from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. the property of being invariant
from the GNU version of the Collaborative International Dictionary of English
- n. The property of remaining invariable under prescribed or implied conditions.
from The Century Dictionary and Cyclopedia
- n. In mathematics, the essential character of invariants; persistence after linear transformation.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it
- n. the quality of being resistant to variation
Sorry, no etymologies found.
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.
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.
In contrast, quantum theory depends on a more fundamental, non-local 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.
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]
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).
This would prevent our universe from ever reaching an exact state of conformal invariance in the far future.