{"id":10560,"date":"2023-06-24T11:28:32","date_gmt":"2023-06-24T09:28:32","guid":{"rendered":"https:\/\/monodes.com\/predaelli\/?p=10560"},"modified":"2023-06-24T11:28:34","modified_gmt":"2023-06-24T09:28:34","slug":"babylonian-square-root","status":"publish","type":"post","link":"https:\/\/monodes.com\/predaelli\/2023\/06\/24\/babylonian-square-root\/","title":{"rendered":"Babylonian square root"},"content":{"rendered":"
\"\"<\/figure>\n\n\n
\n

Compute \u221aa like a #Babylonian<\/a>….

1) Make a guess x\u2080 > 0 for \u221aa

2) The average x\u2081 = \u00bd (x\u2080 +a\/x\u2080) is closer to \u221aa than either x\u2080 or a\/x\u2080

3) Iterating step 2 gives you a sequence x\u2081, x\u2082, x\u2083, … that converges to \u221aa .<\/p>\nFrom FB<\/a><\/cite><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Compute \u221aa like a #Babylonian…. 1) Make a guess x\u2080 > 0 for \u221aa 2) The average x\u2081 = \u00bd (x\u2080 +a\/x\u2080) is closer to \u221aa than either x\u2080 or a\/x\u2080 3) Iterating step 2 gives you a sequence x\u2081, x\u2082, x\u2083, … that converges to \u221aa . From FB<\/p>\n

Read more →<\/a><\/p>\n","protected":false},"author":1,"featured_media":10561,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":4,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-10560","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-senza-categoria"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/monodes.com\/predaelli\/wp-content\/uploads\/sites\/4\/2023\/06\/babylonian-square-root.webp?fit=2048%2C1152&ssl=1","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p6daft-2Kk","jetpack-related-posts":[{"id":2468,"url":"https:\/\/monodes.com\/predaelli\/2017\/05\/17\/katex-the-fastest-math-typesetting-library-for-the-web\/","url_meta":{"origin":10560,"position":0},"title":"KaTeX \u2013 The fastest math typesetting library for the web","author":"Paolo Redaelli","date":"2017-05-17","format":false,"excerpt":"\u00a0KaTeX \u2013 The fastest math typesetting library for the web Type an expression: f(x) = \\int_{-\\infty}^\\infty
\\hat f(\\xi)\\,e^{2 \\pi i \\xi x}
\\,d\\xi See how it renders with KaTeX\\KaTeXKATEX: f(x)=\u222b\u2212\u221e\u221ef^(\u03be)e2\u03c0i\u03bexd\u03bef(x) = \\int_{-\\infty}^\\infty \\hat f(\\xi)\\,e^{2 \\pi i \\xi x} \\,d\\xif(x)=\u222b\u200b\u2212\u221e\u200b\u221e\u200b\u200b\u200bf\u200b^\u200b\u200b(\u03be)e\u200b2\u03c0i\u03bex\u200b\u200bd\u03be Simple API, no dependencies \u2013 yet super-fast on all\u2026","rel":"","context":"In "Javascript"","block_context":{"text":"Javascript","link":"https:\/\/monodes.com\/predaelli\/category\/javascript\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":11707,"url":"https:\/\/monodes.com\/predaelli\/2024\/06\/03\/schenker-shows-off-a-linux-laptop-prototype-with-snapdragon-x-elite-at-computex-2024\/","url_meta":{"origin":10560,"position":1},"title":"Schenker shows off a Linux laptop prototype with Snapdragon X Elite at Computex 2024","author":"Paolo Redaelli","date":"2024-06-03","format":false,"excerpt":"Most of the first computers powered by Qualcomm\u2019s new Snapdragon X Plus and Snapdragon X Elite chips are expected to be Windows PCs. 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