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Invariance - Meaning, Definition & English Examples

Invariance refers to the property of remaining unchanged under specific conditions or transformations. It is commonly used in mathematics, physics, and statistics to describe consistent behavior despite variations.

invariance

/ɪnˈvɛriəns/ /ɪnˈveəriəns/

Definition:

The property of remaining unchanged under specific transformations or conditions.

Synonyms:

constancy, stability, uniformity, consistency

Part of Speech:

noun

Antonyms:

variability, changeability, fluctuation

Common Collocations:

mathematical invariance, scale invariance, time invariance, rotational invariance

Derivatives:

invariant, invariantly

Usage Tips:

Use "invariance" to describe unchanging properties in math, physics, or systems under transformations like rotation or scaling.

Common Phrases:

principle of invariance, symmetry and invariance, law of invariance

Etymology:

Derived from Latin "invariantia," meaning "unchanging," combining "in-" (not) and "variantia" (variation).

Examples:

  • 1. The laws of physics exhibit invariance under time translation.
  • 2. Mathematicians study the invariance of geometric shapes under rotation.
  • 3. Her theory relies on the scale invariance of natural patterns.
  • 4. The experiment confirmed the invariance of light speed in a vacuum.

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