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Discrete Math CS 2800
Discrete Math CS 2800

... subtract d from a, as many times as needed so that what remains, r, is less than d. Given negative a and (positive) d, in order to get r we repeatedly add d to a, as many times as needed so that what remains, r, is positive (or zero) and less than d. ...
Set Theory for Computer Science (pdf )
Set Theory for Computer Science (pdf )

An Introductory Course in Elementary Number Theory
An Introductory Course in Elementary Number Theory

exams description
exams description

Full text
Full text

... to r e a d e r s of the Fibonacci Quarterly. Charles W. Raine [l] noted that if four consecutive Fibonacci numbers are taken, then the product of the extreme t e r m s can be used a s one leg of a Pythagorean triangle, twice the product of the mean t e r m s as the other, to give a hypotenuse which ...
C3.1 Algebra and functions 1
C3.1 Algebra and functions 1

... Rational expressions Remember, a rational number is any number that can be written in the form a , where a and b are integers and b ≠ 0. b Numbers written in this form are often called fractions. In algebra, a rational expression is an algebraic fraction that can be written in the form f ( x ) , wh ...
C3.1 Algebra and functions 1
C3.1 Algebra and functions 1

... Rational expressions Remember, a rational number is any number that can be written in the form a , where a and b are integers and b ≠ 0. b Numbers written in this form are often called fractions. In algebra, a rational expression is an algebraic fraction that can be written in the form f ( x ) , wh ...
SEVENTY YEARS OF SALEM NUMBERS
SEVENTY YEARS OF SALEM NUMBERS

CHAP02 Linear Congruences
CHAP02 Linear Congruences

... 142 with a remainder of 6. Actually the quotient is unimportant, only the remainder. So if we were doing the calculation in our head, and we were feeling particularly lazy, we might say something like this. “Throw away 700 to get 300. Now discard 280, leaving 20. Take off 14 and this leaves us with ...
Infinitesimal Calculus - gauge
Infinitesimal Calculus - gauge

Number Theory Homework.
Number Theory Homework.

MAT001 – Chapter 2 - Fractions 1 of 15 Understanding Fractions
MAT001 – Chapter 2 - Fractions 1 of 15 Understanding Fractions

Contents
Contents

Prop. If n is an integer, then 3 | (n 3 − n). Proof. By the Division
Prop. If n is an integer, then 3 | (n 3 − n). Proof. By the Division

On Giuga numbers - Dartmouth Math Home
On Giuga numbers - Dartmouth Math Home

... Carmichael number; that is, the congruence an ≡ a (mod n) holds for all integers a. We refer the reader to [5, pp. 21-22] and the introduction to [7] for more properties of the Giuga numbers. In [1], the relation (1.2) is relaxed to p2 | n−p, and it is shown that this property is equivalent to the s ...
Sets, Whole Numbers, and Numeration The Mayan Numeration
Sets, Whole Numbers, and Numeration The Mayan Numeration

Volume 1 (December 2009)
Volume 1 (December 2009)

Document
Document

... ALGEBRA Write 2.7 as a mixed number. Let N = 2.7 or 2.777... . Then 10N = 27.777... . ...
Real Numbers, Exponents, and Scientific Notation
Real Numbers, Exponents, and Scientific Notation

Number Theory Famous Unsolved Problems
Number Theory Famous Unsolved Problems

An invitation to additive prime number theory
An invitation to additive prime number theory

AN INVITATION TO ADDITIVE PRIME NUMBER THEORY A. V.
AN INVITATION TO ADDITIVE PRIME NUMBER THEORY A. V.

Chapter 1 Plane figurate numbers - Beck-Shop
Chapter 1 Plane figurate numbers - Beck-Shop

... points on the plane, which forms a regular polygon. One speaks about m-gonal numbers if the arrangement forms a regular m-gon. 1.1.2. Polygonal numbers were a concern of Pythagorean Geometry, since Pythagoras is credited with initiating them, and originating the notion that these numbers are generat ...
Unit 1 Number I core
Unit 1 Number I core

... universal set U, empty set  or { }, complement of A, A’, number of elements in A, n(A) Sets in descriptive form {x } or as a list. NEW Venn diagrams with at most three sets. ...
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Georg Cantor's first set theory article

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