equivalence

/i'kwivələns/ Cách viết khác : (equivalency) /i'kwivələnsi/
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equivalence

The two equations demonstrate mathematical equivalence.

Definition
  1. Noun:
    • The condition of being equal or equivalent in value, function, amount, or meaning. It describes a state where two or more things are essentially the same in a specified, comparable way.
    • A relationship of logical equivalence, often used in mathematics, logic, or formal systems to indicate that two statements or expressions have the same truth value or meaning.
Examples of Usage
  • Noun:
    • The translator aimed to achieve semantic equivalence between the original text and the translation.
    • In chemistry, the equivalence of the two reactions was demonstrated by their identical energy outputs.
    • There is a formal equivalence between the two mathematical theorems.
Advanced Usage
  • "Principle of equivalence": A fundamental concept in physics, particularly in Einstein's theory of general relativity, stating that gravitational and inertial forces are of a similar nature.

    • The principle of equivalence is a cornerstone of modern gravitational theory.
  • "Functional equivalence": Used in various fields (e.g., law, engineering, linguistics) to denote that different things serve the same purpose or produce the same result.

    • The court recognized the functional equivalence of the two safety mechanisms.
  • "Logical equivalence": In logic and mathematics, a relationship between two statements where they are either both true or both false in every possible scenario.

    • The two formulas, while differently structured, are in a relationship of logical equivalence.
Variants and Related Words
  • Equivalent (adj/n): Having the same value, function, or meaning. A thing that is equivalent to another.

    • One dollar is roughly equivalent to one hundred yen.
    • This local herb is considered an equivalent to the imported spice.
  • Equivalency (n): A less common variant, synonymous with "equivalence," often used in specific contexts like academic credential evaluation.

    • The board assessed the equivalency of his foreign degree.
Synonyms
  • Parity: Equality, especially of status or pay.
  • Correspondence: A close similarity, connection, or equivalence.
  • Congruence: Agreement or harmony; compatibility. In geometry, identical in form.
  • Interchangeability: The ability of things to be exchanged for each other without loss of function or value.
Antonyms
  • Difference: The state or condition of being dissimilar or unlike.
  • Inequivalence: Lack of equivalence.
  • Disparity: A great difference or inequality.
Related Phrases and Concepts
  • "On a par with": Equal to; at the same level as.

    • Her latest novel is on a par with her greatest works.
  • "Beyond compare": So good that nothing can be said to be equal to it.

    • The beauty of the landscape was beyond compare.
  • "Equivalence relation": In mathematics, a relation that is reflexive, symmetric, and transitive, formally defining what it means for elements to be equivalent in a set.

    • "Is equal to" and "is congruent to" are classic examples of an equivalence relation.
equivalence

The two equations demonstrate mathematical equivalence.

Noun
  1. qualities that are comparable
    • no comparison between the two books
    • beyond compare
  2. essential equality and interchangeability
  3. a state of being essentially equal or equivalent; equally balanced
    • on a par with the best