Mathematical induction

Results: 210



#Item
171Mathematical proof / Emmy Noether / Prime number / Polynomial / Mathematical induction / Complex number / Abstract algebra / Theorem / Algebra / Mathematics / Logic / Mathematical logic

Ten Chapters of the Algebraical Art Peter J. Cameron ii

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Source URL: www.maths.qmul.ac.uk

Language: English - Date: 2007-06-25 11:04:10
172Fibonacci number / Summation / Mathematical induction / Factorial / Recurrence relation / Generating function / Binomial coefficient / Formal power series / Mathematics / Combinatorics / Integer sequences

UIUC Mock Putnam Exam[removed]Solutions Problem 1. Let a1 = 1, a2 = 1, a3 = −1, and for n > 3 define an by an = an−1 an−3 . Find a2006 . Solution. Computing the first 10 terms of the sequence {an }, we obtain

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Source URL: www.math.illinois.edu

Language: English - Date: 2006-10-08 16:27:20
173

Copyright Notice The following manuscript EWD 697: Some beautiful arguments using mathematical induction is held in copyright by Springer-Verlag New York, who have granted permission to reproduce it here.

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Source URL: www.cs.utexas.edu

- Date: 2008-01-15 22:29:46
    174Mathematical logic / Computability theory / Theoretical computer science / Recursion / Theory of computation / Primitive recursive function / Structural induction / Recursive definition / Coinduction / Mathematics / Computer programming / Software engineering

    A Fixedpoint Approach to (Co)Inductive and (Co)Datatype Definitions∗ Lawrence C. Paulson [removed] Computer Laboratory, University of Cambridge, England 28 May 1998

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    Source URL: www.cl.cam.ac.uk

    Language: English - Date: 2003-04-29 07:49:49
    175Ordinal numbers / Set theory / Cardinal number / Constructible universe / Ordinal arithmetic / Transfinite induction / Mahlo cardinal / Woodin cardinal / Mathematical logic / Large cardinals / Mathematics

    Gra¸bczewski & Paulson Mechanizing Set Theory Mechanizing Set Theory: Cardinal Arithmetic and the Axiom of Choice

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    Source URL: www.cl.cam.ac.uk

    Language: English - Date: 2003-04-29 07:49:46
    176Theory of computation / Functions and mappings / Order theory / Models of computation / Knaster–Tarski theorem / Function / Well-founded relation / Lambda calculus / Constructible universe / Mathematics / Mathematical logic / Computability theory

    Set Theory for Verification: II Induction and Recursion Lawrence C. Paulson Computer Laboratory, University of Cambridge April 1995

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    Source URL: www.cl.cam.ac.uk

    Language: English - Date: 2003-04-29 07:49:52
    177Mathematical proofs / British television / Q / Inductive reasoning / Calculus / Junior Certificate / Mathematical induction / Statistics / Logic / Science

    Ballinteer Institute © [removed]www.leavingcertsolutions.com

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    Source URL: www.leavingcertsolutions.com

    Language: English - Date: 2004-02-29 11:08:47
    178Combinatorics / Factorial / Mathematical induction / Binomial coefficient / Mathematics / Number theory / Integer sequences

    Ballinteer Institute © [removed]www.leavingcertsolutions.com Notes on Induction

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    Source URL: www.leavingcertsolutions.com

    Language: English - Date: 2004-02-29 11:43:41
    179Logic / Epistemology / Logic in computer science / Bar induction / Mathematical induction / Constructivism / Ordinal number / Computability theory / Constructible universe / Mathematical logic / Mathematical constructivism / Mathematics

    On the foundations of constructive mathematics — especially in relation to the theory of continuous functions

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    Source URL: www.fwaaldijk.nl

    Language: English - Date: 2011-07-29 12:07:36
    180Mathematical proofs / Proof theory / Mathematical constructivism / Logical syntax / Well-quasi-ordering / Bar induction / Mathematical induction / Well-formed formula / Constructive proof / Logic / Mathematics / Mathematical logic

    An Inductive Version of Nash-Williams’ Minimal-bad-sequence Argument for Higman’s Lemma Monika Seisenberger 1

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    Source URL: www-compsci.swan.ac.uk

    Language: English - Date: 2006-06-30 15:47:08
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