smooth approximation
1Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …
2Coopmans Approximation — The Coopmans Approximation is a method for approximating a fractional order integrator in a continuous process with constant space complexity. The most correct and accurate methods for calculating the fractional integral require a record of all… …
3Stationary phase approximation — In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals taken over n dimensional space Rn where i is the imaginary unit. Here f and g are real valued smooth functions. The… …
4Absolute value — For the philosophical term, see Value (ethics). For the Akrobatik album, see Absolute Value (album). In mathematics, the absolute value (or modulus) |a| of a real number a is the numerical value of a without regard to its sign. So, for example,… …
5Heaviside step function — The Heaviside step function, H , also called the unit step function, is a discontinuous function whose value is zero for negative argument and one for positive argument.It seldom matters what value is used for H (0), since H is mostly used as a… …
6Gini coefficient — The Gini coefficient is a measure of statistical dispersion most prominently used as a measure of inequality of income distribution or inequality of wealth distribution. It is defined as a ratio with values between 0 and 1: A low Gini coefficient …
7Sign function — In mathematics, the sign function is a mathematical function that extracts the sign of a real number. To avoid confusion with the sine function, this function is often called the signum function (after the Latin form of sign ).In mathematical… …
8Electromagnetic reverberation chamber — A look inside the (large) Reverberation Chamber at the Otto von Guericke University Magdeburg, Germany. On the left side is the vertical Mode Stirrer (or Tuner), that changes the electromagnetic boundaries to ensure a (statistically) homogeneous… …
9Natural neighbor — interpolation. The colored circles. which represent the interpolating weights, wi, are generated using the ratio of the shaded area to that of the cell area of the surrounding points. The shaded area is due to the insertion of the point to be… …
10Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …
