In mathematical logic, specifically computability theory, a function is sequentially computable if, for every of real numbers, the sequence is also computable. A function is effectively uniformly continuous if there exists a recursive function such that, if then A real function is computable if it is both sequentially computable and effectively uniformly continuous, These definitions can be generalized to functions of more than one variable or functions only defined on a subset of The generalizations of the latter two need not be restated. A suitable generalization of the first definition is: Let be a subset of A function is sequentially computable if, for every -tuplet of computable sequences of real numbers such that the sequence is also computable. This article incorporates material from Computable real function on PlanetMath, which is licensed under the Creative Commons Attribution/Share-Alike License. (Wikipedia).
Intro to Real Functions (3 of 4: Characteristics of a function)
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From playlist Working with Functions
Describing Functions (Discrete Math)
This video covered the various ways to describe functions in a discrete math class.
From playlist Functions (Discrete Math)
2.11117 What is a rational function Functions
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From playlist Rational Functions - Understanding
Real Analysis: Continuous Functions
This video is about continuous functions.
From playlist Basics: Real Analysis
Theory of numbers: Multiplicative functions
This lecture is part of an online undergraduate course on the theory of numbers. Multiplicative functions are functions such that f(mn)=f(m)f(n) whenever m and n are coprime. We discuss some examples, such as the number of divisors, the sum of the divisors, and Euler's totient function.
From playlist Theory of numbers
In this video we cover some rational function fundamentals, including asymptotes and interecepts.
From playlist Polynomial Functions
Determine if a Relation is a Function
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From playlist Intro to Functions
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.
Determine if a Function is a Polynomial Function
This video explains how to determine if a function is a polynomial function. http://mathispower4u.com
From playlist Determining the Characteristics of Polynomial Functions
Quantum generative adversarial networks | TDLS Author Speaking
Toronto Deep Learning Series, 18 June 2018 For slides and more information, visit https://tdls.a-i.science/events/2018-06-18/ Paper Review: https://arxiv.org/abs/1804.08641 Speaker: https://www.linkedin.com/in/pierre-luc-dallaire-demers-006540116/ Organizer: https://www.linkedin.com/in/
From playlist Quantum Machine Learning
Wolfram Physics Project: Working Session Tuesday, Nov. 2, 2021 [Topos Theory]
This is a Wolfram Physics Project working session about Topos Theory in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/
From playlist Wolfram Physics Project Livestream Archive
From playlist Atelier PARI/GP 2016
DDPS | Empowering Hybrid Twins from Physics-Informed Artificial Intelligence
Talk Abstract World is changing very rapidly. Today we do not sell aircraft engines, but hours of flight, we do not sell an electric drill but good quality holes, … and so on. We are nowadays more concerned by performances than by the products themselves. Thus, the new needs imply focusi
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
Topologies of nodal sets of random band limited functions - Peter Sarnak
Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics March 3, 2014 We discuss various Gaussian ensembles for real homogeneous polynomials in several variables and the question of the distribution of the topologies of the connected components of the zero sets of a typic
From playlist Mathematics
Computation Ep34, Uncomputable numbers (Apr 29, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Eva Darulova : Programming with numerical uncertainties
Abstract : Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmetic in which most algorithms are designed. Finite-precision arithmetic, such as fixed-point or floating-point, is a common and efficient choice, but introd
From playlist Mathematical Aspects of Computer Science
Somil Bansal: "Scaling Hamilton-Jacobi Reachability Analysis for Robotics"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Scaling Hamilton-Jacobi Reachability Analysis for Robotics: Multi-agent Systems to Real-time Computation" Somil Bansal - University of California, Berkeley A
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Function Singularities and Their Applications
For the latest information, please visit: http://www.wolfram.com Speaker: Adam Strzebonski Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2016
Recursive Functions (Discrete Math)
This video introduces recursive formulas.
From playlist Functions (Discrete Math)