Set theory solely exists to facilitate the creation of contrived logic puzzles of no more mathematical merit than a game of sudoku.

Previously >>16899914

Bose was a crank

what math do I need to write cool looking shaders

>>16922249
Define shader

>>16922268
the things that run on your gfx card

What are some cool concepts in the intersection of numerical analysis and linear algebra?

>>16922249
Basic geometry and some linear algebra - the latter is true for most coding though.

>>16921941
fuck miggers

Do you think there exists a polynomial-time integer factorization algorithm? If so, what do you think such an algorithm would look like?

>>16922249
topology

>>16922249
>>16922269
Just learn how to do basic calculations (+, -, x, /) with 3x3 to 4x4 matrices in binary, octa, hexa and decimals.

Is Matt Parker smart enough to do motivic cohomology? Is he smart enough to compute Ext functors? Can he describe what a bialgebra is off the top of his head? Or.... Is he a midwit grifter who can only regurgitate funny math facts and write jeet-tier Python code?

it's crazy how 99.99999% of math was useless until the invention of electricity

>>16922564
It's crazy how you're fucking retarded.

>>16921941
Is there something akin to orientation that has 3 states instead of 2?

your mother is so fat that the axioms of set theory are unable to either prove or disprove that there exists a set b such that it can contain her

>>16922600
Maybe triality?

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>>16922645
The word fat was against the TOS so I had to tell it to say hamburger instead.

so I heard if your elementary algebra sucks you're basically fucked trying to move on to higher math

are there any good algebra problem sets or whatever so I can figure out if I actually know algebra and not just some fucked up version of it from the book I followed?

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What if 1/0 is just another type of imaginary number like sqrt(-1)? Ever think of that, huh?

>>16922700
There are two ways your algebra could suck. The first is you don't even get the point of algebra, you don't understand solving for x, and how x is a representative from an entire class of numbers. Algebra gives you tools for abstraction and speaking in generality. Yes, this is crucial for higher math.

The second is just not memorizing the basic facts (theorems) in algebra like the quadratic formula and the difference of two squares.

If you took algebra in grade school you probably get the point of algebra but you don't remember the important facts. Better yet, you should understand how Algebra give you the tools to *verify* the difference of two squares is as it is

[eqn] a^2 - b^2 = a^2-b^2 +0 [/eqn]
[eqn] = a^2-b^2+ab-ab = a^2+ab-ab-b^2 [/eqn]
[eqn] = a(a+b)-b(a+b) = (a+b) \cdot (a-b) [/eqn]

>>16922709
use case?

>>16922700
>so I heard if your elementary algebra sucks you're basically fucked trying to move on to higher math
Actually, the best way to assess this would be to actually try to move on to higher math. Start reading elementary linear algebra right now:
https://understandinglinearalgebra.org/home.html
Maybe try these interactive challenges, but they include trigonometry and precalculus:
https://www.khanacademy.org/math/get-ready-for-algebra-i/test/x127ac35e11aba30e:course-challenge
https://www.khanacademy.org/math/get-ready-for-algebra-ii/test/x6e4201668896ef07:course-challenge
Try this problem book for the basics:
https://books.openbookpublishers.com/10.11647/obp.0168.pdf
More resources at:
https://textbooks.aimath.org/
https://realnotcomplex.com/
https://github.com/rossant/awesome-math

>>16922700
Ask the AI to test your knowledge

>>16922747
>muh ai
kys

>>16922700
Personally I think solving word problems until you can see how to express them algebraically with minimal effort is the best skill you can develop at that level. Actually performing the baby algebra should be trivial, you can probably fit all the non-obvious rules on a single notecard.

>>16922559
Eh, I used to watch him a lot in high school; many of his older videos are quite nostalgic to me. I don't mind his combinatorics or prime number videos. As for his topology videos, I have no idea - I almost never watch them.
Though the Kellogg's video he released a few days may be the worst video he's ever uploaded. I was about to unsubscribe, but then I remembered he's one of the OG math YouTubers, so I let it slide.

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>x^2 - 3x = -1
>x(x - 3) = -1
>x - 3 = -1/x
>1/x + x = 3

i give up

>>16923010
You should be able to immediately recognize what number plus its reciprocal equals 3.

>>16923010
You're almost there, just multiply both sides by X, then subtract X^2 from both sides, then factor out an X

They cause permanent harm to school children by even teaching them the concept of "degrees" in regards to angles. Any teacher that does so should be imprisoned alongside pedophiles and child murderers.

>>16923010
x^2 -3x + 1 = 0
x^2 -3x + (1+c) = c
x^2 -3x +(1+c) = (x-r)^2 = x^2 -2r*x + r^2

r = 3/2 => (1+c) = 9/4
c = 9/4 -4/4 = 5/4
x^2 -3x +1 + 5/4 = 5/4
x^2 -3x + 9/4 = 5/4
(x-3/2)^2 = 5/4
x-3/2 = +-sqrt(5)/2
x = (3 +-sqrt(5))/2

>>16923010
anon, you're supposed to try to recognize patterns, not just mindlessly apply rules in an infinite loop

>>16923189
Actually, he just needs to mindlessly apply the quadratic equation formula.

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What if you have a square inside of a regular hexagon with unit sides so that three of the vertices of the square are on the perimeter of the hexagon and the fourth one is on the line drawn between two of the vertices of the hexagon like in picrelated.

What is the side length of the square?

>>16922709
Say 1/0 = x, try to prove 2/0 != x. Else x * 0 = 1 and 2. Also does 0 * 1/0 = 1?

>>16923244
let i = 1/0, then 2/0 = 2(1/0) = 2i