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Classes of partial recursive functions
In computability theory, index sets describe classes of computable functions; specifically, they give all indices of functions in a certain class, according
Index_set_(computability)
Study of computable functions and Turing degrees
terms of knowledge and methods, mathematical computability theorists study the theory of relative computability, reducibility notions, and degree structures;
Computability_theory
Commercial at (computing) – Commodore 1541 – Commodore 1581 – Commodore 64 – Common logarithm – Compact disc – Compiler – Computability theory – Computational
Index_of_computing_articles
Family of related bitwise operations on machine words
complementary operation that finds the index or position of the most significant set bit is log base 2, so called because it computes the binary logarithm ⌊log2(x)⌋
Find_first_set
Concept in computability theory
In computability theory, a Turing reduction from a decision problem A {\displaystyle A} to a decision problem B {\displaystyle B} is an oracle machine
Turing_reduction
Processor executing one instruction in minimal clock cycles
reduced instruction set computer (RISC) chips. Explicitly parallel instruction computing No instruction set computing One-instruction set computer Very long
Reduced instruction set computer
Reduced_instruction_set_computer
Ordered listing of items in collection
computability theory one often considers countable enumerations with the added requirement that the mapping from N {\displaystyle \mathbb {N} } (set of
Enumeration
In computability theory, a subset of the natural numbers is called simple if it is computably enumerable (c.e.) and co-infinite (i.e. its complement is
Simple_set
Model that describes the programmable interface of a computer processor
System/360 Branch on count (BCT, BCTR) Branch on index high (BXH) Branch on index low or equal (BXLE) Instruction sets may be categorized by the maximum number
Instruction_set_architecture
Theorem in computability theory
In computability theory, Kleene's recursion theorems are a pair of fundamental results about the application of computable functions to their own descriptions
Kleene's_recursion_theorem
American stock market index composed of 30 industry leaders
Average (DJIA), Dow Jones, or simply the Dow (/ˈdaʊ/), is a stock market index of 30 prominent companies listed on stock exchanges in the United States
Dow_Jones_Industrial_Average
Generalization of Rice's theorem
In computability theory, the Rice–Shapiro theorem is a generalization of Rice's theorem, named after Henry Gordon Rice and Norman Shapiro. It states that
Rice–Shapiro_theorem
Turing machine that halts for any input
In computability theory, a decider is a Turing machine that halts for every input. A decider is also called a total Turing machine as it represents a
Decider_(Turing_machine)
Generalization of Turing computability
In computability theory, hyperarithmetic theory is a generalization of Turing computability. It has close connections with definability in second-order
Hyperarithmetical_theory
Limit of a uniformly computable sequence of functions
computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in
Computation_in_the_limit
Academic subfield of computer science
a Turing machine. Much of computability theory builds on the halting problem result. Another important step in computability theory was Rice's theorem
Theory_of_computation
Type of database index
document or a set of documents (named in contrast to a forward index, which maps from documents to content). The purpose of an inverted index is to allow
Inverted_index
Collection of mathematical objects
. When the index set is { 1 , 2 } {\displaystyle \{1,2\}} , an indexed family is called an ordered pair. When the index set is the set of the n {\displaystyle
Set_(mathematics)
Measure of similarity and diversity between sets
The Jaccard index is a statistic used for gauging the similarity and diversity of sample sets. It is defined in general taking the ratio of two sizes
Jaccard_index
Large-cap American stock market index
stock market index consisting of the stocks of 233 U.S. companies, computed weekly. Three years later, it developed a 90-stock index, computed daily. In
S&P_500
Pakistani stock market index
Exchange (PSX) over a period. In determining representative companies to compute the index on, companies with the highest market capitalization are selected
KSE_100_Index
Topics referred to by the same term
Look up set in Wiktionary, the free dictionary. Set, The Set, SET or SETS may refer to: Set (mathematics), a collection of elements Category of sets, the
Set
Singaporean stock market index
FTSE Straits Times Index (abbreviation: STI) is a capitalisation-weighted stock market index that is regarded as the benchmark index for the stock market
Straits_Times_Index
Measures the relative position of nations' and regions' peacefulness
The Global Peace Index (GPI) is a report produced by the Australia-based NGO Institute for Economics & Peace (IEP) which measures the relative position
Global_Peace_Index
Normalized measure of the dispersion of a probability distribution
reserved for windowed data (the mean and variance are computed over a subpopulation), where the index of dispersion is used in the special case where the
Index_of_dispersion
Production indices are computed mainly as fisher indexes with the weights based on annual estimates of value added. Since Fisher indexes only preserve growth
Industrial_production_index
Problem in computer science
In computability theory, the halting problem is the decision problem of determining, from a description of an arbitrary computer program and an input
Halting_problem
instruction set (the set of machine instructions that comprises a computer's machine language), and the input/output model. In the early decades of computing, there
Comparison of instruction set architectures
Comparison_of_instruction_set_architectures
Axiom of set theory
{\displaystyle I} -indexed family ( S i ) i ∈ I {\displaystyle (S_{i})_{i\in I}} of nonempty sets, there exists an I {\displaystyle I} -indexed set ( x i ) i ∈
Axiom_of_choice
Type of logical system
that domain, and a set of axioms believed to hold about them. "Theory" is sometimes understood in a more formal sense as just a set of sentences in first-order
First-order_logic
In computer graphics, a finite set of available colors
reducing the set of possible colors that are to be handled at once (often using adaptive methods). Each possible color is assigned an index, which allows
Palette_(computing)
Branch of mathematics that studies sets
Matthew; Kanamori, Akihiro (eds.), "Handbook of Set Theory", handbook.assafrinot.com, Unofficial index maintained by Assaf Rinot, retrieved 2026-05-12
Set_theory
Number assigned to food
The glycemic (glycaemic) index (GI; /ɡlaɪˈsiːmɪk/) is a number from 0 to 100 assigned to a food, with pure glucose arbitrarily given the value of 100
Glycemic_index
Blue chip stock market index
Frankfurt trading venue. The L-DAX Index basis is the "floor" trade (Parketthandel) at the Frankfurt stock exchange; it is computed daily between 09:00 and 17:45
DAX
Mathematical set that can be enumerated
each element of each set a tuple, then we assign each tuple an index using a variant of the triangular enumeration we saw above: Index Tuple Element 0 (
Countable_set
Indicator in technical analysis
The relative strength index (RSI) is a technical indicator used in the analysis of financial markets. It is intended to chart the current and historical
Relative_strength_index
Data structure for storing non-overlapping sets
(non-overlapping) sets. Equivalently, it stores a partition of a set into disjoint subsets. It provides operations for adding new sets, merging sets (replacing
Disjoint-set_data_structure
Ordinal-indexed family of rapidly increasing functions
In computability theory, computational complexity theory and proof theory, a fast-growing hierarchy (also called an extended Grzegorczyk hierarchy, or
Fast-growing_hierarchy
In computability theory, computational complexity theory and proof theory, the slow-growing hierarchy is an ordinal-indexed family of slowly increasing
Slow-growing_hierarchy
Normalized average of price changes for goods and services
relative to a base period set at 100. Price indices serve multiple purposes. Broad indices, like the Consumer price index, reflect the economy’s general
Price_index
Statistical measure of change
the true cost-of-living index. While that ideal index relies on an uncalculable formula, superlative ones can be computed and provide a close match
Index_(economics)
Data type that represents an ordered collection of elements (values or variables)
any other element. These axioms do not place any constraints on the set of valid index tuples I, therefore this abstract model can be used for triangular
Array_(data_type)
Measure of air pollution
concentration standard for each pollutant, as set by the NEPM. These maximum concentration standards are: The air quality index (AQI) for an individual location is
Air_quality_index
Theorem in computability theory
In computability theory, Rice's theorem states that all non-trivial semantic properties of programs are undecidable. A semantic property is one about
Rice's_theorem
Method for creating, maintaining, and manipulating computer files
originally stored sequentially in key sequence. Secondary set(s) of records, known as indexes, contain pointers to the location of each record, allowing
ISAM
United Nations index for gender inequality
The Gender Inequality Index (GII) is an index for the measurement of gender disparity that was introduced in the 2010 Human Development Report 20th anniversary
Gender_Inequality_Index
500 Index, a United States stock market index. Launched by the Standard Statistics Company in 1926 as the successor to its 1923 233-stock weekly index, the
Closing milestones of the S&P 500
Closing_milestones_of_the_S&P_500
Overview of and topical guide to algorithms
mathematical model of computation used in computability theory Euclidean algorithm — ancient algorithm for computing the greatest common divisor Muhammad ibn
Outline_of_algorithms
Concept in computability theory
In computability theory, admissible numberings are enumerations (numberings) of the set of partial computable functions that can be converted to and from
Admissible_numbering
Finite or infinite ordered list of elements
a set, the order does matter. The notion of a sequence can be generalized to an indexed family, defined as a function from an arbitrary index set. For
Sequence
Type of data structure
such that the position (memory address) of each element can be computed from its index tuple by a mathematical formula. The simplest type of data structure
Array_(data_structure)
Set of elements common to all of some sets
set, and A i {\displaystyle A_{i}} is a set for every i ∈ I . {\displaystyle i\in I.} In the case that the index set I {\displaystyle I} is the set of
Intersection_(set_theory)
Theorem in computability theory
In computability theory, Selman's theorem is a theorem relating enumeration reducibility with enumerability relative to oracles. It is named after Alan
Selman's_theorem
Overview of and topical guide to logic
researched. Alpha recursion theory Arithmetical set Church–Turing thesis Computability logic Computable function Computation Decision problem Effective
Outline_of_logic
Mathematical theory
that Solomonoff's induction is uncomputable. In fact, he showed that computability and completeness are mutually exclusive: any complete theory must be
Solomonoff's theory of inductive inference
Solomonoff's_theory_of_inductive_inference
Concept in computability theory
In computability theory, two disjoint sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated"
Computably_inseparable
Probabilistic algorithm for computing discrete logarithms
In computational number theory, the index calculus algorithm is a probabilistic algorithm for computing discrete logarithms. Dedicated to the discrete
Index_calculus_algorithm
Statistics of the U.S. Bureau of Labor Statistics
being the Personal consumption expenditures price index (PCE) price index, which measures a more broad set of goods and services, among other differences
Consumer price index in the United States
Consumer_price_index_in_the_United_States
Fractal sets in complex dynamics of mathematics
"Mandelbrot Set and Indexing of Julia Sets". cut-the-knot. Algebra curriculum. Demidov, Evgeny (2003). "The Mandelbrot and Julia sets' anatomy". Beardon
Julia_set
Measure of unsolvability
a set of natural numbers measures the level of algorithmic unsolvability of the set. The concept of Turing degree is fundamental in computability theory
Turing_degree
American large-cap stock market index
Index (VIX), which was computed based on the price of S&P 100 options (at the time these were by far the most heavily traded index options). Then in 2003
S&P_100
Technique for increasing rendering speed in computer graphics
whereby a candidate set of potentially visible polygons are pre-computed, then indexed at run-time in order to quickly obtain an estimate of the visible
Potentially_visible_set
Axiomatic set theories based on the principles of mathematical constructivism
computable, or programmatically listable in praxis. In computability theory, the computable sets are ranges of non-decreasing total functions in the recursive
Constructive_set_theory
Mathematical set formed from two given sets
More generally still, one can define the Cartesian product of an indexed family of sets. The Cartesian product is named after René Descartes, whose formulation
Cartesian_product
Mapping arbitrary data to fixed-size values
hashes. The values are usually used to index a fixed-size table called a hash table. Use of a hash function to index a hash table is called hashing or scatter-storage
Hash_function
Instruction set extension by Intel
new set of permute instructions have been added for full two input permutations. They all take three arguments, two source registers and one index; the
AVX-512
Manner of referring to elements of arrays or tensors
take a given range of values. This expression represents a set of equations, one for each index. If the vectors each have n elements, meaning i = 1,2,…n
Index_notation
Measure of a scholar's citation impact
index is based on the set of the scientist's most cited papers and the number of citations that they have received in other publications. The index has
H-index
Diagram that shows all possible logical relations between a collection of sets
delimits a set interleaves with previous curves, starting with the three-circle diagram. Venn's construction for four sets (use Gray code to compute, the digit
Venn_diagram
Measure of population differentiation
The fixation index (FST) is a measure of population differentiation due to genetic structure. It is frequently estimated from genetic polymorphism data
Fixation_index
Index for innovation
Index was started in 2007 by INSEAD and World Business, a British magazine. It was created by Soumitra Dutta. The Global Innovation Index is computed
Global_Innovation_Index
Blue chip stock market index
EURO STOXX 50 is a stock index of Eurozone stocks designed by STOXX, an index provider owned by the Deutsche Börse Group. The index is composed of 50 stocks
EURO_STOXX_50
In computability theory, computational complexity theory and proof theory, the Hardy hierarchy, named after G. H. Hardy, is a hierarchy of sets of numerical
Hardy_hierarchy
Clustering evaluation metric
Given a data set of n points: {x1, ..., xn}, and the assignment of these points to k clusters: {C1, ..., Ck}, the Calinski–Harabasz (CH) Index is defined
Calinski–Harabasz_index
British mathematician (born 1947)
Association for Symbolic Logic in Leeds in July 1997 on sets and proofs and models and computability. The volumes were welcomed by philosopher Graham Priest
John_Truss
Hierarchy of complexity classes for formulas defining sets
(1946). The arithmetical hierarchy is important in computability theory, effective descriptive set theory, and the study of formal theories such as Peano
Arithmetical_hierarchy
Body scale based on waist circumference and height
Body roundness index (BRI) is a calculated geometric index used to quantify an aspect of a person's individual body shape. Based on the principle of body
Body_roundness_index
In computability theory, productive sets and creative sets are types of sets of natural numbers that have important applications in mathematical logic
Creative_and_productive_sets
operator to set up the initial values of an elementary arithmetic operation, then manipulate the device to obtain the result. In later stages, computing devices
History_of_computing_hardware
Measure of inequality of a statistical distribution
economics, the Gini coefficient (/ˈdʒiːni/ JEE-nee), also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent
Gini_coefficient
Blue chip stock market index
WIG30 index may not include more than 7 companies from one exchange sector, and the share of one company is limited to 10% in the index. It is computed daily
WIG30
Index of articles associated with the same name
(2): 240–284. doi:10.1090/s0002-9904-1969-12138-5. ISSN 0273-0979. This set index article includes a list of related items that share the same name (or
Stratification_(mathematics)
Set of elements in any of some sets
is an index set and A i {\displaystyle A_{i}} is a set for every i ∈ I {\displaystyle i\in I} . In the case that the index set I is the set of natural
Union_(set_theory)
Type of abstract computing machine
[at Wikidata] (September 1961). "An Informal Arithmetical Approach to Computability and Computation". Canadian Mathematical Bulletin. 4 (3): 89, 279–293
Register_machine
One of several equivalent definitions of a computable function
Burgess, J. P., Jeffrey, R. C., Computability and Logic, Cambridge University Press, 2007 Jones, N. D., Computability and Complexity: From a Programming
General_recursive_function
Index to measure economic inequality
The Theil index is a statistic primarily used to measure economic inequality and other economic phenomena, though it has also been used to measure racial
Theil_index
Activity involving calculations or computing machinery
Confidential computing Creative computing Data-centric computing Electronic data processing Enthusiast computing Index of history of computing articles Instruction
Computing
Software system for finding relevant information on the Web
accuracy of an engine's response to a query are based on a complex system of indexing that is continuously updated by automated web crawlers. This can include
Search_engine
Measure of firm's market power
L={\frac {P-MC}{P}}} where P is the market price set by the firm and MC is the firm's marginal cost. The index ranges from 0 to 1. A perfectly competitive
Lerner_index
Family of instruction set architectures
80x86 or the 8086 family) is a family of complex instruction set computer (CISC) instruction set architectures initially developed by Intel, based on the
X86
Set theory concept
collection of sets Vα indexed by the class of ordinal numbers; in particular, Vα is the set of all sets having ranks less than α. Thus there is one set Vα for
Von_Neumann_universe
Type of data structure
In distributed computing, a conflict-free replicated data type (CRDT) is a data structure that is replicated across multiple computers in a network, with
Conflict-free replicated data type
Conflict-free_replicated_data_type
Subset of a graph's nodes such that all other nodes link to at least one
377–385. Takamizawa, K.; Nishizeki, T.; Saito, N. (1982), "Linear-time computability of combinatorial problems on series–parallel graphs", Journal of the
Dominating_set
Compressed full-text substring index
In computer science, an FM-index is a compressed full-text substring index based on the Burrows–Wheeler transform, with some similarities to the suffix
FM-index
Sets whose elements have degrees of membership
families of fuzzy sets as follows: Given a family A = ( A i ) i ∈ I {\displaystyle A=(A_{i})_{i\in I}} of fuzzy sets with index set I (e.g. I = {1,2,3
Fuzzy_set
Generalization of "n-th" to infinite cases
Thanks to 0-based indexing, the order type coincides with the cardinality for finite sets, including the empty set. However, for infinite sets, different well-order
Ordinal_number
Computer science metric for string similarity
column of the matrix, with the first row having index 0 and the first column having index 0. Computing the Levenshtein distance is based on the observation
Levenshtein_distance
Associative array for storing key–value pairs
type that maps keys to values. A hash table uses a hash function to compute an index, also called a hash code, into an array of buckets or slots, from which
Hash_table
usual set theory) that the ranks are well-ordered by inclusion, and so the ranks have an index in this well-order: refer to the rank with index α {\displaystyle
Implementation of mathematics in set theory
Implementation_of_mathematics_in_set_theory
Measure in decision theory
implementation to compute the indices for all states of a Markov chain. Further, Katehakis and Veinott demonstrated that the index is the expected reward
Gittins_index
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
Boy/Male
Sikh
Ruler of all that is wild and untamed., Born of tooth and fang
Female
Egyptian
, second wife of Antef.
Girl/Female
American, Australian, British, English
The Country India
Female
Egyptian
, a sister of Sekherta.
Female
Egyptian
, a sister of Sekherta.
Male
English
Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.
Female
Egyptian
, the wife of Osirtesen.
Surname or Lastname
English
English : variant spelling of See.
Boy/Male
Egyptian Hebrew Swedish
Son of Seb and Nut.
Male
Hebrew
Variant spelling of Hebrew Sheth, SHET means "buttocks."
Boy/Male
Bengali, Celebrity, Gujarati, Hindu, Indian, Kannada, Marathi, Punjabi, Sanskrit, Sikh, Sindhi, Traditional
The God of Weather and War; Lord of the Devas; King of Gods
Female
English
Short form of English Elizabeth, BET means "God is my oath."Â
Boy/Male
Hindi
Supreme god.
Female
Egyptian
, a wife and daughter of Antef.
Girl/Female
Welsh
Legendary daughter of GanKy.
Girl/Female
Hindu, Indian
Index Finger
Male
English
Short form of English Stephen, STE means "crown."
Male
Hindi/Indian
(सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.
Female
Egyptian
, an uncertain goddess.
Female
Egyptian
, the mother of Fai-hor-ou-oer.
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
Boy/Male
Irish
Irish name meaning “â€a poetâ€â€ or “â€a philosopher.â€â€ In one legend, at the Battle of Clontarf (read the legend) in 1014 Tadhg Mór(“â€Big Tadhgâ€â€) O’Kelly is reported to have fought “â€like a wolf dogâ€â€ before he was overcome by the Vikings and killed. When he fell a ferocious animal came from the ocean to protect the dead body of the chieftain until it was retrieved by his O’Kelly kinsmen. “â€A most extraordinary creature, it had the head of a fox, the chest of an elephant, the mane of a horse, the forelegs of an eagle, the body and hind legs of a hound and the tail of a lion.â€â€
Surname or Lastname
English
English : probably a variant of Easton.The Esten family has been associated with Scituate, MA, and Providence, RI, since the 17th century.
Girl/Female
Tamil
The earth
Boy/Male
Hindu, Indian, Sanskrit, Sikh
Fearless Portion
Boy/Male
British, English
Stag
Surname or Lastname
English
English : habitational name from places in Cambridgeshire and Suffolk called Soham, from Old English sÄ â€˜sea’, ‘lake’ (a byform of sÇ£) + hÄm ‘homestead’.
Boy/Male
Indian, Sanskrit
An Iron Spear
Girl/Female
British, English
Bright Fame
Boy/Male
Muslim
Teacher
Boy/Male
Latin Gaelic Swedish
Small.
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
p. pr. & vb. n.
of Index
v. i.
To fit or suit one; to sit; as, the coat sets well.
n.
A table for facilitating reference to topics, names, and the like, in a book; -- usually alphabetical in arrangement, and printed at the end of the volume.
n.
A prologue indicating what follows.
pl.
of Index
pl.
of Index
a.
Regular; uniform; formal; as, a set discourse; a set battle.
n.
Index; indication.
adv.
In the manner of an index.
v. t.
To provide with an index or table of references; to put into an index; as, to index a book, or its contents.
a.
Of, pertaining to, or like, an index; having the form of an index.
imp. & p. p.
of Set
n.
See Set, n., 2 (e) and 3.
n. pl.
See Index.
imp. & p. p.
of Index
n.
The second digit, that next pollex, in the manus, or hand; the forefinger; index finger.
n.
The figure or letter which shows the power or root of a quantity; the exponent.
a.
Fixed in position; immovable; rigid; as, a set line; a set countenance.
n.
One who makes an index.
pl.
of Index