In computability and complexity theory, ALL is the class of all decision problems. (Wikipedia).

Big O Notation: A Few Examples

This video is about Big O Notation: A Few Examples Time complexity is commonly estimated by counting the number of elementary operations (elementary operation = an operation that takes a fixed amount of time to preform) performed in the algorithm. Time complexity is classified by the nat

From playlist Computer Science and Software Engineering Theory with Briana

Clojure Conj 2012 - Whence Complexity?

Whence Complexity? by: Michael Nygard Quantum Mechanics and General Relativity don't agree on much, but both claim that every physical process is perfectly reversible. The Second Law of Themodynamics says, "Not likely!" The Second Law may win in the long run, but today, at (nearly) every

From playlist Clojure Conf 2012

Algorithms Explained: Computational Complexity

An overview of computational complexity including the basics of big O notation and common time complexities with examples of each. Understanding computational complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if y

From playlist Algorithms Explained

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

Time Complexity Analysis | What Is Time Complexity? | Data Structures And Algorithms | Simplilearn

This video covers what is time complexity analysis in data structures and algorithms. This Time Complexity tutorial aims to help beginners to get a better understanding of time complexity analysis. Following topics covered in this video: 00:00 What is Time Complexity Analysis 04:21 How t

From playlist Data Structures & Algorithms

Depth complexity and communication games - Or Meir

Or Meir Institute for Advanced Study; Member, School of Mathematics September 30, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

Optional: Complexity - Applied Cryptography

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

From playlist Applied Cryptography

Determine a Time Complexity of Code Using Big-O Notation: O(1), O(n), O(n^2)

This video explains how to determine the time complexity of given code. http://mathispower4u.com

From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)

Ximena Fernández 7/20/22: Morse theory for group presentations and the persistent fundamental group

Discrete Morse theory is a combinatorial tool to simplify the structure of a given (regular) CW-complex up to homotopy equivalence, in terms of the critical cells of discrete Morse functions. In this talk, I will present a refinement of this theory that guarantees not only a homotopy equiv

From playlist AATRN 2022

Francesca Tombari (5/9/22): What's behind the homotopical decomposition of a simplicial complex

Decomposing a simplicial complex by taking a covering of its vertices does not necessarily preserves the homotopy type of the original one. Thus, there is no hope in general to retrieve the homotopy type of the Vietoris-Rips complex of a metric space, just by studying Vietoris-Rips complex

From playlist Bridging Applied and Quantitative Topology 2022

Lecture 2 | Modern Physics: Quantum Mechanics (Stanford)

Lecture 2 of Leonard Susskind's Modern Physics course concentrating on Quantum Mechanics. Recorded January 21, 2008 at Stanford University. This Stanford Continuing Studies course is the second of a six-quarter sequence of classes exploring the essential theoretical foundations of mode

From playlist Quantum Mechanics Prof. Susskind & Feynman

Tim McDevitt will tour the new functions in Wolfram Language for visualizing complex data and complex-valued functions of both real and complex variables. You can find a summary of new features for 12.2 here: https://reference.wolfram.com/language/guide/SummaryOfNewFeaturesIn122.html

From playlist Wolfram Technology Conference 2020

Complex Numbers, Complex Variables, and Complex Functions

In this video we discuss complex numbers and show how they can be represented in various forms (rectangular or Euler’s formula) as well as how to perform basic operations on them. Topics and time stamps: 0:00 – Introduction 2:30 – Defining complex numbers in Matlab 11:00 – Math joke on co

From playlist Ordinary Differential Equations

Jonathan Barmak: Star clusters in clique complexes and the Vietoris-Rips complex of planar sets

Abstract: The star cluster of a simplex in a simplicial complex K is the union of the stars of its vertices. When K is clique, star clusters are contractible. We will recall applications of this notion to the study of homotopy invariants of independence complexes of graphs. If X is a plan

From playlist Vietoris-Rips Seminar

Nexus Trimester - Bruno Bauwens (Higher School of Economics)

Asymmetry of online Kolmogorov complexity Bruno Bauwens (Higher School of Economics) February 29, 2016 Abstract: In order for a source to reveal a string , it needs to store at least [Math Processing Error] bits of information ([Math Processing Error] represents the Kolmogorov complexity)

From playlist Nexus Trimester - 2016 - Central Workshop

What is the difference between Vietoris-Rips and Cech complexes?

Title: What is the difference between Vietoris-Rips and Cech complexes? Abstract: We explain Vietoris-Rips and Cech simplicial complexes, both via examples, and via their mathematical definitions. These are two of the most common ways to measure the shape of data, for use in persistent ho

From playlist Tutorials

Complex Analysis L01: Overview & Motivation, Complex Arithmetic, Euler's Formula & Polar Coordinates

This is the first overview lecture in a new short-course on complex analysis. Here we motivate and introduce complex numbers z=x+iy, discuss how they are solutions to differential equations, and explain how to perform basic arithmetic, such as addition, subtraction, multiplication, and di

From playlist Engineering Math: Crash Course in Complex Analysis

Upper Bounds in Integer Complexity-CTNT 2020

Define ||n|| to be the complexity of n, which is the smallest number of 1s needed to write n using an arbitrary combination of addition and multiplication. For example, 6=(1+1)(1+1+1) shows that ||6|| is at most 5. We discuss recent results concerning upper and lower bounds for ||n||

From playlist CTNT 2020 - Conference Videos

Some elementary remarks about close complex manifolds - Dennis Sullivan

Event: Women and Mathmatics Speaker: Dennis Sullivan Affiliation: SUNY Topic: Some elementary remarks about close complex manifolds Date: Friday 13, 2016 For more videos, check out video.ias.edu

From playlist Mathematics