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The nilpotency of N can be exploited when calculating f ( A) where f is a complex analytic function. For example, in principle the Jordan form could give a closed-form expression for the exponential exp ( A ).
Q-function. A plot of the Q-function. In statistics, the Q-function is the tail distribution function of the standard normal distribution. [1] [2] In other words, is the probability that a normal (Gaussian) random variable will obtain a value larger than standard deviations. Equivalently, is the probability that a standard normal random ...
In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. Often, it is one which provides the simplest representation of an object and allows it to be identified in a unique way. The distinction between "canonical" and "normal ...
A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve . A common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: [1] Other standard sigmoid functions are given in the Examples section. In some fields, most notably in the context of ...
Skolem normal form. In mathematical logic, a formula of first-order logic is in Skolem normal form if it is in prenex normal form with only universal first-order quantifiers. Every first-order formula may be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization (sometimes spelled ...
Gaussian function. In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form. and with parametric extension for arbitrary real constants a, b and non-zero c. It is named after the mathematician Carl Friedrich Gauss. The graph of a Gaussian is a characteristic symmetric "bell curve" shape.
Form, Fit, and Function (F3 or FFF) is a concept used in various industries, including manufacturing, engineering, and architecture, to describe aspects of a product's design, performance, and compliance to a specification. F3 refers to a set of characteristics or requirements that are essential for the design and compatibility of products ...
The general form of its probability density function is The parameter is the mean or expectation of the distribution (and also its median and mode ), while the parameter is the variance. The standard deviation of the distribution is . A random variable with a Gaussian distribution is said to be normally distributed, and is called a normal deviate .