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
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
Introduction to sets || Set theory Overview - Part 1
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
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
Set Theory (Part 1): Notation and Operations
Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make
From playlist Set Theory by Mathoma
What is a Power Set? | Set Theory, Subsets, Cardinality
What is a power set? A power set of any set A is the set containing all subsets of the given set A. For example, if we have the set A = {1, 2, 3}. Then the power set of A, denoted P(A), is {{ }, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}} where { } is the empty set. We also know that
From playlist Set Theory
Every Set is an Element of its Power Set | Set Theory
Every set is an element of its own power set. This is because the power set of a set S, P(S), contains all subsets of S. By definition, every set is a subset of itself, and thus by definition of the power set of S, it must contain S. This is even true for the always-fun empty set! We discu
From playlist Set Theory
This video defines set-builder notation and compares it to interval expressed graphically, using interval notation, and using inequalities. Site: http://mathispower4u.com
From playlist Using Interval Notation
Power Set of the Power Set of the Power Set of the Empty Set | Set Theory
The power set of the power set of the power set of the empty set, we'll go over how to find just that in today's set theory video lesson! We'll also go over the power set of the empty set, the power set of the power set of the empty set, and we'll se the power set of the power set of the p
From playlist Set Theory
Jeff Jauregui - Capacity in low regularity, with connections to general relativity
The classical concept of capacity generalizes from Euclidean space to complete Riemannian manifolds, and even to suitable classes of metric spaces. I will discuss recent joint work with Raquel Perales and Jim Portegies on understanding capacity in local integral current spaces, describing
From playlist Not Only Scalar Curvature Seminar
On symplectic capacities and their blind spots - Ely Kerman
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: On symplectic capacities and their blind spots Speaker: Ely Kerman Affiliation: University of Illinois, Urbana-Champaign Date: February 11, 2022 In this talk I will discuss a joint project with Yuanpu Liang
From playlist Mathematics
Symplectic convexity? (an ongoing story...)
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Symplectic convexity? (an ongoing story...) Speaker: Jean Gutt Affiliation: University of Toulouse Date: October 21, 2022 What is the symplectic analogue of being convex? We shall present different ideas to
From playlist Mathematics
Large deviations for the Wiener Sausage by Frank den Hollander
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 5/27/22
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Three 20-minute research talks Speaker: Daniel Rudolf (Ruhr-Universität Bochum): Viterbo‘s conjecture for Lagrangian products in ℝ4 We show that Viterbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian pro
From playlist Mathematics
Nexus Trimester - Ofer Shayevitz (Tel Aviv University)
Zero-error capacity for multiuser channels Ofer Shayevitz (Tel Aviv University) March,03 206 Abstract: The capacity of a point-to-point communication channel under a zero-error criterion was originally studied by Shannon in 1956. Despite the apparent simplicity of the problem, and in cont
From playlist Nexus Trimester - 2016 - Central Workshop
Pengzi Miao - Recent inequalities on the mass-to-capacity ratio
On an asymptotically flat 3-manifold, both the mass and the capacity have unit of length, and hence their ratio is a dimensionless quantity. In this talk, I will discuss recent work on establishing new inequalities for the mass-to-capacity ratio on manifolds with nonnegative scalar curvatu
From playlist Not Only Scalar Curvature Seminar
EEVblog #393 - LiPo Battery Discharge Testing
Getting a battery discharge curve on a Turnigy 5000mAh battery using a BK Precision 8500 Electronic Load Battery Charging Tutorial: http://www.youtube.com/watch?v=A6mKd5_-abk Battery Capacity Tutorial: http://www.youtube.com/watch?v=R8hTQXqURB4 Forum Topic: http://www.eevblog.com/forum/blo
From playlist USB Power Supply Design
Pablo Ochoa: Capacity based cond for existence of sol. to f / e problems with 1st-order terms
In this talk, we will discuss the existence of distributional solutions to fractional elliptic problems with non-linear first-order terms and measure data ! in RN. It is well-known in the literature that solutions to elliptic problems with superlinear growth in the gradient exist if the so
From playlist Hausdorff School: Trending Tools
9.3.1 Sets: Definitions and Notation
9.3.1 Sets: Definitions and Notation
From playlist LAFF - Week 9
Nexus Trimester - Giacomo Como (Lund University)
Resilient control of dynamic flow networks Giacomo Como (Lund University) february 29, 2016 Abstract: This talk focuses on distributed control of dynamical flow networks. These are modeled as dynamical systems derived from mass conservation laws on directed capacitated networks. The flow
From playlist Nexus Trimester - 2016 - Central Workshop