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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
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
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
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
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
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
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
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
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
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
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)
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
2026 American company IPO
rule change allowing its early inclusion in the Nasdaq-100 index, but not the S&P 500 index. After having rejected for many years taking SpaceX public
Initial public offering of SpaceX
Initial_public_offering_of_SpaceX
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
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
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
Commercial at (computing) – Commodore 1541 – Commodore 1581 – Commodore 64 – Common logarithm – Compact disc – Compiler – Computability theory – Computational
Index_of_computing_articles
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
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
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
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
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)
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
Problem in computer science
In computability theory, the halting problem is the decision problem of, given an arbitrary computer program and an input, determining whether said program
Halting_problem
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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)
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 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
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
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
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
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
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
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
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
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
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
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
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
Russian stock market index
addition to the RTS Index, Moscow Exchange also computes and publishes the RTS Standard Index (RTSSTD), RTS-2 Index, RTS Siberia Index and seven sectoral
RTS_Index
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
In set theory and computability theory, Kleene's O {\displaystyle {\mathcal {O}}} is a canonical subset of the natural numbers when regarded as ordinal
Kleene's_O
Data structure
A Fenwick tree or binary indexed tree (BIT) is a data structure that stores an array of values and can efficiently compute prefix sums of the values and
Fenwick_tree
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
The Codon Adaptation Index (CAI) is the most widespread technique for analyzing codon usage bias. As opposed to other measures of codon usage bias, such
Codon_Adaptation_Index
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
In computability theory, computational complexity theory and proof theory, the slow-growing hierarchy is an ordinal-indexed family of slowly increasing
Slow-growing_hierarchy
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)
Index to measure economic inequality
is a measure of randomness in a given set of information. In information theory, physics, and the Theil index, the general form of entropy is S = k ∑
Theil_index
Mathematical topics based on the works of George Boole
algebra can be extended to prime ideals Binary (disambiguation) This set index article includes a list of related items that share the same name (or
Boolean
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
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
Sets with no element in common
sources this is a set of sets, while other sources allow it to be a multiset of sets, with some sets repeated. An indexed family of sets ( A i ) i ∈ I ,
Disjoint_sets
Finite, ordered collection of items
an array, a list can expand and shrink. In computing, lists are easier to implement than sets. A finite set in the mathematical sense can be realized as
List_(abstract_data_type)
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
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
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
families of sets (which cannot be indexed by sets of singletons) will not have cartesian products under this definition. Note further that the sets A i {\displaystyle
Implementation of mathematics in set theory
Implementation_of_mathematics_in_set_theory
Function computable with bounded loops
In computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all
Primitive_recursive_function
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
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
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
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)
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)
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
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
Egyptian
, the wife of Osirtesen.
Female
Egyptian
, an uncertain goddess.
Female
Egyptian
, a sister of Sekherta.
Boy/Male
Hindi
Supreme god.
Male
Hebrew
Variant spelling of Hebrew Sheth, SHET means "buttocks."
Girl/Female
Hindu, Indian
Index Finger
Girl/Female
American, Australian, British, English
The Country India
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
English
Short form of English Elizabeth, BET means "God is my oath."Â
Boy/Male
Sikh
Ruler of all that is wild and untamed., Born of tooth and fang
Male
English
Short form of English Stephen, STE means "crown."
Female
Egyptian
, the mother of Fai-hor-ou-oer.
Female
Egyptian
, a wife and daughter of Antef.
Male
Hindi/Indian
(सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.
Boy/Male
Egyptian Hebrew Swedish
Son of Seb and Nut.
Female
Egyptian
, a sister of Sekherta.
Girl/Female
Welsh
Legendary daughter of GanKy.
Surname or Lastname
English
English : variant spelling of See.
Female
Egyptian
, second wife of Antef.
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
Boy/Male
Indian
Intelligent
Male
Spanish
Spanish form of Anglo-Saxon Eádgár, EDGARDO means "rich spear."Â
Boy/Male
Hindu, Indian, Marathi
The Mind; Understanding
Girl/Female
Australian, French, Hebrew
Dove
Boy/Male
Hindu
Desired
Girl/Female
Latin
Beloved.
Girl/Female
Tamil
Ansuya | அநà¯à®¸à¯à®¯à®¾
Without spite or envy, Learned woman
Girl/Female
Arabic, Muslim
Mother of Sons
Boy/Male
Australian, Danish, French, German, Scandinavian, Swedish
War; Battle; Warrior; Fight; Army
Female
English
Anglicized form of Hebrew Peninnah, PENINNA means "coral" or "pearl."Â
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
INDEX SET-COMPUTABILITY
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.
Index; indication.
imp. & p. p.
of Index
pl.
of Index
adv.
In the manner of an index.
n. pl.
See Index.
n.
The second digit, that next pollex, in the manus, or hand; the forefinger; index finger.
imp. & p. p.
of Set
v. i.
To fit or suit one; to sit; as, the coat sets well.
n.
A prologue indicating what follows.
pl.
of Index
a.
Fixed in position; immovable; rigid; as, a set line; a set countenance.
n.
See Set, n., 2 (e) and 3.
a.
Of, pertaining to, or like, an index; having the form 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.
n.
One who makes an index.
a.
Regular; uniform; formal; as, a set discourse; a set battle.
p. pr. & vb. n.
of Index
n.
The figure or letter which shows the power or root of a quantity; the exponent.
pl.
of Index