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Encyclopedia results for Data type

Data type





Encyclopedia results for Data type

  1. Data type

    other uses2 Data type In certain technical fields especially computer programming and statistics , a data type is a classification identifying one of various types of data, such as real valued , integer or Boolean data type Boolean , that determines the possible values for that type the operations that can be done on values of that type the meaning of the data and the way values of that type can be stored. ref http foldoc.org data type ref ref Shaffer, C.A. Data Structures and Algorthms , 1.2 ref ... science integer binary data Boolean data type Boolean categorical data enumerated type random vector list abstract data type list or array data type array random matrix two dimensional array data type array random tree disambiguation random tree tree data structure tree The rest of this article ... data type . Overview Data types are used within type system s, which offer various ways of defining ... ref Almost all programming languages explicitly include the notion of data type, though different ... integers , Boolean data type boolean s, Character computing character s, floating point floating point ... This example is just plain daft and gives an entirely misleading view of what a data type ... multiple elements of other types and defining the valid operations of the new data type. For example, a programmer might create a new data type named complex number that would include real and imaginary parts. A data type also represents a constraint placed upon the interpretation of data ... value s or object computer science object s stored in computer memory. The type system uses data type information to check correctness of computer programs that access or manipulate the data. Classes ... by machine code instructions is called a Word data type word as of 2011, typically 32 or 64 bits ... suit as its data type, one can assign any of those four values to it. Some implementations allow ... computer programming pointer , a data type whose value refers directly to or points to another value ...   more details



  1. Inductive data type

    Inductive data type may refer to Recursive data type , a data type for values that may contain other values of the same type. Data of recursive types are usually viewed as directed graphs Algebraic data type , a datatype each of whose values is data from other datatypes wrapped in one of the constructors of the datatype Inductive family , a family of inductive data types indexed by another type or value disambiguation Category Type theory Category Dependently typed programming ...   more details



  1. Data type (disambiguation)

    Wiktionary datatype Datatype may refer to Data type in programming languages Amiga support and maintenance software Datatypes Amiga Datatype , the AmigaOS automatic system of recognizing data files seealso Category Statistical data types disambig ...   more details



  1. Real data type

    Unreferenced date December 2009 A real data type is a data type used in a computer program to represent an approximation of a real number . Because the real numbers are not Countable set countable , computers cannot represent them exactly using a finite amount of information. Most often, a computer will use a rational number rational approximation to a real number. Rational numbers Main rational data type The most general data type for a rational number stores the numerator and denominator as integers. See Integer computer science Integer . Fixed point numbers Main fixed point arithmetic A fixed point data type assumes a specific denominator for all numbers. The denominator here is most often a power of two . For example, in a system whose denominator is 65,536 2 sup 16 sup , the hexadecimal number 0x12345678 means 0x12345678 65536 or 305419896 65536 or 4660 22136 65536 or about 4660.33777. See fixed point arithmetic . Floating point numbers Main floating point A floating point type is a compromise between the flexibility of a general rational type and the speed of fixed point arithmetic. It uses some of the bits in the data type to specify a power of two for the denominator. See floating point and IEEE 754 IEEE Floating Point Standard . data types DEFAULTSORT Real Data Type Category Data types ja vi Ki u s th c ...   more details



  1. Pile (abstract data type)

    cleanup date December 2011 In computer science , a pile is an abstract data type for storing data in a loosely ordered way. There are two different usages of the term one refers to an ordered deque, the other to an improved heap. Ordered deque The first version combines the properties of the deque and a priority queue and may be described as an ordered deque . An item may be added to the head of the list if the new item is valued less than or equal to the current head or to the tail of the list if the new item is greater than or equal to the current tail. Elements may be removed from both the head and the tail. ref Art S. Kagel, http www.nist.gov dads HTML pile.html Pile , in Dictionary of Algorithms and Data Structures online , Paul E. Black, ed., National Institute of Standards and Technology , assessed September 27, 2007. ref Piles of this kind are used in the UnShuffle sort sorting algorithm . Improved heap The second version is a subject of patents ref http www.patentstorm.us patents 6952696 fulltext.html Data structure and method for sorting using heap supernodes , U.S. patent 728147 2000, issued 2005 ref ref http www.patentstorm.us patents 7007021 fulltext.html Data structure and method for pipeline heap sorting , U.S. patent 09727534 2000, issued 2006 ref and improves the heap data structure heap data structure. The whole Data Pile based system can be generalized as shown File data pile arch.jpg Data Pile Architecture References reflist Category Abstract data types ...   more details



  1. Recursive data type

    In computer programming language s, a recursive data type also known as a recursively defined , inductively defined or inductive data type is a data type for values that may contain other values of the same type. Data of recursive types are usually viewed as directed graph s. An important application of recursion in computer science is in defining dynamic data structures such as Lists and Trees. Recursive data structures can dynamically grow to a theoretically infinite size in response to runtime ... the term inductive data type is used for algebraic data type s which are not necessarily recursive. Example also Recursion computer science Recursive data structures structural recursion An example is the List computing list type, in Haskell programming language Haskell pre data List a Nil Cons a List ... datatype pre data Nat Zero Succ Nat pre In type theory, we would say math nat mu alpha. 1 alpha math where the two arms of the sum type represent the Zero and Succ data constructors. Zero takes no arguments ... Int, Bad type Evil Bool Evil pre Instead, you must wrap it inside an algebraic data type even if it only has one constructor pre data Good Pair Int Good data Fine Fun Bool Fine pre This is because type ... it is that a level of indirection the algebraic data type is required to allow the isorecursive type system to figure out when to roll and unroll . See also Recursive definition Algebraic data type Node computer science Notes Reflist Data types FOLDOC Category Data types Category Type theory fr ... of the list and another list the tail . Another example is a similar singly linked type in Java source lang java class List E E value List E next source This indicates that non empty list of type E contains a data member of type E, and a reference to another List object for the rest of the list or a null reference to indicate an empty rest of the list . Theory In type theory , a recursive type has the general form .T where the type variable may appear in the type T and stands for the entire ...   more details



  1. Algebraic data type

    , an algebraic data type sometimes also called a variant type ref http caml.inria.fr pub docs ... using pattern matching . The most common algebraic data type is a list with two constructors ... other types . An algebraic data type may also be an abstract data type ADT if it is exported from a module ... in the same module as the type itself. In set theory the equivalent of an algebraic data type is a disjoint ... data type, code Tree code source lang haskell data Tree Empty Leaf Int Node Tree Tree source Here, code Empty code , code Leaf code and code Node code are called data constructors . code Tree code is a type ... to arguments of an appropriate type, yielding an instance of the data type to which the type constructor ... is recursive type recursive . Operations on algebraic data types can be defined by using pattern ... suited to the implementation of abstract syntax . For instance, the following algebraic data type ... source An element of such a data type would have a form such as code Mult Add Number 4 Minus ... of as a kind of tag for that kind of data. Each constructor can carry with it a different type ... we want to do something with a value of this Tree algebraic data type, we deconstruct it using ... to the integer value stored in the data type to be used in the expression to be evaluated. The recursion ... will point out some of the advantages of algebraic data types and pattern matching. First is type ... assigning a static type to it in a safe way in a traditional record computer science record data ... on the character sequence of strings. Theory main Inductive data type A general algebraic data type ... it from others, or if there is only one constructor, the data type is a product type. Further, the parameter ... form allows one to express so called nested data type s, i.e., those where the recursive type differs parametrically from the original. For more information on nested data types, see the works ... ML Visual Prolog See also Tagged union Disjoint union Type theory Generalized algebraic data type ...   more details



  1. Ordinal data type

    Unreferenced date December 2009 Merge to Enumerated type date July 2010 In computer programming , an ordinal data type is a data type with the property that its values can be counted. That is, the values can be put in a one to one correspondence with the positive integer s. For example, Character computer science characters are ordinal because we can call A the first character, B the second, etc. The term is often used in programming for variables that can take one of a wiktionary Finite finite often small number of values. While the values are often implemented as integers or similar types such as bytes they are assigned Literal computer science literal names and the programming language and the compiler for that language can enforce that variables only be assigned those literals. For instance in Pascal, one can define source lang pascal var x 1..10 y a .. z source DEFAULTSORT Ordinal Data Type Category Data types Compu prog stub pl Typ porz dkowy ...   more details



  1. Collection (abstract data type)

    merge Container abstract data type discuss Talk Container abstract data type Merging Container and Collection ... of data items possibly zero that have some shared significance to the problem being solved and need to be operated upon together in some controlled fashion. Generally, the data items will be of the same type or, in languages supporting inheritance, derived from some common ancestor type. A table or array ... are List computing lists , Set computer science sets , Multiset bags or multisets , Tree data structure trees and Graph data structure graphs . An enumerated type may be either a list or a set. Lists In a list , the order of data items is significant. Duplicate data items are permitted. Examples ..., it will generally be called a Queue data structure queue or FIFO . If the principal operations are the addition and removal of items at just one end, it will be called a Stack data structure ... is of great importance. Sets In a Set computer science set , the order of data items is of no consequence ... the set. Bags A bag or multiset , is like a set the order of data items is of no consequence. But in this case ... a word . The value might be a reference to a compound data structure. A hash table is usually an efficient implementation. Trees In a tree , a root data item has associated with it some number of data ... of data items so as to maintain a specific property of the tree to perform sorting, etc. and traversals to visit data items in a specific sequence. A tree used for sorting operations is usually called a Heap data structure heap . Tree collections are also used to store data that is presented in a tree like manner, such as menu systems and files in directories on a data storage system. Graphs In a graph , data items have associations with one or more other data items in the collection and are somewhat like trees without the concept of a root or the parent child relationship so that all data ... of data items looking for some specific property. Graphs are frequently used to model real ...   more details



  1. Container (abstract data type)

    Merge Collection abstract data type discuss Talk Container abstract data type Merging Container and Collection date December 2011 For the abstract notion of containers in type theory Container type theory ... science class , a data structure ref Paul E. Black ed. , entry for data structure in Dictionary of Algorithms and Data Structures . US National Institute of Standards and Technology .15 December 2004. Accessed on Oct 04, 2011. ref ref Entry data structure in the Encyclop dia Britannica 2009 http www.britannica.com EBchecked topic 152190 data structure Online entry Accessed on Oct 04, 2011. ref , or an abstract data type ADT whose instances are collections of other objects. In other words they are used ... Template Library Containers container adaptor s exist. Data structures that implement containers include array data structure array s, List computing list s, Associative array map s, Queue data structure queue s, Set computer science set s, Stack data structure stack s, table information table s, tree data structure tree s, and Vector C vector s. Graphic containers Widget toolkit s use special ... the same type of behavior as container classes , as they keep a list of their child Widget computing ... as class capable of storing other objects.These classes usually implement some kind of data structure such as map , set , Stack data structure stacks etc.The size of the collection of objects is adjusted ... C part of the Foundation Kit See also List of data structures Standard Template Library Containers Collection computing Stack data structure Stack data structure References Reflist External links http help.sap.com saphelp 40b helpdata en c5 e4b14a453d11d189430000e829fbbd content.htm Container Data Structure ... data structures index1162.html Container data structures Data structures Data types Use dmy dates date March 2012 DEFAULTSORT Container Data Structure Category Abstract data types Category Object oriented programming Category Data structures ca Contenidor estructura de dades de Container Informatik ...   more details



  1. Opaque data type

    pointer is a special case of an opaque data type, a datatype that is declared to be a pointer computer programming pointer to a record computer science record or data structure of some unspecified data type. For example, the standard library that forms part of the specification of the C programming ... to be shared by two or more modules. See also Abstract data type Forward declaration Information hiding References Reflist data types Category Data types Category Object oriented programming comp sci ... 062176 page 42 ref Typical examples of opaque data types include handle computing handles for resource ... or take values of type pointer to code FILE code that represent file streams see C file input output , but the concrete implementation of the type code FILE code is not specified. ref cite book ... with an object of such a type is to take its memory address , to produce an opaque pointer . If the information provided by the interface is sufficient to determine the type s size, then clients can declare variable computer science variable s, field computer science fields , and Array data structure arrays of that type, assign their values, and possibly compare them for equality. This is usually ... kind of opaque type provided is the opaque pointer. Indeed, in Java and several other languages records ...   more details



  1. Complex data type

    Some programming languages provide a complex data type for complex number storage and arithmetic as a built in primitive data type . In some programming environments the term complex data type in contrast to primitive data type s is a synonym to the composite data type . ref http publib.boulder.ibm.com infocenter idshelp v10 index.jsp?topic com.ibm.ddi.doc ddi168.htm IBM Informix Database Design and Implementation Guide ref ref http livedocs.adobe.com flash 8 main wwhelp wwhimpl common html wwhelp.htm?context LiveDocs Parts&file 00001179.html Flash 8 Documentation Dead link date May 2010 ref Complex number arithmetic A complex variable or value is usually represented as a pair of floating point numbers. Languages that support a complex data type usually provide special syntax for building such values, and extend the basic arithmetic operations , &minus , , to act on them. These operations are usually translated by the compiler into a sequence of floating point machine instruction s or into library computer science library calls. Those languages may also provide support for other operations, such as formatting, equality testing, etc. As in mathematics , those languages often interpret a floating point value as equivalent to a complex value with a zero imaginary part. Language support The FORTRAN s type COMPLEX The C99 standard of the C programming language includes complex data types and complex math functions in the standard library header code complex.h code The C standard library provides a code complex code templated class as well as complex math functions in the header code complex code The Go programming language Go programming language has built in types code complex64 ... version 4.0. History The code COMPLEX code data type was provided in FORTRAN IV . ref http books.google.com ... Data types DEFAULTSORT Complex Data Type Category Data types compu prog stub comp sci stub pl Zespolony ... Python support complex numbers built in with the type code complex code . Imaginary number literals ...   more details



  1. Primitive data type

    data type is either of the following Citation needed date May 2009 a basic type is a data type provided ... type s to be recursively constructed starting from basic types. a built in type is a data type ... strings are a composite but built in data type, whereas in modern dialects of BASIC and in JavaScript , they are assimilated to a primitive data type that is both basic and built in. Classic basic ... and a programmer selected order of magnitude scale . Boolean data type Boolean , logical values true ... 3.0 C 3.0 Specific primitive data types Integer numbers An integer data type can hold a whole number ... 8 bits Byte 128 to 127 0 to 255 16 bits Word data type Word , short int 32,768 to 32,767 0 to 65,535 32 bits Word data type Size families Double Word , long int win32, win64, 32 bit Linux ref name agnerfog ... World Numeric data type ranges Each numeric data type has its maximum and minimum value known as the range ... data type is usually able to store math 2 n math values where math n math is the number of bit s that contribute ... wrapper class Object type Language primitive References reflist data types DEFAULTSORT Primitive Data Type Category Data types Category Primitive types de Datentyp Elementare Datentypen ko it Operazione ... data types are built in. In addition, many languages also provide a set of composite data types. Opinions vary as to whether a built in type that is not basic should be considered primitive . Citation needed date May 2009 Depending on the language and its implementation, primitive data types may ... expects operations on basic primitive data types to be the fastest language constructs there are. Citation ... architecture. Basic primitive types are almost always value type s. Most languages do not allow the behavior or capabilities of primitive either built in or basic data types to be modified by programs. Exceptions include Smalltalk , which permits all data types to be extended within a program, adding ... The actual range of primitive data types that is available is dependent upon the specific programming ...   more details



  1. Generalized algebraic data type

    In functional programming , a generalized algebraic data type GADT , also first class phantom type , sfn Cheney Hinze 2003 guarded recursive datatype , sfn Xi Chen Chen 2003 or equality qualified type sfn Sheard Pasalic 2004 is a generalization of the algebraic data type s of Haskell programming language ... of the return Data type type of a data constructor can be freely chosen when declaring the constructor, while for algebraic data types in Haskell 98, the type parameter of the return value is inferred from data types of parameters Please, anyone with ML experience check if this applies to ML ... language ML s and Haskell programming language Haskell s algebraic data type s. sfn Cheney Hinze ... regular algebraic data types. Dropping the type parameter would have made the lifted base types existentially ... data type extensions.html gadt Generalised Algebraic Data Types in the GHC Users Guide http lambda ... Category Dependently typed programming Category Type theory Category Composite data types ... with generalized algebraic data types. History An early version of generalized algebraic data ... pattern matching in ALF theorem prover ALF . Generalized algebraic data types were introduced independently ... of data types or inductive datatypes found in Coq s Calculus of Inductive Constructions and other ... Sulzmann Wazny Stuckey 2006 introduced extended algebraic data types which combine GADTs together with the existential type existential data types and type class constraints introduced by harv Perry 1991 , harv L ufer Odersky 1994 and harv L ufer 1996 . Type inference in the absence of any programmer supplied type annotation s is undecidable problem undecidable sfn Peyton Jones Washburn Weirich 2004 p 7 and functions defined over GADTs do not admit principal type s in general. sfn Schrijvers Peyton Jones Sulzmann Vytiniotis 2009 p 1 Type reconstruction requires several design trade offs and is on going ... Martin Sulzmann 2011 . Features Non uniform return parameter type Existentially quantified ...   more details



  1. Composite data type

    Unreferenced date May 2009 In computer science , a composite data type is any data type which can be constructed in a program using its programming language s primitive data types and other composite types. The act of constructing a composite type is known as Object composition composition . C C structures and classes seedetails C classes A code struct code is C programming language C s and C s notion of a composite type, a datatype that composes a fixed set of labeled fields or members . It is so ... dimensional Vector composite type that uses the floating point data type could be created with source ... See also Object composition struct C programming language Data types Category Data types Category Composite data types Category Type theory Category Articles with example C code Category Articles ... or, more precisely, user defined data structure . Fact reason Please give a reliable source for this assertion ... completely new in C , the C programming language C programming language already had a crude type ... have any type. The total storage required for a code struct code object is the sum of the storage requirements of all the fields, plus any internal Data structure alignment Data structure padding padding ... balance source defines a type, referred to as code struct Account code . To create a new variable of this type, we can write code struct Account myAccount code which has an integer component, accessed ... types defined using code struct code are already part of the regular namespace, so the type can be referred ... Vector code composite type would be declared as code Vector velocity code Members of the code ... this would be to create a code Vertex code composite type, using the previously created code Vector ... source Instantiation Create a variable of type code Vertex code using the same format as before code ..., but sometimes it is used to create primitive Structural type system structural subtype subtyping ... type s or type signature s are constructed from primitive and composite types, and can serve as types ...   more details



  1. Rational data type

    Some programming languages provide a built in primitive rational data type to represent rational number s like 1 3 and 11 17 without rounding, and to do arithmetic on them. Examples are the code ratio code type of Common Lisp , and analogous types provided by most languages for algebraic computation , such as Mathematica and Maple . Many languages that do not have a built in rational type still provide it as a library computer science library defined type. Representation A variable or value of that type is usually represented as a fraction mathematics fraction m n where m and n are two integer computer science integer numbers, either with a fixed or arbitrary precision arithmetic arbitrary precision . Depending on the language, the denominator n may be constrained to be non zero, and the two numbers may be kept in reduced form without any common divisor s except 1 . Languages that support a rational data type usually provide special syntax for building such values, and also extend the basic arithmetic operations , &minus , , , integer power mathematics powers and comparisons , < , > , to act on them either natively or through operator overloading facilities provided by the language. These operations may be translated by the compiler into a sequence of integer machine instruction ... provides a tt Rational tt type, which is really an alias for tt Ratio Integer tt tt Ratio tt being a polymorphic type implementing rational numbers for any tt Integral tt type of numerators and denominators ... the GNU Multiple Precision Arithmetic Library . Common Lisp Common Lisp provides a numeric data type for arbitrarily sized rational numbers RATIO ref http www.lispworks.com documentation lw50 CLHS Body t ratio.htm ratio Common Lisp HyperSpec RATIO ref . source lang lisp 1 3 1 3 source The type of a rational number is tt RATIO tt source lang lisp type of 1 3 RATIO source Dividing two integers may .... Data types Category Data types comp sci stub ...   more details



  1. Boolean data type

    In computer science , the Boolean or logical data type is a data type , having two values usually denoted ... 19th century. Implementations In programming language s that have a built in Boolean data type ... an explicit Boolean data type, like ANSI C C90 C90 and Lisp programming language Lisp , may still represent truth values by some other data type. Lisp uses an empty list for false, and any other value for true. C uses an integer computer science integer type, where relational expressions like code i ... so there is no single Boolean type . In some languages, the Boolean data type is defined to include ... to provide an explicit Boolean data type was ALGOL 60 1960 with values true and false and logical ... AND code . This approach Boolean is a separate built in primitive data type was adopted by many later ... the ALGOL 60 example by providing a Boolean data type code LOGICAL code , truth literals code .TRUE ... language Lisp language 1958 never had a built in Boolean data type. Instead, conditional constructs ... standard definitions of a Boolean type as an integer type and macros for false and true as 0 and 1, respectively. C has a separate Boolean data type code bool code , but with automatic conversions ... defined enumerated type s. A built in code Boolean code data type was then provided as a predefined ... standard, SQL specified a Boolean data type with four possible values true, false, unknown or null ... Type Category Boolean algebra Category Data types Category Primitive types Category Articles with example ... Boolean type, have support for Boolean algebraic operations such as logical conjunction conjunction ... by many scripting language s, even ones that do have a distinct Boolean type or Boolean values although ... between strictly type checked and type coercion coerced Booleans. ref cite web url http javascript.crockford.com ... programming language C language 1972 provided no Boolean type and, to this day, Boolean values .... Python has a related situation, where the Boolean type, code bool code is a subtype of the integer ...   more details



  1. Decimal data type

    Some programming languages provide a built in primitive or library decimal data type to represent non repeating decimal fraction s like 0.3 and 1.17 without rounding, and to do arithmetic on them. Examples are the code decimal.Decimal code type of Python programming language Python , and analogous types provided by other languages. Rationale Fractional numbers are supported on most programming languages as floating point number s or fixed point number s. However, such representations typically restrict the denominator to a power of two. Most decimal fractions or most fractions in general cannot be represented exactly as a fraction with a denominator that is a power of two. For example, the simple decimal fraction 0.3 3 10 might be represented as 5404319552844595 18014398509481984 0.299999999999999988897769... . This inexactness causes many problems that are familiar to experienced programmers. For example, the expression code 0.1 7 0.7 code might counterintuitively evaluate to false in some systems, due to the inexactness of the representation of decimals. Although all decimal fractions are fraction s, and thus it is possible to use a rational data type to represent it exactly, it may be more convenient in many situations to consider only non repeating decimal fractions fractions whose denominator is a power of ten . For example, fractional units of currency worldwide are mostly based on a denominator that is a power of ten. Also, most fractional measurements in science are reported as decimal fractions, as opposed to fractions with any other system of denominators. A decimal data type could be implemented as either a floating point number or as a fixed point number . In the fixed .... Languages that support a rational data type usually allow the construction of such a value from ... value, etc.. Standard formats IEEE 754 specifies three standard floating point decimal data types of different ... Data types Category Data types comp sci stub ...   more details



  1. List (abstract data type)

    Unreferenced date December 2009 In computer science , a list or sequence is an abstract data type that implements ... index indexed or array slicing sliced like array data type array type s. In object oriented ... Lisp , lists are the fundamental data type and can represent both program code and data. In most dialects .... These axioms are equivalent to those of the abstract stack data type . In type theory , the above definition is more simply regarded as an inductive type defined in terms of constructors nil and cons ... data structures that can be used to implement abstract lists, especially linked list s. The so called .... Many programming language s provide support for list data types , and have special syntax and semantics ... of a generic list class. List data types are often implemented using array data structure array s or linked lists of some sort, but other data structures may be more appropriate for some applications ... specifically to a linked list rather than an array. In type theory and functional programming , abstract lists are usually defined inductive type inductively by four operations nil that yields the empty ... s natural numbers can be defined as abstract lists with elements of unit type . Operations Implementation of the list data structure may provide some of the following operation mathematics operations ... may be typed . This implies that the entries in a list must have datatype type s that are compatible with the list s type. It is common that lists are typed when they are implemented using arrays ... s either singly or doubly linked or as Array data structure arrays , usually variable length or dynamic ... data structure tree , depending on whether the list has nested sublists. Some older Lisp implementations ... data structure , but offer the use of associative array s or some kind of table to emulate lists ... than a list. Abstract definition The abstract list type L with elements of some type E a Type .... The list monad The list type forms a monad functional programming monad with the following functions ...   more details



  1. Abstract data type

    Refimprove date May 2009 In computer science , an abstract data type ADT is a mathematics mathematical model for a certain class of data structure s that have similar behavior or for certain data type s of one or more programming languages that have similar semantics . An abstract data type is defined ... implemented by specific data type s or data structure s, in many ways and in many programming ... without disturbing the client computing client programs. The term abstract data type can also ... an abstract data type ADT An abstract data type is defined as a mathematical model of the data objects that make up a data type as well as the functions that operate on these objects. There are no standard ... definition styles. Imperative abstract data type definitions In the imperative view, which is closer ... parts of the program. The data abstraction view of a type is defined by its public members. Members ... programming language Java , support a form of abstract data types. When a class is used as a type, it is an abstract ... the representation of certain built in data type s, defining only the operations that can be done ... programming Type system Type theory Algebraic data type Generalized algebraic data type References ... Abstract data type in NIST Dictionary of Algorithms and Data Structures Data types DEFAULTSORT Abstract Data Type Category Type theory Category Abstract data types Category Data types ca Tipus ... Liskov , Programming with Abstract Data Types, in Proceedings of the ACM SIGPLAN Symposium on Very High Level Languages, pp. 50 59, 1974, Santa Monica, California ref For example, an abstract stack data structure could be defined by three operations code push code , that inserts some data item onto ... data on top of the structure to be examined without removal. When analysis of algorithms analyzing ... amount of storage for each element. Abstract data types are purely theoretical entities, used among other things to simplify the description of abstract algorithms, to classify and evaluate data structures ...   more details



  1. Statistical data type

    In statistics , a statistical data type is a random variable s that describe individual statistical data data points may be classified as belonging to separate types, e.g. categorical variable categorical red , blue , green vs. real number 1.68, 5, 1.7e 6 . The data type is a fundamental component of the semantic content of the variable, and controls which sorts of probability distribution s can logically be used to describe the variable, the permissible operations on the variable, the type of regression analysis used to predict the variable, etc. The data type is similar to the concept of level of measurement , but more specific For example, a random variable describing count data requires a different distribution e.g. a Poisson distribution or binomial distribution than one describing real valued data, but both fall under the same level of measurement. Simple data types The following table classifies the various simple data types, associated distributions, permissible operations, etc. Regardless of the logical possible values, all of these data types are generally coded using real number s, because the theory of random variable s often explicitly assumes that they hold real numbers. class wikitable Data Type Possible values Example usage Level of measurement Distribution Scale of relative differences Permissible statistics Regression analysis binary variable binary 0, 1 arbitrary labels binary outcome yes no , true false , success failure , etc. rowspan 2 nominal scale Bernoulli distribution Bernoulli rowspan 2 comparability incomparable rowspan 2 mode statistics mode , Chi ... categorical 1, 2, ..., K arbitrary labels categorical outcome specific blood type , political party ... of variation , logarithms generalized linear model with logarithm ic link Aggregate data types Data ... and the elements in the sequence are processed one by one. This is often used for data that can ... problem. Category Statistical data types ...   more details



  1. Array data type

    distinguish Array data structure In computer science , an array type is a data type that is meant to describe ... integer data types or other types that can be interpreted as integers, such as byte s and enumerated type s , and require that all elements have the same data type and storage size. Most of those ... , array types with one and two indices are often called vector type and matrix type , respectively. Language support for array types may include certain built in type built in array data types, some syntactic constructions array type constructors that the programmer may use to define such types and declare ..., in the Pascal programming language , the declaration code type MyTable array 1..4,1..2 of integer code , defines a new array data type called code MyTable code . The declaration code var A MyTable code then defines a variable code A code of that type, which is an aggregate of eight elements, each ... arbitrarily many elements of an array variable. In more theoretical contexts, especially in type theory and in the description of abstract algorithm s, the terms array and array type sometimes refer to an abstract data type ADT also called abstract array or may refer to an associative array , a mathematics mathematical model with the basic operations and behavior of a typical array type in most .... Depending on the language, array types may overlap or be identified with other data types that describe ... types are often implemented by array data structure s, but sometimes by other means, such as hash table ... 60 1960 , provided support for multi dimensional arrays. Abstract arrays An array data structure can be mathematically modeled as an abstract data structure an abstract array with two operations get A , I the data stored in the element of the array A whose indices are the integer tuple I . set A , I ... to effectively implement variables of such types as Array data structure array structures with indexing ... at any time. This choice precludes the implementation of array types as array data structures. That is, those ...   more details



  1. Graph (abstract data type)

    Data structures Categories DEFAULTSORT Graph Abstract Data Type Category Graph theory Category Graph data structures Category Abstract data types Interwikies es Grafo fa hr Graf struktura ... operations provided by a graph data structure G usually include code adjacent code G , x , y tests ... Different data structures for the representation of graphs are used in practice Adjacency list ... vertices. This data structure allows the storage of additional data on the vertices. Incidence list ... edge stores its incident vertices. This data structure allows the storage of additional data on vertices ... and columns represent destination vertices. Data on edges and vertices must be stored externally ... graph s See also Graph traversal for graph walking strategies Graph database for graph data structure persistency Graph rewriting for rule based transformations of graphs graph data structures GraphStream ... notes notes 18.pdf publisher Bell College chapter 18 Graph Data Structures Dead link date September ...   more details



  1. Queue (abstract data type)

    Image Data Queue.svg thumb 300px right Representation of a FIFO Queue In computer science , a queue IPAc en icon k ju respell kew is a particular kind of abstract data type or Collection computing collection in which the entities in the collection are kept in order and the principal or only operations on the collection are the addition of entities to the rear terminal position and removal of entities from the front terminal position. This makes the queue a FIFO computing First In First Out FIFO data structure . In a FIFO data structure, the first element added to the queue will be the first one to be removed. This is equivalent to the requirement that once an element is added, all elements that were added before have to be removed before the new element can be invoked. A queue is an example of a List of data structures Linear data structures linear data structure . Queues provide services in computer science , transport , and operations research where various entities such as data, objects, persons, or events are stored and held to be processed later. In these contexts, the queue performs the function of a Buffer computer science buffer . Queues are common in computer programs, where they are implemented as data structures coupled with access routines, as an abstract data structure ... lists. Such data structures may have not specified fixed capacity limit besides memory constraints ... tools like beanstalk d and Gearman See also Deque Priority queue Queueing theory Stack data structure ... Stacks and queues, pp.  200&ndash 204. William Ford , William Topp . Data Structures with C ..., pp.  386&ndash 390. Adam Drozdek . Data Structures and Algorithms in C , Third Edition. Thomson .... Citations Reflist External links Commons category Queue data structure http www.halpernwightsoftware.com ... VBScript implementation of stack, queue, deque, and Red Black Tree Data structures DADS Bounded queue boundedqueue DEFAULTSORT Queue Data Structure Category Abstract data types Category Articles ...   more details



  1. Set (abstract data type)

    refimprove date October 2011 In computer science , a set is an abstract data structure that can store ... in a set. Some set data structures are designed for static or frozen sets that do not change after .... An abstract data structure is a collection, or aggregate, of data. The data may be booleans, numbers, characters, or other data structures. If one considers the structure yielded by packaging Clarify date May 2012 or indexing, there are four basic data structures ref Citation first1 Eric C. R. last1 ... list array In this view, the contents of a set are a bunch, and isolated data items are elementary ... is a set of fields, not necessarily all of the same type . Implementations A set can be implemented ... data structure trees , trie s, or hash tables . A set can be seen, and implemented, as a partial associative array , in which the value of each key value pair has the unit type . Type theory In type ... of type math A math may be denoted by math 2 A math or math mathcal P A math . Subtypes and subsets may be modeled by refinement type s, and quotient set s may be replaced by setoid s. The characteristic ... if x in S 0, & mbox if x not in S end cases math In theory, many other abstract data structures ... operations. For example, an abstract heap data structure heap can be viewed as a set structure ... of a special type code sum S code returns the sum of all elements of S for some definition ... metric . Implementations Sets can be implemented using various data structure s, which provide different ... ordered sets. Other popular methods include Array data structure arrays . In particular ..., there are specialized set data structures such as the union find algorithm union find data structure ... set data structure using binary search trees. The Glasgow Haskell Compiler GHC implementation of Haskell ... 0.2.0.1 doc html Data Set.html code Data.Set code module, which implements a functional set data structure ... data structure based upon TCL lists. As noted in the previous section, in languages which do not directly ...   more details




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