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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 A-0=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♀A-1=I=A-1 ♀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 1-1 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 A--B= 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 half-planes 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