'Real numbers r' diaporamas de présentation

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Decidability

Decidability. The diagonalization method The halting problem is undecidable. Undecidability. decidable. decidable ? RE ? all languages our goal: prove these containments proper. all languages. regular languages. context free languages. RE. Countable and Uncountable Sets.

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Basic Structures: Sets, Functions, Sequences, Sums, and Matrices

Basic Structures: Sets, Functions, Sequences, Sums, and Matrices. Chapter 2. With Question/Answer Animations. Chapter Summary. Sets The Language of Sets Set Operations Set Identities Functions Types of Functions Operations on Functions Computability Sequences and Summations

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CS21 Decidability and Tractability

CS21 Decidability and Tractability. Lecture 10 January 29, 2014. Problem Set + grading. 3 points for each part of each problem PS1: 24 points total mean: 17.2 median: 19.5 2013: 19.5, 20 2012: 19.6, 21 2011: 18.7, 19 2010: 19.3, 20 2009: 20.0, 21 2008: 20.6, 21. Problem set + grading.

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The Recursion Theorem

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Modeling and Simulation Monte carlo simulation

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THE HYPERREAL NUMBERS

THE HYPERREAL NUMBERS. We want to introduce two new types of numbers, namely, Infinite and infinitesimal numbers. What we should do here is an extension from R, the *R, the hyper-real numbers.

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Warmup Alg 2 1 4 & 15 February 2012

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Field Extension

Field Extension. The main study of Field Theory By: Valerie Toothman. What is a Field Extension?. Abstract Algebra Main object of study in field theory The General idea is to start with a field and construct a larger field that contains that original field and satisfies additional properties.

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Unit 3.2 Properties of Real Functions

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