Functional analysis | Topological vector spaces
In mathematics, more specifically in functional analysis, a subset of a topological vector space is said to be a total subset of if the linear span of is a dense subset of This condition arises frequently in many theorems of functional analysis. (Wikipedia).
Math subsets are an important concept to understand. So what is the subset definition in math? What is a subset? We go over that part of set theory in this video as well as some details on the empty set and its subset properties. Enjoy! I hope you find this video helpful, and be sure to a
From playlist Set Theory
Determine How Many Subsets Meet Various Conditions (1)
This lesson provides examples of how to determine the number of subsets of a given set under various conditions.
From playlist Counting (Discrete Math)
Find How Many Sets Are a Subset of a Given Set and Have a Given Subset
This video explains how to determine how many sets are a subset of a given set and has a given subset.
From playlist Sets (Discrete Math)
This video defines and give the notation used for subsets and proper subsets. http://mathispower4u.com
From playlist Sets
Why Every Set is a Subset of Itself | Set Theory
Why is every set a subset of itself? That's what we'll go over in today's set theory video lesson! Let A and B be sets, then A is a subset of B if and only if every element of A is also in B. Certainly every element of A is in A, thus A is a subset of itself for any set A. A proper sub
From playlist Set Theory
9.3.1 Sets: Definitions and Notation
9.3.1 Sets: Definitions and Notation
From playlist LAFF - Week 9
Number of Subsets Containing a Set of Elements | Set Theory, Combinatorics
How do we count the number of subsets that contain a particular collection of elements? We'll be answering this question with an example and a general solution in today's video set theory lesson! SOLUTION TO PRACTICE PROBLEM: There are 4 elements of S, so S has 2^4 subsets total. How man
From playlist Set Theory
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Lists)
This video explains how to determine a set with greatest cardinality that is a subset of two given sets.
From playlist Sets (Discrete Math)
Find a Set with Least Cardinality that has Two Given Subsets (Lists)
This video explains how to determine a set with least cardinality that has two given subsets.
From playlist Sets (Discrete Math)
Dynamic Programming Interview Question #1 - Find Sets Of Numbers That Add Up To 16
My Udemy course, 11 Essential Coding Interview Questions: https://www.udemy.com/11-essential-coding-interview-questions/?couponCode=DPQUESTION1 My dynamic programming intro video: https://youtu.be/vYquumk4nWw NOTE: There's an outline of this video in the comment section below! Keep in
From playlist Dynamic Programming Tutorial Series
Listing Subsets Using Tree Diagrams | Set Theory, Subsets, Power Sets
Here is a method for completely listing the subsets of a given set using tree diagrams. It's a handy way to make sure you don't miss any subsets when trying to find them. It's not super efficient, but it is reliable! The process is pretty simple, we begin with the empty set, and then branc
From playlist Set Theory
How Many Proper Subsets Does a Set Have? | Set Theory
How many proper subsets does a given set have? We'll go over the solution and reasoning in today's set theory lesson! Finding the number of subsets of a set: https://www.youtube.com/watch?v=mXlsbnP0_TU Proper subsets vs improper subsets: https://www.youtube.com/watch?v=06PsJYcl2dc List s
From playlist Set Theory
Karl Bringmann: Pseudopolynomial-time Algorithms for Optimization Problems
Fine-grained complexity theory is the area of theoretical computer science that proves conditional lower bounds based on conjectures such as the Strong Exponential Time Hypothesis. This enables the design of "best-possible" algorithms, where the running time of the algorithm matches a cond
From playlist Workshop: Parametrized complexity and discrete optimization
Binomial Coefficients -- Proof Writing 7
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From playlist Proof Writing
Decision Tree 3: which attribute to split on?
Full lecture: http://bit.ly/D-Tree Which attribute do we select at each step of the ID3 algorithm? The attribute that results in the most pure subsets. We can measure purity of a subset as the entropy (degree of uncertainty) about the class within the subset.
From playlist Decision Tree
Lecture 26 - The NP-Completeness Challenge
This is Lecture 26 of the CSE373 (Analysis of Algorithms) course taught by Professor Steven Skiena [http://www3.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: https://www.cs.stonybrook.edu/~skiena/373/newlectures/lecture22.pdf More inf
From playlist CSE373 - Analysis of Algorithms 2016 SBU
Counting Subsets and Subsets of a Specific Cardinality
This video introduces the formulas used to determine the number of subsets of a given set and to determine the number of subsets with a given cardinality.
From playlist Counting (Discrete Math)
Orders on Sets: Part 2 - Total Orders
This was recorded as supplemental content for Math 115AH in the spring quarter of 2020. In this video, we investigate in detail a simple example of a poset, and define a new notion: "total order". Hold music: Bossa Antigua by Kevin MacLeod Link: https://incompetech.filmmusic.io/song/3454
From playlist Orders on Sets
Introduction to Sets and Set Notation
This video defines a set, special sets, and set notation.
From playlist Sets (Discrete Math)
From playlist Decision Tree Learning