In physical science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμλ, Qμλ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications. For these polynomial solutions, see the separate Wikipedia articles. (Wikipedia).
Sigmoid functions for population growth and A.I.
Some elaborations on sigmoid functions. https://en.wikipedia.org/wiki/Sigmoid_function https://www.learnopencv.com/understanding-activation-functions-in-deep-learning/ If you have any questions of want to contribute to code or videos, feel free to write me a message on youtube or get my co
From playlist Analysis
(New Version Available) Inverse Functions
New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/
From playlist Exponential and Logarithmic Expressions and Equations
Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
From playlist Transcendental Functions
Functions of equations - IS IT A FUNCTION
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
This Video will explain to draw linier function by geogebra.
From playlist CALCULUS
From playlist Functions as transformations
Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.
From playlist Determining Inverse Functions
Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
From playlist Transcendental Functions
[Lesson 25] QED Prerequisites Scattering 2
We follow the derivation of the associated Legendre polynomials using the reference "The Functions of Mathematical Physics" by Harry Hochstadt as our guide. The goal is to take ownership of these functions so we can confidently advance our understanding of the partial wave expansion of pla
From playlist QED- Prerequisite Topics
How To Use Legendre Polynomials In Python
Legendre Polynomial pop up quite a few times in your physics degree. In this video I show you how to write a python code to plot out any degree legendre polynomial!
From playlist Daily Uploads
An introduction to Legendre Polynomials and the Legendre-Fourier Series.
From playlist Mathematical Physics II Uploads
An example of expanding a function in a Legendre-Fourier Series.
From playlist Mathematical Physics II Uploads
Eigenfunctions of Angular Momentum Part 2
We examine the properties of the Associated Legendre Polynomials, and package them into Spherical Harmonics as the eigenfunctions of Angular Momentum.
From playlist Quantum Mechanics Uploads
QED Prerequisites-Scattering 8-PartialWaves!
This lesson covers the amazing topic of expanding plane waves into a superposition of partial waves. To do this we will deploy the asymptotic expansion of the spherical Bessel function that we derived in previous lessons AND learn a quick and easy way to get the asymptotic expansion of cer
From playlist QED- Prerequisite Topics
In this video I briefly introduce Legendre Polynomials via the Rodrigues formula. For more videos on this topic, visit: https://www.youtube.com/playlist?list=PL2uXHjNuf12bnpcGIOY2ZOsF-kl2Fh55F
From playlist Fourier
Introduction to Spherical Harmonics
Using separation of variables in spherical coordinates, we arrive at spherical harmonics.
From playlist Quantum Mechanics Uploads
Completeness and Orthogonality
A discussion of the properties of Completeness and Orthogonality of special functions, such as Legendre Polynomials and Bessel functions.
From playlist Mathematical Physics II Uploads
Determine if the equation represents a function
👉 Learn how to determine whether relations such as equations, graphs, ordered pairs, mapping and tables represent a function. A function is defined as a rule which assigns an input to a unique output. Hence, one major requirement of a function is that the function yields one and only one r
From playlist What is the Domain and Range of the Function
Advice for Research Maths | Properties of Legendre and Gegenbauer polynomials | Wild Egg Maths
To try to understand how to apply two dimensional maxel magic to the family of Legendre polynomials, let's look at some properties of these polynumbers, including differential equations, connections with Chebyshev polynomials, and how they arise from the geometry of the sphere and an assoc
From playlist Maxel inverses and orthogonal polynomials (non-Members)