lded",k));ja&&e==Dc||Ya(f,function(){(B||f).style.zIndex=m;Oc(V);if(!ja){B&&u(B,"gs_vis");u(f,"gs_vis");x(f,"gs_abt",sb);x(C,"gs_abt",sb);Pc(e);if(W.j==0){var y=Lc;xc.add(y);y()}else Lc();B&&g&&(a(),wc.addListener(a))}W.j==0&&(u(d,"gs_nscl"),d.style.top=-R+"px")},function(){ja|| (wc.removeListener(a),B&&v(B,"gs_vis"),v(f,"gs_vis"),v(f,"gs_abt"));for(var y=W.top()?W.top().T:0;W.top()&&W.top().g==e;){var q=W.top();Rb(q.m);q.m=null;W.pop()}if(W.top()){if(q=W.top().g,Oc(D(q).getAttribute("data-shd")||""),v(D(q),"gs_md_ins_vis"),ja){a:{q=W;for(var r=q.j;r>=0;r--)if(q.l[r].g==e){q=r;break a}q=-1}r=W.at(q);(B||f).style.zIndex=1200+q;Nc(f,k,r.A,r)}}else v(C,"gs_vis"),v(C,"gs_abt");W.j==-1?(xc.remove(Lc),c.style.overflowY="",v(d,"gs_nscl"),d.style.top="auto",window.scrollTo(0,R)): Lc();Qc||(y>0?window.history.go(-y):fb())},Rc(f),Sc(f),Dc);Cc&&(Rb(b.m),b.m=null,Ac(b,Qb(A,p,function(y,q,r){b.m=null;r=(y=y==200&&r.match(/^text\/html(;.*)?$/i))?q:Tc();Nc(f,k,r,b);if(y)for(y=e,r=0;r<W.l.length;++r){var Fa=W.at(r);y==Fa.g&&A==Fa.B&&p==Fa.v&&(Fa.A=q,r==W.j&&fb())}S("gs-md-lded",k)})))}function Kc(a){a=a.parentNode;return w(a,"gs_md_wnw")?a:null}function Rc(a){return(a=a.getAttribute("data-ifc"))?D(a):null}function Sc(a){return(a=a.getAttribute("data-cfc"))?D(a):null} function Nc(a,b,c,d){x(b,"gs_md_ldg",!1);for(var e=b.querySelectorAll("[data-duid]"),f=e.length,g={},m=0;m<f;m++){for(var k=jc(e[m]),l=kc[k],p=l?l.length:0,A=0;A<p;A++){var C=l[A],V=F(C.constructor),B=g[V];B||(B=g[V]={});B[k]=!0;C&&typeof C.dispose=="function"&&C.dispose()}delete kc[k]}for(var R in g){R=+R;e=g[R];m=(f=lc[R])?f.length:0;for(l=k=0;l<m;l++)p=f[l],p in e||(f[k++]=p);k?f.length=k:delete lc[R]}b.innerHTML=c;d.A=c;Pc(a.id);Rb(d.m);d.m=null} function Pc(a){if(a=document.querySelector("#"+a+">.gs_md_bdy"))a.scrollTop=a.scrollLeft=0,Mc(a)}function Mc(a){var b=a.style,c="padding"+(za(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 Tc(){return'<div class="gs_md_prg"><div class="gs_alrt">'+D("gs_md_err").innerHTML+"</div></div>"} function gb(){var a=W.top();return{d:a&&a.g||void 0,u:a&&a.B||void 0,p:a&&a.v?"1":void 0,t:a&&a.s||void 0}}function hb(){var a=W.top();return{n:a&&a.T||0,p:a&&a.v||"",h:a&&a.A||""}}function Oc(a){if(Uc!=a){var b=D("gs_md_s");Uc&&v(b,Uc);(Uc=a)&&u(b,a)}}var Qc=0,Uc="",W=new Bc; rb.add(function(){var a=nb(),b=a.d||"",c=b?D(b):null;++Qc;if(c){var d=a.u||"";c=+a.p>0;var e=+a.t||0,f=N||M(window.history.state)||{};a=+f.n||0;var g=""+(f.p||"");f=""+(f.h||"");d.match(Ea)||(d="");for(var m=Fc(W,e),k=m;k<W.l.length;++k){var l=W.at(k);if(e<l.s&&l.g!=b)break}for(l=m-1;l>=0;--l){var p=W.at(l);if(e>p.s&&p.g!=b)break}Ec(k-1);for(k=0;k<=l;++k)p=W.at(k).g,J[p]||Gc(l,!1);if(l=m<W.l.length)l=W.at(m),l=b==l.g&&d==l.B&&c==!!l.v&&e==l.s;l?Gc(m,!0):(a==0&&(Ec(-1),W=new Bc,e=Date.now()),c!=!!g&& (d=g="",f=Tc()),b=new zc(b,d,g,f,a,e),c=W,e=b.s,a=Fc(c,e),e=a<c.l.length&&e==c.at(a).s,c.l.splice(a,e?1:0,b),W.j=a,fb(),Hc())}else Ec(-1);--Qc});var Vc=function(a){t.call(this);this.G=a;this.R=Object.create(null);this.m=null;a=a.querySelectorAll(".gs_in_txtw>input[type=text]");for(var b=a.length;b--;){var c=a[b],d=c.parentNode.querySelector(".gs_in_txts");c=c.name;d&&c&&(this.R[c]=d.innerHTML)}};ma(Vc,t);Vc.prototype.K=function(){Rb(this.m);this.G=this.m=null;t.prototype.K.call(this)}; Vc.prototype.ja=function(a){var b=this;P(a);if((a=this.G)&&!this.m){var c="json=&"+Aa(a);Wc(this,!0);this.m=Qb(a.action,c,function(d,e){b.m=null;Wc(b,!1);var f=b.G,g=f.getAttribute("data-alrt");if(g=g?D(g):null)g.innerHTML="";try{var m=d==200&&JSON.parse(e)}catch(B){}d=!1;m&&typeof m=="object"||(Xc(g,D("gs_md_err").innerHTML),m={},d=!0);f.setAttribute("data-p",""+(m.P||""));S("gs-ajax-form-done",f);if(e=m.L){var k=""+e;k.match(Da)&&(window.location.href=k)}else{if(e=m.M)Xc(g,e),d=!0;e=1E6;g&&g.innerHTML&& (k=g,e=g.getBoundingClientRect().top);g=f.elements;m=m.E;typeof m=="object"||(m=Object.create(null));for(var l in b.R){var p=g[l],A=void 0,C=""+(m[l]||""),V=p.parentNode.querySelector(".gs_in_txts");x(p.parentNode,"gs_in_txte",!!C);V&&(V.innerHTML=C||b.R[l]||"");C&&(A=p.getBoundingClientRect().top)<e&&(k=p,e=A);d=d||!!C}(f=f.getAttribute("data-d"))&&!d&&L(f);k&&k.scrollIntoView&&(e<0||e+20>window.innerHeight)&&k.scrollIntoView()}})}}; var Wc=function(a,b){a=a.G;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;x(d,"gs_bsp",b)}},Xc=function(a,b){if(a)a.innerHTML=b;else{var c=c===void 0?"":c;var d=d===void 0?"":d;var e=e===void 0?[]:e;D("gs_alrt_m").innerHTML=b;Lb().action=d.match(Da)?d:"";a=D("gs_alrt_l");a.textContent=c;c=D("gs_alrt_h");c.innerHTML="";for(var f in e)b=document.createElement(xa.aa),b.type="hidden",b.name=f,b.value=e[f],c.appendChild(b); Ib();x(a,"gs_fm_s",!0);Kb()}};Ub(Vc,[new Q(".gs_ajax_frm",{submit:Vc.prototype.ja})]);var Yc=[[1,0,1],[2,0,1]];T(".gs_cb_gen","click",function(a){var b=a.currentTarget,c=(w(b,"gs_sel")?1:0)+2*(w(b,"gs_par")?1:0),d=+b.getAttribute("data-s")==2;c=Yc[+d][c];d=!0;d=d===void 0?!1:d;x(b,"gs_sel",c==1);x(b,"gs_par",c==2);b.setAttribute("aria-checked",tc[c]);d||b.setAttribute("data-s",""+c);S("gs-change",b,a.i)});T(".gs_cb_gen",["keydown","keyup"],function(a){var b=a.currentTarget,c=a.i.keyCode;b.tagName!="BUTTON"||c!=13&&c!=32||(P(a),a.type=="keydown"&&b.click())});T([".gs_cb_gen",".gs_md_li"],"keydown",function(a){var b=a.currentTarget,c=b.tagName,d=a.i.keyCode;c!="BUTTON"&&(d==32||d==13&&c!="A")&&(P(a),b.click())});var Zc=["click","contextmenu","mouseup"].concat(navigator.sendBeacon?[]:["mousedown","touchstart"]),$c="",ad=null;function bd(){ad=null}function cd(a){navigator.sendBeacon?navigator.sendBeacon(a):ad&&a==ad.src||((ad=new Image).src=a,setTimeout(bd,1E3))} function dd(){var a=document.location.href,b=a.indexOf("?")+1;a=b?a.substr(b):"";b=a.indexOf("#");a=mb(b+1?a.substr(0,b):a).hl||"";a="/scholar_bfnav?url="+encodeURIComponent(document.location.href)+"&hl="+encodeURIComponent(a)+"&ei="+GSP.eventId;cd(a)}Ma(function(){$c=Hb?"&bn=1":"";Hb&&dd()});H(window,"pageshow",function(a){a.persisted&&($c="&bn=1",dd())}); H(document,Zc,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"))?D(a):null,b=b+c(a&&a.innerText||"")+ $c,cd(b))}},!1,!0);T(".gs_fm_s","click",function(a){a=a.currentTarget.getAttribute("data-fm")||"";(a=D(a))&&a.submit()});var X=function(a){this.g=E(a.querySelector(".gs_md_d"));this.J=E(a.querySelector(".gs_md_tb"))};X.prototype.N=function(a){var b=D(this.g);return a!==void 0?rc(b,b,a):null};X.prototype.open=function(a){a=this.N(a);if(w(D(this.J),"gs_sel"))try{a&&a.focus()}catch(c){}else{var b=D(this.J);Xa(this.g,function(){u(b,"gs_sel")},function(){v(b,"gs_sel")},a,b)}};X.prototype.close=function(){L(this.g)};X.prototype.ca=function(a){P(a);w(D(this.J),"gs_sel")?this.close():this.open(a.i.type=="keydown"?!1:void 0)}; X.prototype.X=function(a){var b=a.i.keyCode;if(b==38||b==40)P(a),this.open(b==38)};X.prototype.ea=function(a){a.target.id==this.g&&this.X(a)};Ub(X,[new Q(".gs_md_rmb",{}),new Q(".gs_md_tb",{"gs-press":X.prototype.ca,keydown:X.prototype.X}),new Q(".gs_md_d",{keydown:X.prototype.ea})]);var Y=function(a){X.call(this,a);this.la=E(a.querySelector(".gs_md_in"));this.ma=E(a.querySelector(".gs_md_tb .gs_lbl"))};ma(Y,X);Y.prototype.N=function(){return D(this.g).querySelector(".gs_md_li[aria-selected]")};Y.prototype.fa=function(a){ed(this,a)};Y.prototype.O=function(a){var b=a.i.keyCode;b!=13&&b!=32||ed(this,a)}; var ed=function(a,b){var c=b.currentTarget,d=D(a.la),e=a.N();c!=e&&(d.value=c.getAttribute("data-v"),D(a.ma).innerHTML=c.innerHTML,e&&fd(e,!1),fd(c,!0));P(b);a.close();S("gs-change",d,b.i)},fd=function(a,b){x(a,"gs_sel",b);b?a.setAttribute("aria-selected","true"):a.removeAttribute("aria-selected")};Ub(Y,[new Q(".gs_md_ris",{}),new Q(".gs_md_li",{click:Y.prototype.fa,keydown:Y.prototype.O})]);T("#gs_lp","click",function(a){P(a);Ic("gs_lp_d")});T("#gs_lp_cur","click",function(a){P(a);L("gs_lp_d")});var gd=function(a){this.Z=E(a)};gd.prototype.O=function(a){var b=a.currentTarget,c=a.i.keyCode;if(c==38||c==40){var d=D(this.Z);d=rc(d,b,c==38)||rc(d,d,c==38)}else if(c==37||c==39)a:{c=c==37!=za(b.parentNode);d=b.parentNode;var e=d.children,f=e.length;if(d.id!=this.Z){for(;e[--f]!=b;);d=qc(d,c)||pc(d.parentNode,c);e=d.children;if(f=Math.min(f+1,e.length))if(d=e[f-1],w(d,"gs_md_li")&&d.offsetLeft!=b.offsetLeft)break a}d=void 0}d&&(P(a),d.focus())};Ub(gd,[new Q(".gs_md_ulr",{}),new Q(".gs_md_li",{keydown:gd.prototype.O})]);T("#gs_hdr_mnu","click",function(a){P(a);Ic("gs_hdr_drw")});T("#gs_hdr_drw_mnu","click",function(a){P(a);L("gs_hdr_drw")});T("#gs_hdr_act_i","click",function(a){P(a);sa()==1?(a=document.querySelector("#gs_hdr_drw_bot>a").href,a.match(Da)&&(window.location.href=a)):Xa("gs_hdr_act_d")});T("#gs_hdr_drw","keydown",function(a){var b=a.i.keyCode;if(b==38||b==40){var c=a.currentTarget;if(b=rc(c,c,b==38))P(a),b.focus()}}); T("#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(){I(window,f,b)}var d=a.target;a=a.type=="focus";x(D("gs_hdr"),"gs_hdr_ifc",a);if(a&&ta&&!(window.innerHeight>749)){var e=setTimeout(c,1E3),f=["scroll","resize"];H(window,f,b)}});T("#gs_hdr_tsi",["input","gs-change"],function(a){x(D("gs_hdr_frm"),"gs_hdr_tsc",!!a.currentTarget.value)}); T("#gs_hdr_tsc","mousedown",function(a){P(a);var b=D("gs_hdr_tsi");b.value="";b.focus();S("input",b,a.i)});T("#gs_hdr_sre","click",function(a){P(a);var b=D("gs_hdr");Xa("gs_hdr_frm",function(){v(b,"gs_hdr_src");u(b,"gs_hdr_srx")},function(){u(b,"gs_hdr_src");v(b,"gs_hdr_srx")},D("gs_hdr_tsi"))});T(".gs_md_x","click",function(a){(a=a.currentTarget.getAttribute("data-mdx"))&&L(a)});var Z=function(){},hd,id;Z.prototype.da=function(a){a.i.button||(P(a),jd(a))};Z.prototype.ga=function(a){kd(a)&&(P(a),jd(a))};Z.prototype.ha=function(a){kd(a)&&P(a)};Z.prototype.ia=function(a){if(!a.i.button){P(a);var b=a.i;b&&(ld=b.clientX||0,md=b.clientY||0,H(document,nd,od,!0),clearTimeout(hd),hd=setTimeout(pd,2E3));jd(a)}}; Z.prototype.ka=function(a){P(a);if(qd){var b=a.i;b=b&&b.touches||[];if(b=b.length==1?b[0]:null)rd=b.clientX,sd=b.clientY,H(document,td,ud,!0),clearTimeout(id),id=setTimeout(vd,2E3)}jd(a)}; var kd=function(a){a=a.i.keyCode;return a==32||a==13},jd=function(a){S("gs-press",a.currentTarget,a.i)},pd=function(){I(document,nd,od,!0);clearTimeout(hd);hd=void 0},od=function(a){a.type!="mousedown"&&Math.abs(a.clientX-ld)<10&&Math.abs(a.clientY-md)<10?(Pa(a),a.type=="click"&&pd()):pd()},vd=function(){I(document,td,ud,!0);clearTimeout(id);id=void 0},ud=function(a){a.type!="touchstart"&&Math.abs(a.clientX-rd)<10&&Math.abs(a.clientY-sd)<10?(Pa(a),a.type=="click"&&vd()):vd()},ld=0,md=0,nd=["mousedown", "mouseup","click"],qd=z("Android")&&!z("Chrome"),rd=0,sd=0,td=["touchstart","mousedown","mouseup","click"];Ub(Z,[new Q(".gs_press",{click:Z.prototype.da,keydown:Z.prototype.ga,keyup:Z.prototype.ha,mousedown:Z.prototype.ia,touchstart:Z.prototype.ka})]);function wd(a){xd.style.left=yd&&zd===Ad?a.left+"px":"auto";xd.style.width=yd?a.width+"px":"auto";S("gs-sth-change",D("gs_sth"))}function Bd(){var a=Cd.getBoundingClientRect(),b=a.top,c=xd.offsetHeight,d=b<0,e;if(e=d&&qa)e=document.activeElement,e=!!e&&e.tagName=="INPUT"&&e.type=="text";b=e?-b-a.height:Ad;var f=yd!=d||zd!==Ad!=e;b!==zd&&(zd=b,xd.style.transform=b===Ad?"none":"translate3d(0,"+b+"px,0)");f&&(yd=d,x(Dd,"gs_sth_vis",d),x(Dd,"gs_sth_trk",e),wd(a),Cd.style.height=yd?c+"px":"auto")} function Ed(){yd&&wd(Cd.getBoundingClientRect())}var Ad,Dd,Cd,xd,yd=!1,zd;Ma(function(){if(Dd=D("gs_sth"))Cd=Dd.querySelector(".gs_sth_g"),xd=Dd.querySelector(".gs_sth_b"),vc.addListener(Bd),wc.addListener(Ed),Bd()});(function(a){Ma(function(){return setTimeout(a,0)})})(function(){var a=document.querySelectorAll(".gs_invis");var b=typeof Symbol!="undefined"&&Symbol.iterator&&a[Symbol.iterator];if(b)a=b.call(a);else if(typeof a.length=="number")a={next:aa(a)};else throw Error(String(a)+" is not an iterable or ArrayLike");for(b=a.next();!b.done;b=a.next())v(b.value,"gs_invis")});new U;new U;var Fd=(new Date).getTimezoneOffset();T("#gs_vcpb_cita_edit","click",function(a){a.i&&Pa(a.i);a=D("gsc_vcpb").getAttribute("data-edit-link")+"&tzom="+Fd;Ic("gs_md_cita-d",a)});T("#gs_md_cita-b-save","click",function(){var a=D("gsc_ecd_form");Ba(a,"continue").value=window.location.pathname+window.location.search;S("submit",a)}); T(".gsc_ecd_form_tsel","click",function(a){var b=D("gsc_ecd_form"),c=D("gsc_ecd_table");b=Ba(b,"articletype");a=a.currentTarget;b.value=a.getAttribute("data-type")||"";c.className=a.getAttribute("data-class")||"";c=document.querySelectorAll("#gsc_ecd_citation_type button");for(b=c.length;b--;)x(c[b],"gs_sel",c[b]==a)}); }({"customAC":0,"eventId":"EphHZ7eBO5uDy9YPs-PngA4"});</script></head><body><div id="gs_top" onclick=""><style>#gs_md_s,.gs_md_wnw{z-index:1200;position:fixed;top:0;left:0;width:100%;height:100%;visibility:hidden;}.gs_md_ds:before{content:'';position:absolute;background-color:#fff;z-index:100;opacity:0;visibility:hidden;top:0;bottom:0;right:0;left:0;}.gs_md_ds.gs_md_d:not(.gs_el_ph .gs_md_wmw):before{top:-1px;bottom:-1px;right:-1px;left:-1px;}#gs_md_s{background-color:#fff;opacity:0;}.gs_el_ta #gs_md_s,.gs_el_ph #gs_md_s,.gs_el_ta .gs_md_ds:before,.gs_el_ph .gs_md_ds:before{background-color:#666;}#gs_md_s.gs_vis,.gs_md_ds.gs_md_ins_vis:before{opacity:.5;visibility:visible;}.gs_md_wnw{transition:all 0s .218s;}.gs_md_wnw.gs_vis{visibility:visible;transition:all 0s;}.gs_el_tc .gs_md_ds:before{transition:opacity .15s,visibility 0s .15s;}.gs_el_tc .gs_md_ds.gs_md_ins_vis:before{transition:opacity .218s,visibility 0s;}.gs_md_wnw>.gs_md_d{position:relative;margin:0 auto;width:464px;box-shadow:2px 2px 8px rgba(0,0,0,.2);white-space:normal;}.gs_el_ta .gs_md_wnw>.gs_md_d,.gs_el_ph .gs_md_wnw>.gs_md_d{box-shadow:2px 2px 8px rgba(0,0,0,.65);}.gs_el_ph .gs_md_wnw>.gs_md_d{width:80%;max-width:440px;}.gs_el_ph .gs_md_wmw>.gs_md_d{display:flex;flex-direction:column;width:100%;height:100%;max-width:none;border:none;box-shadow:none;transform:translate(0,100%);transform:translate(0,100vh);transition:transform .27s cubic-bezier(.4,0,.6,1),opacity 0s .27s,visibility 0s .27s,max-height 0s .27s;}.gs_el_ph .gs_md_wmw>.gs_md_d.gs_vis{transform:translate(0,0);transition:transform .3s cubic-bezier(0,0,.2,1);}.gs_md_wmw>.gs_md_d.gs_abt,.gs_el_ph .gs_md_wmw>.gs_md_d.gs_abt{transition:none;}.gs_md_hdr{display:flex;align-items:center;height:47px;border-bottom:1px solid #e0e0e0;border-bottom-color:rgba(0,0,0,.12);background-color:#f5f5f5;}.gs_md_hdr>a,.gs_md_hdr>a.gs_btn_lrge{flex:0 0 auto;width:41px;height:47px;}.gs_el_ph .gs_md_hdr>a{margin:0 2px 0 0;}.gs_el_ph a.gs_md_hdr_c{margin:0 0 0 2px;}.gs_md_hdr_b{margin:0 41px 0 16px;}.gs_el_ph .gs_md_hdr_b{margin:0 16px;}.gs_md_hdr_t:empty~.gs_md_hdr_b{margin-left:0;}.gs_md_hdr_b:empty{width:41px;margin:0;}.gs_el_ph .gs_md_hdr_b:empty{margin-right:2px;}.gs_md_hdr_b:empty:not(:last-child){display:none;}.gs_md_hdr_b>button{min-width:51px;height:33px;}.gs_md_hdr_t{flex:1 1 auto;font-size:18px;font-weight:normal;color:#666;overflow:hidden;text-overflow:ellipsis;white-space:nowrap;text-align:center;}.gs_md_bdy{position:relative;overflow-y:auto;box-sizing:border-box;padding:24px 41px 0 41px;}.gs_md_bdy:after{display:block;content:"";clear:both;padding-bottom:24px;}.gs_el_ph .gs_md_bdy{padding:16px 16px 0 16px;}.gs_el_ph .gs_md_bdy:after{padding-bottom:16px;}.gs_el_ph .gs_md_wmw .gs_md_bdy{flex:1;}.gs_md_ftr{border-top:1px solid #e0e0e0;}.gs_md_lbl{display:block;font-size:16px;margin:0 0 16px 0;word-wrap:break-word;}.gs_md_btns{margin:24px 0 0 0;white-space:nowrap;}.gs_el_ph .gs_md_btns{margin:16px 0 0 0;}.gs_md_btns button{margin-right:16px;}.gs_md_btns button:last-child{margin-right:0;}.gs_md_prg{margin:24px 0;text-align:center;}.gs_md_prg .gs_alrt{padding:4px 16px;}.gs_md_ldg:before{content:"";position:absolute;top:0;left:0;bottom:0;right:0;background-color:#fff;opacity:.5;z-index:100;}</style><div id="gs_md_ldg" style="display:none">Loading...</div><div id="gs_md_err" style="display:none">The system can't perform the operation now. Try again later.</div><div id="gs_md_s"></div><div data-h="800" class="gs_md_wnw gs_md_ds gs_md_wmw"><div id="gs_md_cita-d" class="gs_md_d gs_md_ds gs_ttzi" role="dialog" tabindex="-1" aria-labelledby="gs_md_cita-d-t" data-cid="gs_md_cita-l" data-wfc="gs_md_cita-d-x"><div class="gs_md_hdr"><a href="javascript:void(0)" id="gs_md_cita-d-x" role="button" aria-label="Cancel" data-mdx="gs_md_cita-d" class="gs_btnCLS gs_md_x gs_md_hdr_c gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><h2 id="gs_md_cita-d-t" class="gs_md_hdr_t"></h2><div class="gs_md_hdr_b"><button type="button" id="gs_md_cita-b-save" aria-label="Save" class="gs_btnDNW gs_in_ib gs_btn_act gs_btn_half gs_btn_lsb"><span class="gs_wr"><span class="gs_ico"></span><span class="gs_lbl"></span></span></button></div></div><div id="gs_md_cita-d-bdy" class="gs_md_bdy"><style>#gs_md_cita-d{width:90%;max-width:1000px;}.gs_el_ph #gs_md_cita-d{width:100%;max-width:none;}#gs_md_cita-d .gs_md_prg{min-height:600px;}</style><div id="gs_md_cita-l" aria-live="assertive"></div></div></div></div><!--[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.co.in/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" aria-label="Homepage"></a></div><div><div class="gs_hdr_drw_sec"><a href="/citations?hl=en" role="menuitem" class="gs_btnPRO gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My profile</span></a><a href="/scholar?scilib=1&hl=en" role="menuitem" class="gs_btnL gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">My library</span></a><a href="/citations?view_op=metrics_intro&hl=en" role="menuitem" class="gs_btnJ gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Metrics</span></a><a href="/scholar_alerts?view_op=list_alerts&hl=en" role="menuitem" class="gs_btnM gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Alerts</span></a></div><div class="gs_hdr_drw_sec"><a href="/scholar_settings?hl=en" role="menuitem" class="gs_btnP gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Settings</span></a></div></div><div id="gs_hdr_drw_bot" class="gs_hdr_drw_sec"><a href="https://accounts.google.com/Login?hl=en&continue=https://scholar.google.co.in/schhp%3Fhl%3Den" class=" gs_in_ib gs_md_li gs_md_lix gs_in_gray"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl">Sign in</span></a></div></div></div><div id="gs_hdr" role="banner"><a href="/citations?view_op=list_works&hl=en&hl=en&user=lphQnvMAAAAJ" id="gs_hdr_bck" role="button" class="gs_btnALT gs_in_ib gs_btn_lrge"><span class="gs_ico"></span><span class="gs_ia_notf"></span><span class="gs_lbl"></span></a><div id="gs_hdr_md"><h1 dir="ltr">View article</h1></div><div id="gs_hdr_act"><a id="gs_hdr_act_s" href="https://accounts.google.com/Login?hl=en&continue=https://scholar.google.co.in/schhp%3Fhl%3Den">Sign in</a></div></div><style>#gs_alrt{position:fixed;bottom:48px;left:16px;max-width:384px;z-index:1250;display:flex;justify-content:space-between;align-items:center;font-size:13px;line-height:16px;color:#e2e2e2;background:#333;text-align:left;border-radius:3px;box-shadow:0 3px 5px -1px rgba(0,0,0,.2),0 6px 10px 0 rgba(0,0,0,.14),0 1px 18px 0 rgba(0,0,0,.12);visibility:hidden;transform-origin:center;transform:scale(0.8,0.8) translate(0,100%);}.gs_el_ph #gs_alrt{bottom:0;left:0;width:100%;max-width:none;border-radius:0;box-shadow:none;transform:scale(1,1) translate(0,100%);}#gs_alrt.gs_vis{visibility:visible;transform:scale(1,1) translate(0,0);}#gs_alrt.gs_anm{transition:transform .067s cubic-bezier(.4,0,1,1),visibility 0s .067s;}#gs_alrt.gs_vis.gs_anm{transition:transform .067s cubic-bezier(0,0,.2,1);}.gs_el_ph #gs_alrt.gs_anm{transition:transform .084s cubic-bezier(.4,0,1,1),visibility 0s .084s;}.gs_el_ph #gs_alrt.gs_vis.gs_anm{transition:transform .1s cubic-bezier(0,0,.2,1);}#gs_alrt_m{display:block;padding:16px;}#gs_alrt_l{display:block;padding:8px;margin:0 8px 0 -8px;border-radius:3px;color:#fcc934;text-transform:uppercase;text-decoration:none;}#gs_alrt_l:hover{background-color:rgba(255,255,255,.05)}#gs_alrt_l:active{background-color:rgba(255,255,255,.1)}#gs_alrt_l:empty{display:none}#gs_alrt_m a{padding:8px 0;color:#e2e2e2;text-decoration:underline;}#gs_alrt_m a:active{color:#f6aea9}</style><form action="" method="post" id="gs_alrt"><span id="gs_alrt_m"></span><span id="gs_alrt_h"></span><a id="gs_alrt_l" href="javascript:void(0)" class="gs_fm_s" data-fm="gs_alrt"></a></form><div id="gs_bdy"><div id="gs_bdy_sb" role="navigation"><div id="gs_bdy_sb_in"><div id="gsc_sb_ui" class="gs_bdy_sb_sec"><a href="/citations?user=lphQnvMAAAAJ&hl=en" class="gs_ibl"><span class="gs_rimg gs_pp_sm"><img alt="Laurent D. Cohen" sizes="44px" src="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=lphQnvMAAAAJ&citpid=2" srcset="https://scholar.googleusercontent.com/citations?view_op=small_photo&user=lphQnvMAAAAJ&citpid=2 44w,https://scholar.googleusercontent.com/citations?view_op=view_photo&user=lphQnvMAAAAJ&citpid=2 99w" width="44" height="56"></span></a><div><a href="/citations?user=lphQnvMAAAAJ&hl=en">Laurent D. Cohen</a></div></div></div></div><div id="gs_bdy_ccl" role="main"><div id="gsc_vcpb" data-edit-link="/citations?view_op=edit_citation&hl=en&user=lphQnvMAAAAJ&citation_for_view=lphQnvMAAAAJ:KKiikWAUrRgC&citation_for_view=lphQnvMAAAAJ:KKiikWAUrRgC&back_view_op=view_citation"><form method="post" id="gsc_vcpb_btns" action="/citations?view_op=view_citation&hl=en"><input type="hidden" name="xsrf" value="ADIE8skAAAAAZ0jpkgrEYA4WiIP6ornvRSkVCow"><input type="hidden" name="s" value="lphQnvMAAAAJ:KKiikWAUrRgC"><input type="hidden" name="continue" value="/citations?view_op=list_works&hl=en&hl=en&user=lphQnvMAAAAJ"></form><div id="gsc_oci_title_wrapper"><div id="gsc_oci_title_gg"><div class="gsc_oci_title_ggi"><a href="https://link.springer.com/article/10.1140/epjc/s10052-019-7140-6" data-clk="hl=en&sa=T&ei=EphHZ7eBO5uDy9YPs-PngA4"><span class='gsc_vcd_title_ggt'>[HTML]</span> from springer.com</a></div><div class="gsc_oci_title_ggi"><a href="https://link.springer.com/content/pdf/10.1140/epjc/s10052-019-7140-6.pdf" data-clk="hl=en&sa=T&ei=EphHZ7eBO5uDy9YPs-PngA4">Full View</a></div></div><div id="gsc_oci_title"><a class="gsc_oci_title_link" href="https://link.springer.com/article/10.1140/epjc/s10052-019-7140-6" data-clk="hl=en&sa=T&ei=EphHZ7eBO5uDy9YPs-PngA4">Electron reconstruction and identification in the ATLAS experiment using the 2015 and 2016 LHC proton–proton collision data at <svg class="gs_fsvg" aria-label=" s = 13 " width="69px" height="20px" style="vertical-align:-6px;"><g transform="matrix(0.01900, 0.00000, 0.00000, 0.01900, 0.00000, 15.15249)"><g><g><g><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 0.00000, -717.49945)" d="M 719 -1954 L 311 -1057 L 190 -1149 Q 184 -1155 176 -1155 Q 167 -1155 157 -1146 T 147 -1126 Q 147 -1116 156 -1110 L 399 -926 Q 405 -920 414 -920 Q 427 -920 434 -934 L 801 -1741 L 1671 63 Q 1681 82 1706 82 Q 1723 82 1735 70 T 1747 41 Q 1747 31 1745 27 L 793 -1948 Q 780 -1966 760 -1966 H 737 Q 727 -1966 719 -1954 Z "/><g transform="translate(833.33002, 0.00000)"><path transform="scale(0.48828, -0.48828)" d="M 178 125 Q 233 31 399 31 Q 471 31 536 55 T 643 129 T 686 248 Q 686 301 648 335 T 555 381 L 444 403 Q 368 422 319 474 T 270 600 Q 270 691 319 761 T 450 868 T 618 905 Q 711 905 784 860 T 858 729 Q 858 682 831 646 T 758 610 Q 731 610 711 627 T 692 672 Q 692 696 705 718 T 741 754 T 788 768 Q 770 812 720 832 T 614 852 Q 562 852 510 831 T 426 769 T 395 674 Q 395 637 421 609 T 485 569 L 604 545 Q 661 533 708 502 T 783 425 T 811 319 Q 811 243 768 169 T 664 51 Q 555 -23 397 -23 Q 288 -23 197 27 T 106 176 Q 106 232 138 273 T 227 315 Q 260 315 282 295 T 305 242 Q 305 195 270 160 T 188 125 H 178 Z "/><line transform="translate(0.00000, -717.49945)" x1="0" x2="468.78000" y1="0" y2="0" style="stroke-width:40.00000"/></g></g><g transform="translate(1302.10999, 0.00000)"><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 277.77780, 0.00000)" d="M 154 272 Q 137 272 126 285 T 115 313 Q 115 330 126 342 T 154 354 H 1440 Q 1455 354 1466 342 T 1477 313 Q 1477 298 1466 285 T 1440 272 H 154 Z M 154 670 Q 137 670 126 682 T 115 711 Q 115 726 126 739 T 154 752 H 1440 Q 1455 752 1466 739 T 1477 711 Q 1477 694 1466 682 T 1440 670 H 154 Z "/></g><g transform="translate(2635.44580, 0.00000)"><path transform="scale(0.48828, -0.48828)" d="M 190 0 V 72 Q 446 72 446 137 V 1212 Q 340 1161 178 1161 V 1233 Q 429 1233 557 1364 H 586 Q 593 1364 599 1358 T 606 1346 V 137 Q 606 72 862 72 V 0 H 190 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 500.00000, 0.00000)" d="M 195 158 Q 243 88 324 54 T 498 20 Q 617 20 667 121 T 717 352 Q 717 410 706 468 T 671 576 T 602 656 T 496 686 H 360 Q 342 686 342 705 V 723 Q 342 739 360 739 L 473 748 Q 545 748 592 802 T 662 933 T 684 1081 Q 684 1179 638 1242 T 498 1305 Q 420 1305 349 1275 T 236 1186 Q 240 1187 243 1187 T 250 1188 Q 296 1188 327 1156 T 358 1079 Q 358 1035 327 1003 T 250 971 Q 205 971 173 1003 T 141 1079 Q 141 1167 194 1232 T 330 1330 T 498 1364 Q 560 1364 629 1345 T 754 1292 T 845 1204 T 881 1081 Q 881 995 842 922 T 737 796 T 590 717 Q 679 700 759 650 T 887 522 T 936 354 Q 936 241 874 149 T 711 6 T 498 -45 Q 402 -45 305 -9 T 147 101 T 86 276 Q 86 327 120 361 T 205 395 Q 238 395 265 379 T 308 336 T 324 276 Q 324 226 289 192 T 205 158 H 195 Z "/></g></g></g></g></svg> <svg class="gs_fsvg" aria-label=" TeV " width="35px" height="13px" style="vertical-align:-1px;"><g transform="matrix(0.01900, 0.00000, 0.00000, 0.01900, 0.00000, 12.97700)"><g><g><path transform="scale(0.48828, -0.48828)" d="M 346 0 V 72 Q 449 72 546 83 T 643 137 V 1262 Q 643 1306 618 1316 T 539 1327 H 453 Q 284 1327 213 1253 Q 176 1216 160 1134 T 133 930 H 74 L 113 1399 H 1364 L 1403 930 H 1343 Q 1331 1062 1316 1139 T 1264 1253 Q 1192 1327 1024 1327 H 938 Q 901 1327 880 1324 T 847 1306 T 834 1262 V 137 Q 834 95 931 83 T 1130 72 V 0 H 346 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 638.88599, 0.00000)" d="M 510 -23 Q 385 -23 280 42 T 116 217 T 57 449 Q 57 569 111 677 T 263 851 T 481 918 Q 575 918 644 886 T 759 799 T 827 667 T 850 500 Q 850 473 829 473 H 236 V 451 Q 236 281 304 159 T 528 37 Q 591 37 644 65 T 737 143 T 791 250 Q 793 257 798 262 T 811 268 H 829 Q 850 268 850 242 Q 821 126 725 51 T 510 -23 Z M 238 524 H 705 Q 705 601 683 680 T 612 811 T 481 864 Q 365 864 301 755 T 238 524 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 1083.32593, 0.00000)" d="M 721 -23 L 238 1262 Q 220 1305 169 1316 T 39 1327 V 1399 H 602 V 1327 Q 432 1327 432 1274 Q 433 1271 433 1268 T 434 1262 L 827 217 L 1198 1206 Q 1202 1214 1202 1231 Q 1202 1281 1156 1304 T 1053 1327 V 1399 H 1495 V 1327 Q 1418 1327 1359 1298 T 1276 1206 L 813 -23 Q 807 -45 780 -45 H 754 Q 727 -45 721 -23 Z "/></g></g></g></svg></a></div></div><div id="gsc_oci_table"><div class="gs_scl"><div class="gsc_oci_field">Authors</div><div class="gsc_oci_value">Morad Aaboud, Georges Aad, Brad Abbott, Dale Charles Abbott, Ovsat Abdinov, Baptiste Abeloos, Deshan Kavishka Abhayasinghe, Syed Haider Abidi, OS AbouZeid, NL Abraham, Halina Abramowicz, Henso Abreu, Yiming Abulaiti, Bobby Samir Acharya, Shunsuke Adachi, Lennart Adam, Leszek Adamczyk, Lukas Adamek, Jahred Adelman, Michael Adersberger, Aytul Adiguzel, Tim Adye, AA Affolder, Yoav Afik, Catalin Agheorghiesei, JA Aguilar-Saavedra, Faig Ahmadov, Giulio Aielli, Shunichi Akatsuka, TPA Åkesson, Ece Akilli, AV Akimov, Gian Luigi Alberghi, Justin Albert, Pietro Albicocco, MJ Alconada Verzini, S Alderweireldt, Martin Aleksa, IN Aleksandrov, Calin Alexa, Didier Alexandre, Theodoros Alexopoulos, Muhammad Alhroob, Babar Ali, Gianluca Alimonti, John Alison, Steven Patrick Alkire, Corentin Allaire, BMM Allbrooke, Benjamin William Allen, PP Allport, Alberto Aloisio, Alejandro Alonso, Francisco Alonso, Cristiano Alpigiani, Azzah Aziz Alshehri, MI Alstaty, B Alvarez Gonzalez, D Álvarez Piqueras, MG Alviggi, Brian Thomas Amadio, Y Amaral Coutinho, Alessandro Ambler, Luca Ambroz, Christoph Amelung, D Amidei, SP Amor Dos Santos, Simone Amoroso, Cherifa Sabrina Amrouche, Fenfen An, Christos Anastopoulos, Lucian Stefan Ancu, Nansi Andari, Timothy Andeen, Christoph Falk Anders, John Kenneth Anders, KJ Anderson, Attilio Andreazza, V Andrei, Christopher Ryan Anelli, Stylianos Angelidakis, Ivan Angelozzi, Aaron Angerami, AV Anisenkov, Alberto Annovi, Claire Antel, Matthew Thomas Anthony, Mario Antonelli, DJA Antrim, Fabio Anulli, Masato Aoki, JA Aparisi Pozo, L Aperio Bella, Giorgi Arabidze, JP Araque, V Araujo Ferraz, R Araujo Pereira, ATH Arce, Rose Elisabeth Ardell, Francisco Anuar Arduh, Jean-Francois Arguin, Spyridon Argyropoulos, J-H Arling, Aaron James Armbruster, Lewis James Armitage, Alexander Armstrong, Olivier Arnaez, Hannah Arnold, Miguel Arratia, Ozan Arslan, Andrei Artamonov, Giacomo Artoni, Sebastian Artz, Shoji Asai, Nedaa Asbah, Eleni Myrto Asimakopoulou, Lily Asquith, Ketevi Assamagan, Robert Astalos, Ryan Justin Atkin, Markus Atkinson, Naim Bora Atlay, Kamil Augsten, Giuseppe Avolio, R Avramidou, Mohamad Kassem Ayoub, Adam Maxwell Azoulay, Georges Azuelos, AE Baas, Matthew John Baca, Henri Bachacou, Konstantinos Bachas, Moritz Backes, Paolo Bagnaia, Marzieh Bahmani, H Bahrasemani, AJ Bailey, Virginia Ruth Bailey, JT Baines, Milena Bajic, Christos Bakalis, OK Baker, Pepijn Johannes Bakker, D Bakshi Gupta, Shyam Balaji, EM Baldin, Petr Balek, Fabrice Balli, William Keaton Balunas, Johannes Balz</div></div><div class="gs_scl"><div class="gsc_oci_field">Publication date</div><div class="gsc_oci_value">2019/8</div></div><div class="gs_scl"><div class="gsc_oci_field">Journal</div><div class="gsc_oci_value">The European Physical Journal C</div></div><div class="gs_scl"><div class="gsc_oci_field">Volume</div><div class="gsc_oci_value">79</div></div><div class="gs_scl"><div class="gsc_oci_field">Pages</div><div class="gsc_oci_value">1-40</div></div><div class="gs_scl"><div class="gsc_oci_field">Publisher</div><div class="gsc_oci_value">Springer Berlin Heidelberg</div></div><div class="gs_scl"><div class="gsc_oci_field">Description</div><div class="gsc_oci_value" id="gsc_oci_descr"><div class="gsh_small"> <div class="gsh_csp">Algorithms used for the reconstruction and identification of electrons in the central region of the ATLAS detector at the Large Hadron Collider (LHC) are presented in this paper; these algorithms are used in ATLAS physics analyses that involve electrons in the final state and which are based on the 2015 and 2016 proton–proton collision data produced by the LHC at <svg class="gs_fsvg" aria-label=" s " width="18px" height="15px" style="vertical-align:-3px;"><g transform="matrix(0.01400, 0.00000, 0.00000, 0.01400, 0.00000, 11.16499)"><g><g><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 0.00000, -717.49945)" d="M 719 -1954 L 311 -1057 L 190 -1149 Q 184 -1155 176 -1155 Q 167 -1155 157 -1146 T 147 -1126 Q 147 -1116 156 -1110 L 399 -926 Q 405 -920 414 -920 Q 427 -920 434 -934 L 801 -1741 L 1671 63 Q 1681 82 1706 82 Q 1723 82 1735 70 T 1747 41 Q 1747 31 1745 27 L 793 -1948 Q 780 -1966 760 -1966 H 737 Q 727 -1966 719 -1954 Z "/><g transform="translate(833.33002, 0.00000)"><path transform="scale(0.48828, -0.48828)" d="M 178 125 Q 233 31 399 31 Q 471 31 536 55 T 643 129 T 686 248 Q 686 301 648 335 T 555 381 L 444 403 Q 368 422 319 474 T 270 600 Q 270 691 319 761 T 450 868 T 618 905 Q 711 905 784 860 T 858 729 Q 858 682 831 646 T 758 610 Q 731 610 711 627 T 692 672 Q 692 696 705 718 T 741 754 T 788 768 Q 770 812 720 832 T 614 852 Q 562 852 510 831 T 426 769 T 395 674 Q 395 637 421 609 T 485 569 L 604 545 Q 661 533 708 502 T 783 425 T 811 319 Q 811 243 768 169 T 664 51 Q 555 -23 397 -23 Q 288 -23 197 27 T 106 176 Q 106 232 138 273 T 227 315 Q 260 315 282 295 T 305 242 Q 305 195 270 160 T 188 125 H 178 Z "/><line transform="translate(0.00000, -717.49945)" x1="0" x2="468.78000" y1="0" y2="0" style="stroke-width:40.00000"/></g></g></g></g></svg> = 13 <svg class="gs_fsvg" aria-label=" TeV " width="26px" height="10px" style="vertical-align:0px;"><g transform="matrix(0.01400, 0.00000, 0.00000, 0.01400, 0.00000, 9.56200)"><g><g><path transform="scale(0.48828, -0.48828)" d="M 346 0 V 72 Q 449 72 546 83 T 643 137 V 1262 Q 643 1306 618 1316 T 539 1327 H 453 Q 284 1327 213 1253 Q 176 1216 160 1134 T 133 930 H 74 L 113 1399 H 1364 L 1403 930 H 1343 Q 1331 1062 1316 1139 T 1264 1253 Q 1192 1327 1024 1327 H 938 Q 901 1327 880 1324 T 847 1306 T 834 1262 V 137 Q 834 95 931 83 T 1130 72 V 0 H 346 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 638.88599, 0.00000)" d="M 510 -23 Q 385 -23 280 42 T 116 217 T 57 449 Q 57 569 111 677 T 263 851 T 481 918 Q 575 918 644 886 T 759 799 T 827 667 T 850 500 Q 850 473 829 473 H 236 V 451 Q 236 281 304 159 T 528 37 Q 591 37 644 65 T 737 143 T 791 250 Q 793 257 798 262 T 811 268 H 829 Q 850 268 850 242 Q 821 126 725 51 T 510 -23 Z M 238 524 H 705 Q 705 601 683 680 T 612 811 T 481 864 Q 365 864 301 755 T 238 524 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 1083.32593, 0.00000)" d="M 721 -23 L 238 1262 Q 220 1305 169 1316 T 39 1327 V 1399 H 602 V 1327 Q 432 1327 432 1274 Q 433 1271 433 1268 T 434 1262 L 827 217 L 1198 1206 Q 1202 1214 1202 1231 Q 1202 1281 1156 1304 T 1053 1327 V 1399 H 1495 V 1327 Q 1418 1327 1359 1298 T 1276 1206 L 813 -23 Q 807 -45 780 -45 H 754 Q 727 -45 721 -23 Z "/></g></g></g></svg>. The performance of the electron reconstruction, identification, isolation, and charge identification algorithms is evaluated in data and in simulated samples using electrons from <svg class="gs_fsvg" aria-label=" Z → e e " width="45px" height="10px" style="vertical-align:0px;"><g transform="matrix(0.01400, 0.00000, 0.00000, 0.01400, 0.00000, 9.56200)"><g><g><path transform="scale(0.48828, -0.48828)" d="M 119 16 Q 119 46 133 63 L 1260 1327 H 958 Q 808 1327 709 1291 T 546 1173 T 438 948 Q 434 930 418 930 H 399 Q 379 930 379 956 L 508 1380 Q 512 1399 528 1399 H 1462 Q 1479 1399 1479 1382 Q 1479 1352 1466 1339 L 344 78 H 655 Q 836 78 939 122 T 1103 263 T 1221 537 Q 1223 544 1228 549 T 1241 555 H 1260 Q 1280 555 1280 528 L 1118 18 Q 1109 0 1098 0 H 137 Q 119 0 119 16 Z "/><g transform="translate(754.19751, 0.00000)"><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 277.77780, 0.00000)" d="M 154 471 Q 137 471 126 484 T 115 512 Q 115 527 126 540 T 154 553 H 1708 Q 1630 609 1570 682 T 1470 840 T 1413 1020 Q 1413 1047 1434 1047 H 1475 Q 1482 1047 1487 1041 T 1495 1028 Q 1512 940 1548 864 T 1640 724 T 1763 612 T 1917 535 Q 1931 526 1931 512 Q 1931 496 1917 492 Q 1810 455 1721 381 T 1574 208 T 1495 -4 Q 1493 -11 1487 -17 T 1475 -23 H 1434 Q 1413 -23 1413 4 Q 1439 144 1517 267 T 1708 471 H 154 Z "/></g><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 2309.75317, 0.00000)" d="M 412 -23 Q 314 -23 240 28 T 128 165 T 90 348 Q 90 494 163 622 T 363 828 T 633 905 Q 721 905 786 859 T 852 729 Q 852 611 758 553 T 546 482 T 285 469 H 279 Q 246 347 246 260 Q 246 169 288 100 T 416 31 Q 538 31 650 87 T 834 242 Q 840 248 850 248 Q 860 248 870 236 T 881 215 Q 881 207 877 203 Q 802 98 675 37 T 412 -23 Z M 291 522 Q 410 522 511 533 T 694 588 T 776 727 Q 776 765 755 793 T 700 837 T 631 852 Q 544 852 474 805 T 360 682 T 291 522 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 2775.36328, 0.00000)" d="M 412 -23 Q 314 -23 240 28 T 128 165 T 90 348 Q 90 494 163 622 T 363 828 T 633 905 Q 721 905 786 859 T 852 729 Q 852 611 758 553 T 546 482 T 285 469 H 279 Q 246 347 246 260 Q 246 169 288 100 T 416 31 Q 538 31 650 87 T 834 242 Q 840 248 850 248 Q 860 248 870 236 T 881 215 Q 881 207 877 203 Q 802 98 675 37 T 412 -23 Z M 291 522 Q 410 522 511 533 T 694 588 T 776 727 Q 776 765 755 793 T 700 837 T 631 852 Q 544 852 474 805 T 360 682 T 291 522 Z "/></g></g></g></svg> and <svg class="gs_fsvg" aria-label=" J / ψ → e e " width="62px" height="14px" style="vertical-align:-4px;"><g transform="matrix(0.01400, 0.00000, 0.00000, 0.01400, 0.00000, 10.50000)"><g><g><path transform="scale(0.48828, -0.48828)" d="M 223 123 Q 243 66 297 37 T 414 8 Q 478 8 537 52 T 638 164 T 696 297 L 938 1266 Q 940 1274 940 1278 T 942 1286 Q 942 1308 926 1313 Q 872 1327 707 1327 Q 686 1327 686 1354 Q 690 1370 692 1379 T 701 1393 T 721 1399 H 1276 Q 1296 1399 1296 1372 Q 1288 1327 1270 1327 Q 1198 1327 1161 1316 T 1110 1257 L 868 289 Q 845 194 774 117 T 607 -2 T 412 -45 Q 304 -45 222 15 T 141 178 Q 141 246 178 295 T 283 344 Q 322 344 348 320 T 375 258 Q 375 203 334 162 T 238 121 Q 227 121 223 123 Z "/><g transform="translate(650.68103, 0.00000)"><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 55.55556, 0.00000)" d="M 115 -471 Q 115 -465 117 -463 L 829 1511 Q 833 1523 843 1529 T 866 1536 Q 884 1536 895 1525 T 907 1495 V 1487 L 195 -487 Q 183 -512 156 -512 Q 139 -512 127 -500 T 115 -471 Z "/></g><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 1261.79211, 0.00000)" d="M 487 -399 L 584 -18 Q 495 -18 411 15 T 276 114 T 225 272 Q 225 325 244 393 T 284 518 T 342 668 Q 369 743 369 791 Q 369 852 324 852 Q 243 852 190 768 T 113 582 Q 109 569 96 569 H 72 Q 55 569 55 588 V 594 Q 88 716 156 810 T 328 905 Q 401 905 451 857 T 502 735 Q 502 697 485 655 Q 449 562 428 507 T 388 382 T 369 258 Q 369 158 431 103 T 596 35 L 940 1409 Q 944 1421 956 1421 H 981 Q 997 1421 997 1401 L 655 31 H 678 Q 764 31 859 82 T 1033 216 T 1158 394 T 1204 573 Q 1204 635 1184 669 T 1132 741 T 1100 801 Q 1100 841 1133 874 T 1206 907 Q 1255 907 1276 862 T 1298 760 Q 1298 700 1286 640 T 1253 498 Q 1206 311 1057 162 Q 1006 111 944 68 T 814 1 T 676 -23 H 643 L 547 -408 Q 543 -420 530 -420 H 506 Q 498 -420 492 -414 T 487 -399 Z "/><g transform="translate(1949.06116, 0.00000)"><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 277.77780, 0.00000)" d="M 154 471 Q 137 471 126 484 T 115 512 Q 115 527 126 540 T 154 553 H 1708 Q 1630 609 1570 682 T 1470 840 T 1413 1020 Q 1413 1047 1434 1047 H 1475 Q 1482 1047 1487 1041 T 1495 1028 Q 1512 940 1548 864 T 1640 724 T 1763 612 T 1917 535 Q 1931 526 1931 512 Q 1931 496 1917 492 Q 1810 455 1721 381 T 1574 208 T 1495 -4 Q 1493 -11 1487 -17 T 1475 -23 H 1434 Q 1413 -23 1413 4 Q 1439 144 1517 267 T 1708 471 H 154 Z "/></g><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 3504.61670, 0.00000)" d="M 412 -23 Q 314 -23 240 28 T 128 165 T 90 348 Q 90 494 163 622 T 363 828 T 633 905 Q 721 905 786 859 T 852 729 Q 852 611 758 553 T 546 482 T 285 469 H 279 Q 246 347 246 260 Q 246 169 288 100 T 416 31 Q 538 31 650 87 T 834 242 Q 840 248 850 248 Q 860 248 870 236 T 881 215 Q 881 207 877 203 Q 802 98 675 37 T 412 -23 Z M 291 522 Q 410 522 511 533 T 694 588 T 776 727 Q 776 765 755 793 T 700 837 T 631 852 Q 544 852 474 805 T 360 682 T 291 522 Z "/><path transform="matrix(0.48828, 0.00000, 0.00000, -0.48828, 3970.22656, 0.00000)" d="M 412 -23 Q 314 -23 240 28 T 128 165 T 90 348 Q 90 494 163 622 T 363 828 T 633 905 Q 721 905 786 859 T 852 729 Q 852 611 758 553 T 546 482 T 285 469 H 279 Q 246 347 246 260 Q 246 169 288 100 T 416 31 Q 538 31 650 87 T 834 242 Q 840 248 850 248 Q 860 248 870 236 T 881 215 Q 881 207 877 203 Q 802 98 675 37 T 412 -23 Z M 291 522 Q 410 522 511 533 T 694 588 T 776 727 Q 776 765 755 793 T 700 837 T 631 852 Q 544 852 474 805 T 360 682 T 291 522 Z "/></g></g></g></svg> decays. Typical examples of combinations of electron reconstruction, identification, and isolation operating points used in ATLAS physics analyses are shown.</div></div></div></div><div class="gs_scl"><div class="gsc_oci_field">Total citations</div><div class="gsc_oci_value"><div style="margin-bottom:1em"><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5">Cited by 1189</a></div><div id="gsc_oci_graph_wrapper"><div id="gsc_oci_graph" style="width:237px;"><div id="gsc_oci_graph_x"></div><div id="gsc_oci_graph_bars"><span class="gsc_oci_g_t" style="left:0px">2018</span><span class="gsc_oci_g_t" style="left:33px">2019</span><span class="gsc_oci_g_t" style="left:66px">2020</span><span class="gsc_oci_g_t" style="left:99px">2021</span><span class="gsc_oci_g_t" style="left:132px">2022</span><span class="gsc_oci_g_t" style="left:165px">2023</span><span class="gsc_oci_g_t" style="left:198px">2024</span><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2018&as_yhi=2018" class="gsc_oci_g_a" style="left:5px;height:1px;top:56px;z-index:7"><span class="gsc_oci_g_al">5</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2019&as_yhi=2019" class="gsc_oci_g_a" style="left:38px;height:42px;top:15px;z-index:6"><span class="gsc_oci_g_al">192</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2020&as_yhi=2020" class="gsc_oci_g_a" style="left:71px;height:57px;top:0px;z-index:5"><span class="gsc_oci_g_al">258</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2021&as_yhi=2021" class="gsc_oci_g_a" style="left:104px;height:46px;top:11px;z-index:4"><span class="gsc_oci_g_al">208</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2022&as_yhi=2022" class="gsc_oci_g_a" style="left:137px;height:31px;top:26px;z-index:3"><span class="gsc_oci_g_al">139</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2023&as_yhi=2023" class="gsc_oci_g_a" style="left:170px;height:56px;top:1px;z-index:2"><span class="gsc_oci_g_al">253</span></a><a href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071,4336965122269208500&as_sdt=5&as_ylo=2024&as_yhi=2024" class="gsc_oci_g_a" style="left:203px;height:29px;top:28px;z-index:1"><span class="gsc_oci_g_al">129</span></a></div></div></div></div></div><div class="gs_scl"><div class="gsc_oci_field">Scholar articles</div><div class="gsc_oci_value"><div class="gsc_oci_merged_snippet"><div><a href="/scholar?oi=bibs&cluster=12201393953778976071&btnI=1&hl=en">Electron reconstruction and identification in the ATLAS experiment using the 2015 and 2016 LHC proton–proton collision data at s= 13 s= 13 TeV TeV</a></div><div>M Aaboud, G Aad, B Abbott, DC Abbott, O Abdinov… - The European Physical Journal C, 2019</div><div><a class="gsc_oms_link" href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=12201393953778976071&as_sdt=5">Cited by 1187</a> <a class="gsc_oms_link" href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&q=related:R0WYuycPVKkJ:scholar.google.com/">Related articles</a> <a class="gsc_oms_link" href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cluster=12201393953778976071">All 78 versions</a> </div></div><div class="gsc_oci_merged_snippet"><div><a href="/scholar?oi=bibs&cluster=4336965122269208500&btnI=1&hl=en">Electron reconstruction and identification in the ATLAS experiment using the 2015 and 2016 LHC proton-proton collision data at $$\sqrt {s}= 13$$ TeV.(2019)</a><span class="gsc_oms_mm">*</span></div><div>ATLAS Collaboration - arXiv preprint arXiv:1902.04655</div><div><a class="gsc_oms_link" href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&cites=4336965122269208500&as_sdt=5">Cited by 5</a> <a class="gsc_oms_link" href="https://scholar.google.co.in/scholar?oi=bibs&hl=en&q=related:tF8d7Mz-LzwJ:scholar.google.com/">Related articles</a> </div></div></div></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.co.in/intl/en/policies/privacy/">Privacy</a><a href="//www.google.co.in/intl/en/policies/terms/">Terms</a><a href="javascript:void(0)" ontouchstart="gs_evt_dsp(event)" role="button" aria-controls="gs_ftr_mnu" aria-haspopup="true" class="gs_press gs_md_tb">Help</a></div><div id="gs_ftr_mnu" class="gs_md_d gs_md_ds gs_ttzi gs_md_ulr" role="menu" tabindex="-1"><a role="menuitem" href="/intl/en/scholar/about.html" tabindex="-1" class="gs_md_li">About Scholar</a><a role="menuitem" href="//support.google.com/websearch?p=scholar_dsa&hl=en" tabindex="-1" class="gs_md_li">Search help</a></div></div></div></body></html>