Moment (mathematics) | Statistical approximations | Algebra of random variables
In probability theory, it is possible to approximate the moments of a function f of a random variable X using Taylor expansions, provided that f is sufficiently differentiable and that the moments of X are finite. (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
Math 031 041717 Getting power series expansions; Introduction to Taylor Series
Recall "properties of power series". Example applications: using the properties to obtain power series. Introduction to Taylor series. Example of Taylor series that does not recover the original function. Example of Taylor series for exponential function; for sine function.
From playlist Course 3: Calculus II (Spring 2017)
MATH2018 Lecture 1.3 Taylor Series and Error Estimation
The Taylor Series lets us find a polynomial approximation for a function of several variables. We use it to estimate the error in a function given small errors in the inputs.
From playlist MATH2018 Engineering Mathematics 2D
Taylor's Theorem with Remainder
This videos shows how to determine the error when approximating a function value with a Taylor polynomial. http://mathispower4u.yolasite.com/
From playlist Infinite Sequences and Series
Taylor's Theorem for Remainders
Calculus: Given a Taylor polynomial for a function f(x) with n+1 derivatives, Taylor's Theorem gives us a method for estimating the error from the actual value. The example of f(x) = x^5 + 1 is given. For more videos like this one, please visit the Calculus playlists at this channel.
From playlist Calculus Pt 6: Sequences and Series
Calculus 2: Infinite Sequences and Series (86 of 86) Special Theory of Relativity: Example
Visit http://ilectureonline.com for more math and science lectures! In this video I will show the special theory of relativity and its error can be calculated using the Taylor series. First video in the series can be seen at: https://youtu.be/T_HBexTEoOs
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
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
12_2_1 Taylor Polynomials of Multivariable Functions
Now we expand the creation of a Taylor Polynomial to multivariable functions.
From playlist Advanced Calculus / Multivariable Calculus
Vincent Vargas - 4/4 Liouville conformal field theory and the DOZZ formula
Materials: http://marsweb.ihes.fr/Cours_Vargas.pdf Liouville conformal field theory (LCFT hereafter), introduced by Polyakov in his 1981 seminal work "Quantum geometry of bosonic strings", can be seen as a random version of the theory of Riemann surfaces. LCFT appears in Polyakov's work a
From playlist Vincent Vargas - Liouville conformal field theory and the DOZZ formula
The Saddle Point Accountant for Differential Privacy
A Google TechTalk, presented by Shahab Asoodeh, 2022/10/19 Differential Privacy for ML seminar series.
From playlist Differential Privacy for ML
Singular Learning Theory - Seminar 19 - Asymptotic learning curve and the renormalisable condition
This seminar series is an introduction to Watanabe's Singular Learning Theory, a theory about algebraic geometry and statistical learning theory. In this seminar Edmund Lau gives a presentation of Watanabe's 2018 paper "Asymptotic learning curve and renormalizable condition in statistical
From playlist Singular Learning Theory
Alpár Mészáros: "Global well-posedness of master equations for deterministic displacement convex..."
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop III: Mean Field Games and Applications "Global well-posedness of master equations for deterministic displacement convex potential mean field games" Alpár Mészáros - Durham University Abstract: In this talk we investigate the question of
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
The two-dimensional KPZ and other marginally relevant disordered systems by Nikolaos Zygouras
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Fluctuations of FPP (Lecture 1) by Philippe Sosoe
PROGRAM : FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS : Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE : 11 July 2022 to 29 July 2022 VENUE : Ramanujan Lecture Hall and online T
From playlist First-Passage Percolation and Related Models 2022 Edited
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
Fooling polytopes - Li-Yang Tan
Computer Science/Discrete Mathematics Seminar I Topic: Fooling polytopes Speaker: Li-Yang Tan Affiliation: Stanford University Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Stochastic Dynamics (Lecture 1) by Sudipta Kumar Sinha
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
Calculus 2: Infinite Sequences and Series (84 of 86) Evaluating the Error
Visit http://ilectureonline.com for more math and science lectures! In this video I will show that the error in evaluating the approximation using the Taylor series is always less than the next term in the Taylor series. Next video in the series can be seen at: https://youtu.be/DATeSeH6_
From playlist CALCULUS 2 CH 14 SERIES AND SEQUENCES
Vincent Rivasseau, Léonard Ferdinand - Some New Taylor-BKAR Formulas
We here introduce some combinatorial and analytic tools, conceived to make possible to perform new expansions in the context of constructive field theory and multiscale analysis. These formulas generalize the idea of performing cluster expansion using a sum indexed by forest to the case of
From playlist Combinatorics and Arithmetic for Physics: special days