Taylor diagrams are mathematical diagrams designed to graphically indicate which of several approximate representations (or models) of a system, process, or phenomenon is most realistic. This diagram, invented by Karl E. Taylor in 1994 (published in 2001) facilitates the comparative assessment of different models. It is used to quantify the degree of correspondence between the modeled and observed behavior in terms of three statistics: the Pearson correlation coefficient, the root-mean-square error (RMSE) error, and the standard deviation. Although Taylor diagrams have primarily been used to evaluate models designed to study climate and other aspects of Earth's environment, they can be used for purposes unrelated to environmental science (e.g., to quantify and visually display how well fusion energy models represent reality). Taylor diagrams can be constructed with a number of different open source and commercial software packages, including: GrADS, IDL, MATLAB, NCL, Python, R, and CDAT. (Wikipedia).
In this video I repeat the look at the Taylor expansion of e to the power x so that you can become familiar with it. Calculating the derivative of the Taylor expansion of e to the power x, just gives you the Taylor expansion of e to the power x!
From playlist Biomathematics
One topic in basic calculus that you may not have seen before that is that of the Taylor expansion of a function. It is a series that can be used in stead of the actual function around a certain x-value for easier calculations.
From playlist Biomathematics
How To Find A Taylor Polynomial Using The Definition
How To Find A Taylor Polynomial Using The Definition We find the 3rd degree Taylor Polynomial for f(x) = x*sin(x) centered at c = pi/2. Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Calculus 2 Exam 4 Playlist
In this video we discuss the Taylor Series (and the closely related Maclaurin Series). These are two specific types of Power Series that allow you to approximate a function with derivatives of the function at an expansion point. We show how to derive the Taylor Series coefficients in sin
From playlist Optimization
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
Free ebook http://tinyurl.com/EngMathYT A lecture that introduces Taylor series (and Maclaurin series) and shows how to calculate them. Plenty of examples are discussed and solved. Such ideas are seen in university mathematics.
From playlist A second course in university calculus.
Taylor polynomials + functions of two variables
Download the free PDF http://tinyurl.com/EngMathYT This is a basic tutorial on how to calculate a Taylor polynomial for a function of two variables. The ideas are applied to approximate a difficult square root. Such concepts are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Taylor Series and Taylor Polynomials
What is a Taylor series? How to make a Taylor Series for a function. Step by step example of approximating cos(x) around x = 2.
From playlist Calculus
Syntax - Trees: Crash Course Linguistics #4
There are many theories of syntax and different ways to represent grammatical structures, but one of the simplest is tree structure diagrams! In this episode of Crash Course Linguistics, we’ll use tree structure diagrams to keep track of words and groups of words within sentences, and we’l
From playlist Linguistics
Norbert Müller : Wrapping in exact real arithmetic
Abstract : A serious problem common to all interval algorithms is that they suffer from wrapping effects, i.e. unnecessary growth of approximations during a computation. This is essentially connected to functional dependencies inside vectors of data computed from the same inputs. Reducing
From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.
4. Continuous-Time (CT) Systems
MIT MIT 6.003 Signals and Systems, Fall 2011 View the complete course: http://ocw.mit.edu/6-003F11 Instructor: Dennis Freeman License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.003 Signals and Systems, Fall 2011
1. Introduction to the Class | MIT 8.224 Exploring Black Holes
Lecturer: Edmund Bertschinger View the complete course at: http://ocw.mit.edu/8-224S03 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Exploring Black Holes: General Relativity & Astrophysics
Diagramming, Clues, Deductions: Full Section Strategy // Logic Games [LSAT Analytical Reasoning]
Today's LSAT video goes back to the beginning: what is the best overall approach to the LSAT Analytical Reasoning section? How do we keep track of the elements of the game? How do we keep track of our previous work and use that on future questions? What's the best way to move fast enough t
From playlist LSAT Games
Multivariable Taylor Polynomials
Free ebook http://tinyurl.com/EngMathYT A lecture on how to calculate Taylor polynomials and series for functions of two variables. Such ideas are useful in approximation of functions. We show where the polynomial representation comes from.
From playlist Mathematics for Finance & Actuarial Studies 2
Introduction to Amplitudes (Lecture 2) by Marcus Spradlin
RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lecture
From playlist Recent Developments in S-matrix Theory (Online)
In this video, I give a very neat and elegant proof of Taylor’s theorem, just to show you how neat math can be! It is simply based on repeated applications of the fundamental theorem of calculus. Enjoy! Note: The thumbnail is taken from https://i.redd.it/kv7lk5kn31e01.jpg
From playlist Calculus
Project 1: Logistic Map (Part A) | Lecture 11 | Numerical Methods for Engineers
Getting ready to do a numerical calculation of the logistic map. Let's first learn a little theory. Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my chan
From playlist Numerical Methods for Engineers
Teun van Nuland: Cyclic cocycles and one-loop corrections of the spectral action
Talk by Teun van Nuland in the Global Noncommutative Geometry Seminar (Americas) on October 28, 2022. https://globalncgseminar.org/talks/tba-37/
From playlist Global Noncommutative Geometry Seminar (Americas)
Michael Lindsey - Many-body perturbation theory and Green's function methods - IPAM at UCLA
Recorded 10 March 2022. Michael Lindsey of New York University Mathematics presents "Many-body perturbation theory and Green's function methods" at IPAM's Advancing Quantum Mechanics with Mathematics and Statistics Tutorials. Abstract: Beyond the single-particle picture of density function
From playlist Tutorials: Advancing Quantum Mechanics with Mathematics and Statistics - March 8-11, 2022
Free ebook http://tinyurl.com/EngMathYT A lecture showing how to compute Taylor polynomials. Plenty of examples are discussed and solved. Such ideas are used in approximation of functions and are seen in university mathematics.
From playlist A second course in university calculus.