'Countable sets' presentation slideshows

Algebraic and Transcendental Numbers

Algebraic and Transcendental Numbers. Dr. Dan Biebighauser. Outline. Countable and Uncountable Sets. Outline. Countable and Uncountable Sets Algebraic Numbers. Outline. Countable and Uncountable Sets Algebraic Numbers Existence of Transcendental Numbers. Outline.

1.47k views • 94 slides

A Universal Turing Machine

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Busch Complexity Lectures: A Universal Turing Machine

632 views • 60 slides

Introduction to Computability Theory

Introduction to Computability Theory. Lecture11: The Halting Problem Prof. Amos Israeli. The Halting Problem. In this lecture we present an undecidable language.

631 views • 50 slides

Introduction to Computability Theory

Introduction to Computability Theory. Lecture11: The Halting Problem Prof. Amos Israeli. The Halting Problem. In this lecture we present an undecidable language.

715 views • 50 slides

Undecidability

Undecidability. Andreas Klappenecker [based on slides by Prof. Welch]. Sources. Theory of Computing, A Gentle Introduction , by E. Kinber and C. Smith, Prentice-Hall, 2001 Automata Theory, Languages and Computation, 3rd Ed ., by J. Hopcroft, R. Motwani, and J. Ullman, 2007.

516 views • 49 slides

Undecidability

Undecidability. Andreas Klappenecker [based on slides by Prof. Welch]. 1. Understanding Limits of Computing. So far, we have studied how efficiently various problems can be solved. There has been no question as to whether it is possible to solve the problem

593 views • 46 slides

A Hierarchy of Formal Languages and Automata

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Cardinality with Applications to Computability

Cardinality with Applications to Computability. Lecture 33 Section 7.5 Wed, Apr 12, 2006. Cardinality of Finite Sets. For finite sets, the cardinality of a set is the number of elements in the set. For a finite set A , let | A | denote the cardinality of A. Cardinality of Infinite Sets.

644 views • 39 slides

Cardinality with Applications to Computability

Cardinality with Applications to Computability. Lecture 33 Section 7.5 Thu, Mar 17, 2005. Cardinality of Finite Sets. For finite sets, the cardinality of a set is the number of elements in the set. For a finite set A , let | A | denote the cardinality of A. Cardinality of Infinite Sets.

373 views • 36 slides

22C:19 Discrete Math Sequence and Sums

22C:19 Discrete Math Sequence and Sums. Fall 2011 Sukumar Ghosh. Sequence. A sequence is an ordered list of elements. . Examples of Sequence. Examples of Sequence. Examples of Sequence. Not all sequences are arithmetic or geometric sequences. An example is Fibonacci sequence.

742 views • 35 slides

Chapter 7 Functions

Chapter 7 Functions. Dr. Curry Guinn. Outline of Today. Section 7.1: Functions Defined on General Sets Section 7.2: One-to-One and Onto Section 7.3: The Pigeonhole Principle Section 7.4: Composition of functions Section 7.5: Cardinality. What is a function?. A function f f : X ? Y

470 views • 32 slides

Cardinality of a Set

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PowerPoint Presentation

PowerPoint Presentation . Section 2.6 Infinite Sets. The idea of Infinity . Infinity is not a number. Infinity is an idea related to numbers. It is believed that there are an infinite number of stars in the universe -- the number of stars cannot be counted. Infinite Sets.

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Sequences and Summations

Sequences and Summations. CSE 260. Outline. Sequences Special Integer Sequences Summations Cardinality: countable, uncountable infinite sets Exercise 1.7. Sequences. Definition A sequence is a function from a subset of N , the set of natural numbers, to a set S . Notation

582 views • 18 slides

AND

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Fractals

167 views • 10 slides

Discrete Mathematics CS 2610

Discrete Mathematics CS 2610. February 24, 2009 -- part 3. Cardinality. Def.: The cardinality of a set is the number of elements in the set. Def.: Let A and B be two sets. A and B have the same cardinality iff there is a one-to-one correspondence (bijection) between A and B.

115 views • 10 slides