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95 Cards in this Set
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N=Natural or counting numbers

{1,2,3,4,...}


W=Whole Numbers

{0,1,2,3,...}


I or z = integers

{...,3,2,1,0,1,2,3,...}


Q=Rational Numbers

All numbers that can be expressed as a ratio of I


R=Real numbers

All the numbers on the number line


C=Complex Numbers

a+b i  a,b=R i is the square root of 1


Density

A set is dense if between every pair of elements is another element


Number

An Idea concerning amount


Numeral

A symbol that represents a number


Digit

A symbol used to make a numeral


Commutative Property of +

A+B=B+A


Commutative Property of *

A*B=B*A


Commutative Property

A♀B=B♀A


Associative property of +

(A+B)+C=A+(B+C)


Associative Property of *

(A*B)*C=A*(B*C)


Associative Property

(A♀B)♀C=A♀(B♀C)


Additive Identity

A+0=A=0+A


Multiplicative Identity

A*1=A=1*A


Right Identity for Division

A/1=A


Right Identity for Subtraction

A0=A


Identity

A♀I=A=I♀A


Additive Inverse

A+A=0=A+A


Multiplicative Inverse

A*1/A=1=1/A*A


Inverse

A♀A1=I=A1 ♀A


Distributive Property

A(B+C)= A*B=A*C


Zero Product Theorem (ZPT)

A*0=0=0*A


Closure for subtraction of integers

If every time you subtract an integer from another integer and come out with an integer, then subtraction is closed for integers


Postulate(axiom)

Statements that we accept as true with out proof


Theorems

Statements that we prove


Cardinal Number

Tells how many or the number of elements in a set


Finite Set

A set whose cardinal number can be represented by a whole number


Infinite Set

A set whose cardinal number can’t be represented by a whole number


Equivelent Sets

Sets with the same cardinal number


11 correspondance

Each member of set A is paired with a different member of set B with nothing left over in either set


Successor

The next one


Predecesor

the previous one


Equal

Sets with the same elements


subset

If every element of A is also an element of B, then A is a subset of B


Empty Set

The set with no elements


Proper subset

Any subset that doesn’t contain every element of the set


Improper subset

The set itself


Super Set

If every element of A is also an element of B then B is a super set of A


power Set

The power set of A is the set of all subsets of A


Cardinal number of a power set

2N When N is the cardinal number of the set


Intersection

The common members of two sets


Union

AUB is all the members of A together with all the members of B


Universal Set

The set of all elements being considered


Set Complement

All the members of the universe that aren’t in the set


Patrician

A patrician on set A is a set of pair wise disjoint subsets of A, such that their U is A


Disjoint sets

Sets whose intersection is {}


conjunction

compound sentence whose connecting word is and


disjunction

a compound sentence whose connecting word is or


contradiction

A logical statement that is false for all values of all variables


Tautology

A logical statement that is true for all values of all variables


converse

Given if A then B, The converse is If B then A


contrapositive

Given if B then A, The inverse is if –A then –B


Equivelent statements

Two statements whose Truth Values are the same for all values of all variables


Subtraction

AB= A+B


Variable

A symbol used to represent an element of a set


Domain

The set of all possible replacements for a variable


Absolute Value

A = {A if A is greater than or equal to 0
{A if A is less than 0 

Factor

If A*B=C then A and B are factors of C


Multiple

If A*B=C then C is a multiple of A and b


prime

A whole number >1 whose only factors are 1 & itself


Composite

A whole number >1 with more than 2 factors


Relatively Prime

Two numbers whose GCF is 1


Fundamental Theorem of Arithmetic

Any composite number that can be expressed as a unique product of primes


GCF

largest number that is a factor of each of two numbers


LCM

The smallest positive number that is a multiple of each of two numbers


Perfect Numbers

Numbers for which the sum of the proper factors is the number itself


Abundant Numbers

Numbers for which the sum of the proper factors is greater than the number itself


Deficiant Numbers

Numbers for which the sum of the proper factors is less than the number itself


Amicable Numbers

Two numbers for which the sum of the proper factors of each is the other.


Line

A straight set of points


Plane

A flat set of points


Space

The totality of all points


Continuos

no holes


Infinite

Contains an infinite number of points


Demension

A measurable quantity


Seperation

A geometric structure is separated by a boundary if we can’t get from one side to the other with out passing through the boundary


Stationary

Does not move


Curve

A set of points that can be traced with out picking up your pencil, crossing, or retracing


Closed Curve

A curve that begins and ends at the same point


Simple Closed Curve

a curve that is closed with no other point touched twice


Vertex

A point where 2 or more continuous sets of points intersect


Dihedral Angle

The union of 2 halfplanes and their common line of intersection


Probability

The likely hood that an event will occur


Sample Space

the set of all possible outcomes for an experiment


Combonation

A set in which order doesn’t matter


Permutation

A set in which order does matter


Factorial

N! Is the product first N counting numbers


Multiplication Principal

If Choice A can be made in M ways and choice B can be made in N ways then together they can be made in M*N ways


Independant Events

Events that don’t effect the others


Mutually Exclusive

2 events that can’t occur at the same time.


Conditional Events

An event that occurs given the condition that a previous event has already occurred
