<<@educationalmindblower says : i care a lot>> <<@seethesvt says : Ok, but why? What does this information do for us?>> <<@auntcissy says : I like the 5 squaring patern>> <<@dpw0499 says : 27:07 LMAOOOO>> <<@renelepage5053 says : Great. Although I'll have to think it deeper.>> <<@Y2K-b1k says : 2:42>> <<@luketorrence6425 says : i watched a video where this same guys showed me that there are bigger infinities and smaller infinities, and now hes trying to convince me that infinity + 1 isnt a thing.... get real /s>> <<@JohanKaewberg says : Threeadic? We call it trinary or ternary in computer science. Trinary computers existed at one point (USSR). Balanced ternary hardware used -1, 0, 1 times 3^n for trit values.>> <<@littlefloss._. says : 1:19 sorry the zack d films video changed this song for me>> <<@zanezoucha5123 says : But like high-key 1/3 does not equal 0.666666667>> <<@FrancescoMunafò says : This is one of the best mathematics content video ever, congrats to Veritasium for explaining an incredibly complex content in such an understandable and clear way>> <<@nathankiwijoog1031 says : Why am I so uneducated but deeply love numbers 😅>> <<@Mattt_or says : Bruh, the higher system invented this, we only noticed it>> <<@toyinamodu3671 says : I mean anology>> <<@toyinamodu3671 says : The stars apology was perfect . Thanks for the video>> <<@AndijvieMetPatat says : So to destroy skynet, all we need to do is target Kurt Hensel, not protect John Connor.>> <<@doomshroom7682 says : The ...999999999 ending up as -1 reminds me of the way signed integers work but if there was no bit limit. 11111111 in int8 means -1, and when you add 1 it switches every bit to zero from the right and trails off the left side resulting in 00000000 or just 0.>> <<@JossoJJossoJ says : If we used a number system of prime number base from the beginning of human history, would we still get to find p-adic number system?>> <<@AbyNeon says : What a stupid question..... the answer is obvious without using a calculator: f^3 = 1 Mathematically, if you want a pure algebraic function that summarizes every possible way to square a frequency (f) and isolate a common denominator, you look at it as a generalized rational function: f^2 = \frac{P(f)}{Q(f)} Where:f^2 is the squared frequency.Q(f) is the algebraic denominator (which can be any polynomial, expression, or function of f).P(f) is the numerator.If you are treating the entire infinite process as a self-referential or recursive fraction where the denominator itself is generated by the squaring operations, it takes the form of a continued fraction or fixed-point equation:f^2 = \frac{1}{1 + \frac{1}{f^2 + \frac{1}{\dots}}} Mathematically, if the infinite squaring process forces the denominator to equal the frequency itself, the system creates a self-referential loop. When you set the squared frequency equal to a fraction where the denominator is the frequency (f), it forms a fundamental algebraic equation:f^2 = \frac{1}{f} What Happens Next? If you solve that equation by multiplying both sides by f, you get:f^3 = 1 Instead of blowing up to infinity or shrinking to zero, the infinite squaring collapses into a fixed point governed by roots of unity:f = 1 (A pure, stable unit frequency where squaring it forever changes nothing: 1^2 = 1). Complex roots (representing perpetual phase rotation or oscillation, like e^{i 2\pi / 3}). By forcing the denominator to be the frequency itself, the infinite progression stops wandering. It locks into a stable harmonic anchor (1), where the frequency, its square, and its denominator all reconcile into the exact same value.>> <<@Joemama555 says : lol, veritasium got 10 million people to watch number theory>> <<@blakerhodes5024 says : let me guess.....it equals 1>> <<@MauroGames_ofc says : Y not 😂 Why not>> <<@Sonavlogs-vk6fc says : what is square root of n>> <<@TechnoXD623 says : Good guy>> <<@arturaslusnikovas8173 says : "take the number" 10 and square it :), repeat as long as needed (no fence). Decimal system.>> <<@GuilhermeChacon-o6g says : Pq a afirmação de Fermat é uma das mais infemes de todos os tempos? Não entendi isso!>> <<@kien6131 says : 1/3 = 0.33333333333333333333333333333333333333333…>> <<@kien6131 says : 3:05 it’s 100000000000000…000000000000000001>> <<@charlotte22 says : Wow. I have a master's degree in math (from 20 years ago) with an emphasis in abstract algebra and I don't remember ever working with p-adic numbers. I do remember going to a lecture about Fermat's Last Theorem, so I assume I must have heard of it, but it didn't ring any bells while watching this video.>> <<@Leon-really-is-a-nerd-lol says : I was thinking the same. 5 is just really interesting.>> <<@Rubikscubekid1234 says : 67>> <<@Worldisem1111 says : …99999999999999992+1=1×10¹⁷(That’s what it gave me)>> <<@Worldisem1111 says : 0, 1, 65536, the first three x^16 numbers 0^16=0, 1^16=1, 2^16=65,536.>> <<@Worldisem1111 says : 0^16+2^16=65,536 witch is x^16, so x^16+x^16 can equal x^16>> <<@Worldisem1111 says : …99999999999973 = -27>> <<@Worldisem1111 says : So …999999992 = -8>> <<@guilherme6818 says : 20:32 If we're working with mod 9, wouldn't that 15 actually be 6?>> <<@actually_average says : whos here after messi missed the pen against egypt>> <<@guili318 says : x^2=x, x=1, x=0, x=1/2+j/2 (j^2=1, j≠1, j≠-1), x=...890625, x=...6(I could not calculate the rest of the digits so could someone complete it for me?)>> <<@BloxysBeats says : I’d rather work in the 10-adics than a p-adic because I LIKE THE FACT THAT THERE’S A NON-ZERO NUMBER THAT WHEN MULTIPLIED BY ANOTHER EQUALS ZERO.>> <<@ozlembenli1072 says : 42 lS NOT SpoiIer>> <<@peksashipsa says : I dare Numberblocks to try this>> <<@since91productions75 says : 3:12 that would make sense because in that 10-adic number we can see the numbers “142857” and 0.142857=1/7>> <<@Iaorazel says : Without watching, I’m assuming a bigger number>> <<@shreyrathod6967 says : 17:44 you should say x0 y0 instead of x and y>> <<@kwamefrimpongjr7197 says : Cxdcddsdcdvdggjhvcddcddweehvdexdwfvjghdewxddgiwcedxgjugdexugvecdjugcdgecdygujcfefegujvcdfeegjugcdffejghvfcevrdcvjgheffdcjgugdfdwehgvjwerfdvgjurfdw>> <<@IRumburakI says : I don't even like math. Let me out.>> <<@leonardoxavierparedes says : im so scared that topics ill see next year are apearing in veritasium videos>> <<@Imanidiot-z6v6s says : hehe>> <<@starnight-original says : double or divide>>
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