Mathematical modeling of evolving systems
Discover the multidisciplinary nature of the dynamical principles at the core of complexity science. COURSE NUMBER: CAS 522 COURSE TITLE: Dynamical Systems LEVEL: Graduate SCHOOL: School of Complex Adaptive Systems INSTRUCTOR: Enrico Borriello MODE: Online SEMESTER: Fall 2021 SESSION:
From playlist What is complex systems science?
An introduction to the Tropical calculus | Data Structures in Mathematics Math Foundations 158
We give a short informal introduction to the Tropical calculus, which for us is a novel way of working with the algebra of sets and multisets. This involves defining rather unusual notions of addition and multiplication-- coming from union and addition respectively. **********************
From playlist Math Foundations
Complexity and hyperoperations | Data Structures Math Foundations 174
We introduce the idea of the complexity of a natural number: a measure of how hard it is to actually write down an arithmetical expression that evaluates to that number. This notion does depend on a prior choice of arithmetical symbols that we decide upon, but the general features are surp
From playlist Math Foundations
Sets and other data structures | Data Structures in Mathematics Math Foundations 151
In mathematics we often want to organize objects. Sets are not the only way of doing this: there are other data types that are also useful and that can be considered together with set theory. In particular when we group objects together, there are two fundamental questions that naturally a
From playlist Math Foundations
Network Analysis. Course introduction.
Introduction to the Social Network Analysis course.
From playlist Structural Analysis and Visualization of Networks.
Algebraic Structures: Groups, Rings, and Fields
This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.
From playlist Abstract Algebra
R - Structural Equation Model Basics Lecture 1
Lecturer: Dr. Erin M. Buchanan Missouri State University Summer 2016 This lecture covers the basic terminology for structural equation modeling including: identification, scaling, variable types, manifest/latent variables, path coefficient types, endogenous/exogenous variables, degrees o
From playlist Structural Equation Modeling
Type Systems - Vladimir Voevodsky
Vladimir Voevodsky Institute for Advanced Study November 21, 2012
From playlist Mathematics
What is a Tensor? Lesson 19: Algebraic Structures I
What is a Tensor? Lesson 19: Algebraic Structures Part One: Groupoids to Fields This is a redo or a recently posted lesson. Same content, a bit cleaner. Algebraic structures are frequently mentioned in the literature of general relativity, so it is good to understand the basic lexicon of
From playlist What is a Tensor?
Stanford Seminar - On the Origin of Experience: The Shaping of Sense and the Complex World
"On the Origin of Experience: The Shaping of Sense and the Complex World" -Steven Ericsson-Zenith Colloquium on Computer Systems Seminar Series (EE380) presents the current research in design, implementation, analysis, and use of computer systems. Topics range from integrated circuits to
From playlist Engineering
A Geometric Approach to Modeling and Analysis of Mixed-Dimensional and Multi-Continuum Materials
SIAM Geosciences Webinar Series Date and Time: Thursday, November 10, 2022 Speaker: Jan Martin Nordbotten, University of Bergen Abstract: Spatial differential operators such as gradient, curl and divergence enjoy deep connections which form the roots of several disparate fields in pure an
From playlist SIAM Geosciences Webinar Series
Robert Ghrist: Lecture 1: Topology Applied I
27th Workshop in Geometric Topology, Colorado College, June 10, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
8ECM Public Lecture: Kathryn Hess
From playlist 8ECM Public Lectures
A Mathematical Theory of Solids-from Atomic to Macroscopic Scales - Weinan E
75th Anniversary Celebration School of Mathematics Weinan E Princeton University March 12, 2005 More videos on http://video.ias.edu
From playlist Mathematics
Peter Bubenik - Lecture 2 - TDA: Theory
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Peter Bubenik, University of Florida Title: TDA: Theory Abstract: In the second talk, I will discuss some of the theory of TDA. An important feature of TDA is that many of its constructions have been proven to be stable -
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
JunJie Wee (7/27/22): Mathematical AI in Molecular Sciences
Abstract: With great accumulations in experimental data, computing power and learning models, artificial intelligence (AI) is making great advancements in molecular sciences. Recently, the breakthrough of AlphaFold 2 in protein folding herald a new era for AI-based molecular data analysis
From playlist Applied Geometry for Data Sciences 2022
Interview at Cirm : Thomas LECUIT
Thomas Lecuit est directeur de recherche au CNRS, professeur au Collège de France, titulaire de la chaire Dynamiques du vivant. Il dirige une équipe de recherche à l’Institut de Biologie du Développement de Marseille (IBDM - Aix-Marseille université, CNRS), et le Centre Turing des Systèmes
From playlist Interviews en français - French interviews
Upscaling and Automation: New Opportunities for Multiscale Systems Modeling
SIAM Geosciences Webinar Series Date and Time: Wednesday, March 8, 2023, 12:00pm Eastern time zone Speaker: Ilenia Battiato, Stanford University Abstract: The accurate modeling of energy and geologic systems has challenged generations of computational physicists due to the mathematical an
From playlist SIAM Geosciences Webinar Series
8ECM Plenary Lecture: Gitta Kutyniok
From playlist 8ECM Plenary Lectures
Recursively Defined Sets - An Intro
Recursively defined sets are an important concept in mathematics, computer science, and other fields because they provide a framework for defining complex objects or structures in a simple, iterative way. By starting with a few basic objects and applying a set of rules repeatedly, we can g
From playlist All Things Recursive - with Math and CS Perspective