Computable analysis | Constructivism (mathematics) | Computability theory
In mathematics and computer science, computable analysis is the study of mathematical analysis from the perspective of computability theory. It is concerned with the parts of real analysis and functional analysis that can be carried out in a computable manner. The field is closely related to constructive analysis and numerical analysis. A notable result is that integration (in the sense of the Riemann integral) is computable. This might be considered surprising as an integral is (loosely speaking) an infinite sum. While this result could be explained by the fact that every computable function from to is uniformly continuous, the notable thing is that the modulus of continuity can always be computed without being explicitly given. A similarly surprising fact is that differentiation of complex functions is also computable, while the same result is false for real functions. The above motivating results have no counterpart in Bishop's constructive analysis. Instead, it is the stronger form of constructive analysis developed by Brouwer that provides a counterpart in constructive logic. (Wikipedia).
Function Comparision - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
Evaluate a linear expression for two variables
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
13_2 Optimization with Constraints
Here we use optimization with constraints put on a function whose minima or maxima we are seeking. This has practical value as can be seen by the examples used.
From playlist Advanced Calculus / Multivariable Calculus
Introduction to Regression Analysis
This video introduced analysis and discusses how to determine if a given regression equation is a good model using r and r^2.
From playlist Performing Linear Regression and Correlation
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric Equations
Definition of Supremum and Infimum of a Set | Real Analysis
What are suprema and infima of a set? This is an important concept in real analysis, we'll be defining both terms today with supremum examples and infimum examples to help make it clear! In short, a supremum of a set is a least upper bound. An infimum is a greatest lower bound. It is easil
From playlist Real Analysis
Time Series Analysis In R | Data Science With R Tutorial
This video talks about, how to use the R statistical software to carry out some simple analyses that are common in analysing time series data. This video tells you how to carry out these analyses using R, rather explaining time series analysis. Here are some important things to know about
Quantum Topological Data Analysis (Part 1) [Péguy Kem-Meka]
Quantum Topological Data Analysis is about how quantum computers and quantum information processors can learn pattern in data that cannot be learn by classical TDA algorithms. Quantum computers are becoming available to general public. They can dramatically reduce both execution time and e
From playlist Tutorials
In this presentation, you'll hear from University of Warsaw professors sharing their experience teaching an analysis course using Mathematica. The presenters give examples of problems where Mathematica can be used effectively as an aid in solving mathematical problems, or at least to inspi
From playlist Wolfram Technology Conference 2020
The Computer Chronicles - Investment Software (1988)
Special thanks to archive.org for hosting these episodes. Downloads of all these episodes and more can be found at: http://archive.org/details/computerchronicles
From playlist Computer Chronicles Episodes on Software
Side Channel Analysis of Cryptographic Implementations
Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Computer - Cryptography and Network Security
On the efficiency and Consistency of covariance localisation... - Farchi - Workshop 2 - CEB T3 2019
Farchi (ENPC, FR) / 13.11.2019 On the efficiency and Consistency of covariance localisation in the ensemble Kalman filter ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/Institut
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Why Do I Need to Know Python -- I'm a Pandas User || James Powell
It's common for data scientists to narrowly focus on the APIs of the tools they use every day—pandas, matplotlib, pymc, dask, &c.—to the detriment of any focus on the surrounding programming language. In the case of tools like matplotlib, the total amount of Python we need to know is limit
From playlist Python
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
Professor Kostas Zygalakis, University of Edinburgh
Bio He received his PhD in computational stochastic differential equations from University of Warwick at 2009 and held postdoctoral positions at the Universities of Cambridge, Oxford and the Swiss Federal Institute of Technology, Lausanne. In 2011 he was awarded a Leslie Fox Prize (IMA UK
From playlist Short Talks
Eigendecomposition is a technique that finds "special" vectors associated with square matrices. Eigendecomposition is the basis for many important techniques in data analysis, including principal components analyses, blind-source-separation, and other spatial filters. You'll also see a com
From playlist OLD ANTS #9) Matrix analysis