HN 精选

Triangle of Power

3Blue1Brown
5 人推荐 · 跨 4 个月 · 2016–2023
趣味与可视化数学纯粹数学
Triangle of Power

中文导读

3Blue1Brown 在本期视频中介绍了“乘方之三角”(Triangle of Power)这一创新数学记号,将幂、对数与开方统一在单个三角形符号中,清晰揭示了互逆运算的内在关联及其教学价值。

为什么 HN 推它

在关于数学符号体系的讨论中常被 HN 引用,它生动直观地展示了指数、对数与根号本质上只是同一种关系的三个不同观察视角。

「我最喜爱的新数学记号莫过于 Triangle of Power。」HN 网友原话:My favorite new math notation is the triangle of power
英文原摘要(HackerTube / Claude 整理)

3Blue1Brown presents the Triangle of Power, an alternate notation that unifies powers, logarithms and roots in a single triangular symbol. The video shows how the inverse operations relate and how the notation could help.

HN points to it in notation debates as a clean visual demonstration that exponents, logs and roots are three views of one relationship.

HN 上的提及

reference tr · 2016-10 · HN 原文
He is now trying to focus full time on online math education.
reference partycoder · 2017-03 · HN 原文
Then, notation in some cases is inconsistent and weird.
strong_rec Houshalter · 2017-06 · HN 原文
My favorite new math notation is the triangle of power
reference partycoder · 2017-11 · HN 原文
3Blue1Brown made a video about math notation for power/logarithms/roots
rec norepicycle · 2018-05 · HN 原文
uses a clever bit of notation to unify exponents and logarithms

相关视频