Numerical analysis | Computer arithmetic algorithms | Pi algorithms
In mathematics, the FEE method, or fast E-function evaluation method, is the method of fast summation of series of a special form. It was constructed in 1990 by and is so-named because it makes fast computations of the Siegel E-functions possible, in particular of . A class of functions, which are "similar to the exponential function," was given the name "E-functions" by Carl Ludwig Siegel. Among these functions are such special functions as the hypergeometric function, cylinder, spherical functions and so on. Using the FEE, it is possible to prove the following theorem: Theorem: Let be an elementary transcendental function, that is the exponential function, or a trigonometric function, or an elementary algebraic function, or their superposition, or their inverse, or a superposition of the inverses. Then Here is the complexity of computation (bit) of the function with accuracy up to digits, is the complexity of multiplication of two -digit integers. The algorithms based on the method FEE include the algorithms for fast calculation of any elementary transcendental function for any value of the argument, the classical constants e, the Euler constant the Catalan and the Apéry constants, such higher transcendental functions as the Euler gamma function and its derivatives, the hypergeometric, spherical, cylinder (including the Bessel) functions and some other functions foralgebraic values of the argument and parameters, the Riemann zeta function for integer values of the argument and the Hurwitz zeta function for integer argument and algebraic values of the parameter, and also such special integrals as the integral of probability, the Fresnel integrals, the integral exponential function, the trigonometric integrals, and some other integrals for algebraic values of the argument with the complexity bound which is close to the optimal one, namely At present, only the FEE makes it possible to calculate fast the values of the functions from the class of higher transcendental functions, certain special integrals of mathematical physics and such classical constants as Euler's, Catalan's and Apéry's constants. An additional advantage of the method FEE is the possibility of parallelizing the algorithms based on the FEE. (Wikipedia).
Find the Cost Function given the Marginal Cost and Fixed Costs
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From playlist Calculus
[Calculus] Newton's Method || Lecture 36
Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any que
From playlist Calculus 1
How to Estimate Fixed and Variable Costs with the High-Low Method and Excel
You can read about the High-Low Method and download the Excel spreadsheet here: https://magnimetrics.com/fixed-and-variable-costs-high-low-method/ If you like this video, drop a comment, give it a thumbs up and consider subscribing here: https://www.youtube.com/c/HowToBeAnAdult?sub_confir
From playlist Excel Tutorials
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How To Use Newton's Method from Calculus. An easy example using the formula.
From playlist Calculus
What is the Monte Carlo method? | Monte Carlo Simulation in Finance | Pricing Options
In today's video we learn all about the Monte Carlo Method in Finance. These classes are all based on the book Trading and Pricing Financial Derivatives, available on Amazon at this link. https://amzn.to/2WIoAL0 Check out our website http://www.onfinance.org/ Follow Patrick on twitter h
From playlist Exotic Options & Structured Products
Euler’s method - How to use it?
► My Differential Equations course: https://www.kristakingmath.com/differential-equations-course Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method,
From playlist Differential Equations
Number Theory | Euler's Totient Function Examples
We give some examples of calculating values of Euler's totient function. http://www.michael-penn.net
From playlist Number Theory
Ex: Write a Cost Function and Complete a Table of Values
This video provides an example of how to write a cost function given a fix cost and a variable cost. Complete Library: http://www.mathispower4u.com Search Library: http://www.mathispower4u.wordpress.com
From playlist Introduction to Functions: Function Basics
Using parent graphs to understand the left and right hand limits
👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val
From playlist Evaluate Limits of Absolute Value
System Identification: Koopman with Control
This lecture provides an overview of the use of modern Koopman spectral theory for nonlinear control. In particular, we develop control in a coordinate system defined by eigenfunctions of the Koopman operator. Data-driven discovery of {K}oopman eigenfunctions for control E. Kaiser, J. N
From playlist Data-Driven Control with Machine Learning
Ch05n2: Halley’s Method: an improved version of Newton’s method
Halley’s Method: an improved version of Newton’s method. Numerical Computation, chapter 5, additional video no 2. To be viewed after the regular videos of chapter 5. Wen Shen, Penn State University, 2018.
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Joe Kileel - Method of moments in cryo-EM - IPAM at UCLA
Recorded 16 November 2022. Joe Kileel of the University of Texas at Austin presents "Method of moments in cryo-EM" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: In this talk, I will present recent advances in the theory and implementation of method of moments-based appr
From playlist 2022 Cryo-Electron Microscopy and Beyond
Get the Code: http://goo.gl/KwvpW In this part of the Code Refactoring tutorial I'll focus on conditionals. Conditional statements can very often make your code very hard to read. Here we'll clean up conditional statements by extracting them into methods. We'll look at how important nami
From playlist Code Refactoring
Kaggle Reading Group: EfficientNet (Part 2) | Kaggle
This week we'll be starting EfficientNet (Tan & Le, 2019), which was published at ICML 2019. The paper proposes a new family of models that are both smaller and faster to train than traditional convolutional neural networks. Link to paper: http://proceedings.mlr.press/v97/tan19a/tan19a.pd
From playlist Kaggle Reading Group | Kaggle
Two opposite games involving golden ratio (ft. Tom Rocks Maths)
Thanks Tom for the little cameo in the beginning of the video! Dr. Tom Crawford, who got his PhD in Cambridge, is currently at the University of Oxford teaching undergraduates in St. Edmund Hall (nicknamed Teddy Hall, hence the name of the competition), St. Hugh's College and St. John's Co
From playlist Collaborations
ch10 4. Nonlinear shooting method. Wen Shen
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
Unfolding Method and Homogenization (Lecture 2) by Daniel Onofrei
PROGRAM: MULTI-SCALE ANALYSIS AND THEORY OF HOMOGENIZATION ORGANIZERS: Patrizia Donato, Editha Jose, Akambadath Nandakumaran and Daniel Onofrei DATE: 26 August 2019 to 06 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Homogenization is a mathematical procedure to understa
From playlist Multi-scale Analysis And Theory Of Homogenization 2019
Koopman Spectral Analysis (Control)
In this video, we explore extensions of Koopman theory for control systems. Much of the excitement and promise of Koopman operator theory is centered around the ability to represent nonlinear systems in a linear framework, opening up the potential use of linear estimation and control tech
From playlist Koopman Analysis
Lec 11 | MIT 18.086 Mathematical Methods for Engineers II
Level Set Method View the complete course at: http://ocw.mit.edu/18-086S06 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.086 Mathematical Methods for Engineers II, Spring '06
Applying Quadratic Functions 3
U10_L2_T1_we3 Applying Quadratic Functions 3 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
From playlist Algebra I Worked Examples