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Mathematics Cheat Sheet [pdf]

ourway.keybase.pub

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Re: Mathematics Cheat Sheet [pdf]

#11
post #9

This site might have an alternative copy that's been updated more recently: http://mathscheats.weebly.com/2019-downloads.html I still wish there was LaTeX for it.

> I still wish there was LaTeX for it. As email probably unavailable, there are Alex's Facebook/Instagram.[0] [0] https://news.ycombinator.com/item?id=27468908#27469861

[deleted]

Re: Mathematics Cheat Sheet [pdf]

#12
post #2

I noticed that the physical constants might be outdated. As I understand it, the Planck constant is now considered to be a defined quantity. https://en.wikipedia.org/wiki/Planck_constant#Understanding_...

Indeed. Avogadro's number too now has an exact value and all that stuff that depends on it has changed with it.

Re: Mathematics Cheat Sheet [pdf]

#13
post #4

My first thought what an outstanding pdf, my second though; this should be in latex on github/gitlab, so people can contribute and maintain, I would love to add numerical psedo code to as much equations as I possibly can with my primitive comprehension of mathematics.

Might be some copyright issues. I see non-attributed images in the Moments of Inertia section that are licensed CC BY-SA on Wikipedia. Also apparently some text book scans.

Re: Mathematics Cheat Sheet [pdf]

#15
post #4

My first thought what an outstanding pdf, my second though; this should be in latex on github/gitlab, so people can contribute and maintain, I would love to add numerical psedo code to as much equations as I possibly can with my primitive comprehension of mathematics.

Let's do this; I just created https://github.com/Accacio/math-cheatsheet, When I get time I will implement CI/CD to genereate the pdfs

Re: Mathematics Cheat Sheet [pdf]

#16
What is this useful for, page 45?

Rational Numbers: Every rational number can be written as r = [(r - 1) + (r + 1)] / 2

I would have expected p / q with p and q integers or some variation of this.

Re: Mathematics Cheat Sheet [pdf]

#17
Sorry if I sound exclusively negative about someone else's hard work – that is not the intention.

I find people's obsession over memorizing mathematical symbols (part 2) really strange. If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. And if you don't understand what the concepts involved mean, then having memorized the symbol does you no good.

Am I missing something?

Edit, since I'm apparently in a very critical mood today: It seems very strange for a document to barely scratch the absolute essentials for something as important and broadly applicable as linear algebra, yet go on and on and on with quite esoteric lists of special primes that surely concern at most researchers in specialized parts of number theory? Of all the lists of primes that the author chooses to focus on, I must say I had only heard of three (Fibonacci, Mersenne and Gaussian). Granted, my PhD is in a very different part of math, but this seems a bit… crazy… in such a document. (Also, are the lists "even primes: 2", and "odd primes [insert list of all other primes here]" meant as jokes?)

Edit 2: Same goes with the obsession with pi. The amount of effort and space spent on features of primes and pi that are incredibly unimportant except to very specialized researchers is… a bit insane in a document like this.

Re: Mathematics Cheat Sheet [pdf]

#18
post #16

What is this useful for, page 45? Rational Numbers: Every rational number can be written as r = [(r - 1) + (r + 1)] / 2 I would have expected p / q with p and q integers or some variation of this.

That is indeed strange. And why restrict it to rationals, when it's true for every real (or every complex, whatever)? It's even true for integers, under a suitable interpretation of what is meant by dividing by 2 in that case.

Re: Mathematics Cheat Sheet [pdf]

#19
post #16

What is this useful for, page 45? Rational Numbers: Every rational number can be written as r = [(r - 1) + (r + 1)] / 2 I would have expected p / q with p and q integers or some variation of this.

It's also totally trivial when you rewrite it slightly: (r + r + 1 - 1) / 2. So basically adding r to itself to get 2r then dividing by 2 gives you back r, with a pointless plus and minus 1 thrown in.

Re: Mathematics Cheat Sheet [pdf]

#20
post #17

Sorry if I sound exclusively negative about someone else's hard work – that is not the intention. I find people's obsession over memorizing mathematical symbols (part 2) really strange. If you understand what the concepts involved in a symbol mean, you won't have a problem recognizing the commonly used symbols. And if you don't understand what the concepts involved mean, then having memorized the symbol does you no g…

I don't think this is supposed to be a serious attempt to write a math reference book, this looks much more like the result of personal interests. That would very well explain why a lot of room is allocated to niche topics while on the other hand entire areas areas of mathematics are missing.
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