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.
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.