Finding the sum or an arithmetic series using summation notation
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Graeffe's Root-Squaring Method (also called Graeffe-Dandelin-Lobachevskiĭ or Dandelin–Lobachesky–Graeffe method) for finding roots of polynomials. The method solves for all of the roots of a polynomial by only using the coefficients and does not require derivatives nor an interation funct
From playlist Root Finding
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Using sum and difference formula to find the exact value with cosine
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the Pythagoras theorem to identify the angles and obtain all
From playlist Sum and Difference Formulas
Jean Pierre Labesse - L’héritage de Roger Godement
J’évoquerai tout d’abord la carrière scientifique de Roger Godement, ses goûts et son influence via ses exposés, ses cours et ses élèves. Dans une seconde partie j’exposerai l’état du travail avec Bertrand Lemaire sur la formule des traces en caractéristique positive. Ce se
From playlist Reductive groups and automorphic forms. Dedicated to the French school of automorphic forms and in memory of Roger Godement.
Marc Levine: Chow Witt groups, ramification and quadratic forms
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: Replacing the Chow groups with the Barge-Morel-Fasel Chow-Witt groups enables refining many classical constructions involving algebraic cycles
From playlist Workshop: "Periods and Regulators"
Euler's Formula for the Quaternions
In this video, we will derive Euler's formula using a quaternion power, instead of a complex power, which will allow us to calculate quaternion exponentials such as e^(i+j+k). If you like quaternions, this is a pretty neat formula and a simple generalization of Euler's formula for complex
From playlist Math
Entretien avec Luc Illusie, mené par Fabrice Orgogozo
Un entretien avec Luc Illusie, mené par Fabrice Orgogozo à l'IHÉS, le 12 juin 2021. Musique composée par Robert Schumann et interprétée par Paavali Jumppanen, utilisée sous licence CC BY-NC-ND 3.0. Une version de cette vidéo avec des sous-titres en anglais est disponible à l'adresse suiv
From playlist Les entretiens de l'IHES
An interview with Luc Illusie, conducted by Fabrice Orgogozo
An interview with Luc Illusie, conducted by Fabrice Orgogozo at the IHES on June 12, 2021. Subtitles: traductions [dot] mathematiques [at] gmail.com Music: Composed by Robert Schumann. Performed by Paavali Jumppanen and used under a CC BY-NC-ND 3.0 licence. A version of this video withou
From playlist Les entretiens de l'IHES
Given two terms find the sum of your arithmetic series
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Anne-Sandrine Paumier - Quel(s) lieu(x) pour quelle(s) mathématique(s) ?
Quel(s) lieu(x) pour quelle(s) mathématique(s) ? Penser et construire l’Institut de Hautes Études Scientifiques Conférence donnée devant L'Association des Amis de l'IHES à l'IHES le 4 mai 2017. L’IHES est créé officiellement le 27 juin 1958, dans le bureau de Joseph Pérès, doyen de la Fa
From playlist Évenements grand public
The Frobenius Problem - Proof of the Formula for the Frobenius Number for Two Numbers
Describes how to derive the general formula for the Frobenius Number of two Numbers. Proves why Frob(m,n) = mn - m - n.
From playlist Proofs
In this video, we explore the "pattern" to prime numbers. I go over the Euler product formula, the prime number theorem and the connection between the Riemann zeta function and primes. Here's a video on a similar topic by Numberphile if you're interested: https://youtu.be/uvMGZb0Suyc The
From playlist Other Math Videos
Huawei Young Talents Programme - Laurent Lafforgue
The online ceremony celebrating the official launch of the Huawei Young Talents Program at the Institut des Hautes Etudes Scientifiques was held on 6 November 2020. This program aims to support the work of talented researchers in mathematics and theoretical physics at the beginning of thei
From playlist Huawei Young Talents Program - November 2020
Céline Pessis - L'engagement d'Alexandre Grothendieck durant la première moitié des années 1970
Militant singulier ou porte-parole ? Retour sur l'engagement d'Alexandre Grothendieck durant la première moitié des années 1970 Le 27 janvier 1972, au Centre Européen de Recherches Nucléaires (CERN), citadelle d'une recherche de pointe, des centaines de technicien.
From playlist SĂ©minaire Grothendieck 30 mars 2016
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Weil conjectures 5: Lefschetz trace formula
This talk explains the relation between the Lefschetz fixed point formula and the Weil conjectures. More precisely, the zeta function of a variety of a finite field can be written in terms of an action of the Frobenius group on the cohomology groups of the variety. The main problem is then
From playlist Algebraic geometry: extra topics
Newton's Method for finding roots of functions including finding a square root example and discussion of the order (newton's method is also known as Newton-Raphson method). Small correction around 2:26 the sign is incorrect it should be x_(n+1) = (1/2)(x_n + a/x_n). A video covering this m
From playlist Root Finding
Marc Levine: Refined enumerative geometry (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"