Math Glossary

•  Note: Glossaries only account for terms that do not require a full lesson for adequate explanation. To find a term, search at the homepage.

amplitude – Half the distance between maximum and minimum values (if it exists). (picture)
circumference – The measured distance around a circle.
commutative – For two random variables A and B, commutative means that A times B = B times A.
continuous – Where a range of numbers, for either a domain or range, can be any number.
coplanar – In the same plane, or in the same plane as.
dependent variable – Is the output. For a function y = f(x), y is the dependent variable. The range consists of the dependent variable values. In contrast to the independent variable.
denominator – Bottom part of a fraction. In contrast to numerator.
difference – A result obtained by means of subtraction. Refers to the process of subtraction.
direction – Often represented by an arrow, and defined by one or multiple angles with respect to an axis or multiple axes.
discrete – Quantity is not continuous, where one or more numbers are not applicable.
distributive – a (operation) (b + c) = a (operation) b + a (operation) c, where the operation can be for example, multiplacation or the dot product operator. If a concept is distributive then it behaves according to this relation.
domain – Set of all input numbers for which there is a valid solution for a function, where the input is the independent variable for which the function is dependent upon. In contrast to the range.
exp – Short for exponential function, exp(x) = ex. It's typically used when the power value is a considerably large equation. It is the inverse function to natural logarithm.
factorial notation – For a sequence of numbers from 1 to n, where the sequence is defined by 1 * 2 * 3 * ⋅⋅⋅ * (n−2) * (n−1) * n, the notation is represented by n!. The exclamation mark is read as 'factorial'. For example, 3! = 3*2*1 = 6, 2! = 2*1 = 2, 1! = 1. Also, 0! = 1.
function – A mathematical means of showing the relationship between two or more quantities.
independent variable – It is the input. For a function y = f(x), x is the independent variable. The domain consists of the independent variable values. In contrast to the dependent variable.
initial side – The starting position of a ray in creating an angle. (picture)
invertible – (a function that) has an inverse.
law of cosines – C2 = A2 + B2 - 2AB cos θ (picture)
law of sines – sin α/A = sin β/B = sin γ/C, where γ and C would refer to the unlabeled edge and angle. (picture)
linear function – A function that has a constant rate of increase of change. A function is linear if its slope, or rate of change, is the same everywhere.
numerator – Top part of a fraction. In contrast to denominator.
parallel – When two objects never meet no matter how far extended, or with common perpendiculars. Has similar, but different meaning in electric circuits here.
period – The time needed for the function to execute one complete cycle. For functions y = sin(x) and y = cos(x) the period is 2π. (picture)
perpendicular – Two objects separated by an angle of 90°.
phase – The time between one function and its shifted function. (picture)
power function – A function of the form nx, where n is a constant and x is a variable.
product – A result obtained by means of multiplication. Refers to the process of multiplication.
quotient – A result obtained by means of division. Refers to the process of division.
radian – One radian is equivalent to the angle formed due to the measured distance along an arc of a circle that is equal to that circle's radius. (picture)
radius – Half of a circle's diameter.
range – Set of all output numbers which result from the processing of the domain by the formula, where the output is the dependent variable that is dependent upon the domain and function.
ray – A half-line, which has an endpoint.
rectilinear – Moving in, consisting of, bounded by, or characterized by a straight line or lines.
scalar – Consists of magnitude only, it does NOT take into account direction.
slope – Rise divided by run. (picture)
sum – A result obtained by means of addition. Refers to the process of addition.
symmetric – For a 1d shape divided by a point, a 2d shape divided by an axis, or a 3d shape divided by a plane, if the two halves are exactly mirror images of each other, then they are symmetric. Other things may exhibit symmetry as well, such as mathematical functions.
terminal side – The position after rotating a ray in creating an angle. (picture)
variable – (verb) Subject to change. (noun) A quantity that may vary based on a function. Typically there are two kinds of variables: independent variable and dependent variable.
vertex – The endpoint of a ray. (picture)