PSPACE-complete problems | Automata (computation)
The intersection non-emptiness problem, also known as finite automaton intersection problem or the non-emptiness of intersection problem, is a PSPACE-complete decision problem from the field of automata theory. (Wikipedia).
Removable and Nonremovable Discontinuities in a Rational Function Calculus Example
In this video I do an example of finding Removable and Nonremovable Discontinuities in a Rational Function.
From playlist Continuity Problems
Does space mean emptiness? How do you describe it?
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From playlist Science Unplugged: Physics
From playlist Intersection Theory
Removable or Nonremovable Discontinuity Example with Absolute Value
Removable or Nonremovable Discontinuity Example with Absolute Value
From playlist Calculus 1 Exam 1 Playlist
In this video, I present a very classical example of a duality argument: Namely, I show that T^T is one-to-one if and only if T is onto and use that to show that T is one-to-one if and only if T^T is onto. This illustrates the beautiful interplay between a vector space and its dual space,
From playlist Dual Spaces
Infinite Intersection of Open Sets that is Closed Proof
Infinite Intersection of Open Sets that is Closed Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
From playlist Unlisted LA Videos
In this video, I discuss the finite intersection property, which is a nice generalization of the Cantor Intersection Theorem and a very elegant application of compactness. Enjoy this topology-filled adventure! Compactness: https://youtu.be/xiWizwjpt8o Cantor Intersection Theorem: https:/
From playlist Topology
Extremal Combinatorics with Po-Shen Loh - 04/13 Mon
Carnegie Mellon University is protecting the community from the COVID-19 pandemic by running courses online for the Spring 2020 semester. This is the video stream for Po-Shen Loh’s PhD-level course 21-738 Extremal Combinatorics. Professor Loh will not be able to respond to questions or com
From playlist CMU PhD-Level Course 21-738 Extremal Combinatorics
Finding the Removable and Nonremovable Discontinuities of a Rational Function
Finding the Removable and Nonremovable Discontinuities of a Rational Function Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys #calculus #onlinemathhelp #mathsorcerer
From playlist Calculus
Math 101 Fall 2017 120117 Compact Sets: The Heine-Borel Theorem
Theorem: the continuous image of a compact set is compact. Theorem: a collection of compact sets satisfying the finite intersection property has a non-empty intersection. Theorem: In R, closed and bounded intervals are compact. Corollary: Heine-Borel theorem (in R, a set is compact iff
From playlist Course 6: Introduction to Analysis (Fall 2017)
Diego Figueira: Semistructured data, Logic, and Automata – lecture 1
Semistructured data is an umbrella term encompassing data models which are not logically organized in tables (i.e., the relational data model) but rather in hierarchical structures using markers such as tags to separate semantic elements and data fields in a ‘self-describing’ way. In this
From playlist Logic and Foundations
Query Complexity of Black-Box Search - Ben Rossman
Ben Rossman Tokyo Institute of Technology November 5, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Nexus Trimester - Raymond Yeung (The Chinese University of Hong Kong) 1/3
Shannon's Information Measures and Markov Structures Raymond Yeung (The Chinese University of Hong Kong) February 18,2016 Abstract: Most studies of finite Markov random fields assume that the underlying probability mass function (pmf) of the random variables is strictly positive. With thi
From playlist Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme
In this video, I define connectedness, which is a very important concept in topology and math in general. Essentially, it means that your space only consists of one piece, whereas disconnected spaces have two or more pieces. I also define the related notion of path-connectedness. Topology
From playlist Topology
Here is a wonderful theorem about the intersection of decreasing closed sets, called the Cantor Intersection Theorem, also known as the Finite Intersection Property. Enjoy! Topology Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGGBXRMV32EKVI Subscribe to my channel:
From playlist Topology
Equivalence relations -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Dynamical systems, fractals and diophantine approximations – Carlos Gustavo Moreira – ICM2018
Plenary Lecture 6 Dynamical systems, fractal geometry and diophantine approximations Carlos Gustavo Moreira Abstract: We describe in this survey several results relating Fractal Geometry, Dynamical Systems and Diophantine Approximations, including a description of recent results related
From playlist Plenary Lectures
Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
Whenever we talk about something that is defined by sets, it is important to consider the empty set and how it fits into the definition. In graph theory, empty sets in the definition of a particular graph can bring on three types/categories of graphs. The empty graphs, the trivial graph, a
From playlist Graph Theory