A universal function is a function that can, in some defined way, imitate all other functions. This occurs in several contexts:
In computer science, a universal function is a computable function capable of calculating any other computable function. It is shown to exist by the utm theorem.
In cryptography, a universal one-way function is a function that is known to be one-way if one-way functions exist.
In mathematics, a universal function is one that contains subregions that approximate every holomorphic function to arbitrary accuracy. The Riemann zeta function (and some others) have this property, as described in Zeta function universality.
Topics referred to by the same term
This disambiguation page lists articles associated with the title Universal function. If an internal link led you here, you may wish to change the link to point directly to the intended article.
and 25 Related for: Universal function information
A universalfunction is a function that can, in some defined way, imitate all other functions. This occurs in several contexts: In computer science, a...
computable universalfunction, which is capable of calculating any other computable function. The universalfunction is an abstract version of the universal Turing...
neural networks, universal approximation theorems are theorems of the following form: Given a family of neural networks, for each function f {\displaystyle...
proven to be a universalfunction approximator. This is known as the Universal Approximation Theorem. The identity activation function does not satisfy...
Uniform Function Call Syntax (UFCS) or Uniform Call Syntax (UCS) or sometimes UniversalFunction Call Syntax is a programming language feature in D, Nim...
computing, universal hashing (in a randomized algorithm or data structure) refers to selecting a hash function at random from a family of hash functions with...
The concept of universal wavefunction was introduced by Hugh Everett in his 1956 PhD thesis draft The Theory of the Universal Wave Function. It later received...
of the universal Turing machine is the universalfunction, a computable function which can be used to calculate any other computable function. The UTM...
as Carmichael's λ function, the reduced totient function, and the least universal exponent function. The following table compares the first 36 values...
universality of zeta functions is the remarkable ability of the Riemann zeta function and other similar functions (such as the Dirichlet L-functions)...
help of a readout, it can be proven the liquid state machine is a universalfunction approximator using Stone–Weierstrass theorem. Echo state network:...
Quantifier article. The negation of a universally quantified function is obtained by changing the universal quantifier into an existential quantifier and negating...
called a universal Turing machine (UTM, or simply a universal machine). Another mathematical formalism, lambda calculus, with a similar "universal" nature...
cellular signals. One of these active processes is protein synthesis, a universalfunction in which RNA molecules direct the synthesis of proteins on ribosomes...
A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...
U:2^{*}\to 2^{*}} be a computable function mapping finite binary strings to binary strings. It is a universalfunction if, and only if, for any computable...
Universal Television LLC (abbreviated as UTV) is an American television production company that is a subsidiary of Universal Studio Group, a division of...
Universal Music Group N.V. (often abbreviated as UMG and referred to as Universal Music Group or Universal Music) is a Dutch–American multinational music...
and matrices, along with a large collection of high-level mathematical functions to operate on these arrays. The predecessor of NumPy, Numeric, was originally...
anyone who thinks they have come up with a universalfunction for junk DNA. Whatever your proposed function, ask yourself this question: Can I explain...
are universalfunctions of the dimensionless ratio T / T E {\displaystyle T/T_{\rm {E}}} . Similarly, the Debye model predicts a universalfunction of...
In probability and statistics, the quantile function outputs the value of a random variable such that its probability is less than or equal to an input...
considered to be a universal object that is, again, not itself a set. It has all sets as elements, and also includes arrows for all functions from one set to...
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists...
Global Information