Topology | Properties of topological spaces

Selection principle

In mathematics, a selection principle is a rule assertingthe possibility of obtaining mathematically significant objects by selecting elements from given sequences of sets. The theory of selection principlesstudies these principles and their relations to other mathematical properties.Selection principles mainly describe covering properties, measure- and category-theoretic properties, and local properties in topological spaces, especially function spaces. Often, the characterization of a mathematical property using a selection principle is a nontrivial task leading to new insights on the characterized property. (Wikipedia).

Selection principle
Video thumbnail

What is Natural Selection?

Support Stated Clearly on Patreon: https://www.patreon.com/statedclearly Special thanks to Rosemary at Bird and Moon Comics for supplying a handful of the critter illustrations: http://www.birdandmoon.com/ Special thanks to AD for the music! http://www.proofavenue.com/ Natural Selectio

From playlist Most popular from Stated Clearly & Friends

Video thumbnail

Selection

Paul Andersen explains the importance of selection in biology. Artificial selection occurs when humans choose traits that will be selected for or against. This has created the variety of domesticated animals and crops. He then describes the three main types of ecological natural selecti

From playlist Biology

Video thumbnail

Competition and Natural Selection | Evolution | Biology | FuseSchool

In nature, all organisms compete with each other for resources in order to survive. Competition between members of the same species is what makes organisms evolve. This theory of competition and ‘survival of the fittest’ is called Natural Selection, and was originally proposed by Charle

From playlist BIOLOGY: Evolution

Video thumbnail

Design Thinking

If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.

From playlist Design Thinking

Video thumbnail

Mechanisms of Natural Selection Part 1: Types of Sexual Selection

We touched upon sexual selection when we learned about natural selection. Essentially when there is a variance in the reproductive success of a particular sex for a given species, secondary sex characteristics will develop in that species, because one sex has the opportunity to choose a ma

From playlist Biology/Genetics

Video thumbnail

Teach Astronomy - Definition of Life

http://www.teachastronomy.com/ What is life? This simple question is amazingly difficult to answer. Even biologists cannot utterly agree on it. At one extreme, if we are too specific in our definition of life, we exclude the possibility that life might not be based, for example, on carb

From playlist 24. Chemistry and Context for Life

Video thumbnail

Mechanisms of Natural Selection: Altruism and Kin Selection

We have learned all about so-called "survival of the fittest" which is a phrase we associate with natural selection. We typically associate this concept with competition for resources, but there are situations in which this involves the complete opposite, in the form of cooperative and alt

From playlist Biology/Genetics

Video thumbnail

What Is Design Thinking?

Design thinking can improve anything from a water bottle to a community water system. See how design thinking improves the creative process, from Professor Stefanos Zenios: http://stanford.io/1mgkHGR

From playlist More

Video thumbnail

3. Adaptive Evolution: Natural Selection

Principles of Evolution, Ecology and Behavior (EEB 122) Adaptive Evolution is driven by natural selection. Natural selection is not "survival of the fittest," but rather "reproduction of the fittest." Evolution can occur at many different speeds based on the strength of the selection dr

From playlist Evolution, Ecology and Behavior with Stephen C. Stearns

Video thumbnail

Is the Anthropic Principle Significant? | Episode 1904 | Closer To Truth

Is the Anthropic Principle significant? Here’s the claim: conditions of the universe relate to the presence of observers. Does the Anthropic Principle convey deep insights? Or thwart science? For sure, it’s often misunderstood and controversial. Featuring interviews with Bernard Carr, Pedr

From playlist Closer To Truth | Season 19

Video thumbnail

Mod-01 Lec-33 Evolutionary Economics: the idea of change as evolution

History of Economic Theory by Dr. Shivakumar, Department of Humanities and Social Sciences IIT Madras, For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Madras: History of Economic Theory | CosmoLearning.org Economics

Video thumbnail

Simple Interest Calculations and IF and ISBLANK Formulas

In this video, we look at how to solve for interest, principal, rate and time using the I = PRT simple interest formula. We also look at how to use an IF and ISBLANK formula to calculate interest given time in years, months or days. #shaunteaches

From playlist Personal Finance

Video thumbnail

9.2: Genetic Algorithm: How it works - The Nature of Code

In part 2 of this genetic algorithm series, I explain how the concepts behind Darwinian Natural Selection are applied to a computational evolutionary algorithm. 🎥 Previous video: https://youtu.be/9zfeTw-uFCw?list=RxTfc4JLYKs&list=PLRqwX-V7Uu6bJM3VgzjNV5YxVxUwzALHV 🎥 Next video: https://yo

From playlist Session 2 - Genetic Algorithms - Intelligence and Learning

Video thumbnail

Lec 16 | MIT 6.042J Mathematics for Computer Science, Fall 2010

Lecture 16: Counting Rules I Instructor: Marten van Dijk View the complete course: http://ocw.mit.edu/6-042JF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010

Video thumbnail

How quantitative genetics blackboxes the genotype-phenotype map by Amitabh Joshi

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 Wint

From playlist Winter School on Quantitative Systems Biology

Video thumbnail

Counting, Permutations, Combinations, and Probability Lesson

This video provides a lesson on counting, permutations, combinations, and probability. http://mathispower4u.com

From playlist Probability

Video thumbnail

Анализ Социальных Сетей. Лекция 8. Разбиение графов

Слайды: http://www.leonidzhukov.net/hse/2014/socialnetworks/lectures/lecture8.pdf Aлгоритмы аппроксимации. Задача нахождения минимально разреза в графе. Алгори tм randomized min-cut. Многоуровневый подход. Нахождение сообществ многоурвневым методом. Локальная кластеризация. Понятие провод

From playlist Анализ Социальных Сетей. Курс НИУ ВШЭ

Video thumbnail

The Counting Principle: Cars, Outfits, and Pizza

This video introduces the counting principle. http://mathispower4u.com

From playlist Probability

Video thumbnail

1.1 - Evolutionary Thinking: Natural Selection

"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

Video thumbnail

Lecture 15: Syntax, Part 5

MIT 24.900 Introduction to Linguistics, Spring 2022 Instructor: Prof. Norvin W. Richards View the complete course: https://ocw.mit.edu/courses/24-900-introduction-to-linguistics-spring-2022/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63BZGNOqrF2qf_yxOjuG35j This v

From playlist MIT 24.900 Introduction to Linguistics, Spring 2022

Related pages

Topological space | Separable space | Σ-compact space | Sierpiński set | Topological game | Γ-space | Lindelöf space | Menger space | Rothberger space | Luzin space | Tychonoff space | Meagre set | Fréchet–Urysohn space | Baire space (set theory) | Hurewicz space | Compact space | Subspace topology | Pointwise convergence | Strong measure zero set | D-space