invariancen.

/ɪnˈvɛːrɪəns/

Etymology: < invariant adj.: see -ance suffix.

Mathematics.

1. The character of remaining unaltered after a linear transformation; the essential property of an invariant. Hence applied to a similar property with respect to any transformation or operation. Also attributive.

ΘΚΠ

the world > relative properties > number > arithmetic or algebraic operations > transformation > [noun] > property of

invariance1878

invariancy1895

commutativity1929

commutativeness1949

homotopy1956

1878 J. J. Sylvester in Amer. Jrnl. Math. 1 77 It thus appears that every given homogeneous graph has an intrinsic character of capability or incapability of respondence to algebraical in- or co-variance.

1910 Sci. Abstr. A. 13 261 Mathematically these principles are represented by an invariance or co-variance with respect to certain transformations. These transformations are (1) for Newtonian mechanics the ‘Galilean transformation’..; (2) for Lorentz's electrodynamics the ‘Lorentz transformation’.

1919 A. N. Whitehead Enq. Princ. Nat. Knowl. 41 This invariance, with these formulae for transformation, does not extend to Maxwell's equations for the electromagnetic field.

1941 R. Courant & H. E. Robbins What is Math.? iii. 159 A particular consequence of the invariance of angle under inversion is that two circles or lines that are orthogonal, i.e. that intersect at right angles, remain orthogonal after an inversion.

1969 Observer 13 Apr. 1 These rules [sc. conservation laws of physics] are based on much more fundamental ideas about nature, called invariance principles.

1969 Observer 13 Apr. 2/6 The conservation of energy is a direct result of the principle of ‘time invariance’. This says that the laws of nature do not change with time.

2. gen. The property of remaining unaltered or of being the same in different circumstances; an instance of this, an invariant.

ΘΚΠ

the world > time > change > absence of change, changelessness > [noun]

unchangeabilityc1400

equability1531

unchangeableness1548

constancy1593

immutability1593

immutableness1610

oneness1611

unvariableness1611

irrevocability1613

unalterableness1620

fixedness1626

irreversiblenessa1631

equableness1641

invariability1644

irrevocableness1649

undiminishableness1653

invariableness1654

incommutability1674

intransmutability1692

inalterability1715

inconvertibleness1727

inchangeability1773

unimprovability1814

irreversibility1824

inconvertibilitya1832

unarbitrarinessa1834

changelessness1840

inadaptability1840

unalterability1847

unvaryingness1851

monotone1856

unmodifiableness1876

unchangingness1878

unchangedness1880

irreformability1883

plateau1897

homoeostasis1926

invariance1939

plateauing1957

the world > time > change > absence of change, changelessness > [noun] > something unchanging

leopard1382

the law of the Medes and Persiansc1384

constant1832

hardcore1916

invariance1939

invariant1939

facticity1964

1939 Mind 48 50 This (heuristic) principle of ethical invariance is what I wish to oppose to the principle of ethical relativity.

1956 R. Jakobson & M. Halle Fund. of Lang. iii. 28 The study of invariances within the phonemic pattern of one language must be supplemented by a search for universal invariances in the phonemic patterning of language.

1962 F. I. Ordway et al. Basic Astronautics xiii. 525 Drugs..might also minimize the psychological problems of space flight by reducing the tensions associated with sensory deprivation or invariance.

1964 Language 40 202 Concepts concerning the invariance of linguistic units.

1973 Sci. Amer. Feb. 26/1 The locations of nerve cells, the trajectories of nerve fibers and the spatial arrays of synaptic connections are invariant in all individuals of the same species. This invariance is termed neuronal specificity.

Derivatives

inˈvariancy n.

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