Transformation (2023 bytes)
2: [[de:Transformation]]
3: *'''Transformation''' has two meanings in [[molecular biology]]:
4: **[[Transformation (genetics)|Transformation]] is the genetic alteration of a [[cell (biology)...
5: **Transformation is also the process by which normal cells are con...
6: ...], [[transformation group]]; also [[infinitesimal transformation]].

Transformation (novel) (200 bytes)
1: ''Transformation'' is a [[2000]] [[novel]] by [[Carol Berg]]. It ...
7: [[Category:Fantasy books|Transformation]]

Tschirnhaus transformation (1817 bytes)
1: ...ry)|primitive element]]. This is the most general transformation of an [[irreducible polynomial]] that takes a roo...
15: ...a; over ''K'', we can call ''Q'' a '''Tschirnhaus transformation''' of ''P''.
17: ...hen described (in one way) as all the Tschirnhaus transformations of ''P'' to itself.

Infinitesimal transformation (3215 bytes)
3: ... form of ''small'' [[transformation (mathematics)|transformation]]. For example one may talk about an '''[[infinit...
9: ...a]] are exactly those definitive of infinitesimal transformations, just as the axioms of [[group theory]] embody [...
13: The earliest example of an infinitesimal transformation that may have been recognised as such was in '''E...
25: ... information is in fact coded in an infinitesimal transformation that is a [[first-order differential operator]].
35: ...it shows in effect that ''D'' is an infinitesimal transformation, generating translations of the real line via the...

Conformal transformation (845 bytes)
1: ...ndent scalar function.The importance of conformal transformations for [[electromagnetism]] was brought to light by...
3: ...], the [[Group (mathematics)|group]] of conformal transformations is the [[special orthogonal group]]
7: ...pace: all [[holomorphic function]]s are conformal transformations, except where their derivative is zero.

Transformation matrix (5414 bytes)
1: ...n [[linear algebra]] and [[geometry]], a [[linear transformation]] can be represented by [[matrix multiplication]]...
7: ...ations much easier, such as for [[compositions of transformations]].
11: ...ed using a 3×3 transformation matrix. Such transformations are useful, for example, in [[2D computer graphi...
15: ... all points <math>(x,y)</math>. The corresponding transformation matrix calculation is:
49: ===Composite transformations===

Parity transformation (857 bytes)
1: In [[physics]], '''parity transformation''' is the simultaneous sign flip of all coordinat...
5: ...sional spaces, it is usual to redefine the parity transformation so that it flips the sign of an ''odd'' number of...
7: In [[quantum mechanics]], the parity transformation <math>P</math> becomes an operator that squares t...

Transformation (genetics) (1329 bytes)
1: ...ncorporation efficiency much more. An example of transformation is bT [[cotton]], which incorporates BT genes whi...

Covariant transformation (14124 bytes)
1: In [[physics]], a '''covariant transformation''' is a rule (specified below), that describes ho...
2: ...ms of the old basis, is defined as a '''covariant transformation'''. Conventionally, indices identifying the basis...
3: ... lower and upper indices, are [[invariant]] to a transformation.
12: ...fferent way, the inverse called the contravariant transformation rule.
19: ...s are rotated to the left. The'' '''contravariant transformation''' ''is a rotation to the left.'' <br clear=all>

Transformation geometry (833 bytes)
2: In [[mathematics]], '''transformation geometry''' is a name for a pedagogic theory for ...
4: ...)|matrix]] computations are required. The tide of transformation geometry retreated, leaving behind some [[Vector ...

Projective transformation (58542 bytes)
1: ...e important in projective geometry. A projective transformation can also be called a '''projectivity'''.
3: A projective transformation can be in the (real) one-dimensional [[projective...
5: ==Transformations on the Projective Line==
6: ...lane which contains the ''x''-axis upon which the transformation will be performed.
13: ...tic]] description of a one-dimensional projective transformation. It is now desired to convert it to an [[analyti...

Householder transformation (1916 bytes)
1: .... In general [[Euclidean space]] it is a [[linear transformation]] that describes a reflection in a [[hyperplane]]...
3: The Householder transformation was introduced 1958 by [[Alston Scott Householder...
9: ...th>I</math> is the [[identity matrix]] the linear transformation described above is given by the '''Householder ma...
23: ...tiple of a standard basis vector, calculating the transformation matrix, multiplying it with the original matrix a...
26: [[de:Householdertransformation]]

Transformation theory (2347 bytes)
1: '''Transformation theory''', first explained by [[George Land]] (al...

Business transformation (417 bytes)
1: '''Business transformation''' is a key executive management initiative that ...
3: Business transformation is achieved through efforts from the business and...

Weyl transformation (504 bytes)
1: In [[theoretical physics]], the '''Weyl transformation''' is a local rescaling of the [[metric tensor]]:
5: ...ariance]] of a theory or an expression under this transformation is called the '''Weyl symmetry'''. It is an impor...

Malignant transformation (1122 bytes)
1: Malignant transformation is the change of cells from [[benign]] to [[malig...
3: ...ation is a synonym for progression to malignancy. Transformation may take place as a primary or a secondary proces...
5: ...samines]]. It is also thought that some malignant transformation is due to viruses such as the [[Epstein-Barr]] vi...

Bogoliubov transformation (1820 bytes)
1: ...he '''Bogoliubov transformation''' is a [[unitary transformation]] from a [[unitary representation]] of some [[can...
19: The equation above defines the Bogoliubov transformation of the operators.
21: ...e</math> and they can be viewed as the Bogoliubov transformations of one another using the [[operator-state corres...
23: In [[physics]], the Bogoliubov transformation is important for understanding of the [[Unruh eff...

Fisher transformation (644 bytes)
1: ...ing population, can be tested using the '''Fisher transformation''' applied to ''r''.
3: ==Definition of the Fisher transformation==
5: Let ''N'' be the sample size. The transformation is defined by:

Transformation language (349 bytes)
1: A '''transformation language''' is a [[computer language]] designed t...
3: [[Macro]] languages are a kind of transformation languages.
8: [[Category:Transformation languages|*]]

Transformation semigroup (2631 bytes)
13: * of a '''semigroup S''' is by '''transformations''' of a state-set Q.
18: ... = |S|+1 states suffice for its representation by transformations of Q : either Q = S , or
24: ...sformations of a (state-) set implies the name '''transformation semigroup''' , and its essential importance for t...
26: ...ot* commutative, since ab and ba may be different transformations of Q, just as ''f(g(x)) =/= g(f(x))'' in general...
28: ''Transformation Semigroups'' form the basic algebra for '''Finite...

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