Search results
Results From The WOW.Com Content Network
In mathematics, a Gaussian function, ... For the general form of the equation the coefficient A is the height of the peak and (x 0, y 0) is the center of the blob.
All these extensions are also called normal or Gaussian laws, so a certain ambiguity in names exists. The multivariate normal distribution describes the Gaussian law in the k-dimensional Euclidean space. A vector X ∈ R k is multivariate-normally distributed if any linear combination of its components Σ k j=1 a j X j has a (univariate) normal ...
The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function ... By taking the square root of the Wallis formula, ...
The equation above reduces to that of the univariate normal distribution if is a matrix (i.e., a single real number). The circularly symmetric version of the complex normal distribution has a slightly different form.
For a Gaussian process, all sets of values have a multidimensional Gaussian distribution. Analogously, X ( t ) {\displaystyle X(t)} is a Student t process on an interval I = [ a , b ] {\displaystyle I=[a,b]} if the correspondent values of the process X ( t 1 ) , …
The Gaussian function is the archetypal example of a bell shaped function. A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve. These functions are typically continuous or smooth, asymptotically approach zero for large negative/positive x, and have a single, unimodal maximum at ...
The closed surface is also referred to as Gaussian surface. [ 5 ] Gauss's law has a close mathematical similarity with a number of laws in other areas of physics, such as Gauss's law for magnetism and Gauss's law for gravity .
In wireless communication, "the local-mean power expressed in logarithmic values, such as dB or neper, has a normal (i.e., Gaussian) distribution." [90] Also, the random obstruction of radio signals due to large buildings and hills, called shadowing, is often modeled as a log-normal distribution.