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
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
How is the quadratic formula derived
👉 Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the coefficient of the quadratic term (x^2), b is the coefficient
From playlist Solve by Quadratic Formula | Learn About
David Zywina, Computing Sato-Tate and monodromy groups.
VaNTAGe seminar on May 5, 2020. License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
The Weyl algebra and the Heisenberg Lie algebra
In this video we give a simple teaser into the world of operator algebras. In particular, we talk about the Weyl algebra and compute some expressions that fulfill the property which defines the Heisenberg Lie algebra http://math.uchicago.edu/~may/REU2012/REUPapers/Lingle.pdf https://en.w
From playlist Algebra
This video given Euler's identity, reviews how to derive Euler's formula using known power series, and then verifies Euler's identity with Euler's formula http://mathispower4u.com
From playlist Mathematics General Interest
Arthur's trace formula and distribution of Hecke eigenvalues for GL(n) - Jasmin Matz
Jasmin Matz Member, School of Mathematics February 23, 2015 A classical problem in the theory of automorphic forms is to count the number of Laplace eigenfunctions on the quotient of the upper half plane by a lattice LL. For LL a congruence subgroup in SL(2,ℤ)SL(2,Z) the Weyl law was prov
From playlist Mathematics
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
The Weyl law for algebraic tori - Ian Petrow
Joint IAS/Princeton University Number Theory Seminar Topic: The Weyl law for algebraic tori Speaker: Ian Petrow Affiliation: ETH Zurich Date: March 13, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Semi-Abelian Gauge Theories, Non-Invertible Symmetry and String Tensions... by Mithat Unsal
PROGRAM Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (ONLINE) ORGANIZERS: David Berenstein (UCSB), Simon Catterall (Syracuse University), Masanori Hanada (University of Surrey), Anosh Joseph (IISER, Mohali), Jun Nishimura (KEK Japan), David Sc
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography (Online)
From Weyl modules to simple modules in many small steps - George Lusztig
Workshop on Representation Theory and Geometry Topic: From Weyl modules to simple modules in many small steps Speaker: George Lusztig Affiliation: Massachusetts Institute of Technology Date: March 30, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Sub-Weyl Subconvexity and Short p-Adic Exponential Sums - Djordje Milicevic
Djordje Milicevic April 17, 2012 One of the principal questions about L-functions is the size of their critical values. In this talk, we will present a new subconvexity bound for the central value of a Dirichlet L-function of a character to a prime power modulus, which breaks a long-standi
From playlist Mathematics
The Magnetism of some Topological Semi-metals by Collin Broholm
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin fĂĽr Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Using a Matrix Equation to Solve a System of Equations
This video shows how to solve a system of equations by using a matrix equation. The graphing calculator is integrated into the lesson. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/
From playlist Matrix Equations
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
History of representation theory in quantum mechanics
In this video I speak about the early history of group representation theory in quantum mechanics using the rather recent history book by Schneider on van der Waerden, called "Zwischen Zwei Disziplinen". Other names dropped are Frobenius, Burnside, Schur, Killing, Study, Cartan, Weyl, Brau
From playlist Physics
The discriminant and finding the solutions using quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | x^2+bx+c
Factor using the quadratic formula finding real irrational roots
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by
From playlist Solve by Quadratic Formula | ax^2+bx+c
Yang Shi: Normalizer theory of Coxeter groups and discrete integrable systems
Abstract: Formulation of the Painleve equations and their generalisations as birational representations of affine Weyl groups provides us with an elegant and efficient way to study these highly transcendental, nonlinear equations. In particular, it is well-known that discrete evolutions of
From playlist Integrable Systems 9th Workshop