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.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun the
property of beinginvariant
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 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 selfdefeating?

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 selfdefeating?

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

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

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

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).

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

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 timeindependent 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
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