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Mathematics all-in-one cheat-sheet (2013) [pdf]

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Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#161

Post by daveFNbuck »

nutjob2 wrote: post #102
barrkel wrote: post #85

Earlier quoted context omitted.

Things can get a bit customized at either end of the spectrum, but generally each letter covers 15%, with A..D covering the span 100% to 40%. So a B would be 70 to 85.

Shouldn't that sort of grading be on a bell curve? That would seem to be the fairest.

Let's say that most math majors take this course in the first semester of their sophomore year. Then the bell curve grading gives you a much lower grade for identical work if you take the class in the first semester vs second semester. You also get a lower grade for going to a better school. You even get a lower grade for helping your classmates.

This makes the grades unfair and not useful for judging mastery of the subject. It only makes sense if the goal of a course is to beat the other students. For most courses, the goal should be learning.

Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#162

Post by kakaz »

It is interesting and fun! I have a loose suggestion - it could be published together with LaTeX codes for any formula present - so it would be great speed up for someone who wants to use various formula in his works. However the choice of various areas is strange for me ( partially lack of some engineering areas, partially lack of very basic physics things, partially lack of mathematics) A lot of things is missing: Maxwell-Clerk equations. Einstein equations. Schrödinger equation. Dirac equations. Notable: Laplace equation and Maxwell-Clerk equations, wave equation!!! Harmonic oscillator equation. Quantum physics, Heisenberg relation at least please! Hydrodynamic, notable no Navier-Stokes equations. Special functions: Bessel, Jacobi, Lagrange, Chevyshev polynomials, various equations related to it. No elliptic functions, no Weierstrass function mentioned. No various number theory objects: Mobius function, Minkowski function ?() not mentioned. Congruences nearly omitted ( Chinese remainder theorem maybe) Group theory, some simple results from category theory, Shannon theory completely missing. No universal algebra. No basic cryptography. Complete lack of various numbering systems ( binary, hex at least)

Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#163

Post by ktpsns »

xwin wrote: post #113
snazz wrote: post #97

Earlier quoted context omitted.

Probably so that someone can download it without compiling it? GitHub Releases or an equivalent would probably be better, though.

That's right. I would like others as well as myself to be easily able to download the PDF files without having to compile it. I tried out GitHub releases and it works okay but not great. I cannot track all the compiled PDFs I have at a single place or move them easily from one system to another like I could with GitHub repos. I am also trying to avoid getting locked into a specific service like GitHub releases.

I have very good experiences with Gitlab CI: It just recompiles the PDF(s) from the repository within a minimal docker container (containing a full Tex Live repository) and pushes them online on a website (sFTP or similar). Also Gitlab allows to host the build assets.

Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#164

Post by mhartl »

alanbernstein wrote: post #10
mhartl wrote: post #3

Someday the cover will read e^iτ = 1 and all will be right with the world.

Some believe the pi version is superior due to the inclusion of three operators (+, *, exp), and five numbers (0, 1, i, e, pi) which are all fundamental in some sense. The tau version omits the + and the 0.

As the author of The Tau Manifesto, I’m well aware of this (pseudo-)argument, which is dealt with explicitly here: https://tauday.com/tau-manifesto#eq-euler_tau_zero

Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#169

Post by ric2b »

CamperBob2 wrote: post #155
lucb1e wrote: post #131

Earlier quoted context omitted.

Distributing new versions is an issue though, as there is no way to tell anyone who is currently seeding the old torrent. But it's not a terrible idea if it turns out there is really a lot of bandwidth (I don't expect that), then I could use my server for seeding at least.

Hmm, that sounds like an interesting problem in itself, a torrent client that handles versioning and updates behind the scenes.

Isn't that already solved with RSS?

RSS is widely used to publish new pirated tv show episodes already, so that your torrent client can fetch them automatically when they're available.

Re: Mathematics all-in-one cheat-sheet (2013) [pdf]

#170

Post by ric2b »

lucb1e wrote: post #131
iagovar wrote: post #128

Earlier quoted context omitted.

Just use torrent! It's easy, and potentially free!

Distributing new versions is an issue though, as there is no way to tell anyone who is currently seeding the old torrent. But it's not a terrible idea if it turns out there is really a lot of bandwidth (I don't expect that), then I could use my server for seeding at least.

This is a solved problem, RSS is used to automatically fetch new pirated tv show episodes.
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