permutable
Definition
- Adjective:
- Capable of changing sequence: Describes elements that can be exchanged in order or position without affecting the outcome or validity of a system. Often used in mathematics, logic, and general contexts to describe interchangeable components.
Usage
- The adjective permutable is used to describe items, ideas, or operations whose order can be rearranged. It is a formal term, most common in academic or technical writing.
- It typically functions as a predicate adjective (following a linking verb like or ) or an attributive adjective (placed before a noun).
Examples
- As a predicate adjective:
- In this mathematical model, the two variables are permutable.
- The steps in the process are not permutable; they must be followed in sequence.
- As an attributive adjective:
- The system relies on permutable units that can be rearranged freely.
- They studied the properties of permutable operators in linear algebra.
Advanced Usage
- "permutable with": Used to specify the elements that can be interchanged with each other.
- Operator A is permutable with Operator B under these conditions.
- In group theory (mathematics), permutable subgroups are subgroups that satisfy a specific commutative property.
Variants and Related Words
- Permute (verb): To change the order or arrangement of a sequence.
- You can permute the letters to form different words.
- Permutation (noun): 1. The act of permuting. 2. Each specific arrangement that results from changing the order.
- The study examined all possible permutations of the data set.
- Commutative (adjective): A related but more specific term, often used in mathematics (e.g., commutative property) to indicate that the order of operation does not change the result (e.g., a + b = b + a).
Synonyms
- Interchangeable: Capable of being used in place of each other.
- Transposable: Capable of being switched or reversed in position.
- Exchangeable: Capable of being traded or swapped.
Antonyms
- Fixed: Securely placed and not subject to change.
- Immutable: Unchanging over time or not able to be changed.
- Noncommutative: Not permitting a change in order without changing the result (technical).
Adjective
-
capable of changing sequence
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