Search results
Results from the WOW.Com Content Network
In engineering, a transfer function (also known as system function [1] or network function) of a system, sub-system, or component is a mathematical function that models the system's output for each possible input. [2] [3] [4] It is widely used in electronic engineering tools like circuit simulators and control systems.
This definition makes sense if x is an integrable function (in L 1), a rapidly decreasing distribution (in particular, a compactly supported distribution) or is a finite Borel measure. If x is the distribution function of a random variable on the real line, then the n th convolution power of x gives the distribution function of the sum of n ...
A popular window function, the Hann window. Most popular window functions are similar bell-shaped curves. In signal processing and statistics, a window function (also known as an apodization function or tapering function [1]) is a mathematical function that is zero-valued outside of some chosen interval. Typically, window functions are ...
Function object: with a single method (in C++, the function operator, operator()) it acts much like a function; Immutable object: does not change state after creation; First-class object: can be used without restriction; Container object: contains other objects; Factory object: creates other objects
As in the one-variable case, it is possible to define the composition of δ with a bi-Lipschitz function [43] g: R n → R n uniquely so that the following holds (()) (()) | ′ | = () for all compactly supported functions f. Using the coarea formula from geometric measure theory, one can also define the composition of the delta function with a ...
First introduced for use at IBM in 1966, the APL\360 [21] [22] [23] system was a multi-user interpreter. The ability to programmatically communicate with the operating system for information and setting interpreter system variables was done through special privileged "I-beam" functions, using both monadic and dyadic operations. [24]
The auxiliary function () is known as the cavity distribution function. [5]: Table 4.1 It has been shown that for classical fluids at a fixed density and a fixed positive temperature, the effective pair potential that generates a given g ( r ) {\displaystyle g(r)} under equilibrium is unique up to an additive constant, if it exists.
The terminology advanced and retarded is especially useful when the variable x corresponds to time. In such cases, the solution provided by the use of the retarded Green's function depends only on the past sources and is causal whereas the solution provided by the use of the advanced Green's function depends only on the future sources and is ...