Damien Gonot

Homepage / Notes / Mathematics

https://twitter.com/ZMatuszewski/status/1446179776495034376

\(\sum_{n=0}^{4} = 3n\)

```
sum = 0
for (n=0, n<=4, n++) {
sum += 3*n
}
```

\(\prod_{n=1}^{4} = 2n\)

```
prod = 1
for (n=1, n<=4, n++) {
prod *= 2*n
}
```

"If and only if"

Calculus For The People â€“ Season 1 https://www.geogebra.org/m/x39ys4d7

https://grinfeld.org/books/An-Introduction-To-Tensor-Calculus/

- \(x^n x^m = x^{n+m}\)
- \(\dfrac{x^n}{x^m} = x^{n-m}\)
- \({x^n}^m = x^{nm}\)
- \((xy)^n = x^n y^n\)
- \(x^{-n} = \dfrac{1}{x^n}\)

https://pabloinsente.github.io/intro-linear-algebra

https://saylordotorg.github.io/text_intermediate-algebra/index.html

A set with exactly one element.

https://www.simonwardjones.co.uk/posts/linear_regression/

https://en.wikipedia.org/wiki/Autoregressive_integrated_moving_average

by Sarah Boslaugh

by Derek Rowntree

by Daniel Lakens

https://openintro-ims2.netlify.app/

A Bayesian Course with Examples in R and Stan https://xcelab.net/rm/statistical-rethinking/

Statistical Rethinking with brms, ggplot2, and the tidyverse https://bookdown.org/ajkurz/Statistical_Rethinking_recoded/

A function that maps an event or values to a real number representing some "cost". Typically, the difference between estimated values and true values. To optimize is to seek to minimize a loss function.

https://en.wikipedia.org/wiki/Unary_operation

https://en.wikipedia.org/wiki/Kelly_criterion

https://seeing-theory.brown.edu/basic-probability/index.html

https://thinkzone.wlonk.com/Numbers/NumberSets.htm

https://en.wikipedia.org/wiki/Combinatory_logic

by Raymond Smullyan

https://tromp.github.io/cl/cl.html

https://combinatorylogic.com/table.html

https://en.wikipedia.org/wiki/Equational_logic

A sequence in which each number is the sum of the two preceding ones

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, â€¦

Mapping between categories.

- https://www.logicmatters.net/categories/
- https://news.ycombinator.com/item?id=29734482
- https://github.com/bgavran/Category_Theory_Machine_Learning

An element of a `vector space`

. Multiple scalars form a `vector`

.

An element of a `vector space`

A set of vectors

A point at which the mathematical object is not defined.

https://ourway.keybase.pub/mathematics_cheat_sheet.pdf

https://mathlets.org/mathlets/

https://github.com/Jam3/math-as-code

https://math.mit.edu/academics/undergrad/major/course18/applied.php

https://www.susanrigetti.com/math

by R.D. Driver

"A fun, accessible book that will get you excited about mathematics."

"A lot of fun to read, but make sure you get the paperback or hardcover version for readability purposes."

"A beautifully-written book about Fermatâ€™s Last Theorem."

"A compulsively-readable biography of Paul ErdĹ‘s."

"A wonderful biography of Srinivasa Ramanujan."

"A classic. I highly recommend the annotated version, which adds extra joy to the reading experience."

"One of the most beautiful things ever written about mathematics, by one of the greatest mathematicians of all time."

"One of my all-time favorites."

"This book is an absolute joy to read in small bits and pieces. The more math you learn, the more you will fall in love with it."

https://xn--2-umb.com/22/approximation/index.html

http://xahlee.info/math/math_books.html

https://tutorial.math.lamar.edu/

https://hefferon.net/linearalgebra/index.html