invariance love

# invariance

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun The condition or quality of being unchanging; constancy.
• noun The property of being mathematically invariant.

### from The Century Dictionary.

• noun In mathematics, the essential character of invariants; persistence after linear transformation.

### from the GNU version of the Collaborative International Dictionary of English.

• noun (Math.) The property of remaining invariable under prescribed or implied conditions.

• noun the property of being invariant

• noun the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it
• noun the quality of being resistant to variation

## Etymologies

Sorry, no etymologies found.

## Examples

• Since a cell would be generated through an OOL process, would'nt having to presume the existence of one and the genome in it to refute the contention that a measure of genomic invariance is necessary, not be self-defeating?

• Since a cell would be generated through an OOL process, would'nt having to presume the existence of one and the genome in it to refute the contention that a measure of genomic invariance is necessary, not be self-defeating?

• This principle of time invariance is enshrined in Noether’s Theorem.

The perpetual motion machine « Anglican Samizdat

• Considered formally, the admission of a coordinate system which is accelerated with respect to the original "inertial" coordinates means the admission of non-linear coordinate transformations, hence a mighty enlargement of the idea of invariance, i.e., the principle of relativity.

Out Of My Later Years

• In contrast, quantum theory depends on a more fundamental, non-local topological invariance which is well known to be free of metrical constraints.

The Birdcage

• They almost always break the Lorentz invariance which is always a huge problem because the Lorentz invariance is one of the key experimentally verified principles underlying modern science (special relativity is crucial in particle physics).

The Reference Frame

• (1953, 149), and: “The feature which suggests reality is always some kind of invariance of a structure independent of the aspect, the projection” (149).

Structural Realism

• This is applicable for discrete and continuous symmetries (although no time reversal symmetries) that are associated with invariance under unitary transformations.

Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day

• There is, in fact, a most elegant generalization, in the context of quantum mechanics, which is applicable to all symmetries, discrete and continuous, that are associated with invariance under unitary transformations. [ref]

Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day

• Now suppose that our Lagrangian has a time-independent symmetry (we mean a symmetry as an invariance: something does not change under a set of transformations).

Special Post: Noether’s First Theorem – Emmy Noether for Ada Lovelace Day