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Real Numbers and the Number Line
Real Numbers and the Number Line

Algebra 2: Chapter 5 Guideline on Polynomials
Algebra 2: Chapter 5 Guideline on Polynomials

Algebraic degrees of stretch factors in mapping class groups 1
Algebraic degrees of stretch factors in mapping class groups 1

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DVD Quiz game with displaying of the score (PART 2)

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x - mor media international

... Recall that functions such as f(x) = x1/2 and f(x) = log x are not continuous on all real numbers, nevertheless, they are continuous at every number in their domains. For example, the domain of f(x) = x1/2 is [0, ) and its interval of continuity is also [0, ). Similarly, the domain of f(x) = log x ...
Module Overview
Module Overview

Module Overview
Module Overview

1.1 Prove that there is no rational number whose square is 12. Proof
1.1 Prove that there is no rational number whose square is 12. Proof

POLYNOMIAL BEHAVIOUR OF KOSTKA NUMBERS
POLYNOMIAL BEHAVIOUR OF KOSTKA NUMBERS

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Approximation of irrational numbers. Let α be an irrational number
Approximation of irrational numbers. Let α be an irrational number

Marianne Kemp math1210spring2012-3
Marianne Kemp math1210spring2012-3

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Document

Document
Document

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Solutions

Programming for Bioinformatics
Programming for Bioinformatics

Real Numbers and the Number Line
Real Numbers and the Number Line

1-3 Reteaching
1-3 Reteaching

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2009 USA Team Selection Test

Simple Continued Fractions for Some Irrational Numbers
Simple Continued Fractions for Some Irrational Numbers

Strong Theorems on Coin Tossing - International Mathematical Union
Strong Theorems on Coin Tossing - International Mathematical Union

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Document

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Full text

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Vincent's theorem

In mathematics, Vincent's theorem—named after Alexandre Joseph Hidulphe Vincent—is a theorem that isolates the real roots of polynomials with rational coefficients.Even though Vincent's theorem is the basis of the fastest method for the isolation of the real roots of polynomials, it was almost totally forgotten, having been overshadowed by Sturm's theorem; consequently, it does not appear in any of the classical books on the theory of equations (of the 20th century), except for Uspensky's book. Two variants of this theorem are presented, along with several (continued fractions and bisection) real root isolation methods derived from them.
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