Numerical analysis | Types of functions | Linear algebra | Numerical linear algebra | Fourier analysis
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors. In numerical analysis and approximation theory, basis functions are also called blending functions, because of their use in interpolation: In this application, a mixture of the basis functions provides an interpolating function (with the "blend" depending on the evaluation of the basis functions at the data points). (Wikipedia).
2.11117 What is a rational function Functions
http://www.freemathvideos.com presents: Learn math your way. My mission is to provide quality math education to everyone that is willing to receive it. This video is only a portion of a video course I have created as a math teacher. Please visit my website to join my mailing list, downloa
From playlist Rational Functions - Understanding
(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
From playlist Further Work with Functions
In this video we cover some rational function fundamentals, including asymptotes and interecepts.
From playlist Polynomial Functions
Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.
From playlist Determining Inverse 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
Define a linear function. Determine if a linear function is increasing or decreasing. Interpret linear function models. Determine linear functions. Site: http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
In this video, I talk about the definition of a function and properties of functions. I also go over some examples of how to determine whether a relation is a function or not and how to evaluate functions. Enjoy! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://
From playlist College Algebra
Julien Toulouse - Basis-set correction based on density-functional theory - IPAM at UCLA
Recorded 02 May 2022. Julien Toulouse of Sorbonne University, LCT, presents "Basis-set correction based on density-functional theory: Rigorous framework for a one-dimensional model" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Abstract: We reexamine the
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
28. Modern Electronic Structure Theory: Basis Sets
MIT 5.61 Physical Chemistry, Fall 2017 Instructor: Professor Troy Van Voorhis View the complete course: https://ocw.mit.edu/5-61F17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62RsEHXe48Imi9-87FzQaJg Guest lecturer, Prof. Troy Van Voorhis, explores electronic struct
From playlist MIT 5.61 Physical Chemistry, Fall 2017
Lecture 05-Jack Simons Electronic Structure Theory- Basis sets
Basis set notations; complete-basis extrapolation of the Hartree-Fock and correlation energies. (1)Jack Simons Electronic Structure Theory- Session 1- Born-Oppenheimer approximation http://www.youtube.com/watch?v=Z5cq7JpsG8I (2)Jack Simons Electronic Structure Theory- Session 2- Hartr
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
What is General Relativity? Lesson 43: Holonomic and Non-Holonomic Basis
What is General Relativity? Lesson 43: Holonomic and Non-Holonomic Basis Since we have already discussed coordinate systems, basis vectors, and commutator, now is as good a time as any to talk about how 4 arbitrary vector fields may or may not be tangent vectors to coordinate curves. That
From playlist What is General Relativity?
Lecture 04-Jack Simons Electronic Structure Theory- Linear combinations of atomic orbitals
The Hartree-Fock molecular orbitals; LCAO-MO expansion; Hartree-Fock equations in matrix form; one- and two-electron integrals; the iterative SCF process; scaling with basis set size; how virtual orbitals change with basis set; core, valence, polarization, and diffuse basis functions; Slat
From playlist U of Utah: Jack Simons' Electronic Structure Theory course
In this video, I explain function space and how to change the basis vectors we use to describe function. This lead us to a different understanding of Taylor series, Fourier series and most series. I also explain the Heisenberg uncertainty principle using function space. Additionnal video
From playlist Summer of Math Exposition Youtube Videos
Emmanuel Giner - Curing basis set convergence of WFT w/ DFT: overview of framework and some results
Recorded 03 May 2022. Emmanuel Giner of the Centre National de la Recherche Scientifique presents "Curing basis set convergence of WFT with DFT: overview of framework and some results" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Learn more online at: ht
From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics
MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 View the complete course: http://ocw.mit.edu/10-34F15 Instructor: William Green Students continued to learn more methods to solve ordinary differential equation with boundary value problems. License: Creative Commons
From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
some2: transforming normals part 3
Some2 submission version Part1 intro: https://youtu.be/BWr0gQoyUEM Part2: concepts and intuitions: https://youtu.be/QLPcBi47Wzk Part 3: this video This is for Some2. #SoME2 #3b1b All the manim source code will be published soon. License: CC BY-NC-SA 2.0
From playlist Summer of Math Exposition 2 videos
Graphing and finding the inverse of a rational function
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the
From playlist Find the Inverse of a Function
Lecture 24 (CEM) -- Introduction to Variational Methods
This lecture introduces to the student to variational methods including finite element method, method of moments, boundary element method, and spectral domain method. It describes the Galerkin method for transforming a linear equation into matrix form as well as populating the global matr
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering