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Ramsey Theory
Ramsey Theory

Many proofs that the primes are infinite
Many proofs that the primes are infinite

MEASURE AND OTHER PROPERTIES OF A
MEASURE AND OTHER PROPERTIES OF A

MATH 65 COURSE NOTEBOOK
MATH 65 COURSE NOTEBOOK

Number Theory Exam 2
Number Theory Exam 2

By Dr. Stan Saunders
By Dr. Stan Saunders

Adding and Subtracting Fractions
Adding and Subtracting Fractions

Are We Speaking the Same Language?
Are We Speaking the Same Language?

Sample pages 1 PDF
Sample pages 1 PDF

Intro to Factoring.notebook
Intro to Factoring.notebook

Times table square
Times table square

Second Proof: Every Positive Integer is a Frobenius
Second Proof: Every Positive Integer is a Frobenius

... there is no closed formula for F (n1 , n2 , n3 ). Nevertheless, it would be interesting to determine properties of the Frobenius number of three generators. In particular, the authors proved in [5] that F (n1 , n2 , n3 ) is surjective, i.e. there exist positive integers a, b, c such that F (a, b, c) ...
The sequences part
The sequences part

Lecture Notes for Section 8.1
Lecture Notes for Section 8.1

RSA-1024
RSA-1024

Complex Numbers
Complex Numbers

Frequency of Primes Instructions (Word Format)
Frequency of Primes Instructions (Word Format)

... 1. How many prime numbers are less than 100? Check other intervals of 100 (100 to 200, 200 to 300, etc.) to determine the numbers of primes. Form a conjecture about the numbers of primes in these intervals. 2. Pairs of numbers such as 3 and 5, 5 and 7, 11 and 13, whose difference is 2 are called twi ...
REPRESENTATIONS OF INTEGERS BY QUADRATIC FORMS As
REPRESENTATIONS OF INTEGERS BY QUADRATIC FORMS As

sergey-ccc08
sergey-ccc08

Sullivan College Algebra Section 4.1
Sullivan College Algebra Section 4.1

solution
solution

Worksheet 17 (4
Worksheet 17 (4

An Analysis of the Collatz Conjecture
An Analysis of the Collatz Conjecture

Factoring Review Notes
Factoring Review Notes

Combinatorial Aspects of Continued Fractions
Combinatorial Aspects of Continued Fractions

< 1 ... 48 49 50 51 52 53 54 55 56 ... 164 >

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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