<style>/*<link href='https://draft.blogger.com/dyn-css/authorization.css?targetBlogID=5026483392104395317&zx=fc676793-d4ca-45da-9760-5864b8b3ef41' media='none' onload='if(media!='all')media='all'' rel='stylesheet'/><noscript><link href='https://draft.blogger.com/dyn-css/authorization.css?targetBlogID=5026483392104395317&zx=fc676793-d4ca-45da-9760-5864b8b3ef41' rel='stylesheet'/></noscript>
<meta name='google-adsense-platform-account' content='ca-host-pub-1556223355139109'/>
<meta name='google-adsense-platform-domain' content='blogspot.com'/>

</head><body>*/</style>

dempo 231

Open Math Study

2 Aug, 2025

Use efficient cache lifetimes Est savings of 1 KiB

LCP breakdown

3rd parties

3rd party code can significantly impact load performance. Reduce and defer loading of 3rd party code to prioritize your page's content.

3rd party	Transfer size	Main thread time
JSDelivr CDN Cdn	21 KiB	0 ms
…css/bootstrap.min.css (cdn.jsdelivr.net)	21 KiB	0 ms
googleusercontent.com	3 KiB	0 ms
…s1600/20250801_200121.png (blogger.googleusercontent.com)	3 KiB	0 ms

These insights are also available in the Chrome DevTools Performance Panel - record a trace to view more detailed information.

Add Comment

<style>/*
<script type="text/javascript" src="https://www.blogger.com/static/v1/widgets/2112189061-widgets.js"></script>
<script type='text/javascript'>
window['__wavt'] = 'AOuZoY5-hGcgL4lmPGDN5pArIOI0F3Rq5w:1757214231953';_WidgetManager._Init('//draft.blogger.com/rearrange?blogID\x3d5026483392104395317','//openlatex.blogspot.com/2025/08/dempo-231.html','5026483392104395317');
_WidgetManager._SetDataContext([{'name': 'blog', 'data': {'blogId': '5026483392104395317', 'title': 'openLaTex', 'url': 'https://openlatex.blogspot.com/2025/08/dempo-231.html', 'canonicalUrl': 'https://openlatex.blogspot.com/2025/08/dempo-231.html', 'homepageUrl': 'https://openlatex.blogspot.com/', 'searchUrl': 'https://openlatex.blogspot.com/search', 'canonicalHomepageUrl': 'https://openlatex.blogspot.com/', 'blogspotFaviconUrl': 'https://openlatex.blogspot.com/favicon.ico', 'bloggerUrl': 'https://draft.blogger.com', 'hasCustomDomain': false, 'httpsEnabled': true, 'enabledCommentProfileImages': true, 'gPlusViewType': 'FILTERED_POSTMOD', 'adultContent': false, 'analyticsAccountNumber': '', 'encoding': 'UTF-8', 'locale': 'en-GB', 'localeUnderscoreDelimited': 'en_gb', 'languageDirection': 'ltr', 'isPrivate': false, 'isMobile': false, 'isMobileRequest': false, 'mobileClass': '', 'isPrivateBlog': false, 'isDynamicViewsAvailable': true, 'feedLinks': '\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22openLaTex - Atom\x22 href\x3d\x22https://openlatex.blogspot.com/feeds/posts/default\x22 /\x3e\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/rss+xml\x22 title\x3d\x22openLaTex - RSS\x22 href\x3d\x22https://openlatex.blogspot.com/feeds/posts/default?alt\x3drss\x22 /\x3e\n\x3clink rel\x3d\x22service.post\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22openLaTex - Atom\x22 href\x3d\x22https://draft.blogger.com/feeds/5026483392104395317/posts/default\x22 /\x3e\n\n\x3clink rel\x3d\x22alternate\x22 type\x3d\x22application/atom+xml\x22 title\x3d\x22openLaTex - Atom\x22 href\x3d\x22https://openlatex.blogspot.com/feeds/1377454626764972087/comments/default\x22 /\x3e\n', 'meTag': '', 'adsenseHostId': 'ca-host-pub-1556223355139109', 'adsenseHasAds': false, 'adsenseAutoAds': false, 'boqCommentIframeForm': true, 'loginRedirectParam': '', 'view': '', 'dynamicViewsCommentsSrc': '//www.blogblog.com/dynamicviews/4224c15c4e7c9321/js/comments.js', 'dynamicViewsScriptSrc': '//www.blogblog.com/dynamicviews/11884335b28358f5', 'plusOneApiSrc': 'https://apis.google.com/js/platform.js', 'disableGComments': true, 'interstitialAccepted': false, 'sharing': {'platforms': [{'name': 'Get link', 'key': 'link', 'shareMessage': 'Get link', 'target': ''}, {'name': 'Facebook', 'key': 'facebook', 'shareMessage': 'Share to Facebook', 'target': 'facebook'}, {'name': 'BlogThis!', 'key': 'blogThis', 'shareMessage': 'BlogThis!', 'target': 'blog'}, {'name': 'X', 'key': 'twitter', 'shareMessage': 'Share to X', 'target': 'twitter'}, {'name': 'Pinterest', 'key': 'pinterest', 'shareMessage': 'Share to Pinterest', 'target': 'pinterest'}, {'name': 'Email', 'key': 'email', 'shareMessage': 'Email', 'target': 'email'}], 'disableGooglePlus': true, 'googlePlusShareButtonWidth': 0, 'googlePlusBootstrap': '\x3cscript type\x3d\x22text/javascript\x22\x3ewindow.___gcfg \x3d {\x27lang\x27: \x27en_GB\x27};\x3c/script\x3e'}, 'hasCustomJumpLinkMessage': false, 'jumpLinkMessage': 'Read more', 'pageType': 'item', 'postId': '1377454626764972087', 'postImageThumbnailUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZEZiWK95OMlY05bzir3QrqXoABzOr_pACk9f72CrycgyQp3eq2FlSYT-weXMdliNIBeI1JGKFXEFFXMJJoPcbPQuoqyV2pwR1qeSLIQAUnDKWlpEeGJlKhdTRLxKLq8z5KYUUZmmztfL-oU8TqdYnRPTjKUoGvvDPllbpcB0LOvQmbwv7XjfO9W9AqMBM/s72-c/BeautyPlusMe_20190706140123_fast.jpg', 'postImageUrl': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZEZiWK95OMlY05bzir3QrqXoABzOr_pACk9f72CrycgyQp3eq2FlSYT-weXMdliNIBeI1JGKFXEFFXMJJoPcbPQuoqyV2pwR1qeSLIQAUnDKWlpEeGJlKhdTRLxKLq8z5KYUUZmmztfL-oU8TqdYnRPTjKUoGvvDPllbpcB0LOvQmbwv7XjfO9W9AqMBM/s16000/BeautyPlusMe_20190706140123_fast.jpg', 'pageName': 'dempo 231', 'pageTitle': 'openLaTex: dempo 231'}}, {'name': 'features', 'data': {}}, {'name': 'messages', 'data': {'edit': 'Edit', 'linkCopiedToClipboard': 'Link copied to clipboard', 'ok': 'Ok', 'postLink': 'Post link'}}, {'name': 'template', 'data': {'name': 'custom', 'localizedName': 'Custom', 'isResponsive': true, 'isAlternateRendering': false, 'isCustom': true}}, {'name': 'view', 'data': {'classic': {'name': 'classic', 'url': '?view\x3dclassic'}, 'flipcard': {'name': 'flipcard', 'url': '?view\x3dflipcard'}, 'magazine': {'name': 'magazine', 'url': '?view\x3dmagazine'}, 'mosaic': {'name': 'mosaic', 'url': '?view\x3dmosaic'}, 'sidebar': {'name': 'sidebar', 'url': '?view\x3dsidebar'}, 'snapshot': {'name': 'snapshot', 'url': '?view\x3dsnapshot'}, 'timeslide': {'name': 'timeslide', 'url': '?view\x3dtimeslide'}, 'isMobile': false, 'title': 'dempo 231', 'description': 'Use efficient cache lifetimes \xa0 Est savings of 1\xa0KiB LCP breakdown 3rd parties 3rd party code can significantly impact load performance.\xa0 Re...', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZEZiWK95OMlY05bzir3QrqXoABzOr_pACk9f72CrycgyQp3eq2FlSYT-weXMdliNIBeI1JGKFXEFFXMJJoPcbPQuoqyV2pwR1qeSLIQAUnDKWlpEeGJlKhdTRLxKLq8z5KYUUZmmztfL-oU8TqdYnRPTjKUoGvvDPllbpcB0LOvQmbwv7XjfO9W9AqMBM/s16000/BeautyPlusMe_20190706140123_fast.jpg', 'url': 'https://openlatex.blogspot.com/2025/08/dempo-231.html', 'type': 'item', 'isSingleItem': true, 'isMultipleItems': false, 'isError': false, 'isPage': false, 'isPost': true, 'isHomepage': false, 'isArchive': false, 'isLabelSearch': false, 'postId': 1377454626764972087}}, {'name': 'widgets', 'data': [{'title': 'Logo', 'type': 'HTML', 'sectionId': 'header-main', 'id': 'HTML10'}, {'title': 'Icons, Dark, Search', 'type': 'LinkList', 'sectionId': 'header-main', 'id': 'LinkList10'}, {'title': 'Menu', 'type': 'LinkList', 'sectionId': 'header-main', 'id': 'LinkList11'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'before-blog', 'id': 'HTML11'}, {'title': 'Featured Post', 'type': 'FeaturedPost', 'sectionId': 'before-blog', 'id': 'FeaturedPost1', 'postId': '8089229993890842319'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'before-post', 'id': 'HTML12'}, {'title': 'Blog Posts', 'type': 'Blog', 'sectionId': 'blog-post', 'id': 'Blog1', 'posts': [{'id': '1377454626764972087', 'title': 'dempo 231', 'featuredImage': 'https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZEZiWK95OMlY05bzir3QrqXoABzOr_pACk9f72CrycgyQp3eq2FlSYT-weXMdliNIBeI1JGKFXEFFXMJJoPcbPQuoqyV2pwR1qeSLIQAUnDKWlpEeGJlKhdTRLxKLq8z5KYUUZmmztfL-oU8TqdYnRPTjKUoGvvDPllbpcB0LOvQmbwv7XjfO9W9AqMBM/s16000/BeautyPlusMe_20190706140123_fast.jpg', 'showInlineAds': false}], 'headerByline': {'regionName': 'header1', 'items': [{'name': 'share', 'label': ''}, {'name': 'author', 'label': 'By'}, {'name': 'timestamp', 'label': 'd MMM, yyyy'}]}, 'footerBylines': [{'regionName': 'footer1', 'items': [{'name': 'comments', 'label': 'Comment'}, {'name': 'icons', 'label': ''}]}, {'regionName': 'footer2', 'items': [{'name': 'labels', 'label': ''}]}], 'allBylineItems': [{'name': 'share', 'label': ''}, {'name': 'author', 'label': 'By'}, {'name': 'timestamp', 'label': 'd MMM, yyyy'}, {'name': 'comments', 'label': 'Comment'}, {'name': 'icons', 'label': ''}, {'name': 'labels', 'label': ''}]}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML13'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML14'}, {'title': '#You may also like', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML15'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML16'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'ads-post', 'id': 'HTML17'}, {'title': 'Popular Posts', 'type': 'PopularPosts', 'sectionId': 'sidebar-static', 'id': 'PopularPosts10', 'posts': [{'title': 'Best for demo ', 'id': 282678356984993686}, {'title': 'Gpt 4', 'id': 8738611148515768404}, {'title': 'By gpt l4', 'id': 6045807503570258051}, {'title': 'Demo for img', 'id': 4009287787131724579}, {'title': 'Deep2', 'id': 17100778910174870}]}, {'title': 'Categories', 'type': 'Label', 'sectionId': 'sidebar-static', 'id': 'Label10'}, {'title': 'Hashtag', 'type': 'Label', 'sectionId': 'sidebar-static', 'id': 'Label11'}, {'title': 'Blog Archive', 'type': 'BlogArchive', 'sectionId': 'sidebar-static', 'id': 'BlogArchive10'}, {'title': '#Recent Post', 'type': 'HTML', 'sectionId': 'sidebar-static', 'id': 'HTML19'}, {'title': '#Advertisement', 'type': 'HTML', 'sectionId': 'sidebar-sticky', 'id': 'HTML20'}, {'title': 'About Us', 'type': 'HTML', 'sectionId': 'footer-widget', 'id': 'HTML21'}, {'title': 'Learn More', 'type': 'LinkList', 'sectionId': 'footer-widget', 'id': 'LinkList13'}, {'title': 'Follow Us', 'type': 'LinkList', 'sectionId': 'footer-widget', 'id': 'LinkList14'}, {'title': 'Newsletter', 'type': 'HTML', 'sectionId': 'footer-widget', 'id': 'HTML22'}, {'title': 'Copyright', 'type': 'HTML', 'sectionId': 'copyright', 'id': 'HTML23'}, {'title': 'SVG Icons', 'type': 'HTML', 'sectionId': 'jet-options', 'id': 'HTML24'}]}]);
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML10', 'header-main', document.getElementById('HTML10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList10', 'header-main', document.getElementById('LinkList10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList11', 'header-main', document.getElementById('LinkList11'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML11', 'before-blog', document.getElementById('HTML11'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_FeaturedPostView', new _WidgetInfo('FeaturedPost1', 'before-blog', document.getElementById('FeaturedPost1'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML12', 'before-post', document.getElementById('HTML12'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_BlogView', new _WidgetInfo('Blog1', 'blog-post', document.getElementById('Blog1'), {'cmtInteractionsEnabled': false, 'lightboxEnabled': true, 'lightboxModuleUrl': 'https://www.blogger.com/static/v1/jsbin/3458177667-lbx__en_gb.js', 'lightboxCssUrl': 'https://www.blogger.com/static/v1/v-css/828616780-lightbox_bundle.css'}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML13', 'ads-post', document.getElementById('HTML13'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML14', 'ads-post', document.getElementById('HTML14'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML15', 'ads-post', document.getElementById('HTML15'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML16', 'ads-post', document.getElementById('HTML16'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML17', 'ads-post', document.getElementById('HTML17'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_PopularPostsView', new _WidgetInfo('PopularPosts10', 'sidebar-static', document.getElementById('PopularPosts10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label10', 'sidebar-static', document.getElementById('Label10'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LabelView', new _WidgetInfo('Label11', 'sidebar-static', document.getElementById('Label11'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_BlogArchiveView', new _WidgetInfo('BlogArchive10', 'sidebar-static', document.getElementById('BlogArchive10'), {'languageDirection': 'ltr', 'loadingMessage': 'Loading\x26hellip;'}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML19', 'sidebar-static', document.getElementById('HTML19'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML20', 'sidebar-sticky', document.getElementById('HTML20'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML21', 'footer-widget', document.getElementById('HTML21'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList13', 'footer-widget', document.getElementById('LinkList13'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_LinkListView', new _WidgetInfo('LinkList14', 'footer-widget', document.getElementById('LinkList14'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML22', 'footer-widget', document.getElementById('HTML22'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML23', 'copyright', document.getElementById('HTML23'), {}, 'displayModeFull'));
_WidgetManager._RegisterWidget('_HTMLView', new _WidgetInfo('HTML24', 'jet-options', document.getElementById('HTML24'), {}, 'displayModeFull'));
</script>
</body>*/</style>