HexagonVideos
HexagonVideos
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According to mathematics, there is more than one "longest day"!? (Equation of Time)
According to mathematics, there is more than one "longest day"!? (Equation of Time)
Просмотров: 2 324

Видео

About an unintuitive concept that explains unsolvable Puzzles
Просмотров 53 тыс.Год назад
What is the reason that certain seemingly simple problems, like some special Rubic's Cubes, can't be solved? We have to investigate the property known as Parity... Try the 15 Puzzle online: lorecioni.github.io/fifteen-puzzle-game/ Our parity proof: "The Sign of a Permutation", Keith Conrad, kconrad.math.uconn.edu/blurbs/grouptheory/sign.pdf Theorem 2.1. Article about the 15 Puzzle: daily.jstor....
What is the Riemann Hypothesis REALLY about?
Просмотров 560 тыс.Год назад
Solve one equation and earn a million dollars! We will explorer the secrets behind the Riemann Hypothesis - the most famous open problem in mathematics - and what it would tell us about prime numbers. I should have mentioned one additional property, namely zeros are mirrored along the line 1/2, even though non of them are found and maybe even non of them even exist. This way, every zero not on ...
Numberphile's Square-Sum Problem was solved! #SoME2
Просмотров 384 тыс.Год назад
Breaking Math News! The "Square-Sum problem" by Matt Parker/Numberphile was solved! Let's explore HOW it was solved and how we could have stumbled upon its solution. Link to the original video: ruclips.net/video/G1m7goLCJDY/видео.html Book by Matt Parker: Things to Make and Do in the Fourth Dimension The proof was given by Robert Gerbicz and posted in an online forum www.mersenneforum.org/showt...
The hidden link between Prime Numbers and Euler's Number
Просмотров 151 тыс.3 года назад
We will discuss how miraculously Euler's Number appears when asking how many factors a number has on average, which is closely related to the distribution of prime numbers. I still remember how amazed I was, when I first learned about this fact, so I had to share it with the world.

Комментарии

  • @Kraflyn
    @Kraflyn 2 часа назад

    this expression doesn't converge to the left of nor on s=1...

  • @SidneySilvaCarnavaleney
    @SidneySilvaCarnavaleney 2 часа назад

    Dear noble friends of this simple page, I apologize if the numbers I mentioned are not prime, and the exact and non-exact roots are equal to the enigmatic number of pi that I standardized (3.15), thus this "Hypothesis Riemann completely loses its strength in the theories of past times, and in the current era this enigmatic number of pi has been standardized to be Rational and Irreversible with a fraction of whole numbers, with two beautiful standardized formulas....

  • @SidneySilvaCarnavaleney
    @SidneySilvaCarnavaleney 2 часа назад

    Dear noble friends of this simple page, I apologize if the numbers I mentioned are not prime, and the exact and non-exact roots are equal to the enigmatic number of pi that I standardized (3.15), thus this "Hypothesis de Riemann completely loses its strength in the theories of past times, but in the current era this enigmatic number of pi was standardized to be Rational and Irreversible with a ratio of whole numbers, Mr Sidney Silva.

  • @SidneySilvaCarnavaleney
    @SidneySilvaCarnavaleney 3 часа назад

    Dear noble friends, Teachers, students, acquaintances of this simple channel, what impact would it have on the Universe of Mathematics, by stating that some numbers mentioned are not prime? and the Twin Cousins ​​don't exist? two; 19; 41; 59; 61; 79; 101; 139; 179; 181; 199; 239; 241; 281; 359; 401; 419; 421; 439; 461; 479; 499; 521; 541; 599; 601; 619; 641; 659; 661; 701; 719; 739; 761; 821; 839; 859; 881; 919; 941; 1019; 1021; 1039; 1061; 1181; 1201; 1259; 1279; 1301; 1319; 1321; 1361; 1381; 1399; 1439; 1459; 1481; 1499; 1559; 1579; 1601; 1619; 1621; 1699; 1721; 1741; 1759; 1801; 1861; 1879; 1901; 1979; To state that the enigmatic number of π, in the current era it is Rational and Irreversible with three integers and fifteen finite hundredths after the decimal point (3,15) with fractions of integers; In this thesis of mine I created a law that has to be respected, It cannot be approximated, It cannot be rounded, It cannot be simplified, It cannot be factored, it has to be 100% exact for the calculations of π. To state that the Fibonacci sequence, at its end, arrived at the enigmatic Golden Number (Golden Number), Rational, Natural and Real with a new formula? Claim that the enigmatic Euler number is Rational, Integer, Natural and Real with a new formula? Stating that "Sidney Silva's Theorem" is 100% accurate?, where the "Theorem" says: The Hypotenuse raised to the second power is Equal to the Division of the second power of the Cathetos? 2) and eight more standardized formulas? Stating that Inches are calculated only in Millimeters? Claim that Electrons and Protons have stable shells with 100% stable Atomic numbers? Where the Neutrons are Negative within the Electrons and Protons. Claim that the Trigonometric Table is 100% accurate for the number of π, fully revised and updated? Claim that the "Law of Cosines" is accurate for π Radian calculations? Stating that the famous number Zero(0) is equal to 0.5? "Mathematics is the Knowledge of Thinking" and "The boldness of being rational". Mr Sidney Silva

  • @SidneySilvaCarnavaleney
    @SidneySilvaCarnavaleney 3 часа назад

    Eureka!!!!!! Eureka!!!!! a Brazilian has just revolutionized the Mathematics community, he standardized the enigmatic number of pi to be Rational and Irreversible, with a fraction of integers he arrived at this great and unique majestic discovery, he did not round, he did not simplify nor did he approach it, reaching three integers with fifteen finite hundredths after the decimal point (3,15) now NASA will go into universal collapse... however, the calculations of past times have completely lost their strength, a mathematical innovation...

  • @sherifffruitfly
    @sherifffruitfly 5 дней назад

    I love this explainer because it's the only one I've seen talking about the Fourier series aspect. Thank you!

  • @gplgomes
    @gplgomes 5 дней назад

    But the relationsheep is between to the dividers and not to the prime numbers.

  • @Bhuyakasha
    @Bhuyakasha 6 дней назад

    If it would have so much impact why dont we just assume it is true and use it to push humanity forward? Or is that too much of an engineering approach?

  • @thomaslabarriere7711
    @thomaslabarriere7711 6 дней назад

    I have slight misunderstanding concerning the last implication at 13:09 : "number of moves = 3 • transpositions". If one move requires 3 transpositions, shouldn't it be the number of transpositions that is equal to 3 • number of moves ?

  • @lubomazan319
    @lubomazan319 6 дней назад

    When calculating an error in % he should use a base for percentage the 'true avarage' not 'ln(n)' . In such case the error would be much smaller.

  • @thomaslabarriere7711
    @thomaslabarriere7711 7 дней назад

    Amazing video, thank you for such a clear and intuitive explanation of a not-so-inutitive concept !

  • @tommyrjensen
    @tommyrjensen 8 дней назад

    Something is confusing at 5:00, since the definitions of ζ(s) and Γ(s) are only given by the displayed integrals for Re(s) > 0, and otherwise you need analytic continuations.

  • @Petch85
    @Petch85 9 дней назад

    How and why was the Riemann zeta function discovered/created?

  • @lonewolfmtnz
    @lonewolfmtnz 18 дней назад

    deranged numer-nerds are why rational people hate pointless maths

  • @ilovescience7655
    @ilovescience7655 19 дней назад

    This video reminded me of why I love math, such a masterpiece!

  • @user-jw2ij2uf3n
    @user-jw2ij2uf3n 20 дней назад

    Shift has a problem, no? given the regular sequence 8, 1, 15, 10 (one of your examples), shifting by 1 (with alternating sign) yields 9, 0, 16, 9. I'm not concerned with the 0 -- i could find another better example. But I am concerned about seeing 9 in the sequence twice. This transformation seems to not hold. (If it follows the a^2 transform, where c < a^2/2, maybe that works...)

  • @darkrozen4110
    @darkrozen4110 20 дней назад

    I have a question about the square-sum problem (since it's been solved) : Can the solution be extended to solve a Hypercube-sum problem?

  • @darkrozen4110
    @darkrozen4110 20 дней назад

    Cool, now do it with cube numbers.

  • @DSTUSEV
    @DSTUSEV 20 дней назад

    You should explain, why it happens that you can link them up in a line

  • @asagiai4965
    @asagiai4965 20 дней назад

    As I think about it. There is technically a must simpler solution to this problem.

  • @Nobody_114
    @Nobody_114 20 дней назад

    why is this important?

  • @smoceany9478
    @smoceany9478 21 день назад

    3:08, pretty sure 1 is possible

  • @gervas..4579
    @gervas..4579 21 день назад

    Square numbers are 4, 9, 16, 25. Those are the min and max the sum of two numbers in the series we can add to get those square numbers Trial and error And vuwala 8 + 1 + 15 + 10 + 6 + 3 + 13 + 12 + 4 + 5 + 11 + 14 + 2 + 7 + 9 Please comment if im wrong

  • @gervas..4579
    @gervas..4579 21 день назад

    This is a series and sequence tyle of question, just use aritmetic pattern

  • @Zayka007
    @Zayka007 21 день назад

    Sometimes I find that these kind of problems shouldn't exist because I don't see the purpose behind them, it's like looking for weird records achieved by a certain players, for example, player X from country Y has scored a goal against Z after the eclipse of 2024 while he has an injured leg in the stadium that just have been renovated....

  • @schoktra
    @schoktra 21 день назад

    @9:40 interesting how shift(4s,-2) creates a sequence in which the first 7 numbers are immediately repeated backwards thus making a 14 number long palindrome of results.

  • @rasputozen
    @rasputozen 21 день назад

    I appreciate the explanation at the end for why the ninja-pairs weren't derived. That said, do you really think there isn't a human-comprehensible line of reasoning to understand their derivation?

  • @АВС
    @АВС 21 день назад

    very cool

  • @TymexComputing
    @TymexComputing 21 день назад

    Nice one - but what happened in 26:23 to the violet 30?

  • @joseantoniogarcia-trevijan3864
    @joseantoniogarcia-trevijan3864 21 день назад

    But 1 should be ticked green

  • @ObsidianMonarch
    @ObsidianMonarch 21 день назад

    Insultingly a Chick-fil-A add popped up when I clicked on the video in question... if people were thinking for themselves they would see this for what it is.

  • @philiprea8540
    @philiprea8540 21 день назад

    beautiful

  • @deleted-something
    @deleted-something 22 дня назад

    wow!

  • @geoffstrickler
    @geoffstrickler 22 дня назад

    It’s a great proof, explained in a very accessible way.

  • @LesslyPoint
    @LesslyPoint 22 дня назад

    This is great!

  • @raresaturn
    @raresaturn 23 дня назад

    You didn't explain how to find zeros

  • @Antagon666
    @Antagon666 23 дня назад

    Hmm wouldn't proof by diagonalization be possible?

  • @jcdavid1974
    @jcdavid1974 24 дня назад

    and who formulated the second equation

  • @jcdavid1974
    @jcdavid1974 24 дня назад

    COuld you please explain the process by which you went from the integration operation to the 1/root cosine (lnx-arctan) operation

  • @jcdavid1974
    @jcdavid1974 25 дней назад

    How can this video be referenced in a presentation?

  • @soulsand4287
    @soulsand4287 26 дней назад

    I wasn't expecting the 2.7 so early

  • @zdenekpavlas3566
    @zdenekpavlas3566 28 дней назад

    Since i^2=-1, i and -i are actually defined to be the same number. Complex plane is a half-plane.

  • @godfreytomlinson2282
    @godfreytomlinson2282 Месяц назад

    You're a good guy Hexagon. Don't let anyone tell you otherwise.

  • @goldenminecart
    @goldenminecart Месяц назад

    noise be like: mmMmMMMmmmMMMMMmmmmMMMMmmMMMMMm

  • @lawrencenash4351
    @lawrencenash4351 Месяц назад

    have we tried to disprove it

  • @4115steve
    @4115steve Месяц назад

    does this mean there is an absolute infinity like there is an absolute 0 degrees? if 1 can be infinitly divided does that mean that 1 is infinity

  • @adoraswift4298
    @adoraswift4298 Месяц назад

    19:47 why do we only care about how fast it grows

  • @samueldeandrade8535
    @samueldeandrade8535 Месяц назад

    Man, this video is perfection ...

  • @obsolesced
    @obsolesced Месяц назад

    Somehow it wasn't obvious that an integer point can always be captured by a hyperbola with an integer numerator until I thought more about it. Also that all integer points below a hyperbola will be captured by hyperbolas with smaller integer numerators..

  • @VideoFunForAll
    @VideoFunForAll Месяц назад

    Math video of the year. Finally someone who explains the big deal!