Differential geometry

Bochner's formula

In mathematics, Bochner's formula is a statement relating harmonic functions on a Riemannian manifold to the Ricci curvature. The formula is named after the American mathematician Salomon Bochner. (Wikipedia).

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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

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Kyle Broder -- Recent Developments Concerning the Schwarz Lemma

A lecture I gave at the Beijing International Center for Mathematical Research geometric analysis seminar. The title being Recent Developments Concerning the Schwarz Lemma with applications to the Wu--Yau Theorem. This contains some recent results concerning the Bochner technique for the G

From playlist Research Lectures

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Gap and index estimates for Yang-Mills connections in 4-d - Matthew Gursky

Variational Methods in Geometry Seminar Topic: Gap and index estimates for Yang-Mills connections in 4-d Speaker: Matthew Gursky Affiliation: University of Notre Dame Date: March 19, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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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

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Describe and solve for the zeros 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

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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

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Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 4) by Dror Varolin

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

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Dror Varolin - Minicourse - Lecture 2

Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i

From playlist Maryland Analysis and Geometry Atelier

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Euler's formula: A cool proof

How to derive Euler's formula using differential equations! Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook A somewhat new proof for the famous formula of Euler. Here is the famous formula named after the mathematician Euler. It relates the exponential with cosin

From playlist Intro to Complex Numbers

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Bo'az Klartag - Convexity in High Dimensions IV

November 18, 2022 This is the fourth talk in the Minerva Mini-course of Bo'az Klartag, Weizmann Institute of Science and Princeton's Fall 2022 Minerva Distinguished Visitor We will discuss recent progress in the understanding of the isoperimetric problem for high-dimensional convex sets,

From playlist Minerva Mini Course - Bo'az Klartag

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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

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Davide Fermi - Domenico Monaco - Badreddine Benhellal - Léo Morin

* Magnetic perturbations of Aharonov-Bohm and 2-body anyonic Hamiltonians - Davide Fermi * (De)localized Wannier functions for quantum Hall systems - Domenico Monaco * Quantum Con inement induced by Dirac operators with anomalous magnetic - Badreddine Benhellal * Spectral Asymptotics for

From playlist Mathematics of Condensed Matter and Beyond (February 22-25, 2021)

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Modified Logarithmic Sobolev Inequalities: ... (Lecture 3) by Prasad Tetali

PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear

From playlist Advances in Applied Probability 2019

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Using the quadratic formula to find the zeros of a polynomial

👉 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

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How to solve a quadratic using 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 | ax^2+bx+c

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How to write a quadratic of it's factors 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

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Dror Varolin - Minicourse - Lecture 3

Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i

From playlist Maryland Analysis and Geometry Atelier

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Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 01) by Misha Verbitsky

20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially

From playlist Complex Geometry

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Learn to find the solutions of a quadratic by applying 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 | ax^2+bx+c

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Positive definite kernels on spheres by E K Narayanan

DISCUSSION MEETING SPHERE PACKING ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the

From playlist Sphere Packing - 2019

Related pages

Ricci curvature | Divergence theorem | Mathematics | Bochner identity | Laplace–Beltrami operator | Riemannian manifold | Gradient | Salomon Bochner | Weitzenböck identity | Hessian matrix