Mathematical problems | Quadratic forms | Field (mathematics)

Hurwitz problem

In mathematics, the Hurwitz problem (named after Adolf Hurwitz) is the problem of finding multiplicative relations between quadratic forms which generalise those known to exist between sums of squares in certain numbers of variables. (Wikipedia).

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Separation of variables and the Schrodinger equation

A brief explanation of separation of variables, application to the time-dependent Schrodinger equation, and the solution to the time part. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/

From playlist Mathematical Physics II - Youtube

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C36 Example problem solving a Cauchy Euler equation

An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.

From playlist Differential Equations

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B04 Example problem of simple harmonic oscillation

Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.

From playlist Physics ONE

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C43 Example problem solving a Cauchy Euler equation

Another Cauchy-Euler equation example problem solved.

From playlist Differential Equations

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C49 Example problem solving a system of linear DEs Part 1

Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.

From playlist Differential Equations

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David Roberts, Hurwitz Belyi maps

VaNTAGe seminar, October 12, 2021 License: CC-BY-NC-SA

From playlist Belyi maps and Hurwitz spaces

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Solving an equation with variables on both side and one solution

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist Solve Multi-Step Equations......Help!

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B06 Example problem with separable variables

Solving a differential equation by separating the variables.

From playlist Differential Equations

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An asymptotic for the growth of Markoff-Hurwitz tuples - Ryan Ronan

Special Seminar Topic: An asymptotic for the growth of Markoff-Hurwitz tuples Speaker: Ryan Ronan Affiliation: Baruch College, The City University of New York Date: December 8, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 2/5

The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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Maxim Kazarian - 3/3 Mathematical Physics of Hurwitz numbers

Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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Maxim Kazarian - 2/3 Mathematical Physics of Hurwitz numbers

Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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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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David Zureick-Brown, Moduli spaces and arithmetic statistics

VaNTAGe seminar on March 3, 2020 License: CC-BY-NC-SA Closed captions provided by Andrew Sutherland.

From playlist Class groups of number fields

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The Routh-Hurwitz Stability Criterion

In this video we explore the Routh Hurwitz Stability Criterion and investigate how it can be applied to control systems engineering. The Routh Hurwitz Stability Criterion can be used to determine how many roots of a polynomial are in the right half plane. Topics and time stamps: 0:00 –

From playlist Control Theory

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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Algebraic geometry 45: Hurwitz curves

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It discusses Hurwitz curves and sketches a proof of Hurwitz's bound for the symmetry group of a complex curve.

From playlist Algebraic geometry I: Varieties

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Designing a PID Controller Using the Ziegler-Nichols Method

In this video we discuss how to use the Ziegler-Nichols method to choose PID controller gains. In addition to discussing the method and providing a Matlab implementation of the procedure, we demonstrate the effectiveness of the resulting controller on a real system. Topics and time stamp

From playlist Control Theory

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Computational Aspects in the Braid Group and Applications to Cryptography - Mina Teicher

Mina Teicher Bar-Ilan University; Member, School of Mathematics March 12, 2012 The braid group on n strands may be viewed as an infinite analog of the symmetric group on n elements with additional topological phenomena. It appears in several areas of mathematics, physics and computer scien

From playlist Mathematics

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Solving a multi-step equation by multiplying by the denominator

👉 Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s

From playlist How to Solve Multi Step Equations with Variables on Both Sides

Related pages

Quaternion | Degen's eight-square identity | Quadratic form | Euler's four-square identity | Complex number | Characteristic (algebra) | Octonion | Hurwitz's theorem (normed division algebras) | Brahmagupta–Fibonacci identity | Composition algebra