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69 Cards in this Set

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An expression involving a combination of real and imaginary numbers

Complex number

Rational and irrational numbers taken together

Real numbers

The square roots of negative numbers

Imaginary numbers

Equation of the logarithmic form

Equation of the exponential form of logarithm

Equation that illustrates the additive inverse property of real numbers

a + ( - a ) = 0

Identity element for addition

0

Identity element for multiplication

1

If a = b = a. This illustrates which axiom in algebra

Symmetric axiom

In algebra, the operation of root extraction is called

Evolution

If equals are added to equals, the result are equal.

Axiom

A mathematical argument that appears to prove something that we know is incorrect

Fallacy

"Googol" is one of the smallest large numbers. What does it stand for?

1 followed by a hundred of 0s

Irrational numbers are also known as?

Transcendental numbers

A number which is divisible by the sum of its own digit is called

Harshad number

Who introduced the multiplication symbol "X" in mathematics?

William Oughtred

Who introduced the symbol "=" for equality?

Robert Recorde

Who invented the symbol "n!" for factorial of n?

Christian Kramp

A recursive sequence where starting with the first two terms 1, 1, each new term is obtained by adding together the two previous terms

Fibonacci Sequence

A recursive sequence where starting with the first two terms 1, 3, each new term is obtained by adding together the two previous terms

Lucas Sequence

Formula for a_n of Fibonacci

A sequence of numbers called terms in which the difference between any two consecutive term is constant

Arithmetic Progression

Sequence of numbers called terms in which the ratio of each term to its preceding term remains the same

Geometric Progression

Sequence of numbers called terms in which each term is the reciprocal of the corresponding term of a series in arithmetic progression

Harmonic Progression

An array of numbers in the shape of an Isosceles triangle, having a 1 at the top and also at the ends of each line. All the other numbers are made by adding the pair of numbers closest to them in the line above.

Pascal's Triangle

An arrangement of a set of objects or things in a specific or definite order

Permutation

An arrangement of a set of objects or things where order does not count

Combination

A branch of mathematics that deals with the theory and method of collecting, organizing, presenting, analyzing, and interpeeting data.

Statistics

Defined as the totality of objects, individuals, or reactions, which have common observable characteristics

Population

Variable that can be obtained through counting like the number of deaths, births, students, marriages at any given time

Discrete variable

The variable whose values can never be exact no matter what we do in getting the measurement

Comtinuous variable

A branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles

Trigonometry

A triangle having no equal sides

Scalene Triangle

A triangle having at least two equal sides

Isosceles Triangle

A triangle having three equal sides

Equilateral Triangle

A triangle having a right angle

Right Triangle

A triangle having an obtuse angle

Obtuse Triangle

A triangle having three acute angles

Acute Triangle

The point of intersection of all the medians of a triangle

Centroid

The point of intersection of all angle bisectors in a triangle.

Incenter or Center of the inscribed circle in a triangle

The point of intersection of all perpendicular bisectors of a triangle

Circumcenter or Center of the circumscribed circle

The point of intersection of all the altitudes of a triangle

Orthocenter

Center of the escribed center

Excenter

A circle that can be constructed for any given triangle by passing through nine significant points defined from the triangle

Nine-point circle or Feuerbach's circle or Euler's Circle

A line that passes through centroid, circumcenter, orthocenter, and the center of a nine-point circle of a triangle

Euler's Line

A theorem relating the lengthof a median of a triangle to the lengths of its sides

Apollonius' Theorem

Binomial Theorem's General term of the expansion

nth term formula of an Arithmetic Progression

Sum formula of Arithmetic Progression

Arithmetic Progression Mean Formula

nth term formula of a Geometric Progression

Formula for the Sum of Finite Geometric Progression

Formula for the Sum of Infinite Geometric Progression

Formula for the Mean of a Geometric Progression

Formula for the Mean of an Harmonic Progression

Formula for the Apollonius' Theorem

A repetition of an experiment

Trial

The result of each trial

Outcome

The set of all possible outcomes

Sample Space

An element of a sample space or the specific outcome of the experiment

Sample Point

A subset of a sample space - one or more sample points

Event

Formula for the Probability that the event will not happen

Formula for the Mathematical Expectation

The ratio of the probability of an event's occuring to the probability of its not occurring

Odds

Two or more events that cannot occur simultaneously

Mutually Exclusive Events

Two or more events that one or the other or both can occur

Mutually Inclusive Events

Two events that its occurence or non-occurence of one has no effect on the probability of the occurence of the other

Independent Events

Two events that its occurence or non-occurence of one affect the probability of the occurence of the other.

Dependent Events

Given two events, A and B, if the probability of event B is affected of the occurence of event A, then the probability of event B is said to be conditional to that of A. In general, the condition that A occurs reduces the entire sample space to the sample space of A

Conditional Probability