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/Share-Alike 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
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Examples
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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?
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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?
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This principle of time invariance is enshrined in Noether’s Theorem.
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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 Einstein, Albert, 1879-1955 1950
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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 Nicki Pombier Berger 2009
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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 2010
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(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 Ladyman, James 2009
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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 2010
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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 2010
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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 2010
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