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Function that counts distinct factors of a string
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
Complexity_function
Estimate of time taken for running an algorithm
size). In both cases, the time complexity is generally expressed as a function of the size of the input. Since this function is generally difficult to compute
Time_complexity
Set of problems in computational complexity theory
There are, however, many complexity classes defined in terms of other types of problems (e.g. counting problems and function problems) and using other
Complexity_class
Measure of algorithmic complexity
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
Kolmogorov_complexity
Amount of resources to perform an algorithm
input, the complexity is typically expressed as a function of the size n (in bits) of the input, and therefore, the complexity is a function of n. However
Computational_complexity
Measure of the structural complexity of a software program
immediately after the first command. Cyclomatic complexity may also be applied to individual functions, modules, methods, or classes within a program.
Cyclomatic_complexity
Measure of complexity of real-valued functions
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:
Rademacher_complexity
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
Proper_complexity_function
Algorithmic runtime requirements for common math procedures
the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Inherent difficulty of computational problems
In theoretical computer science and mathematics, computational complexity theory focuses on classifying computational problems according to their resource
Computational complexity theory
Computational_complexity_theory
Self-balancing binary search tree data structure
hashcodes, a red–black tree is used. This results in the improvement of time complexity of searching such an element from O ( m ) {\displaystyle O(m)} to O (
Red–black_tree
Attribute of machine learning models
complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target function.
Sample_complexity
Branch of computational complexity theory
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
Parameterized_complexity
Model of computational complexity
theoretical computer science, circuit complexity is a branch of computational complexity theory in which Boolean functions are classified according to the size
Circuit_complexity
Feature of systems that defy description
decrease time complexity (Greenlaw and Hoover 1998: 226), while inductive Turing machines can decrease even the complexity class of a function, language or
Complexity
Self-balancing binary search tree
implementation is usually called the "join-based" implementation. The complexity of each of union, intersection and difference is O ( m log ( n m + 1
AVL_tree
Study of resources used by an algorithm
computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them. Usually, this involves determining a function that
Analysis_of_algorithms
Data structure for priority queue operations
array-based heaps. Here are time complexities of various heap data structures. The abbreviation am. indicates that the given complexity is amortized, otherwise
Fibonacci_heap
Argument by proponents of intelligent design
Irreducible complexity (IC) is the argument that certain biological systems with multiple interacting parts would not function if one of the parts were
Irreducible_complexity
Function computable with bounded loops
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
Primitive_recursive_function
Complexity class used to classify decision problems
problems in computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems
NP_(complexity)
Computer memory needed by an algorithm
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
Space_complexity
Function in Boolean algebra
as the XOR function. The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions. The output
Parity_function
Complexity of sending information in a distributed algorithm
In theoretical computer science, communication complexity studies the amount of communication required to solve a problem when the input to the problem
Communication_complexity
Complexity class
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
FP_(complexity)
Mathematical function that can be computed by a program
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
Computable_function
Concept in complexity theory
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
Constructible_function
One of several equivalent definitions of a computable function
recursive functions with values in {0,1} is known in computational complexity theory as the complexity class R. The μ-recursive functions (or general
General_recursive_function
Transformation of one computational problem to another
In computability theory and computational complexity theory, a reduction is an algorithm for transforming one problem into another problem. A sufficiently
Reduction_(complexity)
In computational complexity theory, a sparse language is a formal language (a set of strings) such that the complexity function, counting the number of
Sparse_language
Quickly growing function
bounded by a primitive recursive function. The Ackermann function appears in the time complexity of some algorithms, such as vector addition systems and
Ackermann_function
Data structure in computer science
search tree. Since the data elements in each node are ordered, a search function will be directed to the correct subtree and eventually to the correct node
2–3_tree
Type of computer science algorithm
that space complexity also has varied choices in whether or not to count the index lengths as part of the space used. Often, the space complexity is given
In-place_algorithm
Class in computational complexity theory
}{=}}{\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
NC_(complexity)
Self-balancing binary search tree
such an implementation is usually called the join-based algorithms. The complexity of each of union, intersection and difference is O ( m log ( n m + 1
Weight-balanced_tree
Data structure that acts as a priority queue
the heap. Here are time complexities of various heap data structures. The abbreviation am. indicates that the given complexity is amortized, otherwise
Binomial_heap
Computational complexity of quantum algorithms
Quantum complexity theory is the subfield of computational complexity theory that deals with complexity classes defined using quantum computers, a computational
Quantum_complexity_theory
Rules out assigning to arbitrary functions their computational complexity
complexity theory, Blum's speedup theorem, first stated by Manuel Blum in 1967, is a fundamental theorem about the complexity of computable functions
Blum's_speedup_theorem
Measure of similarity and diversity between sets
the complexity to O ( k ) {\displaystyle O(k)} , where k {\displaystyle k} is the number of non-zero attributes. # Psuedocode for O(k) complexity function
Jaccard_index
Branch of mathematical logic
Descriptive complexity is a branch of computational complexity theory and of finite model theory that characterizes complexity classes by the type of logic
Descriptive_complexity_theory
Measures of how efficiently algorithms use resources
considered is running time, i.e. time complexity, but could also be memory or some other resource. Best case is the function which performs the minimum number
Best,_worst_and_average_case
Sequence in which every finite string appears as a subsequence
of 0s, and so it is not normal, but it is still disjunctive. The complexity function of a disjunctive sequence S over an alphabet of size k is pS(n) =
Disjunctive_sequence
Function used in computer cryptography
computational complexity theory, specifically the theory of polynomial time problems. This has nothing to do with whether the function is one-to-one;
One-way_function
Software programming optimization technique
has a specific name in computing: computational complexity. All functions have a computational complexity in time (i.e. they take time to execute) and in
Memoization
Abstract machine used to study decision problems
In complexity theory and computability theory, an oracle machine is an abstract machine that can query a black box called an oracle, which is able to give
Oracle_machine
Topics referred to by the same term
complexity of a particular problem in terms of all algorithms that solve it with computational resources (i.e., time or space) bounded by a function of
Algorithmic_complexity
Type of computational problem
In computational complexity theory, a function problem is a computational problem where a single output is expected for every input, but the output is
Function_problem
Application of complexity science to economics
Complexity economics, or economic complexity, is the application of complexity science to the problems of economics. It relaxes several common assumptions
Complexity_economics
Complexity class
Directed graphs") is a complexity class introduced by Christos Papadimitriou in 1994. PPAD is a subclass of TFNP based on functions that can be shown to
PPAD_(complexity)
Data structure for storing non-overlapping sets
{\displaystyle O(m\alpha (n))} (inverse Ackermann function) upper bound on the algorithm's time complexity. He also proved it to be tight. In 1979, he showed
Disjoint-set_data_structure
Kind of infinitely long sequence of characters
0 and 1. For an infinite sequence of symbols w, let σ(n) be the complexity function of w; i.e., σ(n) = the number of distinct contiguous subwords (factors)
Sturmian_word
Thesis on the nature of computability
Church–Turing thesis is a thesis about the nature of computable functions. It states that a function on the natural numbers can be calculated by an effective
Church–Turing_thesis
Class of problems solvable in polynomial time
In computational complexity theory, P, also known as PTIME or DTIME(nO(1)), is a fundamental complexity class. It contains all decision problems that can
P_(complexity)
Yes/no problem in computer science
computational complexity (sometimes called polynomial-time many-one reduction); for example, the complexity of the characteristic functions of an NP-complete
Decision_problem
Axioms in computational complexity theory
computable functions. The axioms were first defined by Manuel Blum in 1967. Importantly, Blum's speedup theorem and the gap theorem hold for any complexity measure
Blum_axioms
Mathematical function, inverse of an exponential function
Logarithms are commonplace in scientific formulae, and in measurements of the complexity of algorithms and of geometric objects called fractals. They help to describe
Logarithm
Cryptographic hash function
attack on SHA-0: collisions can be found with complexity 261, fewer than the 280 for an ideal hash function of the same size. In 2004, Biham and Chen found
SHA-1
Complexity class
polynomial time. Unlike most well-known complexity classes, it is not a class of decision problems but a class of function problems. The most difficult, representative
♯P
Statistical function
maximal Kolmogorov complexity. The Kolmogorov structure function of an individual data string expresses the relation between the complexity level constraint
Kolmogorov_structure_function
Attribute of a software system
Programming complexity (or software complexity) is a term that includes software properties that affect internal interactions. Several commentators distinguish
Programming_complexity
Logarithm to the base of the mathematical constant e
to a multi-valued function: see complex logarithm for more. The natural logarithm function, if considered as a real-valued function of a positive real
Natural_logarithm
Concept in theoretical computer science
problem, and complexity theory. The concept of a busy beaver was first introduced by Tibor Radó in his 1962 paper, "On Non-Computable Functions". One of the
Busy_beaver
Mathematical functions that quantify complexity
A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of
Height_function
In computational complexity theory, the complexity class FL is the set of function problems that can be solved by a deterministic Turing machine in a
FL_(complexity)
Topics referred to by the same term
sequence may refer to: A Sturmian word: a sequence with minimal complexity function A sequence used to determine the number of distinct real roots of
Sturmian_sequence
compression Advice (complexity) Amortized analysis Arthur–Merlin protocol Best and worst cases Busy beaver Circuit complexity Constructible function Cook-Levin
List of computability and complexity topics
List_of_computability_and_complexity_topics
Type of balanced binary search tree
recursively as: function size(node) is if node = nil then return 0 else return size(node->left) + size(node->right) + 1 end if end function Even a degenerate
Scapegoat_tree
science, and specifically computational complexity theory and circuit complexity, TC (Threshold Circuit) is a complexity class of decision problems that can
TC_(complexity)
Associative array for storing key–value pairs
constant time complexity ( O ( 1 ) {\displaystyle O(1)} ) of the operation in a hash table is presupposed on the condition that the hash function doesn't generate
Hash_table
Unit of measurement
Early and easy function points – Adjusts for problem and data complexity with two questions that yield a somewhat subjective complexity measurement; simplifies
Function_point
Provides lower bounds on the circuit complexity of boolean functions
bounds on the circuit complexity of boolean functions. A natural proof shows, either directly or indirectly, that a boolean function has a certain natural
Natural_proof
Index of articles associated with the same name
Query complexity in database theory, the complexity of evaluating a query on a database when measured as a function of the query size Query (complexity),
Query_complexity
problem whose calculation uses only elementary recursive functions belongs to the complexity class E L E M E N T A R Y {\displaystyle {\mathsf {ELEMENTARY}}}
ELEMENTARY
Complexity class (logarithmic space)
In computational complexity theory, L (also known as LSPACE, LOGSPACE or DLOGSPACE) is the complexity class containing decision problems that can be solved
L_(complexity)
Collection of loosely coupled services used to build computer applications
modularity, scalability, and adaptability. However, it introduces additional complexity, particularly in managing distributed systems and inter-service communication
Microservices
Unusual regions in protein sequences
Low complexity regions (LCRs) in protein sequences, also defined in some contexts as compositionally biased regions (CBRs), are regions in protein sequences
Low complexity regions in proteins
Low_complexity_regions_in_proteins
Mathematical function having a characteristic S-shaped curve or sigmoid curve
sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is the
Sigmoid_function
Class of computational problems
Counting problem (complexity) Function problem Search games Luca Trevisan (2010), Stanford University - CS254: Computational Complexity, Handout 2 , p.
Search_problem
Study of mathematical algorithms for optimization problems
quasiconvex objective functions and of great theoretical interest, particularly in establishing the polynomial time complexity of some combinatorial optimization
Mathematical_optimization
Category of cloud computing services
creation of excessively small components (e.g., functions) within a system, often resulting in increased complexity, operational overhead, and performance inefficiencies
Function_as_a_service
In circuit complexity, AC is a complexity class hierarchy. Each class, ACi, consists of the languages recognized by Boolean circuits with depth O ( log
AC_(complexity)
Concept in psychology
Cognitive complexity describes cognition along a simplicity-complexity axis. It is the subject of academic study in fields including personal construct
Cognitive_complexity
Mathematical logic concept
even in print, instead of the full phrase. In computational complexity theory, the complexity class containing all computably enumerable sets is RE. In
Computably_enumerable_set
Group theory function
algorithmic complexity of the word problem in groups. In particular, a finitely presented group has solvable word problem if and only if the Dehn function for
Dehn_function
Distance from a point to the boundary of a set
In mathematics and its applications, the signed distance function or signed distance field (SDF) is the orthogonal distance of a given point x to the boundary
Signed_distance_function
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Concept in computer science
In computational complexity theory, a branch of computer science, bounded-error probabilistic polynomial time (BPP) is the class of decision problems solvable
BPP_(complexity)
System composed of many interacting components
a system or component that by design or function or both is difficult to understand and verify. ...complexity is determined by such factors as the number
Complex_system
COCOMO, COSYSMO, maintainability index, cyclomatic complexity, function points, and Halstead complexity. It produces more accurate results than traditional
Weighted Micro Function Points
Weighted_Micro_Function_Points
PR is the complexity class of all primitive recursive functions—or, equivalently, the set of all formal languages that can be decided in time bounded
PR_(complexity)
generic case complexity can be found in the surveys. Let I be an infinite set of inputs for a computational problem. Definition 1. A size function on I is
Generic-case_complexity
Complexity measure in computer science
Abraham Lempel and Jacob Ziv. This complexity measure is related to Kolmogorov complexity, but the only function it uses is the recursive copy (i.e.
Lempel–Ziv_complexity
Unsolved problem in computer science
could be automated. The relation between the complexity classes P and NP is studied in computational complexity theory, the part of the theory of computation
P_versus_NP_problem
Exponential function of an exponential function
A double exponential function is a constant raised to the power of an exponential function. The general formula is f ( x ) = a b x = a ( b x ) {\displaystyle
Double_exponential_function
Implicit computational complexity (ICC) is a subfield of computational complexity theory that characterizes programs by constraints on the way in which
Implicit computational complexity
Implicit_computational_complexity
Set of all things that may be the input of a mathematical function
In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ( f ) {\displaystyle \operatorname
Domain_of_a_function
Complexity class
In computational complexity theory, the complexity class FNP is the function problem extension of the decision problem class NP. The name is somewhat
FNP_(complexity)
Process in digital electronics and integrated circuit design
representations of Boolean functions are often referred to as exact synthesis in the literature. Due to the computational complexity, exact synthesis is tractable
Logic_optimization
Mathematical theorem
series to a bracket series. Obtain the complexity index, formula parameters and series coefficient function. Complexity index is the number of integrand sums
Ramanujan's_master_theorem
Ordinal-indexed family of rapidly increasing functions
provide a natural way to classify computable functions according to rate-of-growth and computational complexity. Let μ be a large countable ordinal such that
Fast-growing_hierarchy
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
Boy/Male
Muslim
Of reddish hair, Complexion (1)
Girl/Female
Bengali, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
One of Complexion of Red Lotus
Girl/Female
Tamil
One of complexion of red lotus
Boy/Male
Indian, Nigerian, Sanskrit
Young Ruler; Black Complexion
Boy/Male
Australian, Irish
Small with Dark Hair or Complexion
Girl/Female
Hindu
A woman having a white complexion
Girl/Female
Muslim
Form, Figure, Complexion
Boy/Male
Hindu, Indian, Traditional
Krishna with a Golden Complexion
Boy/Male
Hindu, Indian, Kannada, Telugu
One who has a Moon Like Complexion
Boy/Male
Hindu, Indian
One Having a Soft Complexion
Girl/Female
Tamil
A woman having a white complexion
Boy/Male
Muslim
Of reddish hair or complexion.
Boy/Male
African, Hindu, Indian, Swahili
Building; Strength; One with Reddish Complexion
Girl/Female
Arabic, Muslim
Fair Complexion; Wife of the Prophet PBUH
Boy/Male
American, Australian, British, Chinese, Christian, English, Scottish, Swedish
A Ruddy Complexion; Red Haired; Surname
Boy/Male
Hindu, Indian
One with Pale White Complexion
Girl/Female
Hindu, Indian
Girl with a Golden Complexion
Boy/Male
Australian, British, English, Irish, Welsh
Fair; White; Friend; Complexion; Handsome
Girl/Female
Arabic, Muslim
Of Reddish Complexion
Girl/Female
Arabic, Australian, Indian, Muslim
Form; Figure; Complexion
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
Boy/Male
Hindu
Precious stone, Lord Murugan name
Girl/Female
American, British, English, Latin
From France; Free One
Boy/Male
Hindu, Indian, Sanskrit, Traditional
Black Lion; Lion of Time
Surname or Lastname
Welsh
Welsh : from the Welsh personal name Cyn(w)rig, Cynfrig, of unexplained origin.Scottish : reduced form of McKendrick. See also McHenry.English : from the Middle English personal name Cenric, Kendrich, Old English Cynerīc, composed of the elements cyne ‘royal’ + rīc ‘power’.
Male
English
Anglicized form of Hebrew Shelumiyel, SHELUMIEL means "friend of God." In the bible, this is the name of a prince of the tribe of Simeon.
Boy/Male
Hindu
Tokiss
Boy/Male
Irish
Abbot.
Male
Norwegian
Danish and Norwegian form of Old Norse Hákon, HÅKON means "high son."
Girl/Female
Hindu, Indian, Telugu
Disciplined
Female
English
Variant spelling of Irish Gaelic Aisling, AISLINN means "dream; vision."
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
COMPLEXITY FUNCTION
n.
The general appearance or aspect; as, the complexion of the sky; the complexion of the news.
n.
The state of being an accomplice; participation in guilt.
a.
Having a sickly complexion; pale.
a.
Of or pertaining to constitutional complexion.
n.
The state of being complex; complexity.
n.
Complexion; color; hue; likeness; form.
adv.
In a complex manner; not simply.
n.
A liquid cosmetic for the complexion.
n.
Complexity.
n.
The state of being complex; intricacy; entanglement.
n.
That which is complex; intricacy; complication.
n.
The state of being complex; complexity.
n.
Redness; complexion.
n.
One who has a sickly, pale complexion.
pl.
of Complexity
pl.
of Complicity
n.
A combination; a complex.
n.
The bodily constitution; the temperament; habitude, or natural disposition; character; nature.
n.
The color or hue of the skin, esp. of the face.
n.
Complexion; aspect; appearance.