Math Team Things

Math Team is fun. Please submit ideas! Please.

[justmathteamthings]

Test

[recently-reanimated]

This video has permanently changed my vocabulary so I need you all to see it

[ayeforscotland]

Scotland has become the first country in the world to enshrine the right to free period products in law.

[studentlifeproblems]

4 is an interesting number

[skunkbear]

Big math news! It’s been thirty years since mathematicians last found a convex pentagon that could “tile the plane.” The latest discovery (by Jennifer McLoud-Mann, Casey Mann, and David Von Derau) was published earlier this month. Full story.

[the-real-numbers-deactivated202]

(1+9^(-4^(7*6)) )^(3^(2^85))

Contains all digits from 1-9, which is trivial, but kinda cool.

It’s also a good approximation to e, which is pretty exciting.

If I told you it was correct to four billion, sixty seven million and thirty five decimal digits, would you believe me?

Well you shouldn’t, because it’s actually correct to 18,457,734,525,360,901,453,873,570 decimal digits, which is way more than it ever should be.

Source

[thetwomeatmeal]

dangerous math misconception

so you know how, if A and B are n by n matrices, trace(AB) = trace(BA)? it is NOT true that the trace of an arbitrary product of n by n matrices is independent of order. the most you can do in general is cyclically reorder them: for example, trace(ABC) = trace(CAB) = trace(BCA). (try proving the theorem for more than 2 matrices using the theorem for pairs, and see what you actually get.)

[savrenim]

Is Your Child Texting About Math?

TFAE – the following are equivalent

WLOG – without loss of generality 

DNE – does not exist 

FG – finitely generated 

AE – almost everywhere 

BMO – bounded mean oscillation 

∀ε>0 ∀ f∈F ∃δ>0 st ∀ x,y∈ [a,b], |x-y|<δ⇒|f(x)-f(y)|<ε – uniformly equicontinuous 

QED – thank fucking god the proof is over 

[guykneecologist]

This.

[sixpenceee]

omfg reblogging till the end of time

[justmathteamthings]

Just Math Team Things 109

Taking a test and trying to remember the answer to a question exactly like it on a past test

[mymodernmet]

Interlocked Coins Form Complex Geometric Sculptures

[iomni-deactivated20201210]

@ibilateral

[ibilateral-deactivated20210928]

Ily

[mathematica]

17 Number Facts about 2017 in 2:17 with Matt Parker of standupmaths

[justmathteamthings]

Just Math Team Things 108

When the answer to a probability question is 100%

[mathprofessorquotes]

Calculus I at SDSU, 

Flight distance = distance lizards run away

[justbadpuns]

I, for one, like Roman numerals.

[akumeoy]

[mathed-potatoes]

I mean, aren’t most numbers deficient? It would be worse if it was weird…

[justmathteamthings]

A wasteful number is a number with fewer digits than the number of digits used in its prime factorization (including exponents).

A deficient number is a number n for which the sum of the factors of n is less than 2n.

An evil number is a number that has an even number of 1s in its binary expansion.

An apocalyptic number is a number of the form 2^n which contains the sequence 666 somewhere in its decimal expansion.

(Definitions courtesy wikipedia and googology)

[szimmetria-airtemmizs]

We have three colored segment in this animation. Surprisingly the length of the longest one is always the sum of the length of the two smaller ones.

This is actually a very special case of Ptolemy’s theorem. The theorem gives a connection between the sides and the diagonals of a cyclic quadrilateral. In this case the length of the dashed lines is equal so the theorem can be simplified to the statement above.