BOUND VARIABLE Meaning and
Definition
-
A bound variable is a term used in mathematics and formal logic to describe a variable that is restricted or "bound" to a certain scope within a larger logical expression or formula. It is contrasted with a free variable, which can take on any value from a given set.
In mathematical notation, a bound variable is typically represented by a quantifier symbol (such as ∀ or ∃) followed by a variable symbol, within a logical statement or formula. This binding of the variable indicates that its value is determined by the context in which it is used, rather than being freely assignable.
The scope of a bound variable is the portion of the logical expression or formula where that variable is relevant and has meaning. Outside of this scope, the variable is undefined or meaningless.
Bound variables are often used in formal logic to express general statements about a given domain or to specify the existence or uniqueness of certain elements. For example, the statement "∀x (x > 0)" asserts that for every value of the bound variable "x", that value is greater than zero. Here, "x" is a bound variable, indicating that its value is restricted to the scope of the universal quantifier (∀), which applies to the entire logical statement.
Common Misspellings for BOUND VARIABLE
- vound variable
- nound variable
- hound variable
- gound variable
- biund variable
- bkund variable
- blund variable
- bpund variable
- b0und variable
- b9und variable
- boynd variable
- bohnd variable
- bojnd variable
- boind variable
- bo8nd variable
- bo7nd variable
- boubd variable
- boumd variable
- boujd variable
- bouhd variable
Etymology of BOUND VARIABLE
The word "bound" in the context of a bound variable comes from the concept of binding. In logic and mathematics, a bound variable refers to a variable that is "bound" or restricted to a specific scope or range of quantification.
The term "bound variable" originated in the field of formal logic, and its meaning has been extended to computer science and mathematics. The word "bound" emphasizes that the variable is limited or constrained within a particular context or expression.
In logic, variables can be either "bound" or "free". A bound variable occurs within a specific scope, such as a quantifier, and its meaning and range are determined by that scope. On the other hand, a free variable is not restricted to any particular scope and can take on different values.
Overall, the etymology of the word "bound variable" is rooted in the idea of restriction or confinement within a certain context within logical and mathematical frameworks.
Infographic
Add the infographic to your website:
