In set theory, a subset of a Polish space is ∞-Borel if itcan be obtained by starting with the open subsets of , and transfinitely iterating the operations of complementation and wellordered union. Note that the set of ∞-Borel sets may not actually be closed under wellordered union; see below. (Wikipedia).
Can You Define the Immeasurable?
What is infinity? Can you define something that, by definition, has no boundaries? A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. We asked people from all walks of
From playlist Mathematics
A subject extensively studied by philosophers, mathematicians, and now recently, physicists, infinity is a uniquely universal enigma within the academic world. Thinkers clash over questions such as: Does infinity exist? What types of infinity are there? Watch the Full Program Here: https:
From playlist Mathematics
http://www.woodthatworks.com/kinetic-sculptures/infinity Infinity Kinetic sculpture by David C. Roy with actual sounds The video segments of the full sculpture have been endited to keep the total length of the video short. For a longer sequence https://youtu.be/nPUcQpyLBh0
From playlist Kinetic Sculpture
Infinite Limits With Equal Exponents (Calculus)
#Calculus #Math #Engineering #tiktok #NicholasGKK #shorts
From playlist Calculus
Limits to Infinity | Real numbers and limits Math Foundations 108 | N J Wildberger
We carry on with our study of the definition of a limit, concentrating on particularly pleasant and amenable kinds of sequences, associated to rational polynumbers (or rational functions) and now going to infinity. Again we use a simpler and more elegant variant on the classical definiti
From playlist Math Foundations
(PP 1.8) Measure theory: CDFs and Borel Probability Measures
Correspondence between Borel probability measures on R and CDFs (cumulative distribution functions). A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4 You can skip the measure theory (Section 1) if you're not in
From playlist Probability Theory
(PP 1.S) Measure theory: Summary
A brief summary of the material from this section, emphasizing probability measures.
From playlist Probability Theory
How many kinds of infinity are there?
A lot. List with links: http://vihart.com/how-many-kinds-of-infinity-are-there/
From playlist Doodling in Math and more | Math for fun and glory | Khan Academy
What’s the biggest number you can think of? Well, what about one more than that number? We can’t really comprehend the idea of infinity, but it’s still a useful concept in science. Brian Greene explains more. Subscribe to our YouTube Channel for all the latest from World Science U. Visit
From playlist Science Unplugged: Physics
David Sauzin - On the Resurgent WKB Analysis
Iwill report on a work in progress with F. FAUVET(Université de Strasbourg)and R. SCHIAPPA(University ofLisbon)about the WKB formal expansions solutions to the 1D stationary Schrödinger equation with polynomial coefficients. Our emphasis is on the coequational resurgent structure,
From playlist Resurgence in Mathematics and Physics
(PP 3.1) Random Variables - Definition and CDF
(0:00) Intuitive examples. (1:25) Definition of a random variable. (6:10) CDF of a random variable. (8:28) Distribution of a random variable. A playlist of the Probability Primer series is available here: http://www.youtube.com/view_play_list?p=17567A1A3F5DB5E4
From playlist Probability Theory
Stavros Garoufalidis - Arithmetic Resurgence of Quantum Invariants
I will explain some conjectures concerning arithmetic resurgence of quantum knot and 3-manifold invariants formulated in an earlier work of mine in 2008, as well as numerical tests of those conjectures and their relations to quantum modular forms, state integrals and their q-series. Joint
From playlist Resurgence in Mathematics and Physics
Epsilon delta limit (Example 4): Limits at infinity
This part of the epsilon-delta series covers limits at infinity. You can find Examples 1 and 2 on blackpenredpen's channel, and Example 3 on my channel. Enjoy! Note: I realized after the fact that this limit may be a bit too simple, but if you want to prove that the limit of f at infinity
From playlist Calculus
Semantic models for higher-order Bayesian inference - Sam Staton, University of Oxford
In this talk I will discuss probabilistic programming as a method of Bayesian modelling and inference, with a focus on fully featured probabilistic programming languages with higher order functions, soft constraints, and continuous distributions. These languages are pushing the limits of e
From playlist Logic and learning workshop
Introduction to Resurgence, Trans-series and Non-perturbative Physics - I by Gerald Dunne
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
Infinity: The Science of Endless
"The infinite! No other question has ever moved so profoundly the spirit of man," said David Hilbert, one of the most influential mathematicians of the 19th century. A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity stil
From playlist Explore the World Science Festival
Lecture 8: Lebesgue Measurable Subsets and Measure
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=cqdUuREzGuo&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity
Limit of (4u^4 + 5)/((u^2 - 2)(2u^2 - 1)) as u approaches infinity. This is a calculus problem where we find a limit as u approaches infinity. In this case we have a rational function and the numerator and denominator have the same growth rate, so the limit is the ratio of the leading coef
From playlist Limits at Infinity
Real Analysis Ep 20: Heine-Borel Theorem
Episode 20 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is some more about the Heine-Borel Theorem. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: htt
From playlist Math 3371 (Real analysis) Fall 2020