Theory of computation | Computability theory
In computability theory, a set S of natural numbers is called computably enumerable (c.e.), recursively enumerable (r.e.), semidecidable, partially decidable, listable, provable or Turing-recognizable if: * There is an algorithm such that the set of input numbers for which the algorithm halts is exactly S. Or, equivalently, * There is an algorithm that enumerates the members of S. That means that its output is simply a list of all the members of S: s1, s2, s3, ... . If S is infinite, this algorithm will run forever. The first condition suggests why the term semidecidable is sometimes used. More precisely, if a number is in the set, one can decide this by running the algorithm, but if the number is not in the set, the algorithm runs forever, and no information is returned. A set that is "completely decidable" is a computable set. The second condition suggests why computably enumerable is used. The abbreviations c.e. and r.e. are often used, even in print, instead of the full phrase. In computational complexity theory, the complexity class containing all computably enumerable sets is RE. In recursion theory, the lattice of c.e. sets under inclusion is denoted . (Wikipedia).
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
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)
N and Order | Axiomatic Set Theory, Section 3.2
We prove the natural ordering on the natural numbers is a total order. Transitivity (0:00) Asymmetry (6:02) All elements are comparable (8:45)
From playlist Axiomatic Set Theory
Find a Set with Greatest Cardinality that is a Subset of Two Given Sets (Set Notation)
This video explains how to determine a set with greatest cardinality that is a subset of two given sets.
From playlist Sets (Discrete Math)
Set Theory (Part 20): The Complex Numbers are Uncountably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will establish a bijection between the complex numbers and the real numbers, showing that the complex numbers are also uncountably infinite. This will eventually mean that the cardinal
From playlist Set Theory by Mathoma
Introduction to the Cardinality of Sets and a Countability Proof
Introduction to Cardinality, Finite Sets, Infinite Sets, Countable Sets, and a Countability Proof - Definition of Cardinality. Two sets A, B have the same cardinality if there is a bijection between them. - Definition of finite and infinite sets. - Definition of a cardinal number. - Discu
From playlist Set Theory
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In this video we define inductive sets, the natural numbers, the axiom of infinity, and the standard order relation on the natural numbers. My Twitter: https://twitter.com/KristapsBalodi3 Intro (0:00) Defining Natural Numbers as Sets (1:19) Definition of Inductive Sets (5:07) The Axiom o
From playlist Axiomatic Set Theory
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From playlist Proofs
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From playlist [Shai Simonson]Theory of Computation
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In this video we're going to define and implement decidable as well as semidecidable. Code is found under https://gist.github.com/Nikolaj-K/808149debf7c3b09705127f9205f6c3f Other names for the two are recursive or computable resp. recursively enumerable, computably enumerable - I also say
From playlist Programming
Arnaud Durand : A quick and partial survey on the complexity of query answering
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Active Directory Enumeration With PowerView
In this video, I cover the process of performing Active Directory enumeration with PowerView. ----------------------------------------------------------------------------------- BLOG ►► https://bit.ly/3qjvSjK FORUM ►► https://bit.ly/39r2kcY ACADEMY ►► https://bit.ly/39CuORr ----------
From playlist Ethical Hacking & Penetration Testing - Complete Course
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From playlist Summer of Math Exposition Youtube Videos
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
In this video, I demonstrate how to perform SMB enumeration with Nmap. Nmap is used to discover hosts and services on a computer network by sending packets and analyzing the responses. Nmap provides a number of features for probing computer networks, including host discovery and service an
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Cantor's Infinity Paradox | Set Theory
Sign up to brilliant.org to receive a 20% discount with this link! https://brilliant.org/upandatom/ Cantor sets and the nature of infinity in set theory. Hi! I'm Jade. Subscribe to Up and Atom for new physics, math and computer science videos every two weeks! *SUBSCRIBE TO UP AND ATO
From playlist Math
Ruud Pellikaan: The coset leader weight enumerator of the code of the twisted cubic
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From playlist Combinatorics
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From playlist Apple Watch App Development
Math 131 Fall 2018 092118 Cardinality
Recall definitions: injective, surjective, bijective, cardinality. Definitions: finite, countable, at most countable, uncountable, sequence. Remark: a 1-1 correspondence with the natural numbers is the same thing as a bijective sequence. Theorem: Every infinite subset of a countable set
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
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MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Showed that various TM variants are al
From playlist MIT 18.404J Theory of Computation, Fall 2020