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Class Notes for Math & Comp Sci at Simon Fraser University

MACM 101 Lecture 28: Lecture 28 Part 3_ Chinese Remainder Theorem
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find more resources at oneclass.com Lecture 28 Part 3: Chinese Remainder Theorem Z5 - Fermats Little Theorem was improved by Euler. Fermats Little Theorem improved...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 28: Lecture 28 Part 2_ Chinese Remainder Theorem
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find more resources at oneclass.com Lecture 28 Part 2: Chinese Remainder Theorem - Therefore has the inverse modulo m, that is y such that ...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 27: Lecture 27 Part 3_ Modular Arithmetic
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find more resources at oneclass.com Lecture 27 Part 3: Modular Arithmetic - Caesar cipher with a key. A key is just a word, e.g. `KEY - Replace it with numbers: 10 4 24. ...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 26: Lecture 26 Part 1_ Common Divisors
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find more resources at oneclass.com Lecture 26 Part 1: Common Divisors The Greatest Common Divisor - For integers a and b, a positive integer c is said to be a common divisor of...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 25: Lecture 25 Part 3_ Integers
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find more resources at oneclass.com Lecture 25 Part 3: Integers ANSWER: (2AEOB) 16 Primes - Every integer n (except for 1 and -1) has at least 2 positive divisors,...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 27: Lecture 27 Part 1_ Modular Arithmetic
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find more resources at oneclass.com Lecture 27 Part 1: Modular Arithmetic Congruences - Congruences In some situations we care only about the remainder of an integer when it ...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 27: Lecture 27 Part 2_ Modular Arithmetic
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find more resources at oneclass.com Lecture 27 Part 2: Modular Arithmetic - In other words the residue of a modulo m is the remainder of a when divided by m. - Let Z neno...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 26: Lecture 26 Part 2_ Common Divisors
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find more resources at oneclass.com Lecture 26 Part 2: Common Divisors Euclidean Algorithm: The Algorithm - Let a and b be positive integers with a b. Set and Success...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 26: Lecture 26 Part 3_ Common Divisors
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find more resources at oneclass.com Lecture 26 Part 3: Common Divisors More Primes - Prime numbers have some very special properties with respect to division Properties of pr...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 28: Lecture 28 Part 1_ Chinese Remainder Theorem
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find more resources at oneclass.com Lecture 28 Part 1: Chinese Remainder Theorem Linear Congruences - A congruence of the form ax b (mod m) where m is a p...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 23: Lecture 23 Part 2_ Pigeonhole Principle
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find more resources at oneclass.com Lecture 23 Part 2: Pigeonhole Principle - If for 1 < j < i < 28 we have x j 15 = x, ihen from the start of day j + 1 to the end of day i, ...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 25: Lecture 25 Part 1_ Integers
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find more resources at oneclass.com Lecture 25 Part 1: Integers God made the integers; all else is the work of man Leopold Kronecker Division ...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 25: Lecture 25 Part 2_ Integers
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find more resources at oneclass.com Lecture 25 Part 2: Integers Examples: - Let a = 101 and d = 11 Then 101 = 11 9 + 2 - Let a = -11 an...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 23: Lecture 23 Part 1_ Pigeonhole Principle
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find more resources at oneclass.com Lecture 23 Part 1: Pigeonhole Principle Pigeonhole Principle If m pigeons occupy n pigeonholes and m > n, then at least one pigeonhole has two or more...

Math & Comp Sci
MACM 101
Andrei Bulatov
MACM 101 Lecture 19: Lecture 19 Part 1_ Mathematical Induction II
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find more resources at oneclass.com Lecture 19 Part 1: Mathematical Induction II Why Induction Works? Well Ordering - One of the axioms of positive integers is the principle of wel...

Math & Comp Sci
MACM 101
Andrei Bulatov
Laboratory Basics - Reference Guides

Lab safety is the cornerstone principle in this compelling Guide. All international safety symbols are clearly defined, with all basic lab glassware and equipment depicted by text description and diagrams. The Guide also p...

ANAT - Anatomy
ANAT 14
All Professors
Statistics - Reference Guides

This Guide provides an easy to follow summary of all basic principles that are the foundation to Statistics and Probabilities. Using a combination of charts and sample equations, the key concepts are developed and the esse...

Econometrics
ETC2430
All Professors
Calculus Derivatives - Reference Guides

This advanced Calculus Guide provides assistance to the user through its articulation of key Derivatives principles. Helpful tips to solve exponential and logarithmic functions are featured.

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Becquerel, Hyperbolic Function, International Standard Book Number

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CCalculus Integrals II INTEGRALS INVOLVING a+bu & p+qu ...

BAD - Business Administration
BAD 200
All Professors
College Mathematics - Reference Guides

This comprehensive Guide provides concrete reference materials in three math fundamentals – Algebra, Calculus, and Trigonometry. Helpful sample equations and rules are the backbone to this Guide

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Inflection Point, Inflection, Farad

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Differential Calculus Differential Calculus ...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Iterated Integral, Centroid, Multiple Integral

permacht asrTM integral Calculus theorems types of iNtegrals averaGe value Theorem ...

BAD - Business Administration
BAD 200
All Professors
Laplace Transforms - Reference Guides

This useful Math Guide is a specific reference for techniques to convert ordinary differential equations to algebraic equations. Helpful charts and summaries are used to convey information such as exponential, square root,...

BAD - Business Administration
BAD 200
All Professors
Permachart - Marketing Reference Guide: Charge Pump, Diode, Electrolytic Capacitor

l e a r n • r e f e r e n c e • r e v i e w permacharts TM CConductors & Semiconductors BASICS TERMS Conductor Valence and conduction bands for electr...

Electrical Engineering
4400:307
All Professors
Permachart - Marketing Reference Guide: Steradian, Luminous Intensity, Si Base Unit

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Metric System ...

Basic Engineering
BE 1101
All Professors
Intermediate Algebra - Reference Guides

This more advanced Guide builds upon the reference material set out in the Introductory Algebra Guide. Linear equations, polynomial equations and complex numbers are readily explained; clear and easy to follow emphasis is ...

MATH
MATH 504
All Professors
Introductory Algebra - Reference Guides

This Guide provides a concise and very readable summary of all key Algebraic principles. Special attention is directed to terminology, laws, and operations, with practical examples developed as illustration of these princi...

MATH
MATH 504
All Professors
Permachart - Marketing Reference Guide: Circumscribed Circle, Trapezoidal Rule, Quadrilateral

permacharts TM Geometry Geometry QUADRILATERALS CIRCLES & CONICS...

MATH
MATH 501
All Professors
Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS ...

Physics
PHYS 24300
All Professors
Vectors & Matrices - Reference Guides

Vectors are an important area of study that develops naturally from a basic understanding of physics and is subsets – statics, dynamics, and mechanics. This practical Guide provides assistance in an often complex disciplin...

Physics
PHYS 24300
All Professors
Permachart - Marketing Reference Guide: Luminous Flux, Magnetic Flux, Magnetic Flux Quantum

permacharts TM F u n d a m e n t a lP h y s ic a lC o n s t a n t s General Constants Quantity...

Physics
PHYS 24300
All Professors

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