Invariant and invariance may refer to:
Computer science
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Invariant (computer science), an expression whose value doesn't change during program execution
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Loop invariant, a property of a program loop that is true before (and after) each iteration
* A data type in method overriding that is neither
covariant nor contravariant
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Class invariant, an invariant used to constrain objects of a class
Physics, mathematics, and statistics
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Invariant (mathematics), a property of a mathematical object that is not changed by a specific operation or transformation
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Rotational invariance In mathematics, a function defined on an inner product space is said to have rotational invariance if its value does not change when arbitrary rotations are applied to its argument.
Mathematics
Functions
For example, the function
:f(x,y) = x^2 ...
, the property of function whose value does not change when arbitrary rotations are applied to its argument
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Scale invariance, a property of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor
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Topological invariant
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Invariant (physics) In theoretical physics, an invariant is an observable of a physical system which remains unchanged under some transformation. Invariance, as a broader term, also applies to the no change of form of physical laws under a transformation, and is close ...
, something does not change under a transformation, such as from one reference frame to another
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Invariant estimator in statistics
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Measurement invariance Measurement invariance or measurement equivalence is a statistical property of measurement that indicates that the same construct is being measured across some specified groups. For example, measurement invariance can be used to study whether a give ...
, a statistical property of measurement
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Oxford University Invariant Society
The Oxford University Invariant Society, or 'The Invariants', is a university society open to members of the University of Oxford, dedicated to promotion of interest in mathematics. The society regularly hosts talks from professional mathematic ...
, an Oxford student mathematics club
Other uses
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Invariant (linguistics)
In linguistic morphology, inflection (or inflexion) is a process of word formation in which a word is modified to express different grammatical categories such as tense, case, voice, aspect, person, number, gender, mood, animacy, and defini ...
, a word that does not undergo inflection
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Invariant (music)
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Writer invariant, property of a text which is similar in all texts of a given author, and different in texts of different authors
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''Invariance'' (magazine), a French Communist journal
* ''
Invariances
''Invariances'' is a 2001 book by American philosopher Robert Nozick, his last book before his death in 2002.
Introduction
In the introduction, Nozick assumes "orthodox quantum mechanics" and draws inferences from it about indeterminism and nonl ...
'', a 2001 book by philosopher Robert Nozick
See also
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{{Disambiguation