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 inverse map - Definition 

Inverse (1971 bytes)
1: '''''Inverse''''' typically means the opposite of something.
5: * [[Inverse chain rule method]] - Related to integration and ...
6: * [[Inverse element]] - an element ''x''<sup>&minus;1</sup> s...
7: * [[Inverse function]] - in mathematics, a function that "rev...
8: ** [[Inverse functions and differentiation]]

Inverse function (3069 bytes)
3: ...r>X</var>, then <var>f</var><sup> -1</sup> is its inverse function if and only if for every <math>x \in X</...
7: ...nction ''x'' &rarr; 3''x'' + 2 is given, then its inverse function is ''x'' &rarr; (''x'' - 2) / 3. This is...
12: ...se trigonometric function]]s, eg arcsin x for the inverse of sin(x).
14: ...example, we can prove ''f'' <sup> -1</sup> is the inverse by substituting (''x'' - 2) / 3 into ''f'', so
18: For a function ''f'' to have a valid inverse, it must be a [[bijection]], that is:

La Pyramide Inversée (5544 bytes)

Inverse limit (5628 bytes)
1: ...)|category]], but we will initially only consider inverse limits of [[group (mathematics)|groups]].
7: We start with the definition of an '''inverse system''' of [[group (mathematics)|groups]] and [...
10: ...''i''</sub>, ''f''<sub>''ij''</sub>) is called an inverse system of groups and morphisms over ''I''.
12: We define the '''inverse limit''' of the inverse system (''A''<sub>''i''</sub>, ''f''<sub>''ij''</...
14: ... the ''i''th component of the direct product. The inverse limit and the natural projections satisfy a [[uni...

Inverse multiplexer (2460 bytes)
1: ...ltiple lower data rate communications links. An inverse multiplexor differs from a [[demultiplexer]] in t...
8: ...rate data---inverse mux |--low rate link #2--|(de)inverse mux--DCE
13: ... that the "de-inverse mux" will actually be an '''inverse mux'''.
15: Inverse muxes are used, for example, to combine a number ...
17: ...tween each separate link. Advantages of using an inverse mux over separate links include

Inverse surveillance (10763 bytes)
5: '''Inverse [[surveillance]]''', sometimes known by the [[neo...
7: ...general concept of sousveillance goes beyond just inverse surveillance and the associated 20th Century poli...
9: ... of sousveillance, and thus defined the notion of inverse surveillance as a new and interesting facet of st...
11: ...sonal sousveillance and other concepts related to inverse surveillance==
16: ... surveillance, so targeted sousveillance is often Inverse Surveillance ('''hierarchical sousveillance''').

Inverse agonist (235 bytes)
1: In [[pharmacology]], an '''inverse agonist''' is an agent which binds to the same [[...

Inverse (logic) (928 bytes)
1: ...statement of the form ''P implies Q'' then the '''inverse''' of ''S'' is a statement of the form ''(not P) ...
3: ...tatement "If I am a human, then I am mortal." The inverse of ''S'' is the statement "If I am not a human, t...
5: A truth table makes it clear that ''S'' and the inverse of ''S'' are not logically equivalent:
8: |+ Truth Table for an Implication and Its Inverse

Inverse scattering (726 bytes)
1: '''Inverse scattering''', or the '''inverse scattering problem''', is the problem of determin...
3: It is the [[inverse problem]] to the '''direct scattering problem''',...

Inverse probability (736 bytes)
1: In [[probability theory]], '''inverse probability''' is an obsolete term for the [[prob...
3: ...nditional on an unobserved variable &theta;, the "inverse probability" is the [[posterior distribution]] ''...
5: The terms "direct probability" and "inverse probability" were in use until the middle part of...

Inverse parser (1031 bytes)
1: An '''inverse parser''', as its name suggests, is a parser that...
3: Inverse parsers are uncommon, but this is most likely bec...
6: ...JCGD_Volume_6/Inverse_Parser.html How to Build an Inverse Parser], an essay by Chris Crawford originally pu...

Inverse iteration (2233 bytes)
1: In [[numerical analysis]], '''inverse iteration''' is an [[Iterative method|iterative]]...
9: The inverse iteration algorithm [[Convergence|converges]] fai...
11: The inverse iteration algorithm requires solving a [[System o...

Inverse kinematics (1784 bytes)
1: '''Inverse kinematics''' is the process of determining the m...
3: ... the figure. The more difficult solution to the ''inverse kinematics problem'' is to find the joint angles ...
5: ...earance rather than joint angles. Applications of inverse kinematic algorithms include [[interactive manipu...
7: ''See also:'' [[Inverse kinematic animation]]
10: ...//freespace.virgin.net/hugo.elias/models/m_ik.htm Inverse Kinematics algorithms]

Additive inverse (1359 bytes)
1: The '''additive inverse''', or '''opposite''', of a [[number]] <i>n</i> i...
2: The additive inverse of <i>n</i> is denoted &minus;<i>n</i>.
5: * The additive inverse of 7 is &minus;7, because 7 + (&minus;7) = 0;
6: * The additive inverse of &minus;0.3 is 0.3, because &minus;0.3 + 0.3 = ...
9: The additive inverse of a number is its [[inverse element]] under the [[binary operation]] of addit...

Inverse problem (6152 bytes)
1: The '''inverse problem''' is the task that often occurs in many ...
3: The inverse problem can be formulated as follows:
7: ...arth's atmosphere|atmosphere]], [[gravity]] etc. Inverse problems arise for example in [[geophysics]], med...
9: ...s being recast in discrete form. In this case the inverse problem will typically be ''ill-conditioned''. Se...
11: ...m. In other words, it is an attempt to solve the inverse problem.

Inverse relationship (341 bytes)
1: A negative, or '''inverse relationship''' is a [[mathematical relationship]...
3: For example, there is an inverse relationship between education and unemployment. ...

Inverse element (1886 bytes)
1: ...on]], in relation to [[addition]] (see [[additive inverse]]), and [[reciprocal]], in relation to [[multipli...
3: ...''', of <var>y</var>. An element with a two-sided inverse is called '''invertible'''.
5: ... <var>y</var> has both a left inverse and a right inverse, then they are equal.
7: ...-sided inverse; therefore a left inverse or right inverse implies the existence of the other one.
10: *[[additive inverse]]

Inverse graph (292 bytes)
1: ...ertex|vertices]] as G, but the [[edge|edges]] are inversed, i.e., where there was a [[edge]], there isn't, ...

Inverse Doppler effect (1780 bytes)
1: ...ules may be interchanged. That would create an '''inverse Doppler effect'''.

Inverse functions and differentiation (2804 bytes)
1: ...tion]] for a formal and detailed definition). The inverse of <math>f</math> is denoted <math>f^{-1}</math>....
17: ...th> x </math> is 1. Geometrically, a function and inverse function have graphs that are [[reflection]]s, in...
21: ...>y = x^2</math> (for positive <math>x</math>) has inverse <math>x = \sqrt{y}</math>.
32: * <math>y = e^x</math> has inverse <math> x = \ln (y)</math> (for positive <math>y</...
49: ...hat functions with [[continuous]] derivative have inverses in a [[neighbourhood]] of every point where the ...

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