Definition of Function Injective A function f is injective if and only if whenever f(x) = f(y), x = y. Surjective f is surjective if and only if f(A) = B A function f (from set A to B) is surjective if and only if for every y in B, there is at least one x in A such that f(x) = y Bijective
Thomas Bayes named a theory about conditional probability. He was British mathematician in 18th century. The theorem is Bayes’ Theorem. Bayes’ theorem is used in statistics, medicine and pharmacology, finance, etc. Definition of Bayes’ Theorem Bayes’ theorem is a probability theorem when we have known another probability before. If the probability of blue ball outcomes is
An Obtuse Angle is more than 90° but less than 180° Examples More Examples of obtuse angles Which is Obtuse Angle? Remember to look carefully at which angle you are being asked to name. The obtuse angle is the smaller angle. It is more than 90° and less than 180°. The larger angle is a
The factorial function (using symbol: !) says to multiply all whole numbers from our chosen number down to 1. So n! (read “n factorial”) means n × (n-1) × (n-2) × … × 3 × 2 × 1 Definition of Factorial What is the Factorial function? The factorial function is a function represented by an exclamation mark
Table of Factors Table of Factors for 1 to 100 (not including negatives) Number Factors 1 1 2 1, 2 3 1, 3 4 1, 2, 4 5 1, 5 6 1, 2, 3, 6 7 1, 7 8 1, 2, 4, 8 9 1, 3, 9 10 1, 2, 5, 10 11 1, 11
Definition Integration is used to find areas, volumes, central points and often is used to find the area underneath the graph of a function. Common Functions of Integration Function Integral Constant ∫ a dx ax + c Variable ∫ x dx Square ∫ x2 dx Reciprocal ∫ (1/x) dx ln|x| + c Exponential ∫
What Is Percentage Change? Percentage change can be applied to any quantity. Let’s say you are tracking the the grow of height. If the height increased, use the formula (New Height – Old Height)/Old Height Then, multiply that number by 100%. If the price decreased, use the formula (Old Height – New Height)/Old Height Then
Definitions When two lines are crossed by another line (Transversal), Consecutive Interior Angles are the pairs of angles on one side of the transversal, but inside the two lines. The 2 angles in purple (d and e) make one pair of consecutive interior angles, and the other 2 angles in red (c and f) make another
Definition If a × b = 0 then a = 0 or b = 0 or a = b = 0 A product of factors is zero if and only if one or more of the factors is zero. Standard Form of an Equation The Standard Form of an equation is: “some expression” = 0 Learn More Partial Sum General Form of
A series is the sum of the terms in a sequence (not the list of terms, like a sequence). The series with a finite number of terms is a easy to find the sum of the series just by adding the terms. However, for the series with an infinite number of terms, the summation is more difficult and complicated.