Definitions

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

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?

    Another Protozoan and Front-Loading

  • 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

  • This would prevent our universe from ever reaching an exact state of conformal invariance in the far future.

    Archive 2009-05-01

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