CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIzMiIgaGVpZ2h0PSIzMiIgZmlsbD0ibm9uZSI+PHBhdGggZmlsbD0iI0IyMEYwMyIgZD0iTTE2IDNhMTMgMTMgMCAxIDAgMTMgMTNBMTMuMDE1IDEzLjAxNSAwIDAgMCAxNiAzbTAgMjRhMTEgMTEgMCAxIDEgMTEtMTEgMTEuMDEgMTEuMDEgMCAwIDEtMTEgMTEiLz48cGF0aCBmaWxsPSIjQjIwRjAzIiBkPSJNMTcuMDM4IDE4LjYxNUgxNC44N0wxNC41NjMgOS41aDIuNzgzem0tMS4wODQgMS40MjdxLjY2IDAgMS4wNTcuMzg4LjQwNy4zODkuNDA3Ljk5NCAwIC41OTYtLjQwNy45ODQtLjM5Ny4zOS0xLjA1Ny4zODktLjY1IDAtMS4wNTYtLjM4OS0uMzk4LS4zODktLjM5OC0uOTg0IDAtLjU5Ny4zOTgtLjk4NS40MDYtLjM5NyAxLjA1Ni0uMzk3Ii8+PC9zdmc+);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="390"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'managed',cRay: '91c6a67a6a824703',cH: 'bbuJTUPkZ2qGMitogP_1huKpfx2idgHlfvPei4jOIC0-1741314410-1.2.1.1-gfCjX_0V.zJiOf2iqVWvPT5taBPhkuUrNYkv8rEgMy4F8mBrg9plYbtSquMxxHe8',cUPMDTk: "\/abstracts\/search?q=rank%20-principal%20certificate&__cf_chl_tk=qM1iiBEuGFsa79dCl0ZxCaDoKYuKxfmZ_NPzUWBe1DE-1741314410-1.0.1.1-qjOcNioeaY3bcmcf341N5X5r0rl6Ozc5m77UZAxlH6I",cFPWv: 'g',cITimeS: '1741314410',cTTimeMs: '1000',cMTimeMs: '390000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=rank%20-principal%20certificate&__cf_chl_f_tk=qM1iiBEuGFsa79dCl0ZxCaDoKYuKxfmZ_NPzUWBe1DE-1741314410-1.0.1.1-qjOcNioeaY3bcmcf341N5X5r0rl6Ozc5m77UZAxlH6I",md: "YaYAYK_cWzSbffD1DzADnCK_g07PtmmhYoTf4VZmJKk-1741314410-1.2.1.1-aZZdu51jdbVWOqM8Md4qBb2qdeKNBSeTlk8dINyzdB_GbtSlQWfpj1OfKwqvUuaxPlqFZAeIrxUVllbjxcarYw2qYyNpmy6nBuxFZjwm1EDRHlhJuWJjNWV6EYlelpfj6uuQj5eBNcdB0lRPmsiHg8NHtcUdQZm8jDtiZIaUgdZJPzlaxeGkuVumCP1v9VwLCgPUu0U4cda6fl8j2bKO4AMjj8ZsFN2DC1HN5mfKyuGHZDSG_9lbBSwLQVDkpSIA.Mp5eTsG5mVIpiddYF0q3Z78kt1sdEH9BoQYzmQUoWUb2PzC81kZtNKTkKQah5P_VKnk8_4vMjSovs0VJWIr_V.fTv1MQfrqll0vAsyFjjK5qpWbIbefGsYAGMG8GBtZYsXWOnH4nyQ0kv3bxEaVzmcF095odqpno79ZOvDD51DxOhovb1UjTpPj0yZt7mE3nfk6nvQKnHrPfU7YptL8jy9Urvd_tzEm2NoGWX5j1tE_pVKyFuT7Z3KFr0qejDqv_ycYaoBZ5CDi65VpbnzMJHT177NW6Lh4.v1FvTCzHOhbmyw4vJnEHK1YCfJPiyQ.ulKSUUkUjBLl9M_nxpeysnA6Ldzs1jb3XZRW5c_DkqBw1TnpSF7MP1uof19xeVHyS_B55xNVYEuWVIip0HfAMqImRoINg16Ew5ygcfaLk_PwBa4E4Yg3GEiSPcT.g__pQzIYrw7quiszo4qTcxf13B_0yanCrcaQOPkBc1S1_Mz9.TZEHdOiq5NocakdAGZwnZ.jb7Cpq9ezmiq2g9tMyuF1bI47S9b.NURq0WeWUM_2kSx.q4sibHCbN7hfhNIJM5LfaupuHayRRl.wWUQTns4sTHwn3FF_aYRopPo1CPgEI98bxthhYHhBY1zENAxyKgoCzOu.DRfLfvcoPNkCSefnXRJZC_ZkYqcIw7s82iX699H4qgBB_KL5pAmQv0cXNbkW8HP32KKicComlM0DejKdKtQlmDEovTLeMhEQJ6NiLtH_KW7oa8VWTtio7Y35FWJCOtfuRD8FXdQCeg9T.xZfdCWpbErEEfqhn3uD2NPoR.cR8Ww4jJ6S3okFnoukuCIjPFtb61QOVUmWAtLpqOJ98P2qr1A4J9ZVuafUHRz39W.dWzVD6NxHpPmvpmcz6CpWfOoq_Na0vJtrWq5Rect5NJka2xOE0QnMOXOgr0_iY0iB41Of4mxD1hzrcISPgs4pGjXr_FWIlouAPgrfHVDKgDdv4Vqil5RPUT_KwbeAN.lSpEEjE30SwYxn2WUQb6zLndMFIs3S3MwJ2ckQVJ6Z_W_HFnatMqrNKxh4sZEyjafndK5OUoEEP6RpgJ7E",mdrd: "fMt.3tddQ0bvOGXwmRKwEqosqsu5E__.KtMcZgUewC8-1741314410-1.2.1.1-LvaRotYNCHH8U8BJ8ZpFOwyyr7Gd.vFwZSImAHPymAjAVuPa6qC2bkoSLcWVX6i64Et0KG8p_IBPdPxhfI_UcwHMljweYOvCh2.f7Efrr4QhU5nXGHjD3CKq43.Wv49nlajflBJgUax9zBowKXZsxjnQ1v02QFo7w68hPharV_V1N0gGq5C4xP1PhJagm2vbcSPS_VUuBgk1be9Dc5_4emYAuAXaGwuwdtoD4SBzvM1FO08ir2CL_vAaNHS29XIPtY6.gT7dq5wbJA86belQ6wJZX71mMirfJGDaXz_wNGFRUxAx0NB4Twfg92thjAQGnj5Z7lriyrwCLZ3B.yOhTnafLY5HYpwgkccQeBuryeEZqrs8k2jT.CW.bnvuIp3EVpXVwe3l5jQOuCfcZfDjRreLXCBfhPaen6TY_n3XJvjfVl4_J0kVHcCCiMY6eVrau4LHbV9Bs3PJ2R9aq89vNWTWmU2OMKEtmS3g7inNNF.ohIX68RFHWs9NC2AzalMg8aIQWPMgI7TL3zcZyoQ6NZ_rbed3jovWfPfZdokxOW.S0FQfeVnu5bizgLkpeIQOrynTF5IusRnE16U84WwofcnwC7NH9ZLW_IYt6DqLqCc02SThiVdLy6EIv4TBeKgkloSvaG7Src.ff7f3fNcUnqaZLPVOWiyejhqYpMDqqmiA5HPXVyUC6w9giXvp1_JQZ4RUsRF1HdUo6ohmP7sNe0vJXpxIwOVP0tn19rz1XPychFvkBZq0US01p0pY1SUYRYvmqSIqL6BXMa18z7lx_aZqBnAhnlQlQz3C5pCzfHSzKS8Hyn4NloUNegi6KrT3_3lq1jrmoHfzOsXLXI_VHCfmD.596pXetnTmZBBEHQjkpXpKnNENHcCEbIJgwMzE6i5EgqVwbf6c3vuiCbV8SAWIV1D5KpZFsUdJ0u7A2WiTfqOvP33JvXLW77IQp9Z6dlfbOxyAOmu.Qu10VCVnO7JXm0y3YOi1V17sR9X2KeFhYNOVLayGlBPgI39kry1BNx34nZ_8RraqzBgdxN3J.r_M5LjmIjN7mxxbgUr5RppuvVTfsrTnVrbgm9p_i_7v8CElPkv6rDM6460M.iHXv1OEGfhJGzk30GcVeJ.iaLXvkfO8HWxZVLCbePNNFmCSTCYMyfVQpZY7rS397q16_Pj.I23vPrb_s6WxxfapLSfhBRv5Mh6FEAyyDm6XgQ5vp3SBTGv63HO876gYJwNm6s7noY_Zww_WBaoytM5DwvHfzpNDlCvPgMKnS4l7jMoEsLsLAltNLd8R2x98Tq2B0qREqBf1VHbVuzj5Q4tJ1.lgPsg5PSrC3FUiKUBJ2v_nkcuaSm0wFSHdHtv0XaNUfKw6AkuUPBeNXUUBqb2WrUUuVOFNX9XtUwVA5j5..bdofYqqxS8SCfXLc1yDvnWYw6nspqUv2ejPNT4TS4u9hfBTzIQVK9RiS7O4zy4_9itmBRI6sZMDV4kknjRkwM.UPgkbGITb6yzD9XwyTAigbXxMzCUQR_kC.2Q_XpzfCgGrCnS8am6HpIp5cLBWrADS3TCeFyghAHrnLHqlqB0fpYCwkEzyHWqME0CLNsjDkovfRs2CuOAHUC9iFBPNiHFBxWvAm5Lv5GGwEmqAzV5zJsT1DYTOQSu6ZJqwzN3aMSIRhB8PNU_Wn2LbcFntrmo9PZoZyFG_fH3jB97eLavfdLXZr.mO8OKDsIiR9LH.m0wha6d16zw3zj4L2owYt5EJ4.ObIPmB2DzqmmQ_TIVsabLgEmfyXN3vyfgz8KIb3PXeAyU1MmNb95wrtAz6i7g9cQWXrMHXzyLoWax77PZtonnPNMMF25uJqeKUf55f799K7PXD4KG4928N6H9IoHiGrJvyhzZy1B7ISKhGw3XdqMuT6OC7ooJK96dTKXZWmWKAeBU.onfVfxMEQXhGLN0pWTsmXEtY7R2dWFbJvH8JZH_yJGyl5y4OV_Prgy1MQViu"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/g/orchestrate/chl_page/v1?ray=91c6a67a6a824703';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=rank%20-principal%20certificate&__cf_chl_rt_tk=qM1iiBEuGFsa79dCl0ZxCaDoKYuKxfmZ_NPzUWBe1DE-1741314410-1.0.1.1-qjOcNioeaY3bcmcf341N5X5r0rl6Ozc5m77UZAxlH6I" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>