exchangeability
/iks,tʃeindʤə'biliti/
Học thuậtThân thiện
Definition
- Noun:
- The quality or state of being capable of being exchanged or interchanged: This refers to the property of an item, concept, or role that allows it to be swapped for another without loss of function, value, or meaning.
Usage and Examples
- Noun:
- The exchangeability of the parts means any component can be replaced quickly. (This highlights the quality of the parts being mutually replaceable.)
- A key principle in economics is the exchangeability of goods and services for money. (This describes the inherent quality of goods and services that makes them tradable.)
- The lack of exchangeability between the two currencies created a problem for travelers. (This uses the noun to indicate the absence of the quality of being interchangeable.)
Advanced Usage and Concepts
- In mathematics and logic: "Exchangeability" is a formal property in probability theory and statistics, referring to a sequence of random variables whose joint probability distribution does not change when their positions are swapped.
- The assumption of exchangeability is fundamental to certain Bayesian models.
- In linguistics: It can refer to the property of linguistic units (like words or phrases) that can be substituted for one another in a structure without making it ungrammatical.
- The exchangeability of these adjectives in the sentence demonstrates their similar syntactic function.
Variants and Related Words
- Exchangeable (adj): Capable of being exchanged.
- The tokens are exchangeable for prizes at the counter.
- Interchangeability (n): A very close synonym, often used interchangeably with "exchangeability," though sometimes "interchangeability" emphasizes functional substitution, while "exchangeability" can emphasize mutual replacement in trade or value.
- Fungibility (n): A specific type of exchangeability, particularly in finance and commerce, where individual units are essentially identical and mutually substitutable (e.g., ounces of gold, shares of the same company stock).
Synonyms
- Interchangeability: The ability of things to be used in place of each other.
- Convertibility: The quality of being able to be changed in form, character, or function.
- Substitutability: The capability of serving as a substitute.
Antonyms
- Uniqueness: The quality of being the only one of its kind.
- Incompatibility: The state of being unable to exist or work together in combination.
- Specificity: The quality of belonging or relating uniquely to a particular subject.
Noun
- the quality of being capable of exchange or interchange