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This equation will change how you see the world (the logistic map)

Veritasium
4 人推荐 · 跨 4 个月 · 2020–2023
趣味与可视化数学纯粹数学
This equation will change how you see the world (the logistic map)

中文导读

Veritasium 制作的高分科普片,聚焦逻辑斯蒂映射(logistic map)。视频深入浅出地演示了一个极其简单的种群方程如何演化出混沌与分岔现象,并借助交互动画将其与热对流、神经元放电乃至曼德博集合建立起奇妙联结。

为什么 HN 推它

HN 网友最爱的 Veritasium 视频之一,极力推崇它如何用极简方程剥离出惊人复杂而优美的数学规律。

「如果选一个我认为 HN 网友最应该看的高分科普视频,绝对是这一期。」HN 网友原话:But this is the one I think people on HN need to watch most
英文原摘要(HackerTube / Claude 整理)

A Veritasium video on the logistic map, showing how a simple population equation leads to chaos and bifurcation. It connects the idea to convection, neuron firing and the Mandelbrot set, with interactive animations.

HN commenters call it a favourite Veritasium video, praised for how a simple equation reveals surprisingly complex patterns.

HN 上的提及

reference pdfernhout · 2020-09 · HN 原文
Parts of the video on resonance reminds me of this one
rec Kim_Bruning · 2021-03 · HN 原文
This Veritasium video is about one small (but awesome) bit of that
strong_rec cgrealy · 2021-08 · HN 原文
In terms of sheer brain-breaking... this is my favourite
strong_rec Kaibeezy · 2021-12 · HN 原文
hold on to your hat.
strong_rec Kaibeezy · 2021-12 · HN 原文
I’ll cut him endless slack after that mindsplosion.

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