Analytic Geometry > Trilinear coordinates, introduced by Möbius in 1827, is a way to identify a point in a plane with respect to a triangle. The coordinates are defined by measuring signed distances from a triangle’s sides. Basically, it is…

Calculus Definitions > An antilogarithm is another name for an exponential function. It reverses the procedure of taking a logarithm [1]. If x = log b, then antilog (x) = b. The word “antilogarithm” is just another word for “number”…

Types of Functions The probit function Φ(x) is the inverse of the standard normal cumulative distribution function. It maps a value for probability p onto the real number line for values of p between 0 ≤ p ≤ 1. The…

Types of Functions > What is the Error Function? The error function (erf) is a special function which gets its name for its importance in the study of errors. It is sometimes called the Gauss or Gaussian Error Function and…

Calculus Definitions > Contents: Gaussian Distribution Definition Gaussian Quadrature Gaussian Function What is a Gaussian Distribution? What is a Bell Curve or Gaussian Distribution? A bell curve is another name for a Gaussian Distribution or normal distribution curve (sometimes just…

Types of Functions > There’s a lot of confusion about the correct definition of an Into Function. It is sometimes defined as a function that [1] …maps X into Y if and only if for each x in X, f(x)…

Calculus Curves > The Witch of Agnesi is a special case of a cubic hyperbola that is roughly bell-shaped. The algebraic equation is xy2 = a2(a – x). Alternatively, the curve can be turned 90° so that it lies on…

Types of Functions > What is a Positive Function? A positive function has function values greater than zero (i.e., f(x) > 0). The domain (inputs) of the function can be negative, but the outputs (y-values) must be greater than zero.…

Calculus Definitions > The Briggs logarithm (also called the Briggsian logarithm, common logarithm, or decadic logarithm) is a logarithm to base 10; the natural logarithm (to base e) are called Naperian logarithms [1]. Note though, that the Briggs logarithm is…

Types of Functions > The term broken function has several meanings in calculus. The quotient of two functions. As this is a ratio, the denominator cannot be zero [1]. The term “broken function” may also be used less formally to…