Chaos theory | Complex systems theory
Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, leading to nonlinearity, randomness, collective dynamics, hierarchy, and emergence. The term is generally used to characterize something with many parts where those parts interact with each other in multiple ways, culminating in a higher order of emergence greater than the sum of its parts. The study of these complex linkages at various scales is the main goal of complex systems theory. The intuitive criterion of complexity can be formulated as follows: a system would be more complex if more parts could be distinguished, and if more connections between them existed. Science as of 2010 takes a number of approaches to characterizing complexity; Zayed et al.reflect many of these. Neil Johnson states that "even among scientists, there is no unique definition of complexity – and the scientific notion has traditionally been conveyed using particular examples..." Ultimately Johnson adopts the definition of "complexity science" as "the study of the phenomena which emerge from a collection of interacting objects". (Wikipedia).
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
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
The chaotic complexity of natural numbers | Data structures in Mathematics Math Foundations 175
This is a sobering and perhaps disorienting introduction to the fact that arithmetic with bigger numbers starts to look quite different from the familiar arithmetic that we do with the small numbers we are used to. The notion of complexity is key in our treatment of this. We talk about bot
From playlist Math Foundations
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
Complex Magnitude Equation with Geometric Interpretation
A response to Fematika's video about complex loci.
From playlist Challenge Problems
Why are complex numbers awesome? What are they and how are they useful? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Test your understanding via a short quiz http://goo.gl/forms/3T2ZqTfgrL Make learning "complex" numbers easy through an interactive, fun and
From playlist Intro to Complex Numbers
Introduction to Complex Numbers (Free Ebook)
http://bookboon.com/en/introduction-to-complex-numbers-ebook This free ebook makes learning "complex" numbers easy through an interactive, fun and personalized approach. Features include: live YouTube video streams and closed captions that translate to 90 languages! Complex numbers "break
From playlist Intro to Complex Numbers
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
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
Time Complexity In Data Structure | Time Complexity Analysis - Data Structures Tutorial |Simplilearn
🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=TimeComplexityInDataStructure-WI64Fyky6m4&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.
From playlist Data Structures & Algorithms [2022 Updated]
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Members’ Colloquium Topic: A Gentle Approach to Crystalline Cohomology Speaker: Jacob Lurie Affiliation: Professor, School of Mathematics Date: February 28, 2022 Let X be a smooth affine algebraic variety over the field C of complex numbers (that is, a smooth submanifold of C^n which can
From playlist Mathematics
This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.
From playlist NEW ANTS #2) Static spectral analysis
Jonathan Belcher: Bridge cohomology-a generalization of Hochschild and cyclic cohomologies
Talk by Jonathan Belcher in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-... on August 12, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
The Simplifying Synthesis Ultimate Guide To Bonding In d-Metal Coordination Complexes
An (almost) complete inorganic chemistry guide to the bonding in d-metal coordination complexes. Section 1 describes the basic structure of inorganic metal complexes, ligand-metal interactions and isomerism, Section 2 deals with Crystal Field Theory, Ligand Field Stabilization Energy, Mag
From playlist Ultimate Guides
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 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
Introduction to Complex Solutions of Polynomials (Precalculus - College algebra 35)
Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com A brief explanation of Complex Zeros/Roots, where they come from, how they are used, and why they come in conjugate pairs.
From playlist Precalculus - College Algebra/Trigonometry