Invariant and invariance may refer to:
Computer science
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Invariant (computer science)
In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations of a certain type are applied to the objects. The particular class of objects ...
, an expression whose value doesn't change during program execution
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Loop invariant
In computer science, a loop invariant is a property of a program loop that is true before (and after) each iteration. It is a logical assertion, sometimes checked within the code by an assertion call. Knowing its invariant(s) is essential in und ...
, 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
In computer programming, specifically object-oriented programming, a class invariant (or type invariant) is an invariant used for constraining objects of a class. Methods of the class should preserve the invariant. The class invariant constrain ...
, an invariant used to constrain objects of a class
Physics, mathematics, and statistics
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Invariant (mathematics)
In mathematics, an invariant is a property of a mathematical object (or a class of mathematical objects) which remains unchanged after operations or transformations of a certain type are applied to the objects. The particular class of objects ...
, 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 ...
, the property of function whose value does not change when arbitrary rotations are applied to its argument
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Scale invariance
In physics, mathematics and statistics, scale invariance is a feature of objects or laws that do not change if scales of length, energy, or other variables, are multiplied by a common factor, and thus represent a universality.
The technical term ...
, 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
In topology and related areas of mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological property is a proper class of topological space ...
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Invariant (physics), something does not change under a transformation, such as from one reference frame to another
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Invariant estimator
In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain intuitive ...
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 giv ...
, 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 def ...
, a word that does not undergo inflection
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Invariant (music)
The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition first devised by Austrian composer Josef Matthias Hauer, who published his "law ...
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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
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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
