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sample cheatsheet
sample cheatsheet

... Contradiction: means to start assuming p and ¬q, and follow a path toward which a statement which cannot be true is stated as true. The beauty of this proof is that we assert the opposite of the conclusion and as a byproduct some other statement becomes self contradictory i.e (¬q ^ p) → (r ^ ¬r), wh ...
Contradiction: means to follow a path toward which a statement
Contradiction: means to follow a path toward which a statement

Integer Operations Tip Sheet
Integer Operations Tip Sheet

Figurate Numbers / Practice
Figurate Numbers / Practice

Lec11Proofs05
Lec11Proofs05

... It is easy to make mistakes, make sure that: 1) All premises pi are true when you prove (p1 AND p2 AND...pn)  q 2) Every rule of inference you use is correct. Some proof strategies: To proof pq 1) direct proof: assume p is true, use rules to prove that q is true. 2) indirect proof, assume q is NOT ...
Lec11Proofs
Lec11Proofs

... It is easy to make mistakes, make sure that: 1) All premises pi are true when you prove (p1 AND p2 AND...pn)  q 2) Every rule of inference you use is correct. Some proof strategies: To proof pq 1) direct proof: assume p is true, use rules to prove that q is true. 2) indirect proof, assume q is NOT ...
Sets of Real Numbers
Sets of Real Numbers

Mathematics for students Contents Anna Strzelewicz October 6, 2015
Mathematics for students Contents Anna Strzelewicz October 6, 2015

... a) terminating decimal - having a finite number of digits after the decimal point (terminating expansion can be padded In each with infinitely many zeros), for example, 41 = 0.25000 . . . case the that three b) repeating decimal - ending with a string of digits dots ...
Prime Numbers - Winchester College
Prime Numbers - Winchester College

SOME IRRATIONAL NUMBERS Proposition 1. The square root of 2
SOME IRRATIONAL NUMBERS Proposition 1. The square root of 2

1, 2, 3, 6, 11, . . . 8th term
1, 2, 3, 6, 11, . . . 8th term

Notes - Cornell Computer Science
Notes - Cornell Computer Science

Conjecture Practice Sheet
Conjecture Practice Sheet

An Unusual Continued Fraction
An Unusual Continued Fraction

... Therefore the sequence 4rn2 − 2, and in turn An+2 , grow doubly exponentially. This phenomenon explains the observation of Hanna and Wilson for the sequence A100864 in [23]. The first few values of the sequences we have been discussing are given below: ...
Available - Bodill Education
Available - Bodill Education

Simplifying Expressions
Simplifying Expressions

Sprint Round
Sprint Round

Section10.7
Section10.7

Section 2.4 Countable Sets
Section 2.4 Countable Sets

MAS110 Problems for Chapter 2: Summation and Induction
MAS110 Problems for Chapter 2: Summation and Induction

A66 INTEGERS 14 (2014) SMITH NUMBERS WITH EXTRA DIGITAL
A66 INTEGERS 14 (2014) SMITH NUMBERS WITH EXTRA DIGITAL

... In a separate article, McDaniel [3] also constructed an infinite sequence of palindromic Smith numbers. McDaniel’s definition of a palindromic number includes numbers of the form N ⇥ 10e , where N is itself a palindrome, since we argue that e leading zeros may be prefixed in order to see the number ...
5 Famous Math Conjectures
5 Famous Math Conjectures

Name: Date: Period:______ Unit 1 Practice Test Variables and
Name: Date: Period:______ Unit 1 Practice Test Variables and

There are infinitely many limit points of the fractional parts of powers
There are infinitely many limit points of the fractional parts of powers

Adding Real Numbers We can add numbers using a number line
Adding Real Numbers We can add numbers using a number line

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Georg Cantor's first set theory article

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