Fourier Series Coefficients (where did they come from?)
Learn how to derive the Fourier series coefficients formulas. Remember, a Fourier series is a series representation of a function with sin(nx) and cos(nx) as its building blocks. Meanwhile, a Taylor series is a series representation of a function with x^n as its building blocks. These are
From playlist Fourier Series
In this video I derive three series representations for Legendre Polynomials. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F
From playlist Fourier
Classify a polynomial then determining if it is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Determining if a equation is a polynomial or not
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Polynomial Roots and Coefficients (1 of 5: Relationship between roots and coefficients of cubics)
More resources available at www.misterwootube.com
From playlist Further Polynomials
Determining if a function is a polynomial or not then determine degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche
November 18, Pooneh Afsharijoo, Institut de Mathématiques de Jussieu - Paris Rive Gauche Two new members of Rogers-Ramanujan identities
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
Learn how to identify if a function is a polynomial and identify the degree and LC
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?
Fourier series + Fourier's theorem
Free ebook http://tinyurl.com/EngMathYT A basic lecture on how to calculate Fourier series and a discussion of Fourier's theorem, which gives conditions under which a Fourier series will converge to a given function.
From playlist Engineering Mathematics
"New Paradigms in Invariant Theory" - Roger Howe, Yale University [2011]
HKUST Institute for Advanced Study Distinguished Lecture New Paradigms in Invariant Theory Speaker: Prof Roger Howe, Yale University Date: 13/6/2011 Video taken from: http://video.ust.hk/Watch.aspx?Video=6A41D5F6B1A790DC
From playlist Mathematics
Claire Voisin - Schiffer variations of hypersurfaces and the generic Torelli theorem - WAGON
The generic Torelli theorem for hypersurfaces of degree d and dimension n-1 was proved by Donagi in the 90's. It works under the assumption that d is at least 7 and d does not divide n+1, which in particular excludes the Calabi-Yau case in all dimensions. We prove that the generic Torelli
From playlist WAGON
Points and Flags - Sir Michael Atiyah [2011]
Name: Michael Atiyah Event: Program: Complex Geometry Event URL: view webpage Title: Points and Flags Date: 2011-11-10 @4:00 PM Location: 103 Abstract: Abstract: I will describe and study a natural map from the configuration space of n distinct ordered points in Euclidean 3-space to the f
From playlist Mathematics
Live CEOing Ep 495: Design Review of Spatial Statistics
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Partitions, Dyson, and Ramanujan - George Andrews
George Andrews The Pennsylvania State University September 27, 2013 More videos on http://video.ias.edu
From playlist Dreams of Earth and Sky
Chow Rings, Decomposition of the Diagonal and the Topology of Families - Claire Voisin
Claire Voisin CNRS, Institut de Mathematiques de Jussieu, Paris November 4, 2011 Lecture 4: Integral Coefficients; Application to Birational Invariants For more videos, visit http://video.ias.edu
From playlist Mathematics
A problem in Elementary Geometry - Michael Atiyah [2011]
Name: Michael Atiyah Event: SCGP Weekly Talk Title: A problem in Elementary Euclidean Geometry Date: 2011-10-25 @1:00 PM Location: 103 Abstract: Over a decade ago I stumbled across a new and apparently very elementary problem in Euclidean Geometry involving n distinct points in 3-space. E
From playlist Mathematics
Fourier Series (for PDEs) w/ Fourier Polynomials (Orthogonal Projections in Inner Product Spaces)
Fourier Series (for Partial Differential Equations) are Constructed with Fourier Polynomials, which are Orthogonal Projections in Inner Product Spaces (in this case, the Function Space of Real-Valued Continuous Functions C[-pi,pi] with the inner product of f and g defined to be the integra
From playlist Fourier
Three things about polynomials - Ruixiang Zhang
Analysis & Mathematical Physics Topic: Three things about polynomials Speaker: Ruixiang Zhang Affiliation: University of California Date: December 07, 2022 I will talk about three interesting ingredients that goes into the results on H\"{o}rmander type operators I presented at Princeton
From playlist Mathematics
Live CEOing Ep 396: Calculus & Algebra Features Design Review for Wolfram Language
In this episode of Live CEOing, Stephen Wolfram reviews the design of upcoming algebra and calculus functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch chan
From playlist Behind the Scenes in Real-Life Software Design
Is it a polynomial with two variables
👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio
From playlist Is it a polynomial or not?