computer science, the complexity function of a word or string (a finite or infinite sequence of symbols from some alphabet) is the function that counts the...

theory (a subfield of computer science and mathematics), the Kolmogorov complexity of an object, such as a piece of text, is the length of a shortest computer...

There are, however, many complexity classes defined in terms of other types of problems (e.g. counting problems and function problems) and using other...

input, the complexity is typically expressed as a function n → f(n), where n is the size of the input and f(n) is either the worst-case complexity (the maximum...

immediately after the first command. Cyclomatic complexity may also be applied to individual functions, modules, methods, or classes within a program....

In both cases, the time complexity is generally expressed as a function of the size of the input.: 226  Since this function is generally difficult to...

A proper complexity function is a function f mapping natural numbers to natural numbers such that: f is nondecreasing; there exists a k-string Turing...

extended to real valued functions. Given a set A ⊆ R m {\displaystyle A\subseteq \mathbb {R} ^{m}} , the Rademacher complexity of A is defined as follows:: 326 ...

In complexity theory, a time-constructible function is a function f from natural numbers to natural numbers with the property that f(n) can be constructed...

decrease time complexity (Greenlaw and Hoover 1998: 226), while inductive Turing machines can decrease even the complexity class of a function, language or...

In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource...

Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were...

In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem...

time complexity is bounded above by a primitive recursive function of the input size. It is hence not particularly easy to devise a computable function that...

In computational complexity theory, the complexity class FP is the set of function problems that can be solved by a deterministic Turing machine in polynomial...

complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target function....

multiple parameters of the input or output. The complexity of a problem is then measured as a function of those parameters. This allows the classification...

theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size...

computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them. Usually, this involves determining a function that...

as the XOR function. The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions. The output...

set of computable functions. In computational complexity theory, the problem of computing the value of a function is known as a function problem, by contrast...

problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems...

In computational complexity theory, the complexity class FL is the set of function problems which can be solved by a deterministic Turing machine in a...

recursive functions with values in {0,1} is known in computational complexity theory as the complexity class R. The μ-recursive functions (or general...

}{=}}{\mathsf {P}}} ⁠ More unsolved problems in computer science In computational complexity theory, the class NC (for "Nick's Class") is the set of decision problems...

complexity of an algorithm or a data structure is the amount of memory space required to solve an instance of the computational problem as a function...

the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations...

Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic...

bounded by a primitive recursive function. The Ackermann function appears in the time complexity of some algorithms, such as vector addition systems and...

In computational complexity theory, L (also known as LSPACE, LOGSPACE or DLOGSPACE) is the complexity class containing decision problems that can be solved...