Combinatorics | Factorial and binomial topics
In mathematics, Bhargava's factorial function, or simply Bhargava factorial, is a certain generalization of the factorial function developed by the Fields Medal winning mathematician Manjul Bhargava as part of his thesis in Harvard University in 1996. The Bhargava factorial has the property that many number-theoretic results involving the ordinary factorials remain true even when the factorials are replaced by the Bhargava factorials. Using an arbitrary infinite subset S of the set of integers, Bhargava associated a positive integer with every positive integer k, which he denoted by k !S, with the property that if one takes S = itself, then the integer associated with k, that is k ! , would turn out to be the ordinary factorial of k. (Wikipedia).
Yes, there is a hyperfactorial as well. Q. What is hyperfactorial of 0? 0 factorial, https://youtu.be/W2sIvBq2iAk subfactorial of 0, https://youtu.be/F3S25jjvaiI ⭐️Please subscribe for more math content! ☀️support bprp on Patreon: https://www.patreon.com/blackpenredpen Guess what my
From playlist Factorial Family, #MathForFun
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are simplified by canceling out common integer products or
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Factoring a polynomial to the fourth power using factoring to second power
👉 In this polynomial, I will show you how to factor different types of polynomials. Such as polynomials with two, three, and four terms in addition to polynomials to the second third, fourth, fifth, and sixth power. 👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclo
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Jeffrey Lagarias: Splitting measures on polynomials and the field with one element
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Kiran Kedlaya: Bhargava's results on pp-adic analytic functions [2016]
Bhargava's results on pp-adic analytic functions Speaker: Kiran Kedlaya, University of California, San Diego Date and Time: Tuesday, November 1, 2016 - 2:00pm to 3:00pm Location: Fields Institute, Room 230 Abstract: My unique joint paper with Bhargava is a description of the continuous
From playlist Mathematics
Modeling with Trigonometric Functions! (Formative Assessment w/Feedback)
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Most odd degree hyperelliptic curves have only one rational point - Bjorn Poonen
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From playlist Mathematics
Master Graphing Exponential Equations with reflections determine domain range
Subscribe! http://www.freemathvideos.com Welcome, ladies and gentlemen. So what I'd like to do is show you how to graph exponential equations. And we're going to graph exponential equations that are in the form of y equals b to the x, which are the first three, and then also are down here
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In this video I remind you of the derivatives of a few transcendental functions such as exponent x and the trigonometric functions.
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Ila Varma, Counting quartic number fields and predicting asymptotics
VaNTAGe Seminar, June 14, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Davenport-Heilbronn I: https://doi.org/10.1112/blms/1.3.345 Davenport-Heilbronn II: http://www.math.toronto.edu/~ila/DH2.pdf Wright: https://doi.org/10.1112/plms/s3-58.1.17 Baily: http
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What is the Birch and Swinnerton-Dyer Conjecture? - Manjul Bhargava [2016]
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This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
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Did you know that you can define the factorial A! of a matrix A? If not, then definitely check out this video! Functional Analysis Overview: https://youtu.be/pTUo1g3kYMw Linear Algebra Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCM0HdpHbhWcKdM-oVXPPRI Eigenvalues Playlist
From playlist Eigenvalues