#Vector Algebra

[physicsforever]

Vector Algebra I Mathematical Physics I Important Question With Detail a...

[nosferdoc]

How Harris blew $1 Billion on her lousy campaign or All I Got out of the Campaign was this lousy meme.

[algebraic-dualist]

I love that so very much of mathematics can be described as upgrading linear algebra in various ways.

[then-ponder]

Time to start a wrestle with the mathematicians

[lipshits-continuous]

Let ℱ:={Fⁿ:n∈ℕ₀}/≅, where Fⁿ is the free group of rank n and F⁰:={e}, and let ∗:ℱ×ℱ->ℱ be the free product. Then (ℱ,∗) is a monoid. Moreover, (ℱ,∗) is isomorphic to (ℕ₀,+).

I have omitted the proof of the last claim because it isn't the main point of the proof and I currently only have half a proof for it. I will most likely post the proof once I have it though! (I'm doing it from scratch from a hint my lecturer gave about considering Hom(Fⁿ,ℝ))

[hxrpooner]

people on this webbed site, and honestly non math people in general, seem to completely devalue math as a field and it makes me so sad. guys i promise not all math is high school trigonometry. please don't run away. i promise i'm not going to make you calculate the height of a ferris wheel. let's draw a truth table together. i can show you the world. shining shimmering splendid

[anonymousdormhacks]

It is absolutely amazing how much upper div computer science/engineering relies on vectors and probabilities, considering those two classes were basically footnotes in my school's computer science curriculum

[walterthemelon]

vectors is so fun. Such a nice strand of math

[nablavii]

Sinceramente, una de las fotografías a las que más afecto le tengo.

ft. @ras-al

[johngreen-parody]

When your inner math major comes out of hibernation

[bubbloquacious]

You can define the ring of integers as the set of group endomorphisms of the free abelian group on one point (the infinite cyclic group, i.e. the integers under addition) under pointwise addition and composition of morphisms. This works for any category with free objects and morphism objects. The reason you can identify the set of endomorphisms with the original set of elements is exactly the universal property of the free object on one point: a morphism is uniquely determined by its action on the generator. It happens that rings are monoid objects in the category of abelian groups (but not in the category of all groups!), so for which monoidal closed categories (monoidal to define monoid objects, closed to define morphism objects) with free objects does this endomorphism construction give you a monoid object?

[humormehorny]

Hey nerds! If you are a mathematician or a programmer you need to understand this.

This is Freya Holmer. She is a tech artist - who is interested in programming and mathematicsa programmer and mathematician.

This is from a talk called Why Can’t You Multiply Vectors https://youtu.be/htYh-Tq7ZBI

[a9saga]

i don’t remember leaving this answer on quora over a year ago

[positivelyprime]

We stan Banach Alaoglu in this household o7o7o7

its called a cd because it stands for compact disc

[qcnkfxcbnllb]

non-binary should be replaced with perpendicular

so hear me out male is an axis and female is another axis both perpendicular to eachother

so bigender is a sum of male hat and female hat (both scaled by a quantity), agender is the origin .etc

so following this non-binary should be a direction perpendicular to the male and female axis making it project onto the origin of the male - female plane

[jacoburangite-blog]

m1maths.com

Need to brush up on maths? This might help. Totally free.