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I’m disappointed that you didn’t use pi for either the multiplier or the modulus. Guess I’ll have to write a program to show me what happens. 🤔 *edit - use pi as the multiplier and 512 as the modulus and it’s looks very interesting

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Calc 1 is incredibly overhyped on difficulty. The hardest part of calc is the algebra lol Calc 2 on the other hand is quite difficult ime.

awesome video great as a trick for difficult MCQ problems

Swivel proof is much more “aha”-ish at the end 😮 And you should award Conway the “honorary mathologer” medal or something 😢 RIP JC

16:18 damn it also explains why lim tends to infinity (1+1/n)^n = e

This video really helps build intuition for that identity thank you.

I wonder if there is also a connection to rotations i.e. that SO(3) is not simply connected. Would be crazy if that were the case

This reminds me of Davenport's statement on the birthday paradox that he simply cannot believe it wasn't found earlier.

yay 😀 🤗 😆

Worst connect four ever

Dude I hope you teach math. Our school system is so dry, you’re literally teaching sacred geometry with numbers. If I had learned this when I was young I would understand the universe much better.

Ferris Bueller tried reversing an odometer. It didn't end well for him.

I got it!

I liked the "coloring" proof, it was easier to see why it must be true.

Creating a function is really hard, especially in physics.

This proves that perfect circles do not exist , and we can stop limiting ourselves with them

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2x a of stuff = a of stuff squared STOP I KNOW THAT GUY IVE SEEN THAT BEFORE ?!

from triangle inequality the diameter of wiper curve is larger because if you take triangle with base of diameter of wiper and center of circle then 2r_circle < d_wiper

That vortex pattern looks like the vw logo ...

Could you instead count down from the assassin that killed Batman, ignoring the initial numbers? Let’s say that the assassin that killed Batman is assassin i, while the assassin immediately to the left of him is 2i, the next is 3i, so on.

this video is a wealth of information hidden behind an obscure title!

Ofcourse. The universe favors base 10.

The secret to finding the rebel alliance

They've started teaching this in AP PreCalculus, but sadly they are butchering it.

Pi shirt goes crazy

I once asked a math teacher what exactly is calculus. They began doing examples on the board. After politely watching the teacher go through the steps on how to solve a problem, I said that I wasn't asking how to do calculus but rather what it is as a concept. After mumbling something about change over time, they gave up. So I majored in philosophy.

i want this shirt

Wont ce^(x^2)-1 work

Looking at this video, the guy in the video and the comments, it makes sense why is the greatest Tesla

You started simple and moved to a terrifying state by displaying those functions

the awnswer 15:36 IS 5 18:47 SCHIFFALI SYMBOL {5/2} 20:58 180

The swivel proof is definitely cooler although I went basically the color proof route.

But is 1/x a "shape" in the same way as a cat? One has infinite area, the other doesn't?

29:55 plus or minus i ? That is the detail he is referring to?

i created a c program to anser calculus questions from harvards math entrance exam - easily done

To an Engineer every number has value and precision. So my 10 is a ten to the precision of my measurement. My 0.9999... is to the precision of my measurement. I might say that .999... approaches 10 as it's precision approaches infinity.

This looks like an optical illusion, because the lines don't really appear to be of equal length!! Fascinating stuff!! Even though the professor maintains that they are all of equal length, or so I thought 💭 I heard him say!! Hmmm!!! Food for thought 💭

the reuleaux triangle reminds me of a tool arctic peoples use to skin animals. there are many synergetic surprises in how geometry gets into ergonomic designs. there are many ways to skin a cat in math, too.

I don't understand the 3 colour proof, so I like the magenta-aqua proof.

7:54 is the perfect analogy to think the paradox rationally: You can divide any shape by adding a number of lines, but it will still have the same area.

Proving continuum hypothesis , proving inconsistency in ZFC , constructing ZFC from naive set specification , resolving Russell's paradox , constructing infinite number system , construct and ensure overall consistent mathematical universe and developing arithmetic system - edition 8 May 2024 DOI: 10.13140/RG.2.2.21713.75361 LicenseCC BY-NC-ND 4.0

i still dont think homer would understand...

The answer to the question in your upload's title is so simple I can't understand why you can't work it out. For centuries now, the masses don't need to know any maths to do factory labour. Today all they do is press buttons and clean the robots. The holy grail for the manufacturer is a workforce of zero. As it is now, when new factories are built, they invent jobs for people in them to get the tax breaks. The workers are becoming surplus to requirement. What jobs will they do, maths teachers, hardly, that will be done much better by software.

36:23 😵‍💫😵‍💫😵‍💫😵‍💫

About Gelfund's number : it used to be a joke that mathematicians did to programmers Compute exp(pi) - pi and it should give 20, if it doesn't, you have floating point rounding problems.

31:43 quotient rule -> what does h stand for?

I do like to say that we may take Brahmsgupta formula as the base to return from this formula to Hero formula. The form of Barhamagupta formula I do like to memorize as below Area of quadrilateral = 1/4√[(-a+b+c+d)(a-b+c+d)(a+b-c+d)(a+b+c-d) ] ++ note that sign of a,, b, c, d become negative one after another ++It will be easy to memirize++ Now if we take d=0 then we may get Hero formula. Area of 🔺 = 1/4√[(-a+b+c)(a-b+c)(a+b-c) (a+b+c)] ++ Sign of a, b, c is negative on after another ++It is also easy to memorize and also to check whether we have correctly reach to Hero from Brahmagupta or not.

Soooo, a distance is a one dimension entity, but it can be calculated as a 2 dimensions entity. Where am I wrong here?