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29.astra-icon-shopping-cart::after {content: "\f07a";font-family: Astra;}.astra-icon-shopping-bag::after {content: "\f290";font-family: Astra;}.astra-icon-shopping-basket::after {content: "\f291";font-family: Astra;}.astra-icon-circle-o::after {content: "\e903";font-family: Astra;}.astra-icon-certificate::after {content: "\e902";font-family: Astra;}blockquote {padding: 1.2em;}:root .has-ast-global-color-0-color{color:var(--ast-global-color-0);}:root .has-ast-global-color-0-background-color{background-color:var(--ast-global-color-0);}:root .wp-block-button .has-ast-global-color-0-color{color:var(--ast-global-color-0);}:root .wp-block-button .has-ast-global-color-0-background-color{background-color:var(--ast-global-color-0);}:root .has-ast-global-color-1-color{color:var(--ast-global-color-1);}:root .has-ast-global-color-1-background-color{background-color:var(--ast-global-color-1);}:root .wp-block-button .has-ast-global-color-1-color{color:var(--ast-global-color-1);}:root .wp-block-button .has-ast-global-color-1-background-color{background-color:var(--ast-global-color-1);}:root .has-ast-global-color-2-color{color:var(--ast-global-color-2);}:root .has-ast-global-color-2-background-color{background-color:var(--ast-global-color-2);}:root .wp-block-button .has-ast-global-color-2-color{color:var(--ast-global-color-2);}:root .wp-block-button .has-ast-global-color-2-background-color{background-color:var(--ast-global-color-2);}:root .has-ast-global-color-3-color{color:var(--ast-global-color-3);}:root .has-ast-global-color-3-background-color{background-color:var(--ast-global-color-3);}:root .wp-block-button .has-ast-global-color-3-color{color:var(--ast-global-color-3);}:root .wp-block-button .has-ast-global-color-3-background-color{background-color:var(--ast-global-color-3);}:root .has-ast-global-color-4-color{color:var(--ast-global-color-4);}:root .has-ast-global-color-4-background-color{background-color:var(--ast-global-color-4);}:root .wp-block-button .has-ast-global-color-4-color{color:var(--ast-global-color-4);}:root .wp-block-button .has-ast-global-color-4-background-color{background-color:var(--ast-global-color-4);}:root .has-ast-global-color-5-color{color:var(--ast-global-color-5);}:root .has-ast-global-color-5-background-color{background-color:var(--ast-global-color-5);}:root .wp-block-button .has-ast-global-color-5-color{color:var(--ast-global-color-5);}:root .wp-block-button .has-ast-global-color-5-background-color{background-color:var(--ast-global-color-5);}:root .has-ast-global-color-6-color{color:var(--ast-global-color-6);}:root .has-ast-global-color-6-background-color{background-color:var(--ast-global-color-6);}:root .wp-block-button .has-ast-global-color-6-color{color:var(--ast-global-color-6);}:root .wp-block-button .has-ast-global-color-6-background-color{background-color:var(--ast-global-color-6);}:root .has-ast-global-color-7-color{color:var(--ast-global-color-7);}:root .has-ast-global-color-7-background-color{background-color:var(--ast-global-color-7);}:root .wp-block-button .has-ast-global-color-7-color{color:var(--ast-global-color-7);}:root .wp-block-button .has-ast-global-color-7-background-color{background-color:var(--ast-global-color-7);}:root .has-ast-global-color-8-color{color:var(--ast-global-color-8);}:root .has-ast-global-color-8-background-color{background-color:var(--ast-global-color-8);}:root .wp-block-button .has-ast-global-color-8-color{color:var(--ast-global-color-8);}:root .wp-block-button .has-ast-global-color-8-background-color{background-color:var(--ast-global-color-8);}:root{--ast-global-color-0:#0170B9;--ast-global-color-1:#3a3a3a;--ast-global-color-2:#3a3a3a;--ast-global-color-3:#4B4F58;--ast-global-color-4:#F5F5F5;--ast-global-color-5:#FFFFFF;--ast-global-color-6:#E5E5E5;--ast-global-color-7:#424242;--ast-global-color-8:#000000;}:root {--ast-border-color : #dddddd;}.ast-single-entry-banner {-js-display: flex;display: flex;flex-direction: column;justify-content: center;text-align: center;position: relative;background: var(--ast-title-layout-bg);}.ast-single-entry-banner[data-banner-layout="layout-1"] {max-width: 1200px;background: inherit;padding: 20px 0;}.ast-single-entry-banner[data-banner-width-type="custom"] {margin: 0 auto;width: 100%;}.ast-single-entry-banner + .site-content .entry-header {margin-bottom: 0;}.site .ast-author-avatar {--ast-author-avatar-size: ;}a.ast-underline-text {text-decoration: underline;}.ast-container > .ast-terms-link {position: relative;display: block;}a.ast-button.ast-badge-tax {padding: 4px 8px;border-radius: 3px;font-size: inherit;}header.entry-header{text-align:left;}header.entry-header > *:not(:last-child){margin-bottom:10px;}@media (max-width:768px){header.entry-header{text-align:left;}}@media (max-width:544px){header.entry-header{text-align:left;}}.ast-archive-entry-banner {-js-display: flex;display: flex;flex-direction: column;justify-content: center;text-align: center;position: relative;background: var(--ast-title-layout-bg);}.ast-archive-entry-banner[data-banner-width-type="custom"] {margin: 0 auto;width: 100%;}.ast-archive-entry-banner[data-banner-layout="layout-1"] {background: inherit;padding: 20px 0;text-align: left;}body.archive .ast-archive-description{max-width:1200px;width:100%;text-align:left;padding-top:3em;padding-right:3em;padding-bottom:3em;padding-left:3em;}body.archive .ast-archive-description .ast-archive-title,body.archive .ast-archive-description .ast-archive-title *{font-size:40px;font-size:2.5rem;}body.archive .ast-archive-description > *:not(:last-child){margin-bottom:10px;}@media (max-width:768px){body.archive .ast-archive-description{text-align:left;}}@media (max-width:544px){body.archive .ast-archive-description{text-align:left;}}.ast-breadcrumbs .trail-browse,.ast-breadcrumbs .trail-items,.ast-breadcrumbs .trail-items li{display:inline-block;margin:0;padding:0;border:none;background:inherit;text-indent:0;text-decoration:none;}.ast-breadcrumbs .trail-browse{font-size:inherit;font-style:inherit;font-weight:inherit;color:inherit;}.ast-breadcrumbs .trail-items{list-style:none;}.trail-items li::after{padding:0 0.3em;content:"\00bb";}.trail-items li:last-of-type::after{display:none;}.trail-items li::after{content:">";}.ast-header-breadcrumb{padding-top:10px;padding-bottom:10px;width:100%;}.ast-default-menu-enable.ast-main-header-nav-open.ast-header-break-point .main-header-bar.ast-header-breadcrumb,.ast-main-header-nav-open .main-header-bar.ast-header-breadcrumb{padding-top:1em;padding-bottom:1em;}.ast-header-break-point .main-header-bar.ast-header-breadcrumb{border-bottom-width:1px;border-bottom-color:#eaeaea;border-bottom-style:solid;}.ast-breadcrumbs-wrapper{line-height:1.4;}.ast-breadcrumbs-wrapper .rank-math-breadcrumb p{margin-bottom:0px;}.ast-breadcrumbs-wrapper{display:block;width:100%;}h1,h2,h3,h4,h5,h6,.entry-content :where(h1,h2,h3,h4,h5,h6){color:var(--ast-global-color-2);}.elementor-widget-heading .elementor-heading-title{margin:0;}.elementor-page .ast-menu-toggle{color:unset;background:unset;}.elementor-post.elementor-grid-item.hentry{margin-bottom:0;}.woocommerce div.product .elementor-element.elementor-products-grid .related.products ul.products li.product,.elementor-element .elementor-wc-products .woocommerce[class*='columns-'] ul.products li.product{width:auto;margin:0;float:none;}body .elementor hr{background-color:#ccc;margin:0;}.ast-left-sidebar .elementor-section.elementor-section-stretched,.ast-right-sidebar .elementor-section.elementor-section-stretched{max-width:100%;left:0 !important;}.elementor-posts-container [CLASS*="ast-width-"]{width:100%;}.elementor-template-full-width .ast-container{display:block;}.elementor-screen-only,.screen-reader-text,.screen-reader-text span,.ui-helper-hidden-accessible{top:0 !important;}@media (max-width:544px){.elementor-element .elementor-wc-products .woocommerce[class*="columns-"] ul.products li.product{width:auto;margin:0;}.elementor-element .woocommerce .woocommerce-result-count{float:none;}}.ast-header-break-point .main-header-bar{border-bottom-width:1px;}@media (min-width:769px){.main-header-bar{border-bottom-width:1px;}}.main-header-menu .menu-item, #astra-footer-menu .menu-item, .main-header-bar .ast-masthead-custom-menu-items{-js-display:flex;display:flex;-webkit-box-pack:center;
29-webkit-justify-content:center;-moz-box-pack:center;-ms-flex-pack:center;justify-content:center;-webkit-box-orient:vertical;-webkit-box-direction:normal;-webkit-flex-direction:column;-moz-box-orient:vertical;-moz-box-direction:normal;-ms-flex-direction:column;flex-direction:column;}.main-header-menu > .menu-item > .menu-link, #astra-footer-menu > .menu-item > .menu-link{height:100%;-webkit-box-align:center;-webkit-align-items:center;-moz-box-align:center;-ms-flex-align:center;align-items:center;-js-display:flex;display:flex;}#ast-desktop-header .main-header-menu > .menu-item.menu-item-has-children > .menu-link .ast-header-navigation-arrow{padding-right:10px;margin-right:-10px;}.ast-primary-menu-disabled .main-header-bar .ast-masthead-custom-menu-items{flex:unset;}.main-header-menu .sub-menu .menu-item.menu-item-has-children > .menu-link:after{position:absolute;right:1em;top:50%;transform:translate(0,-50%) rotate(270deg);}.ast-header-break-point .main-header-bar .main-header-bar-navigation .page_item_has_children > .ast-menu-toggle::before, .ast-header-break-point .main-header-bar .main-header-bar-navigation .menu-item-has-children > .ast-menu-toggle::before, .ast-mobile-popup-drawer .main-header-bar-navigation .menu-item-has-children>.ast-menu-toggle::before, .ast-header-break-point .ast-mobile-header-wrap .main-header-bar-navigation .menu-item-has-children > .ast-menu-toggle::before{font-weight:bold;content:"\e900";font-family:Astra;text-decoration:inherit;display:inline-block;}.ast-header-break-point .main-navigation ul.sub-menu .menu-item .menu-link:before{content:"\e900";font-family:Astra;font-size:.65em;text-decoration:inherit;display:inline-block;transform:translate(0, -2px) rotateZ(270deg);margin-right:5px;}.widget_search .search-form:after{font-family:Astra;font-size:1.2em;font-weight:normal;content:"\e8b6";position:absolute;top:50%;right:15px;transform:translate(0, -50%);}.astra-search-icon::before{content:"\e8b6";font-family:Astra;font-style:normal;font-weight:normal;text-decoration:inherit;text-align:center;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;z-index:3;}.main-header-bar .main-header-bar-navigation .page_item_has_children > a:after, .main-header-bar .main-header-bar-navigation .menu-item-has-children > a:after, .menu-item-has-children .ast-header-navigation-arrow:after{content:"\e900";display:inline-block;font-family:Astra;font-size:.6rem;font-weight:bold;text-rendering:auto;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;margin-left:10px;line-height:normal;}.menu-item-has-children .sub-menu .ast-header-navigation-arrow:after{margin-left:0;}.ast-mobile-popup-drawer .main-header-bar-navigation .ast-submenu-expanded>.ast-menu-toggle::before{transform:rotateX(180deg);}.ast-header-break-point .main-header-bar-navigation .menu-item-has-children > .menu-link:after{display:none;}@media (min-width:769px){.ast-builder-menu .main-navigation > ul > li:last-child a{margin-right:0;}}.ast-separate-container .ast-article-inner{background-color:transparent;background-image:none;}.ast-separate-container .ast-article-post{background-color:var(--ast-global-color-5);background-image:none;}@media (max-width:768px){.ast-separate-container .ast-article-post{background-color:var(--ast-global-color-5);background-image:none;}}@media (max-width:544px){.ast-separate-container .ast-article-post{background-color:var(--ast-global-color-5);background-image:none;}}.ast-separate-container .ast-article-single:not(.ast-related-post), .ast-separate-container .error-404, .ast-separate-container .no-results, .single.ast-separate-container  .ast-author-meta, .ast-separate-container .related-posts-title-wrapper, .ast-separate-container .comments-count-wrapper, .ast-box-layout.ast-plain-container .site-content, .ast-padded-layout.ast-plain-container .site-content, .ast-separate-container .ast-archive-description, .ast-separate-container .comments-area .comment-respond, .ast-separate-container .comments-area .ast-comment-list li, .ast-separate-container .comments-area .comments-title{background-color:var(--ast-global-color-5);background-image:none;}@media (max-width:768px){.ast-separate-container .ast-article-single:not(.ast-related-post), .ast-separate-container .error-404, .ast-separate-container .no-results, .single.ast-separate-container  .ast-author-meta, .ast-separate-container .related-posts-title-wrapper, .ast-separate-container .comments-count-wrapper, .ast-box-layout.ast-plain-container .site-content, .ast-padded-layout.ast-plain-container .site-content, .ast-separate-container .ast-archive-description{background-color:var(--ast-global-color-5);background-image:none;}}@media (max-width:544px){.ast-separate-container .ast-article-single:not(.ast-related-post), .ast-separate-container .error-404, .ast-separate-container .no-results, .single.ast-separate-container  .ast-author-meta, .ast-separate-container .related-posts-title-wrapper, .ast-separate-container .comments-count-wrapper, .ast-box-layout.ast-plain-container .site-content, .ast-padded-layout.ast-plain-container .site-content, .ast-separate-container .ast-archive-description{background-color:var(--ast-global-color-5);background-image:none;}}.ast-separate-container.ast-two-container #secondary .widget{background-color:var(--ast-global-color-5);background-image:none;}@media (max-width:768px){.ast-separate-container.ast-two-container #secondary .widget{background-color:var(--ast-global-color-5);background-image:none;}}@media (max-width:544px){.ast-separate-container.ast-two-container #secondary .widget{background-color:var(--ast-global-color-5);background-image:none;}}
30		#ast-scroll-top {
31			display: none;
32			position: fixed;
33			text-align: center;
34			cursor: pointer;
35			z-index: 99;
36			width: 2.1em;
37			height: 2.1em;
38			line-height: 2.1;
39			color: #ffffff;
40			border-radius: 2px;
41			content: "";
42			outline: inherit;
43		}
44		@media (min-width: 769px) {
45			#ast-scroll-top {
46				content: "769";
47			}
48		}
49		#ast-scroll-top .ast-icon.icon-arrow svg {
50			margin-left: 0px;
51			vertical-align: middle;
52			transform: translate(0, -20%) rotate(180deg);
53			width: 1.6em;
54		}
55		.ast-scroll-to-top-right {
56			right: 30px;
57			bottom: 30px;
58		}
59		.ast-scroll-to-top-left {
60			left: 30px;
61			bottom: 30px;
62		}
63	#ast-scroll-top{color:var(--ast-global-color-4);background-color:var(--ast-global-color-0);font-size:15px;}#ast-scroll-top:hover{color:var(--ast-global-color-4);background-color:var(--ast-global-color-0);}.ast-scroll-top-icon::before{content:"\e900";font-family:Astra;text-decoration:inherit;}.ast-scroll-top-icon{transform:rotate(180deg);}@media (max-width:768px){#ast-scroll-top .ast-icon.icon-arrow svg{width:1em;}}:root{--e-global-color-astglobalcolor0:#0170B9;--e-global-color-astglobalcolor1:#3a3a3a;--e-global-color-astglobalcolor2:#3a3a3a;--e-global-color-astglobalcolor3:#4B4F58;--e-global-color-astglobalcolor4:#F5F5F5;--e-global-color-astglobalcolor5:#FFFFFF;--e-global-color-astglobalcolor6:#E5E5E5;--e-global-color-astglobalcolor7:#424242;--e-global-color-astglobalcolor8:#000000;}
64/*# sourceURL=astra-theme-css-inline-css */
65</style>
66<link rel='stylesheet' id='astra-site-origin-css' href='https://latinauc.cl/wp-content/themes/astra/assets/css/minified/compatibility/site-origin.min.css?ver=4.14.0' media='all' />
67<link rel='stylesheet' id='astra-google-fonts-css' href='https://fonts.googleapis.com/css?family=Roboto:400%2C300%2C300i%2Ci%2C500%2C500i%2C700%2C700i&#038;display=swap&#038;ver=4.14.0' media='all' />
68<link rel='stylesheet' id='sbi-tokens-local-css' href='https://latinauc.cl/wp-content/plugins/instagram-feed/assets/tokens/sb-tokens-local.css?ver=6.14.0' media='all' />
69<link rel='stylesheet' id='sbi_styles-css' href='https://latinauc.cl/wp-content/plugins/instagram-feed/css/sbi-styles.min.css?ver=6.14.0' media='all' />
70<link rel='stylesheet' id='sb-elementor-shared-style-css' href='https://latinauc.cl/wp-content/plugins/instagram-feed/vendor/smashballoon/framework/Packages/Blocks/css/sb-elementor.css?ver=1.0.0' media='all' />
71<style id="wp-emoji-styles-inline-css">
72
73	img.wp-smiley, img.emoji {
74		display: inline !important;
75		border: none !important;
76		box-shadow: none !important;
77		height: 1em !important;
78		width: 1em !important;
79		margin: 0 0.07em !important;
80		vertical-align: -0.1em !important;
81		background: none !important;
82		padding: 0 !important;
83	}
84/*# sourceURL=wp-emoji-styles-inline-css */
85</style>
86<style id="safe-svg-svg-icon-style-inline-css">
87.wp-block-safe-svg-svg-icon a{align-self:center}.safe-svg-cover{text-align:center}.safe-svg-cover .safe-svg-inside{display:inline-block;max-width:100%}.safe-svg-cover svg{fill:currentColor;height:100%;max-height:100%;max-width:100%;width:100%}
88
89/*# sourceURL=https://latinauc.cl/wp-content/plugins/safe-svg/dist/safe-svg-block-frontend.css */
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394				<div class="elementor-widget-container">
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396				</div>
397				<div class="elementor-element elementor-element-9eb30f2 wpr-advanced-accordion-icon-side-box elementor-widget elementor-widget-wpr-advanced-accordion" data-id="9eb30f2" data-element_type="widget" data-e-type="widget" data-settings="{&quot;active_item&quot;:1}" data-widget_type="wpr-advanced-accordion.default">
398				<div class="elementor-widget-container">
399					
400            <div class="wpr-advanced-accordion" data-accordion-type="accordion" data-active-index="1" data-accordion-trigger="click" data-interaction-speed="0.4">
401
402			
403                
404					<div class="wpr-accordion-item-wrap">
405						<button class="wpr-acc-button">
406							<span class="wpr-acc-item-title">
407																	<div class="wpr-acc-icon-box">
408														<span class="wpr-title-icon">
409					<i aria-hidden="true" class="fas fa-desktop"></i>				</span>
410												</div>
411								
412								<span class="wpr-acc-title-text">IEE2513 Comunicaciones</span>
413							</span>
414											<span class="wpr-toggle-icon wpr-ti-close"><i aria-hidden="true" class="fas fa-plus"></i></span>
415				<span class="wpr-toggle-icon wpr-ti-open"><i aria-hidden="true" class="fas fa-minus"></i></span>
416									</button>
417
418						<div class="wpr-acc-panel">
419															<div class="wpr-acc-panel-content"><p>Este curso dota al estudiante con el conocimiento teórico y las herramientas matemáticas necesarias para comprender los fundamentos de las tecnologías modernas de comunicaciones. Los estudiantes aprenden a modelar y analizar sistemas de comunicaciones analógicas y digitales a la luz de los compromisos que ello involucra en términos de eficiencia espectral, eficiencia energética y complejidad de implementación.</p><p> </p><p><iframe title="YouTube video player" src="https://www.youtube.com/embed/jJbi5xUUTFQ?si=zj6U_LM9_nMb8hu6" width="560" height="515" frameborder="0" allowfullscreen="allowfullscreen"><span data-mce-type="bookmark" style="display: inline-block; width: 0px; overflow: hidden; line-height: 0;" class="mce_SELRES_start"></span></iframe></p></div>
420													</div>
421                    </div>
422
423                
424					<div class="wpr-accordion-item-wrap">
425						<button class="wpr-acc-button">
426							<span class="wpr-acc-item-title">
427																	<div class="wpr-acc-icon-box">
428														<span class="wpr-title-icon">
429					<i aria-hidden="true" class="fas fa-desktop"></i>				</span>
430												</div>
431								
432								<span class="wpr-acc-title-text">IEE3514 Comunicaciones Digitales</span>
433							</span>
434											<span class="wpr-toggle-icon wpr-ti-close"><i aria-hidden="true" class="fas fa-plus"></i></span>
435				<span class="wpr-toggle-icon wpr-ti-open"><i aria-hidden="true" class="fas fa-minus"></i></span>
436									</button>
437
438						<div class="wpr-acc-panel">
439															<div class="wpr-acc-panel-content"><p>Este curso enseña aspectos avanzados de comunicaciones digitales y entrega los conocimientos necesarios para analizar y diseñar sistemas de comunicaciones digitales modernos. Se estudian los fundamentos teóricos del procesamiento óptimo de señales recibidas bajo ruido para minimizar la probabilidad de error, así como diseño óptimo de señales y transmisión digital espectralmente eficiente en canales con ancho de banda limitado. También se estudian técnicas avanzadas para transmisión en medios dispersivos, como ecualización y modulación OFDM.</p><p> </p><p><iframe title="YouTube video player" src="https://www.youtube.com/embed/FBOQ98OpAWI?si=FDoC3LBe5KuToTzZ" width="560" height="515" frameborder="0" allowfullscreen="allowfullscreen"><span data-mce-type="bookmark" style="display: inline-block; width: 0px; overflow: hidden; line-height: 0;" class="mce_SELRES_start"></span></iframe></p></div>
440													</div>
441                    </div>
442
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446							<span class="wpr-acc-item-title">
447																	<div class="wpr-acc-icon-box">
448														<span class="wpr-title-icon">
449					<i aria-hidden="true" class="fas fa-desktop"></i>				</span>
450												</div>
451								
452								<span class="wpr-acc-title-text">IEE3584 Comunicaciones Inalámbricas</span>
453							</span>
454											<span class="wpr-toggle-icon wpr-ti-close"><i aria-hidden="true" class="fas fa-plus"></i></span>
455				<span class="wpr-toggle-icon wpr-ti-open"><i aria-hidden="true" class="fas fa-minus"></i></span>
456									</button>
457
458						<div class="wpr-acc-panel">
459															<div class="wpr-acc-panel-content"><p>Este curso dota al alumno con los conocimientos teóricos y las herramientas matemáticas necesarias para comprender y modelar los fenómenos de propagación del canal inalámbrico 
459y le enseña a aplicar estos conocimientos al análisis, diseño y simulación de sistemas modernos de comunicaciones digitales inalámbricas. Los alumnos aprenden los compromisos que ello involucra en términos de eficiencia espectral, eficiencia energética y complejidad de implementación.</p><p> </p><p><iframe title="YouTube video player" src="https://www.youtube.com/embed/2s_XvmXaPno?si=qfztGtjO2ZWH0gAZ" width="560" height="515" frameborder="0" allowfullscreen="allowfullscreen"><span data-mce-type="bookmark" style="display: inline-block; width: 0px; overflow: hidden; line-height: 0;" class="mce_SELRES_start"></span></iframe></p></div>
460													</div>
461                    </div>
462
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517                            <img src="https://kit-digital-uc-prod.s3.amazonaws.com/assets/social-icon-linkedin.svg" alt="linkedin">
518                        </a>
519                        <a href="https://www.youtube.com/ProfChristianOberli" target="_blank">
520                            <img src="https://kit-digital-uc-prod.s3.amazonaws.com/assets/social-icon-youtube.svg" alt="youtube">
521                        </a>
522                    </li>
523                </ul>
524            </div>
525        </div>
526    </div>
527</footer></div></aside></div>					</div>
528				
529				
530			</div><!-- .ast-row .ast-small-footer-wrap -->
531		</div><!-- .ast-container -->
532	</div><!-- .ast-footer-overlay -->
533</div><!-- .ast-small-footer-->
534
535			
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