The perfect number of axioms | Axiomatic Set Theory, Section 1.1
In this video we introduce 6 of the axioms of ZFC set theory. My Twitter: https://twitter.com/KristapsBalodi3 Intro: (0:00) The Axiom of Existence: (2:39) The Axiom of Extensionality: (4:20) The Axiom Schema of Comprehension: (6:15) The Axiom of Pair (12:16) The Axiom of Union (15:15) T
From playlist Axiomatic Set Theory
Every Subset of a Linearly Independent Set is also Linearly Independent Proof
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every subset of a linearly independent set is also linearly independent.
From playlist Proofs
12. Evolutionary stability: social convention, aggression, and cycles
Game Theory (ECON 159) We apply the idea of evolutionary stability to consider the evolution of social conventions. Then we consider games that involve aggressive (Hawk) and passive (Dove) strategies, finding that sometimes, evolutionary populations are mixed. We discuss how such games ca
From playlist Game Theory with Ben Polak
11. Evolutionary stability: cooperation, mutation, and equilibrium
Game Theory (ECON 159) We discuss evolution and game theory, and introduce the concept of evolutionary stability. We ask what kinds of strategies are evolutionarily stable, and how this idea from biology relates to concepts from economics like domination and Nash equilibrium. The informal
From playlist Game Theory with Ben Polak
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
MF150: What exactly is a set? | Data Structures in Mathematics Math Foundations | NJ Wildberger
What exactly is a set?? This is a crucial question in the modern foundations of mathematics. Here we begin an examination of this thorny issue, first by discussing the usual English usage of the term, as well as alternate terms, such as collection, aggregate, bunch, class, menagerie etc th
From playlist Math Foundations
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
Set Theory 1.4 : Well Orders, Order Isomorphisms, and Ordinals
In this video, I introduce well ordered sets and order isomorphisms, as well as segments. I use these new ideas to prove that all well ordered sets are order isomorphic to some ordinal. Email : fematikaqna@gmail.com Discord: https://discord.gg/ePatnjV Subreddit : https://www.reddit.com/r/
From playlist Set Theory
The Complement System: Classical, Lectin, and Alternative Pathways
We are learning about the features of innate immunity, and one that is often overlooked is the complement system. This is a very complicated ensemble of proteins circulating in the bloodstream that activate each other in a specific sequence that results in immune system engagement to kill
From playlist Immunology
Evolutionary game theory by Matteo Marsili
Winter School on Quantitative Systems Biology DATE:04 December 2017 to 22 December 2017 VENUE:Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Winter S
From playlist Winter School on Quantitative Systems Biology
33. Evolutionary Game Theory: Fighting and Contests
Principles of Evolution, Ecology and Behavior (EEB 122) The economic concept of game theory can be readily applied to evolution and behavior. By analyzing encounters between organisms as a mathematical "game," important information such as fitness payoffs and the proportions of "strateg
From playlist Evolution, Ecology and Behavior with Stephen C. Stearns
Collective Phenomena, Collective Motion, and Collective Action in Ecological Systems - Simon Levin
Simon Levin Princeton University February 25, 2013 Fundamental questions in basic and applied ecology alike involve complex adaptive systems, in which localized interactions among individual agents give rise to emergent patterns that feed back to affect individual behavior. In such systems
From playlist Mathematics
A Model of Tumor Heterogeneity Identifies Metastatic Disease Progression - S. Knott - 1/14/16
Full Title: A Model of Tumor Heterogeneity Identifies Novel Drivers of Metastatic Disease Progression Bioinformatics Research Symposium Beckman Institute Auditorium Thursday, January 14, 2016
From playlist Bioinformatics Research Symposium
Set Theory (Part 2): ZFC Axioms
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their
From playlist Set Theory by Mathoma
Game theory: exercises by Vishwesha Guttal
PROGRAM : PREPARATORY SCHOOL ON POPULATION GENETICS AND EVOLUTION ORGANIZERS : Deepa Agashe and Kavita Jain DATE & TIME : 04 February 2019 to 10 February 2019 VENUE :Ramanujan Lecture Hall, ICTS Bangalore The 2019 preparatory school on Population Genetics and Evolution (PGE2019) will be
From playlist Preparatory School on Population Genetics and Evolution
1.4 - Evolutionary Thinking: Adaptation: Why it is Problematic and How to Recognize it
"Evolutionary Medicine" Sinauer Associates (2015) is the textbook that supports these lectures. Instructors can request examination copies and sign up to download figures here: http://www.sinauer.com/catalog/medical/evolutionary-medicine.html
From playlist Evolution and Medicine (2015) with Stephen Stearns
Relations and Functions | Axiomatic Set Theory, Section 2.1
In this video we define and prove a few basic theorems about relations and functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro:(0:00) Ordered Pairs:(1:43) IMAGE-in that!:(3:33) Composition: (7:57) Functions:(11:05) Special thanks to Alex Stephens
From playlist Axiomatic Set Theory
Set Theory 1.1 : Axioms of Set Theory
In this video, I introduce the axioms of set theory and Russel's Paradox. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : http://docdro.id/5ITQHUW
From playlist Set Theory
Introduction to sets || Set theory Overview - Part 2
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other #sets. The #set with no element is the empty
From playlist Set Theory
BioSci 94: Organisms to Ecosystems. Lec. 6. Phylogenetic Trees, Fossil Record
UCI BioSci 94: Organisms to Ecosystems (Winter 2013) Lec 06. Organisms to Ecosystems -- Phylogenetic Trees, Fossil Record -- View the complete course: http://ocw.uci.edu/courses/biosci_94_organisms_to_ecosystems.html Instructor: Michael Clegg, Ph.D. License: Creative Commons BY-NC-SA Term
From playlist BioSci 94: Organisms to Ecosystems