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“Math-to-English Cheat Sheet” by nahoj


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Say you've learnt math in your native language which is not English. Since then you've also read math in English and you appreciate the near universality of mathematical notation. Then one day you want to discuss a formula in real life and you realize you don't know how to pronunce "_a_n_".

Status: I had little prior knowledge of the topic. This was mostly generated by ChatGTP4 and kindly reviewed by @TheManxLoiner.

General

Distinguishing case

  • _F, delta_
  • "Big F" or "capital F", "little delta"

Subscripts

  • _a_n_
  • "a sub n" or, in most cases, just "a n"

Calculus

Pythagorean Theorem

  • _a^2 + b^2 = c^2_
  • "a squared plus b squared equals c squared."

Area of a Circle

  • _A = pi r^2_
  • "Area equals pi r squared."

Slope of a Line

  • _m = frac{y_2 - y_1}{x_2 - x_1}_
  • "m equals y 2 minus y 1 over x [...]

---

Outline:

(00:32) General

(00:50) Calculus

(02:48) More advanced operations

(04:43) Linear Algebra (vectors and matrices)

(06:25) With numerical values

(08:13) Probabilities and Statistics

(10:24) Logic

(10:27) Propositional Logic

(11:20) Predicate Logic

(11:46) Modal Logic

(12:08) Set Theory

---

First published:

April 8th, 2024

Source:

https://www.lesswrong.com/posts/yEsuwCugokgpAQyYD/math-to-english-cheat-sheet

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Narrated by TYPE III AUDIO.

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