invariance Definition
the quality of remaining unchanged when subjected to a particular operation or transformation.
Using invariance: Examples
Take a moment to familiarize yourself with how "invariance" can be used in various situations through the following examples!
Example
The invariance of the laws of physics is a fundamental principle of science.
Example
The invariance of the shape of a circle under rotation is an example of a mathematical property.
Example
The invariance of the results under different experimental conditions is a hallmark of good research.
invariance Synonyms and Antonyms
Synonyms for invariance
Antonyms for invariance
Phrases with invariance
a principle in physics that states that certain properties of a system remain unchanged under specified transformations
Example
The invariance principle is a key concept in the study of symmetry and conservation laws.
a theorem in mathematics that states that certain properties of a function remain unchanged under specified transformations
Example
The invariance theorem is a powerful tool for proving theorems in many branches of mathematics.
invariant subspace
a subspace of a vector space that is preserved under a given linear transformation
Example
The concept of invariant subspaces plays an important role in the study of linear algebra and quantum mechanics.
Summary: invariance in Brief
The term 'invariance' [inˈverēəns] refers to the quality of remaining unchanged when subjected to a particular operation or transformation. It is a fundamental principle of science, exemplified by the invariance of the laws of physics. Invariance extends into phrases like 'invariance principle,' and 'invariant subspace,' denoting specific concepts in physics and mathematics.
