#theorems

[theriverbeyond]

what do theorems mean in tlt? that bit always confused me

a theorem is a (mathematical?) statement that has been proven as true (using a proof) and is often used to solve more complicated problems. i.e. the Pythagorean theorem being used to solve for various properties of a right triangle, and further than that, it can be used for useful IRL stuff like architecture and getting a plane off the ground.

the Locked Tomb treats necromancy like a science, with (unexplained) rules, methods, equations, theorems, etc. Harrowhark mentions the "theorem mathematics" of the creche massacre when she confesses to John in HtN, and later on in the same book Ianthe is mentioned as having a notebook filled with "substantial mathematics" related to her necromantic study.

THEREFORE when they say "theorem" in TLT I imagine how in order to get a plane off the ground you have to do a lot of math first to calculate stuff like interia and force and air resistance and friction, and then to keep it flying you have to do yet more math and think about things like how you will lose some amount of energy as heat.

following that, in order to get a skeleton to fold your laundry you have to do a lot of math first about the energy requierments of cell division (regarding building the skeletal frame up from a single bone chip), cell differentiation (building out ligaments as needed), etc necromantic verbage, and then to KEEP it folding that laundry you have to do yet more math about like, i dunno. Gravity and energy loss.

it seems like a lot of work, honestly. no wonder normal, non-Lyctoral necromancers are always bleeding and sweating all over the place

[notonlymaths]

Okay, so, the Intermediate Value Theorem (IVT) clearly states that if you start from point (a,f(a)), below the x-axis, and move towards (b,f(b)) above the x-axis without lifting your pen up, you have to cross the x-axis at some point; (x_0,0) here. But, isn't that too obvious to be a theorem?

Can you see the hidden implication here for the foundations of mathematics?

[sdpubliclibrary]

The La-La Theory!

Issue #1: Fun with Words

[greekgodznerd]

The Infinite Monkey Theorem

“The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type any given text, including the complete works of William Shakespeare” - Wikipedia

so could the monkeys finish writing the entire code for yandere simulator before the creator finishes it?

[picked4design]

American eagle civil war

[forgottenbones]

Gauss Divergence Theorem. Get The DEEPEST Intuition

[tribalephemeral]

SOUND CHECK: 'Cryptogram of Cosmic Glue'

SOUND CHECK: ‘Cryptogram of Cosmic Glue’ Loki Series #19, Fall 2016 ….. The flames licking the sides — bursts of activity — creation or destruction — Some things imply while others recoil .. If and Only If is symmetrical, yes…While some minds may be of Unity, or among the unity of universe, yet others recoil from what’s next – sensing, in their bones, that they are headed to an undefined – a…

[cleolinda]

Louisiana students Ne’Kiya Jackson and Calcea Johnson wowed their teachers in 2022 when they discovered a new way to prove the 2000-year-old Pythagorean theorem in response to a bonus question in a high school math contest. But that was only the beginning.

A volunteer at their former school, New Orleans’ St. Mary’s Academy, encouraged them to submit their work on the famous mathematical theory to a professional conference, and in March 2023 they became the youngest people to present at the American Mathematical Society’s Southeastern Sectional conference in Atlanta. Their appearance elicited a wave of media coverage, including a spot on “60 Minutes.” The pair also received symbolic keys to the city of New Orleans and a shout-out from Michelle Obama.

Now Jackson and Johnson, who started college last year, have notched another achievement: authoring an academic paper detailing their original proof — plus nine more. Their work published Monday in the scientific journal American Mathematical Monthly.

Bonus:

[h0bg0blin-meat]

Here's the link to the video

👏 SAY 👏 IT 👏 LOUDER 👏

[kimludcom]

Terrance Howard: "I'm EXPOSING the whole damn thing."

[kimeoshi]

Corrupted Ratio for Twitter! Reached 2k followers and he won in a prompt game

Timelapse:

[zanephillips]

Teorema (1968) dir. Pier Paolo Pasolini

[speronyx]

tarski's fixed point theorem!! it's so easy to intuitively understand, and i almost use it for every fixed point problem I encounter, be it in metric spaces, topology or real analysis

Math people, reblog with your fav theorem and why.

I'll start, the Wedderburn-Artin theorem is a beautiful structure theorem on semisimple rings which says they decompose uniquely as a product of matrix rings over division rings. This is a beautiful result but it also underlies a lot of very cool theory like Brauer Theory, Galois Cohomology and the theory of Galois and Étale Algebras.

What's yours?

[mastermentorr]

Alert! Try out the TRIANGLES if the basics are base.

Did you know that there are six types of triangles? Three are based on sides and the other three are based on angles. Can you name all the six triangles?

Are you trying to recall them? Take test now & get your Gap Analysis report to see how much of your class 9 triangles you know & remember properly!

What is the point of taking a test in class 9, when you are already in class?

The point is, the confirmation that your triangles basics are strong enough to boost your Maths score in class 10. Talking of the basics, despite the existence of 6 types of triangles, many polygons are similar to each other but can you tell if two given triangles are identical or not? This is probably the easiest part among all the concepts of triangles. Taking a common example of us having similar features as our family. Similarly, a triangle can be similar to another triangle based on a few feature criteria such as:

Angle- Angle (AA) criterion

Angle- Angle- Angle (AAA) criterion

Side- Side-Side (SSS) criterion

Side-Angle-Side (SAS) criterion

Do you know these? That’s great. You know what can make you better at it? A test. A SeekoG academic diagnostic test on this chapter in class 9th will exactly tell you how good you are in each concept.

Another triangle concept that can confuse you with the similarity concept is the concept of proportionality. This concept is based on a theorem. Take notes here people!!

“If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides of triangles are divided in the same ratio.”

Will it be better if an example would have been provided? Definitely!!

It gets better when practical or visual representations are included in resources, right? But do you need a visual representation when we talk about Pythagoras’ theorem? Probably not if you took the Trigonometry chapter’s test in the SeekoG app. You must be thinking that suddenly why exactly is this topic of Pythagoras’ theorem popped out of nowhere? Here’s a secret this chapter consists of an interesting part that proves Pythagoras’ theorem. Can you remember what the Pythagoras’ theorem says? Hint: It is about one of the types of Triangles. Hopefully, Triangles will be a lot easier now. Still, keep learning because it will be marked along with the knowledge that you’ll be earning.

Want to check why you should not neglect the chapter on Probability? Click!

[magic-worms]

so like i did not expect at all for my tf2 baboon post to get so popular or to see a ton of new followers from it. but that’s what happened. i can’t believe you guys like isa so much

you like her?? my little baby monkey?? my seven year old sweet little baby typing monkey??? well you’re in luck because i like her too and i haven’t been able to stop drawing her. here’s some family doodles

+ a couple scoutlings ^_^

[cotangent-space]

Ok, the above is obviously low key dystopic but at the same time I do love an informal or metaphorical theorem name, like the ham sandwich theorem (given any n regions in R^n, there exists an (n-1)-plane bisecting all three) or the shoes and socks lemma, i.e., (f ∘ g)^-1 = (g^-1) ∘ (f^-1).

You guys know the squeeze theorem, a.k.a. the sandwich theorem? The one where if you have 3 functions that satisfy:

g(x) <= f(x) <= h(x)

And the following is true (as x approaches a):

L = lim g(x) = lim h(x)

Then (as x approaches a):

lim f(x) = L

Well it just clicked for me that in my Eastern European country, we call it "the two policemen lemma". Imagine how much of a police state it must be, that people see a line squished between two other lines and think: "Damn, another enemy of the state..."