bound variables - определение. Что такое bound variables
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Что (кто) такое bound variables - определение

CLASSIFICATION OF VARIABLES IN A LOGIC FORMULA BASED ON WHETHER OR NOT THEY ARE INSIDE THE SCOPE OF A QUANTIFIER
Free variable; Bound variable; Variable binding operation; Variable-binding operation; Free variables; Bound variables; Unbound variable; Unbound variables; Variable-binding operator; Variable binding operator; Free and bound variables; Bound variable clash; Free and bound variable; Placeholder (computer programming); Free variables & bound variables; Free occurrence; Placeholder variable; Apparent variable
  • Tree summarizing the syntax of the expression <math>\forall x\, ((\exists y\, A(x)) \vee B(z)) </math>
Найдено результатов: 489
bound variable         
1. A bound variable or formal argument in a function definition is replaced by the actual argument when the function is applied. In the lambda abstraction x . M x is the bound variable. However, x is a free variable of the term M when M is considered on its own. M is the scope of the binding of x. 2. In logic a bound variable is a quantified variable. See quantifier.
free variable         
1. A variable referred to in a function, which is not an argument of the function. In lambda-calculus, x is a {bound variable} in the term M = x . T, and a free variable of T. We say x is bound in M and free in T. If T contains a subterm x . U then x is rebound in this term. This nested, inner binding of x is said to "shadow" the outer binding. Occurrences of x in U are free occurrences of the new x. Variables bound at the top level of a program are technically free variables within the terms to which they are bound but are often treated specially because they can be compiled as fixed addresses. Similarly, an identifier bound to a recursive function is also technically a free variable within its own body but is treated specially. A closed term is one containing no free variables. See also closure, lambda lifting, scope. 2. In logic, a variable which is not quantified (see quantifier).
Bound variable pronoun         
  • C-commanding configuration for bound variable pronoun adapted from Sportiche et al., 2014: 161, drawn using phpSyntaxTree
  • Simplified syntax tree adapted from Higginbotham (1980) example 94, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  •  Simplified syntax tree adapted from Higginbotham (1980) example 96, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  •  Simplified syntax tree adapted from Higginbotham (1980) example 98, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  •  Simplified syntax tree adapted from Y. Huang (1994) example 6.51b, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  • Simplified syntax tree adapted from Reinhart (1983) appendix example 4b, made with [http://ironcreek.net/phpsyntaxtree]
  • Simplified syntax tree adapted from Reinhart (1983) example 40b, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  •  Simplified syntax tree adapted from Y. Huang (1994) example 6.51a, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  • Simplified syntax tree adapted from Reinhart (1983) example 40a, made with [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  • "John thinks he is a nice fellow", adapted from Higginbotham, 1980: 682 (16), drawn using [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
  • "Mary likes herself", adapted from Sportiche et al., 2014: 161 (17), drawn using [http://ironcreek.net/phpsyntaxtree/? phpSyntaxTree]
  • "John saw him", adapted from Higginbotham, 1980: 682 (15), drawn using [http://ironcreek.net/phpsyntaxtree phpSyntaxTree]
Bound variable pronouns
A bound variable pronoun (also called a bound variable anaphor or BVA) is a pronoun that has a quantified determiner phrase (DP) – such as every, some, or who – as its antecedent.
Memphis Bound         
  • Bill Robinson in 1942
1945 MUSICAL
User:Lemuellio/Memphis Bound; Memphis Bound!
Memphis Bound (usually styled Memphis Bound!) is a 1945 American musical based on the Gilbert and Sullivan opera H.
Bousso's holographic bound         
TERM I PHYSICS
Holographic bound; Covariant entropy bound
The Bousso bound captures a fundamental relation between quantum information and the geometry of space and time. It appears to be an imprint of a unified theory that combines quantum mechanics with Einstein's general relativity.
Branch and bound         
  • the two lines.
ALGORITHM FOR OPTIMIZATION PROBLEMS
Branch and Bound; Least discrepancy search; Branch-and-bound algorithm; Branch and bound algorithm; Branch-and-bound; Branch-and-bound technique
Branch and bound (BB, B&B, or BnB) is an algorithm design paradigm for discrete and combinatorial optimization problems, as well as mathematical optimization. A branch-and-bound algorithm consists of a systematic enumeration of candidate solutions by means of state space search: the set of candidate solutions is thought of as forming a rooted tree with the full set at the root.
Snow-bound         
  • The home where ''Snow-Bound'' takes place is today preserved and open to the public as the [[John Greenleaf Whittier Homestead]].
BOOK AND POEM BY JOHN GREENLEAF WHITTIER
Snow-Bound: A Winter Idyl
·adj Enveloped in, or confined by, snow.
Snow-Bound         
  • The home where ''Snow-Bound'' takes place is today preserved and open to the public as the [[John Greenleaf Whittier Homestead]].
BOOK AND POEM BY JOHN GREENLEAF WHITTIER
Snow-Bound: A Winter Idyl
Snow-Bound: A Winter Idyl is a long narrative poem by American poet John Greenleaf Whittier first published in 1866. The poem, presented as a series of stories told by a family amid a snowstorm, was extremely successful and popular in its time.
Exchangeable random variables         
SEQUENCE OF RANDOM VARIABLES SUCH THAT, FOR ANY FINITE PERMUTATION OF THE INDICES, THE JOINT PROBABILITY DISTRIBUTION OF THE PERMUTED SEQUENCE EQUALS THAT OF THE ORIGINAL
Exchangeable events; Interchangeable random variables; Exchangeability; Exchangeable sequence; Exchangeable random variable; Exchangeable matrix; Exchangeable correlation matrix
In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered.
Function of several real variables         
FUNCTION WITH MORE THAN ONE ARGUMENT, WITH ALL ARGUMENTS BEING REAL VARIABLES
Multivariate function; Real multivariate function; Several real variables; Real multivariable function; Functions of several real variables; Multi-variable function; Function of multiple real variables; Multivariable function
In mathematical analysis and its applications, a function of several real variables or real multivariate function is a function with more than one argument, with all arguments being real variables. This concept extends the idea of a function of a real variable to several variables.

Википедия

Free variables and bound variables

In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation (symbol) that specifies places in an expression where substitution may take place and is not a parameter of this or any container expression. Some older books use the terms real variable and apparent variable for free variable and bound variable, respectively. The idea is related to a placeholder (a symbol that will later be replaced by some value), or a wildcard character that stands for an unspecified symbol.

In computer programming, the term free variable refers to variables used in a function that are neither local variables nor parameters of that function. The term non-local variable is often a synonym in this context.

An instance of a variable symbol is bound, in contrast, if the value of that variable symbol has been bound to a specific value or range of values in the domain of discourse or universe. This may be achieved through the use of logical quantifiers, variable-binding operators, or an explicit statement of allowed values for the variable (such as, "...where n {\displaystyle n} is a positive integer".) A variable symbol overall is bound if at least one occurrence of it is bound.pp.142--143 Since the same variable symbol may appear in multiple places in an expression, some occurrences of the variable symbol may be free while others are bound,p.78 hence "free" and "bound" are at first defined for occurrences and then generalized over all occurrences of said variable symbol in the expression. However it is done, the variable ceases to be an independent variable on which the value of the expression depends, whether that value be a truth value or the numerical result of a calculation, or, more generally, an element of an image set of a function.

Note that while the domain of discourse in many contexts is understood, when an explicit range of values for the bound variable has not been given, it may be necessary to specify the domain in order to properly evaluate the expression. For example, consider the following expression in which both variables are bound by logical quantifiers:

This expression evaluates to false if the domain of x {\displaystyle x} and y {\displaystyle y} is the real numbers, but true if the domain is the complex numbers.

The term "dummy variable" is also sometimes used for a bound variable (more commonly in general mathematics than in computer science), but this should not be confused with the identically named but unrelated concept of dummy variable as used in statistics, most commonly in regression analysis.