In mathematics, two non-empty subsets A and B of a given metric space (X, d) are said to be positively separated if the infimum (Some authors also specify that A and B should be disjoint sets; however, this adds nothing to the definition, since if A and B have some common point p, then d(p, p) = 0, and so the infimum above is clearly 0 in that case.) For example, on the real line with the usual distance, the open intervals (0, 2) and (3, 4) are positively separated, while (3, 4) and (4, 5) are not. In two dimensions, the graph of y = 1/x for x > 0 and the x-axis are not positively separated. (Wikipedia).
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
What are Overlapping Sets? | Set Theory
What are overlapping sets? This is a relation between sets that I have not seen any YouTube videos on, so I figured I'd add this video explaining the term to the massive YouTube catalogue! In this video we define overlapping sets and give some examples. Two sets, A and B, are overlapping
From playlist Set Theory
Determine Sets Given Using Set Notation (Ex 2)
This video provides examples to describing a set given the set notation of a set.
From playlist Sets (Discrete Math)
What are Disjoint Sets? | Set Theory
What are disjoint sets? That is the topic of discussion in today's lesson! Two sets, A and B, are disjoint if and only if A intersect B is equal to the empty set. This means that two sets are disjoint if and only if they have no elements in common. This is the same as the two sets being "m
From playlist Set Theory
Determine Sets Involving Unions, Intersections, and Compliments
This video explains how to determine a variety of sets involving intersections, unions, and compliments.
From playlist Sets (Discrete Math)
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
9.3.1 Sets: Definitions and Notation
9.3.1 Sets: Definitions and Notation
From playlist LAFF - Week 9
Linear classifiers (1): Basics
Definitions; decision boundary; separability; using nonlinear features
From playlist cs273a
Lecture 19 - Logistic Regression and Classification
This is Lecture 19 of the CSE519 (Data Science) course taught by Professor Steven Skiena [http://www.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: http://www.cs.stonybrook.edu/~skiena/519 More information may be found here: http://www
From playlist CSE519 - Data Science Fall 2016
Lecture 0702 Large Margin Intuition
Machine Learning by Andrew Ng [Coursera] 07 Support Vector Machines
From playlist Machine Learning by Professor Andrew Ng
NIP Henselian fields - F. Jahnke - Workshop 2 - CEB T1 2018
Franziska Jahnke (Münster) / 05.03.2018 NIP henselian fields We investigate the question which henselian valued fields are NIP. In equicharacteristic 0, this is well understood due to the work of Delon: an henselian valued field of equicharacteristic 0 is NIP (as a valued field) if and on
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
Lecture 5 "Perceptron" -Cornell CS4780 SP17
Cornell class CS4780. (Online version: https://tinyurl.com/eCornellML ) Lecture Notes: http://www.cs.cornell.edu/courses/cs4780/2018fa/lectures/lecturenote03.html
From playlist CORNELL CS4780 "Machine Learning for Intelligent Systems"
Karol Życzkowski : Geometry of Quantum Entanglement
Recording during the thematic meeting : "Geometrical and Topological Structures of Information" the August 31, 2017 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematician
From playlist Geometry
This provides examples of determining is elements are in sets and if a set is a proper subset of another set. http://mathispower4u.com
From playlist Sets
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - S-H.Kye
Seung-Hyeok Kye (Seoul National University, Seoul, Korea) / 15.09.17 Title: Positivity of multi-linear maps and applications to quantum information theory Abstract: In this talk, we use the duality between n-partite separable states and positive multi-linear maps with n-1 variables, to g
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester