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Q: let X=R^3\{O}, the complement of a point O belong to R^3. then X can be partitioned into Euclidean lines. sir kindly make video on this Q

I was literally just working on this problem! Although my main question was what is the expected value of x given some bound on the length and a set of probabilities.

That was wonderful, i was only able to take up to multivariable calculus and second year linear algebra so i was really curious what came after thanks for this video. Looking forward to the post grad version! <3

So I’m guessing ur smart … right?

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Also known as "the weirdest thing math has come up with, ever".

I'm here because I'm thinking quit the boring medicine and go to studying the lovely mathematical

how do I choose what do research? I would really appreciate an answer

I took 35 and I actually wanted to take more: Proofwriting Single variable calc Linear algebra Discrete math (graph theory + combinatorics) Python Mathematical modelling Multivariable calc Group theory Real analysis Probability theory Mathematical modelling of dynamical systems Fourier analysis Numerical methods Ring theory Statistics Mathematical modelling of stochastic systems Complex analysis Dynamical systems Topology Geometry (bits of Euclidean, projective, hyperbollic and algebraic) Measure theory Number theory Computer assisted proofs (for algebraic geometry) Galois theory Ethics History of science Functional analysis PDEs Differential topology Differential geometry Biomedical mathematics Representation theory Module + category theory Set theory Automata + complexity theory

You ought to see what doing this on binary numbers does! You do it the same way, pairing digits up. For the doubling, that simplifies to appending 0 to the right end. For the multiply & test, there is only 1 test: a 1 digit. You append 1 to right of the doubling. You multiply by 1 (don't need to do as it is the same number), do the subtract, discard if too large & append 0 to answer, else append 1 & keep the subtract. So for the test, you take answer (so far) & append "0 1" to the right of it, subtract, append either 0 or 1 to the answer, etc. A few iterations of square root of 2 illustrated. 1 . 0 1 1 √10.00 00 00 00 01 < first subtraction 1 00 < remainder, bring down next 2 digits 1 01 < this is answer with 01 appended, too large, discard difference, next answer digit 0 1 00 00 < unchanged remainder, bring down next 2 digits 10 01 < answer with 01 appended, not too large, next answer digit 1 01 11 00 < remainder subtracted from, bring down next pair 1 01 01 < answer with 01 appended, not too large, next answer digit 1 etc.

Why do so many really smart people talk so ludicrously with their hands?

You can go even higher abstract! Integration on a locally compact topological group with a left-invariant Haar measure! (Abstract Harmonic Analysis)

My strong mathematics background (Bsc mathematics special degree , University of Ruhuna in Sri Lanka). I am a mathematics teacher. I am iteresting maths jobs then go to abroad or online. Help please.

seems that there is a much clearer way to explain the maths visualization of the sqrt long division algorithm but thank you for this vid, and your interest in the subject

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Just one thought (before even finishing the video): Man you never fail to prove yourself (at least to my humble mathive self) as legendary as 3B1B and Numberphile here on YT. i remember i once embarked on a lonely journey to find out why this works, and sure got many lovely insights along the way; that's why i personally see how elegantly you nailed it. Well done.

Hey there, do you have programming in a maths degree. Like C++ or Rust? Anyways, amazing content, subscribing

In korean, 'cee bar' means f-words lol

The square of the formula for the sum of integers, I think, lol, but that's memory...[n(n+1)/2]^2, etc...

please never stop making videos, youre great <3

Can you give me resources for learning coding that you have shown in this video?

Did you have to re-ask professors to submit rec letters?

Bravo Chalk! This was very interesting

First I learned about the Xorn monster in Dungeons and Dragons. Now I learn about the proper Zorn. Which is scarier?

Put the light 45 degree in front of your hand , should remove de shadows ...

That set had three elements, representing the integers 0, 1, 2. So 'second' (2 as an ordinal) is the third element in the set. If I understand it right.

I recently did this problem in Silverman's abstract algebra book. It definitely makes you consider how induction applies.

That's quite the surreal timing achievement, at the exact 5 minute mark. (PS: As an Österreicher (Austrian), my heart bleeds when an ö is pronounced as if it were an o.)

Doesn't Mendlebrodt define a fractal explicitly as a set where Dh>Dt?

Showing the correspondence that way was incredibly enlightening and shows exactly why there's that "flipping" when chaining the automorphism groups. This is awesome! Thanks!

CHALK, You're the best! I just had to subscribe!

The shadow is noisy