Ron & Math
Ron & Math
  • Видео 26
  • Просмотров 617 806
Feynman's Technique For Dummies
This video was sponsored by Brilliant. To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/Ron . You’ll also get 20% off an annual premium subscription.
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References
1. Zacky's blog: zackyzz.github.io/index.html
2. Cantor's Paradise: www.cantorsparadise.org/richard-feynmans-integral-trick-e7afae85e25c/
3. Leo Goldmakher's article: web.williams.edu/Mathematics/lg5/Feynman.pdf
4. This nice answer: math.stackexchange.com/questions/390850/integrating-int-infty-0-e-x2-dx-using-feynmans-parametrization-trick
5. And this answer for the side quest: math.stackexchange.com/questions/2931388/integration-of-ln-sin-x-from-0-to-frac-pi2-by-duis
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Timeline
0:00 Introduction...
Просмотров: 5 275

Видео

What's In The Rabbit Hole Of YouTube Video IDs?
Просмотров 5443 месяца назад
Timestamp: 0:00 The number is wrong 0:54 Base64 counting system 2:06 A conversation in 2004 3:02 DES and 3DES encryption 5:20 An imaginary security risk 6:48 Birthday paradox 8:05 Estimating the size of RUclips References: The Hackernews post: news.ycombinator.com/item?id=25302558 The Sweet32 attack explained: sweet32.info/ The paper on sampling RUclips: journalqd.org/article/view/4066/3766 The...
Spectral Graph Theory For Dummies
Просмотров 51 тыс.3 месяца назад
To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/Ron . You’ll also get 20% off an annual premium subscription. This video was sponsored by Brilliant. References: 1. Cornell University Lecture Note: people.orie.cornell.edu/dpw/orie6334/Fall2016/lecture7.pdf 2. Spectral Graph Theory Lecture by Steve Butler: www.stevebutler.org/spectral2023 3. Spectral Graph Th...
Animate Commenters' Solutions: An Escaping Frog
Просмотров 5714 месяца назад
The post: ruclips.net/user/postUgkxsDLurSbaFOnvCNNf3fDT0ER7FLAGAlMp Timeline: 0:00 Question Introduction 1:02 Linear Equations Solution 2:25 Exponentiating Transition Matrix 5:04 Simulation is Always a Way
The Solution in Your Mind is The Only One
Просмотров 16 тыс.4 месяца назад
Egyptian fractions are simple to understand and fascinating to play with. This video serves as a primer for this beautiful domain of work. References: 1. r-knott.surrey.ac.uk/Fractions/egyptian.html 2. oeis.org/A006585 3. en.wikipedia.org/wiki/Egyptian_fraction 4. brilliant.org/wiki/egyptian-fractions/ Timeline 0:00 Primer 1:00 Egyptian Fraction Expansion 1:23 Solution for Expansion of 1 with A...
A Countable Introduction To Infinity
Просмотров 2,4 тыс.4 месяца назад
Infinity is one of the most fascinating topic in mathematics. I hope this video serves as a gentlest, jargon free introduction to infinity without losing too much rigorousness. 0:00 Dirichlet's Working Schedule 0:36 The Intuition for the Sizes of Rational and Irrational Numbers 3:24 Cardinality of Sets with Infinitely Many Members 6:08 Prove Cardinality of Rational Number is Aleph 0 8:39 Explor...
So You Are GOOD at Logic?
Просмотров 1,7 тыс.5 месяцев назад
Reference: Modeling and solving self-referential puzzles: hrcak.srce.hr/78211?lang=en Self-Referential Aptitude Test by Jim Propp: maa.org/press/periodicals/math-horizons/self-referential-aptitude-test-by-jim-propp Breaking logic with self-referential sentences: mathenchant.wordpress.com/2016/11/17/breaking-logic-with-self-referential-sentences/ Desmos plot used in the video: www.desmos.com/3d/...
Dirichlet Function: The King of Calculus Counter-Examples
Просмотров 28 тыс.5 месяцев назад
Reference: demonstrations.wolfram.com/TheModifiedDirichletFunction/ mathworld.wolfram.com/DirichletFunction.html math.fel.cvut.cz/mt/txtb/4/txe3ba4s.htm 0:00 Five Anti-intuition Calculus Questions 0:20 Derive the Dirichlet Function 1:35 Dirichlet Function Formal Introduction 2:07 Can A Function Be Defined Everywhere but Discontinuous Everywhere 3:37 Can The Sum of Two Discontinuous Function Be ...
Why are Towered Exponents Right Associative?
Просмотров 1,3 тыс.5 месяцев назад
The tetration playlist: ruclips.net/p/PLom0o1f7DWJoz4oJ1MLvqR9mqdMsX25Di 0:00 Google Sheet and Excel gave different answers 1:01 When should we introduce new math notations? 2:42 Left-associative tetration doesn't introduce new math 3:26 Hyperoperation and its recursive nature 5:41 A fun calculation of pentation
0^0: A Century-Long Debate over the Symbol and Its Definition
Просмотров 33 тыс.5 месяцев назад
References: Euler's book (translation): www.17centurymaths.com/contents/euler/introductiontoanalysisvolone/ch6vol1.pdf Undefined vs Indeterminate in Mathematics: www.cut-the-knot.org/blue/GhostCity.shtml Donald Knuth 1992 article: arxiv.org/pdf/math/9205211.pdf History of Mathematics: Conventions: www.parabola.unsw.edu.au/files/articles/2000-2009/volume-45-2009/issue-2/vol45_no2_1.pdf Cours d'A...
Unveil A Sophomore's Dream
Просмотров 1,6 тыс.5 месяцев назад
Let's solve a limit question, a derivative question and an integral question related to x^x. One of them has a beautiful name: Sophomore's dream. 0:00 Intro 0:12 Limit of x!/x^x 0:56 Derivative of x^x 1:30 Integral: Sophomore's Dream (Bernoulli Integral)
Pi's Irrationality from Basic Calculus
Просмотров 11 тыс.5 месяцев назад
Original proof by Ivan Niven: A Simple Proof that π is Irrational, Ivan Niven, Bulletin of the American Mathematical Society, 53 (1947), p. 509. 0:00 Introduction 0:29 Construct f(x) 3:28 Construct F(x) 6:12 Reflection of the Proof
Prove Cauchy Schwarz Inequality with Physics
Просмотров 1,4 тыс.5 месяцев назад
Prove Cauchy Schwarz Inequality with Physics
A Putnam Question Turned Pi Approximation
Просмотров 8595 месяцев назад
A Putnam Question Turned Pi Approximation
A Physics Pythagorean Theorem Proof
Просмотров 3,2 тыс.5 месяцев назад
A Physics Pythagorean Theorem Proof
A Limit That Creates Unity From The Void
Просмотров 5 тыс.5 месяцев назад
A Limit That Creates Unity From The Void
Understanding N-1 in the Sample Variance Formula
Просмотров 1,7 тыс.5 месяцев назад
Understanding N-1 in the Sample Variance Formula
Shape of an Imaginary Circle
Просмотров 94 тыс.6 месяцев назад
Shape of an Imaginary Circle
The Multiple Choice Paradox
Просмотров 65 тыс.6 месяцев назад
The Multiple Choice Paradox
Prove e is Irrational with High School Math
Просмотров 8 тыс.6 месяцев назад
Prove e is Irrational with High School Math
S-Tier Acrobatics Calculus That Physicists Do
Просмотров 205 тыс.6 месяцев назад
S-Tier Acrobatics Calculus That Physicists Do
The Mysterious Spiral of The Infinity Tetration
Просмотров 33 тыс.6 месяцев назад
The Mysterious Spiral of The Infinity Tetration
The Marvelous Leap From Factorial To The Gamma Function
Просмотров 21 тыс.6 месяцев назад
The Marvelous Leap From Factorial To The Gamma Function

Комментарии

  • @quocanhnguyen7275
    @quocanhnguyen7275 12 часов назад

    Hi, i think you went too fast from 9:51 to 10:47. I have no idea it was happening

  • @nazishahmad1337
    @nazishahmad1337 8 дней назад

    How do you make your videos ?

  • @moonwatcher2001
    @moonwatcher2001 9 дней назад

    Awesome ❤

  • @ericknutson8310
    @ericknutson8310 9 дней назад

    I’m trying to find any document that give rigorous boundaries and conditions that need to be met when using this technique and I can’t find anything. I learned this technique forever ago, I’ve shown it to some of my professors and they have never seen it before. Like does I(a,x) need to be continuous for all a(-infty to infty) and x on the interval of integration? Like what structure is needed to ensure this technique works.

    • @satupapan
      @satupapan 9 дней назад

      see e.g. en.wikipedia.org/wiki/Leibniz_integral_rule

  • @MrAman47
    @MrAman47 10 дней назад

    Man it's impossible to hear you without cranking the volume up to max

  • @tox1678
    @tox1678 10 дней назад

    impossible to follow

    • @elorating
      @elorating 10 дней назад

      1:22

    • @literallydeadpool
      @literallydeadpool 9 дней назад

      the explanations are good but i can’t wrap my head around how they chose where to insert the *t* variable

    • @chonchjohnch
      @chonchjohnch 9 дней назад

      @@literallydeadpoolyou just need to have the multiplied function evaluate to 1 for t=some value What this technique does is sort of elevate the integral to another dimension in terms of parameters, then navigate through

  • @joeeeee8738
    @joeeeee8738 10 дней назад

    Great video but you don't actually state how the technique works at the beginning, you just show how to use it

  • @MikeEigenstein
    @MikeEigenstein 11 дней назад

    Beautiful video. Thank you!

  •  11 дней назад

    from Morocco thank you for this clear complete proofs

  • @douglasstrother6584
    @douglasstrother6584 11 дней назад

    That's a great photo at the end!

  • @ron-math
    @ron-math 11 дней назад

    To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/Ron . You’ll also get 20% off an annual premium subscription.

  • @SaiPrasanthNaidu-mz2to
    @SaiPrasanthNaidu-mz2to 14 дней назад

    That e^x taking common moment 🤯🤯🤯🤯🤯

  • @dimastus
    @dimastus 15 дней назад

    peak math content

  • @dang-x3n0t1ct
    @dang-x3n0t1ct Месяц назад

    is this high school level?

  • @UzziWallendorf
    @UzziWallendorf Месяц назад

    F(×)=b->f'(×)->a f"(×)->c

  • @UzziWallendorf
    @UzziWallendorf Месяц назад

    F(×)->b f'(×)->a f"(×)->c

  • @agabe_8989
    @agabe_8989 Месяц назад

    Yummy

  • @ABeCas_Wizard
    @ABeCas_Wizard Месяц назад

    Hello Ron! I just posted a video that includes a solution to 0^0. Would you have a moment to check it out??

    • @ron-math
      @ron-math 13 дней назад

      Hi! Is it this one: ruclips.net/video/tUZ_6HwInvU/видео.html

  • @yimphockany808
    @yimphockany808 Месяц назад

    He’s going to be the next Brithemathguy

  • @jellymath
    @jellymath Месяц назад

    This function is cursed, don't use it

  • @nadyanabahi8259
    @nadyanabahi8259 Месяц назад

    video about the backdoor? and the statistics

  • @vkessel
    @vkessel 2 месяца назад

    Lots of great knowledge here. Thank you. But please work on the flow and explanations. Some things are wrong, some information doesn't stay on the screen long enough, some important things are assumed and not explained, and some step-by-step equations would benefit from not using that distracting deformation transition animation. Like, let me see the before and after equation of each transformation step instead of hiding the last step. Constantly pausing and rewinding to fully understand 100% of the content turned this from 30min to 1h. Thanks again.

  • @korawichbikedashcam6293
    @korawichbikedashcam6293 2 месяца назад

    I just can't stand a problem like with black and white diagram 😅

  • @davidwright5719
    @davidwright5719 2 месяца назад

    I’m a physicist and this is more fast and loose than even I can stomach.

  • @LunizIsGlacey
    @LunizIsGlacey 2 месяца назад

    Awesome video!!

  • @benjaminchristian6027
    @benjaminchristian6027 2 месяца назад

    😭

  • @afmikasenpai
    @afmikasenpai 2 месяца назад

    I am actually very interested in how we can play around with operators like that, do you guys know any good resources that makes use of operator acrobatics with proofs?

  • @lol-ho2kj
    @lol-ho2kj 2 месяца назад

    ITS A INFINTED DOT ON STRIAGHT SO LINE

  • @Okkk517
    @Okkk517 2 месяца назад

    This is an interesting derivation of Cauchy`s Schwarz inequality. However, an alternative derivation is to use vector identities such as A*B=|A|*|B|*cos(θ). What is cos(θ) in higher dimensions?!

  • @gingerderidder8665
    @gingerderidder8665 2 месяца назад

    Please make more graph theory videos. The production value on this video matches 3B1B. Great stuff!

  • @vamrule
    @vamrule 2 месяца назад

    Where's the +c

  • @gdmathguy
    @gdmathguy 2 месяца назад

    great, now do a visual proof for all 1/n such that it sums to 1/(n-1)

  • @AZALI00013
    @AZALI00013 2 месяца назад

    my eyes

  • @aspalt8
    @aspalt8 2 месяца назад

    Excuse me wtf

  • @jacksonherron2889
    @jacksonherron2889 2 месяца назад

    Thanks for the educational video!! :)