--- title: "How Gaussian Distribution Maximizes Entropy — The Proof" url: https://daily.dev/posts/how-gaussian-distribution-maximizes-entropy-the-proof-zl2ng48ml source_url: https://medium.com/mathematical-musings/how-gaussian-distribution-maximizes-entropy-the-proof-7f7dcb2caf4d type: article source: "Medium" published: 2024-05-07T23:16:16.806Z updated: 2024-05-09T08:43:33.910Z tags: ["statistics"] reading_time: 3 upvotes: 1 comments: 0 language: en --- > ## Documentation Index > Fetch the complete documentation index at: https://daily.dev/llms.txt > Use this file to discover all available pages before exploring further. # How Gaussian Distribution Maximizes Entropy — The Proof **[Medium](https://daily.dev/sources/medium_js)** · 3 min read · 1 upvotes · 0 comments ## Summary The normal distribution, also known as the Gaussian distribution, maximizes entropy given specific constraints on mean and variance. This mathematical proof explores why the normal distribution is prevalent and powerful, and its connection to entropy and statistical inference. ## Full article daily.dev links to this article rather than hosting it. Read it at the original source: ## Similar posts on daily.dev - [Don’t just attend KubeCon \+ CloudNativeCon, Merge Forward your experience\!](https://daily.dev/posts/don-t-just-attend-kubecon-cloudnativecon-merge-forward-your-experience--l0rpp73x8) · CNCF · 0 upvotes · 0 comments - [Announcing H2 2026 KCDs](https://daily.dev/posts/announcing-h2-2026-kcds-m96goajm1) · CNCF · 1 upvotes · 0 comments - [Two months of Open Community Groups](https://daily.dev/posts/two-months-of-open-community-groups-asf52zhbs) · CNCF · 0 upvotes · 0 comments - [CNCF Unveils Schedule for KubeCon \+ CloudNativeCon Europe 2026](https://daily.dev/posts/cncf-unveils-schedule-for-kubecon-cloudnativecon-europe-2026-ikhcoa5cb) · CNCF · 2 upvotes · 0 comments - [CNCF Debuts KubeCon \+ CloudNativeCon Japan 2026 Schedule](https://daily.dev/posts/cncf-debuts-kubecon-cloudnativecon-japan-2026-schedule-xp5pyudub) · CNCF · 1 upvotes · 0 comments --- Tags: [#statistics](https://daily.dev/tags/statistics) [View this post on daily.dev](https://daily.dev/posts/how-gaussian-distribution-maximizes-entropy-the-proof-zl2ng48ml)