invariance

　

WordNet

1. the nature of a quantity or property or function that remains unchanged when a given transformation is applied to it; "the invariance of the configuration under translation"

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出典(authority):フリー百科事典『ウィキペディア（Wikipedia）』「2015/06/30 23:36:07」(JST)

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Invariant and invariance may have several meanings, among which are:

Computer science

• Invariant (computer science), an expression whose value doesn't change during program execution
  • Loop invariant, invariants used to prove properties of loops
• A data type in method overriding that is neither covariant nor contravariant
• Class invariant, invariants used to constrain objects of a class

Mathematics

• Invariant (mathematics), something unaltered by a transformation, for example: taking a homotopy group functor on the category of topological spaces. Then, homeomorphic spaces have isomorphic fundamental group.
  • topological invariant
• Invariant (physics), meaning that something does not change under a transformation, such as from one reference frame to another
• The Invariant Society, the Oxford student mathematics society

Other uses

• Invariant (linguistics), a word that does not undergo inflection
• Invariant (music)
• Writer invariant, property of a text which is similar in all texts of a given author, and different in texts of different authors
• Invariance (magazine), a French Communist journal

English Journal

• A multi-dimensional measure of vocational identity status.

• Porfeli EJ, Lee B, Vondracek FW, Weigold IK.SourceDepartment of Behavioral and Community Health Sciences, Northeastern Ohio Universities College of Medicine and Pharmacy, Rootstown, OH 44272, USA.
• Journal of adolescence.J Adolesc.2011 Oct;34(5):853-71. Epub 2011 Mar 11.
• Establishing a worker identity is among the most central aspects of the transition from adolescence to adulthood. Despite its importance, few measures with acceptable psychometric and conceptual characteristics exist to assess vocational identity statuses. This study reports the development and eval
• PMID 21396702

• A kernel-based framework to tensorial data analysis.

• Signoretto M, De Lathauwer L, Suykens JA.SourceKatholieke Universiteit Leuven, ESAT-SCD/SISTA Kasteelpark Arenberg 10, B-3001 Leuven, Belgium.
• Neural networks : the official journal of the International Neural Network Society.Neural Netw.2011 Oct;24(8):861-74. Epub 2011 Jun 12.
• Tensor-based techniques for learning allow one to exploit the structure of carefully chosen representations of data. This is a desirable feature in particular when the number of training patterns is small which is often the case in areas such as biosignal processing and chemometrics. However, the cl
• PMID 21703821

Japanese Journal

• Size distribution and shape properties of relatively small sea-ice floes in the Antarctic marginal ice zone in late winter

• Toyota Takenobu,Haas Christian,Tamura Takeshi
• Deep Sea Research Part II : Topical Studies in Oceanography 58(9-10), 1182-1193, 2011-05
• … Our analysis shows: 1) the scale invariance and regime shift are confirmed in both regions; … By applying a renormalization group method to interpret the scale invariance in floe size distribution, the fractal dimension is related to the fragility of sea ice. …
• NAID 120003089259

• Exactly and quasi-exactly solvable 'discrete' quantum mechanics.

• Sasaki Ryu
• Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 369(1939), 1301-1318, 2011-03-28
• … Namely, the intertwining relations, shape invariance, Heisenberg operator solutions, annihilation/creation operators and dynamical symmetry algebras, including the q-oscillator algebra and the Askey-Wilson algebra. …
• NAID 120003018619

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