definitions of a time-constructible function. In the first definition, a function f {\displaystyle f} is called time-constructible if there exists a Turing...

coordinate system, a point is constructible if and only if its Cartesian coordinates are both constructible numbers. Constructible numbers and points have also...

B over A Constructible universe, Kurt Gödel's model L of set theory, constructed by transfinite recursion Constructible function, a function whose values...

is constructible if any root of the nth cyclotomic polynomial is constructible. Restating the Gauss–Wantzel theorem: A regular n-gon is constructible with...

In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted by L , {\displaystyle L,} is a particular class...

notion of a time-constructible function. A function f : N → N {\displaystyle f:\mathbb {N} \rightarrow \mathbb {N} } is time-constructible if there exists...

The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. The axiom is usually written...

common functions that we work with are space-constructible, including polynomials, exponents, and logarithms. For every space-constructible function f :...

assumed. □ The above theorem implies the necessity of the space-constructible function assumption in the space hierarchy theorem. L = DSPACE(O(log n))...

In algebraic geometry, the Behrend function of a scheme X, introduced by Kai Behrend, is a constructible function ν X : X → Z {\displaystyle \nu _{X}:X\to...

sorted array sorted list sort in-place sort merge soundex space-constructible function spanning tree sparse graph sparse matrix sparsification sparsity...

NTIME is also related to DSPACE in the following way. For any time constructible function t(n), we have N T I M E ( t ( n ) ) ⊆ D S P A C E ( t ( n ) ) {\displaystyle...

mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...

mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one...

mathematics, the gamma function (represented by Γ, capital Greek letter gamma) is the most common extension of the factorial function to complex numbers....

mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...

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...

pairing function, and π 1 , π 2 {\displaystyle \pi _{1},\pi _{2}} be its projection functions for inversion. Theorem: Any function constructible via the...

topology and integral geometry that integrates constructible functions and more recently definable functions by integrating with respect to the Euler characteristic...

complexity functions, then f + g, fg, and 2f are also proper complexity functions. Similar notions include honest functions, space-constructible functions, and...

Function-Spacer-Lipid (FSL) Kode constructs (Kode Technology) are amphiphatic, water dispersible biosurface engineering constructs that can be used to...

can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive...

rational number, is constructible. The positive square root of 2 is constructible. However, the cube root of 2 is not constructible; this is related to...

computer programming, a function object is a construct allowing an object to be invoked or called as if it were an ordinary function, usually with the same...

Lyapunov functions for linear systems, and conservation laws can often be used to construct Lyapunov functions for physical systems. A Lyapunov function for...

A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability...

cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,...

In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces...

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...