I derive the celebrated Kirchhoff Formula, which gives the solution of the wave equation in 3 dimension, enjoy! Euler-Poisson-Darboux Equation: https://youtu.be/lIdrncWaZPY Partial Differential Equations playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCXfuXUAt9dT1Gjy_GK89OH Su
From playlist Partial Differential Equations
Quintic Equation From Chebyshev Polynomial
Quintic Equation From Chebyshev Polynomial. We will see an introduction to Chebyshev Polynomial, which is a polynomial in terms of cosine. And then we will use this polynomial to create a solvable quintic equation. This kind of polynomial equation from trigonometric identities is very clas
From playlist Trigonometry, but for fun!
The present status of the DRESDYN project by Frank Stefani
GdR Dynamo 2015 PROGRAM LINK: www.icts.res.in/program/GDR2015 DATES : 01 Jun, 2015 - 12 Jun, 2015 VENUE : ICTS-TIFR, IISc campus, Bangalore DESCRIPTION : Dynamo or self-induced magnetic field generation in nature and laboratory is a very important area of research in physics, astrop
From playlist GdR Dynamo 2015
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
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
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
Lucas Mason-Brown - Arthur's Conjectures and the Orbit Method for Real Reductive Groups
The most fundamental unsolved problem in the representation theory of Lie groups is the Problem of the Unitary Dual: given a reductive Lie group G, this problem asks for a parameterization of the set of irreducible unitary G-representations. There are two big "philosophies" for approaching
From playlist 2022 Summer School on the Langlands program
On the Mod p Cohomology for GL_2 (I) by Haoran Wang
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
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
Friedrich Wagemann: Deformation quantization of Leibniz algebras
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebra
Ex: Solve a Bernoulli Differential Equation Using Separation of Variables
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Ex: Solve a Bernoulli Differential Equation Using an Integrating Factor
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
A classic trig identity! Featuring Chebyshev polynomials.
We derive a classic trigonometric identity. We make use of Chebyshev polynomials during our calculations. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/math
From playlist Trigonometric Identities
Emmy Noether: breathtaking mathematics - Georgia Benkart
Celebrating Emmy Noether Topic: Emmy Noether: breathtaking mathematics Speaker: Georgia Benkart Affiliation: University of Wisconsin-Madison Date: Friday, May 6 By the mid 1920s, Emmy Noether had made fundamental contributions to commutative algebra and to the theory of invariants.
From playlist Celebrating Emmy Noether
Coadjoint Orbits and Liouville Bulk Dual by Gautam Mandal
11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but
From playlist String Theory: Past and Present
Symplectic Structures and Dynamics on Vortex Membranes - Boris Khesin
Boris Khesin University of Toronto; Member, School of Mathematics, Institute for Advanced Study January 25, 2012 We present a Hamiltonian framework for higher-dimensional vortex filaments (or membranes) and vortex sheets as singular 2-forms with support of codimensions 2 and 1, respectivel
From playlist Mathematics
Code Panoptic Image Segmentation w/ Vision Transformer & Mask2Former - A PyTorch tutorial
Key innovation is to have a Transformer decoder come up with a set of binary masks and classes in a parallel way. This was then improved in the MaskFormer paper, which showed that the "binary mask classification" paradigm also works really well for semantic segmentation. Mask2Former exten
From playlist VISION Transformers- new transformer based technology in 2023
Recollections of I.M. Gelfand [2013]
RECOLLECTIONS Thursday, August 29 3:30PM – 5:45PM Gelfand Recollections session (room 34-101; to be continued at the conference banquet) Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 http://math.mit.edu/conferences/Gelf
From playlist Mathematics
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations