inversion

Inversion (from Latin inversio 'reversal' ) or as an adjective inverse , inverted , as a verb invert , generally stands for a conclusion about the effect of a system on the cause (see inverse problem ). The possibility of inverting an entity is called invertibility .

In particular, the term describes the following:

Mathematics and physics:

the inversion of a bijective function, see Inverse function
when examining algebraic structures, see inverse element
a methodology in Boolean algebra, see Shannon's inversion theorem

the inversion of a matrix in matrix calculations, see Inverse Matrix

the mutual representation of sequences of numbers by means of sums, see inversion (discrete mathematics)

in geometry the reflection on a circle or a sphere, see inversion (geometry)

especially the reflection at one point, see point reflection

especially a point reflection of the room, see room reflection

in a permutation in combinatorics and group theory, see deficit

a simulation method in probability calculation, see inversion method

in logic the reverse of a calculus rule, see inverse rule

a method of reconstructing a number theoretic function from its summation function, see Möbius inversion

an energetically excited state of a quantum mechanical ensemble, see population inversion

the conclusion of measured values on parameters of a model, see e.g. B. tomography , quantum tomography

Technology:

an operating state of an MIS field effect transistor, see inversion (semiconductor)
the reversal of an information assignment in information technology, see inverted file
the inversion of positive to negative or vice versa in photography and reproduction technology, see inverting (image processing)
an implementation paradigm that is used in object-oriented programming, see Inversion of Control
a principle in object-oriented design of software, see Dependency Inversion Principle
the rollover or overhead elements in the course of the track, see inversion (roller coaster)

Earth sciences:

in geophysics the calculation of structures of the subsurface by gravimetry, magnetics, etc., see inversion problem of potential theory

in geology the formation of a mountain from a tectonic hollow, see relief reversal

in crystallography an arrangement, inverse spinels, see spinels #crystall structure

in meteorology a weather situation that is characterized by an upper warm and a lower cold air layer, see inversion weather situation

Chemistry, biology, medicine:

a change in the spatial configuration in a chemical reaction, see inversion (chemistry)
in the case of emulsions, the change in type from water in oil to oil in water, see phase inversion
turning a certain DNA segment over, see inversion (genetics)
the superposition of the three movements supination, adduction and plantar flexion of the foot, see foot # movement sequences of the foot
the structure of the retina, with the light-sensitive cells "reversed" in layers furthest away from the light, see vertebrate eye
in sex education and psychology of the 19th century the reversal of the sex drive to same-sex persons, see homosexuality

Humanities:

a grammatical phenomenon in the area of word order, see inversion (language)
the deviating word order as a rhetorical figure, see anastrophe (rhetoric)
different situations in music, see inversion
in philosophy the retrospective representation of the future, see inversion (philosophy)
In terms of cultural history, the change in the term from the Old Testament through various stages to the postmodern period, see reversal
in Christianity also a formally required and / or internally performed action, such as metanoia , see conversion (religion)

See also:

Wiktionary: invers - explanations of meanings, word origins, synonyms, translations

Wiktionary: Inversion - explanations of meanings, word origins, synonyms, translations

Wiktionary: invert - explanations of meanings, word origins, synonyms, translations

Wiktionary: inverted - explanations of meanings, word origins, synonyms, translations