Mathematical theorems

Vincent's theorem

In mathematics, Vincent's theorem—named after —is a theorem that isolates the real roots of polynomials with rational coefficients. Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them. (Wikipedia).

Vincent's theorem
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Calculus 5.3 The Fundamental Theorem of Calculus

My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart

From playlist Calculus

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Multivariable Calculus | The Squeeze Theorem

We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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How to apply Rolle's Theorem

This video focuses on how to apply Rolle's Theorem to a function on a closed interval. The concept of derivatives and Chain Rule are covered in this video as well. Your feedback and requests are encouraged and appreciated. Thank you for watching and please LIKE/SUBSCRIBE!

From playlist Calculus 1

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Bayes' Theorem - The Simplest Case

►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM ►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw ►FULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS Bayes' Theorem is an inc

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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The Schwarz Lemma -- Complex Analysis

Part 1 -- The Maximum Principle: https://youtu.be/T_Msrljdtm4 Part 3 -- Liouville's theorem: https://www.youtube.com/watch?v=fLnRDhhzWKQ In today's video, we want to take a look at the Schwarz lemma — this is a monumental result in the subject of one complex variable, and has lead to many

From playlist Complex Analysis

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What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

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Christelle Vincent, Exploring angle rank using the LMFDB

VaNTAGe Seminar, February 15, 2022 License: CC-NC-BY-SA Links to some of the papers mentioned in the talk: Dupuy, Kedlaya, Roe, Vincent: https://arxiv.org/abs/2003.05380 Dupuy, Kedlaya, Zureick-Brown: https://arxiv.org/abs/2112.02455 Zarhin 1979: https://link.springer.com/article/10.100

From playlist Curves and abelian varieties over finite fields

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Prasad's volume formula and its applications by Mikhail Belolipetsky

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

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Collin Guillarmou: resolution of Liouville CFT: Segal axioms and bootstrap

HYBRID EVENT Recorded during the meeting "Random Geometry" the January 20, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics

From playlist Probability and Statistics

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Nathalie Wach - Le corps des normes de certaines extensions infinies de corps locaux

La théorie du corps des normes constitue la thèse que J-P. Wintenberger a effectuée sous la direction de J-M. Fontaine. Nous présenterons l'article de J-P. Wintenberger, publié aux Annales Scientifiques de l'ENS en 1983. Nous construirons le corps des normes et verrons en quoi cette théori

From playlist The Paris-London Number Theory Seminar, Oct. 2019

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Vincent Bagayoko, École Polytechnique

February 26, Vincent Bagayoko, École Polytechnique Three flavors of H-fields

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Bourbaki - 16/01/2016 - 4/4 - Benoît STROH

Benoît STROH La correspondance de Langlands sur les corps de fonctions, d’après V. Lafforgue La moitié de la correspondance de Langlands sur les corps de fonctions prédit qu’à toute représentation automorphe des points adéliques d’un groupe G on peut associer un système local sur un ouvert

From playlist Bourbaki - 16 janvier 2016

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College Level Math - Tips for how to do well!

0:00 - 1:17: Introduction 1:17- 2:34: Tip#1 - Form a 2-4 person study group. 2:34 - 4:01: Tip#2 - Practice as many problems as time will allow. 4:01 - 5:12: Tip#3 - Focus on understanding the concepts behind theorems and equations. 5:12 - 7:32 - Tip#4 - Go to the professor's office hours w

From playlist lifechats

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Estimate π with pasta? Buffon's noodle problem. Why is pi here?

Why can we estimate pi by throwing pasta onto a square grid? Why is pi here? Solution to Buffon's needle by generalizing to Buffon's noodle using only probability theory and no calculus. More links below Links to my follow up videos: * Computer simulations in Python/Google collab: https:/

From playlist Summer of Math Exposition Youtube Videos

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Find the max and min from a quadratic on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Representations of p-adic reductive groups by Tasho Kaletha

PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will

From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)

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CTNT 2018 - "Function Field Arithmetic" (Lecture 2) by Christelle Vincent

This is lecture 2 of a mini-course on "Function Field Arithmetic", taught by Christelle Vincent (UVM), during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2018 - "Function Field Arithmetic" by Christelle Vincent

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Taylor Theorem Proof

In this video, I give a very neat and elegant proof of Taylor’s theorem, just to show you how neat math can be! It is simply based on repeated applications of the fundamental theorem of calculus. Enjoy! Note: The thumbnail is taken from https://i.redd.it/kv7lk5kn31e01.jpg

From playlist Calculus

Related pages

Exponential time | Alexander Ostrowski | Maple (software) | Vieta's formulas | Descartes' rule of signs | Budan's theorem | Mediant (mathematics) | Bijection | Möbius transformation | SageMath | Sturm's theorem | Xcas | Bisection method | Computational complexity theory | Vincent's theorem | SymPy | Newton's method | Computer algebra system | Recursion