permutable

Thân thiện

The children permutable the colorful blocks into different patterns.

Definition

1. 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).

Học thuật

Adjective

1. capable of changing sequence

Từ đồng nghĩa

• transposable