An annuity is a series of payments made at equal intervals. Examples of annuities abound: Mortgage payments, car loan payments, leases, rent payments, insurance pay-outs, and so on. A regular annuity is simply an annuity where the first payment is
made at the end of the period.
There are 360 degrees in any circle. The ratio of the angle ACB to 360 degrees will be 100 / 360 = 5 / 18. Thus, the length of the arc AB will be 5 / 18 of the circumference of the circle, which equals 2πr, according to
the formula for circumference. Length of arc AB = (5 / 18)(2πr) = (5 / 18)(2π(18)) = 10π.
An argument of a function is a specific input in the function, also known as an independent variable. When it is clear from the context which argument is meant, the argument is often denoted by the abbreviation arg.
Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations
on them—addition, subtraction, multiplication and division.
Arithmetic mean, or simply the mean or average when the context is clear, is the sum of a collection of numbers divided by the count of numbers in the collection
The median is the value separating the higher half from the lower half of a data sample. For a data set, it may be thought of as the "middle" value. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6,
the fourth largest, and also the fourth smallest, number in the sample.
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the
most frequently occurring value on the list.
An equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the coefficient and power of the variable in each term correspond to the coefficient and order
of a derivative in the original equation.
The average value is defined as “the average of all instantaneous values during one alternation”. That is, the ratio of the sum of all considered instantaneous values to the number of instantaneous values in one alternation period. Whereas the average
value for the entire cycle of alternating quantity is zero.
A fixed reference line for the measurement of coordinates. In a two-dimensional coordinate system, a horizontal axis is often referred to as the x-axis and a vertical axis
is referred to as the y-axis.
Back substitution is a method for solving linear systems, especially when the system is in upper triangular form. It involves solving for variables one by one, starting from the bottom and substituting known values into corresponding equations until all variables are determined.
An exponential function with base b is a function of the form: f(x) = bx, where b> 0, b = 1 is a real number. Since bx can be defined for all real numbers r, the domain of an exponential function is all real numbers. The range of bx is all real numbers greater than 0.
The number e is a mathematical constant that is the base of the natural logarithm: the unique number whose natural logarithm is equal to one. It is approximately equal to 2.71828 and is the limit of ⁿ as n approaches infinity, an expression that arises in the
study of compound interest.
A function which relates each member of a set S (the domain) to a separate and distinct member of another set T (the range), where each member in T also has a corresponding
member in S.