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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 |
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Rational and irrational numbers taken together |
Real numbers |
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The square roots of negative numbers |
Imaginary numbers |
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Equation of the logarithmic form |
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Equation of the exponential form of logarithm |
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Equation that illustrates the additive inverse property of real numbers |
a + ( - a ) = 0 |
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Identity element for addition |
0 |
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Identity element for multiplication |
1 |
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If a = b = a. This illustrates which axiom in algebra |
Symmetric axiom |
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In algebra, the operation of root extraction is called |
Evolution |
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If equals are added to equals, the result are equal. |
Axiom |
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A mathematical argument that appears to prove something that we know is incorrect |
Fallacy |
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"Googol" is one of the smallest large numbers. What does it stand for? |
1 followed by a hundred of 0s |
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Irrational numbers are also known as? |
Transcendental numbers |
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A number which is divisible by the sum of its own digit is called |
Harshad number |
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Who introduced the multiplication symbol "X" in mathematics? |
William Oughtred |
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Who introduced the symbol "=" for equality? |
Robert Recorde |
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Who invented the symbol "n!" for factorial of n? |
Christian Kramp |
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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 |
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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 |
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Formula for a_n of Fibonacci |
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A sequence of numbers called terms in which the difference between any two consecutive term is constant |
Arithmetic Progression |
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Sequence of numbers called terms in which the ratio of each term to its preceding term remains the same |
Geometric Progression |
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Sequence of numbers called terms in which each term is the reciprocal of the corresponding term of a series in arithmetic progression |
Harmonic Progression |
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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 |
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An arrangement of a set of objects or things in a specific or definite order |
Permutation |
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An arrangement of a set of objects or things where order does not count |
Combination |
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A branch of mathematics that deals with the theory and method of collecting, organizing, presenting, analyzing, and interpeeting data. |
Statistics |
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Defined as the totality of objects, individuals, or reactions, which have common observable characteristics |
Population |
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Variable that can be obtained through counting like the number of deaths, births, students, marriages at any given time |
Discrete variable |
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The variable whose values can never be exact no matter what we do in getting the measurement |
Comtinuous variable |
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A branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles |
Trigonometry |
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A triangle having no equal sides |
Scalene Triangle |
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A triangle having at least two equal sides |
Isosceles Triangle |
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A triangle having three equal sides |
Equilateral Triangle |
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A triangle having a right angle |
Right Triangle |
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A triangle having an obtuse angle |
Obtuse Triangle |
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A triangle having three acute angles |
Acute Triangle |
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The point of intersection of all the medians of a triangle |
Centroid |
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The point of intersection of all angle bisectors in a triangle. |
Incenter or Center of the inscribed circle in a triangle |
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The point of intersection of all perpendicular bisectors of a triangle |
Circumcenter or Center of the circumscribed circle |
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The point of intersection of all the altitudes of a triangle |
Orthocenter |
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Center of the escribed center |
Excenter |
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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 |
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A line that passes through centroid, circumcenter, orthocenter, and the center of a nine-point circle of a triangle |
Euler's Line |
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A theorem relating the lengthof a median of a triangle to the lengths of its sides |
Apollonius' Theorem |
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Binomial Theorem's General term of the expansion |
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nth term formula of an Arithmetic Progression |
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Sum formula of Arithmetic Progression |
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Arithmetic Progression Mean Formula |
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nth term formula of a Geometric Progression |
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Formula for the Sum of Finite Geometric Progression |
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Formula for the Sum of Infinite Geometric Progression |
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Formula for the Mean of a Geometric Progression |
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Formula for the Mean of an Harmonic Progression |
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Formula for the Apollonius' Theorem |
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A repetition of an experiment |
Trial |
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The result of each trial |
Outcome |
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The set of all possible outcomes |
Sample Space |
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An element of a sample space or the specific outcome of the experiment |
Sample Point |
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A subset of a sample space - one or more sample points |
Event |
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Formula for the Probability that the event will not happen |
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Formula for the Mathematical Expectation |
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The ratio of the probability of an event's occuring to the probability of its not occurring |
Odds |
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Two or more events that cannot occur simultaneously |
Mutually Exclusive Events |
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Two or more events that one or the other or both can occur |
Mutually Inclusive Events |
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Two events that its occurence or non-occurence of one has no effect on the probability of the occurence of the other |
Independent Events |
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Two events that its occurence or non-occurence of one affect the probability of the occurence of the other. |
Dependent Events |
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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 |
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