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Function that applies a set to itself
In mathematics, a transformation, transform, or self-map is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e
Transformation_(function)
Geometric transformation that preserves lines but not angles nor the origin
generally, an affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine
Affine_transformation
Concurrency control method for collaborative software
defined as operation context-based pre- and post- transformation conditions for generic OT functions; Third, it was defined as specific operation verification
Operational_transformation
Mathematical function, in linear algebra
Boolean function Bounded operator – Kind of linear transformation Cauchy's functional equation – Functional equation Continuous linear operator – Function between
Linear_map
Order-preserving mathematical function
monotonic transformation (or monotone transformation) may also cause confusion because it refers to a transformation by a strictly increasing function. This
Monotonic_function
Bijection of a set using properties of shapes in space
such that the function is bijective so that its inverse exists. The study of geometry may be approached by the study of these transformations, such as in
Geometric_transformation
Mathematical transformation
involutive transformation on real-valued functions that are convex on a real variable. Specifically, if a real-valued multivariable function is convex
Legendre_transformation
Central object in linear algebra; mapping vectors to vectors
_{n})\end{bmatrix}}} For example, the function T ( x ) = 5 x {\displaystyle T(x)=5x} is a linear transformation. Applying the above process (suppose that
Transformation_matrix
Operation on formal power series
In mathematics a transformation of a sequence's generating function provides a method of converting the generating function for one sequence into a generating
Generating function transformation
Generating_function_transformation
Function in statistics
learning, especially in data transformations. Mathematically, the logit is the inverse of the standard logistic function σ ( x ) = 1 / ( 1 + e − x )
Logit
Topics referred to by the same term
Transformation (function), concerning functions from sets to themselves. For functions in the broader sense, see function (mathematics). Affine transformation, in
Transformation
Concept in linear algebra
algebra, a Householder transformation (also known as a Householder reflection or elementary reflector) is a linear transformation that describes a reflection
Householder_transformation
Computer image processing technique
equalization (AHE) improves on this by transforming each pixel with a transformation function derived from a neighbourhood region. It was first developed for
Adaptive histogram equalization
Adaptive_histogram_equalization
Limiting form of small transformation
infinitesimal transformation that may have been recognised as such was in Euler's theorem on homogeneous functions. Here it is stated that a function F of n
Infinitesimal_transformation
Planar movement within a Euclidean space without rotation
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure, shape or space by the same distance in a given direction
Translation_(geometry)
Statistical transformation
Fisher transformation. To derive the Fisher transformation, one starts by considering an arbitrary increasing, twice-differentiable function of r {\displaystyle
Fisher_transformation
Partial differential equation
The Cole–Hopf transformation is a change of variables that allows to transform a special kind of parabolic partial differential equations (PDEs) with a
Cole–Hopf_transformation
Theory of cryptography
an "entropy pool", with input "poured into" the pool, and the transformation function referred to as "stirring the entropy pool". Note that input bits
Sponge_function
transformation semigroup (or composition semigroup) is a collection of transformations (functions from a set to itself) that is closed under function
Transformation_semigroup
Mathematical operation in quantum optics, general relativity and other areas of physics
The Bogoliubov transformation is often used to diagonalize Hamiltonians, with a corresponding transformation of the state function. Operator eigenvalues
Bogoliubov_transformation
Isomorphism of projective spaces in geometry
where }}ad-bc\neq 0,} which are called homographic functions or linear fractional transformations. In the case of the complex projective line, which can
Homography
Transformation method within a three-dimensional space
compute transformations between datums. The Helmert transformation is also called seven-parameter transformation. The Helmert transformation can be expressed
Helmert_transformation
Function that returns its argument unchanged
mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value
Identity_function
Geometric transformation
affine geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale
Scaling_(geometry)
conformal linear transformation, also called a homogeneous similarity transformation or homogeneous similitude, is a similarity transformation of a Euclidean
Conformal linear transformation
Conformal_linear_transformation
Process that changes pixel intensity
centered. Gamma correction (log/inverse log) is also a common transformation function. Intensity operations generally operate on a colorspace that maps
Normalization (image processing)
Normalization_(image_processing)
Generalized scaling operation in geometry
mathematics, a homothety (or homothecy, or homogeneous dilation) is a transformation of an affine space determined by a point S called its center and a nonzero
Homothety
Application of a function to each point in a data set
In statistics, data transformation is the application of a deterministic mathematical function to each point in a data set—that is, each data point zi
Data transformation (statistics)
Data_transformation_(statistics)
Matrix representing a Euclidean rotation
In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention
Rotation_matrix
functionalization (LSF) is a desired, chemical or biochemical, chemoselective transformation on a complex molecule to provide at least one analog in sufficient quantity
Late-stage_functionalization
Estimation method
transform (UT) is a mathematical function used to estimate the result of applying a given nonlinear transformation to a probability distribution that
Unscented_transform
Generalization of the Legendre transformation
the convex conjugate of a function is a generalization of the Legendre transformation which applies to non-convex functions. It is also known as Legendre–Fenchel
Convex_conjugate
Transformation of coordinates that moves the origin
similarly. A translation of axes is a rigid transformation, but not a linear map. (See Affine transformation.) Coordinate systems are essential for studying
Translation_of_axes
Mathematical relation assigning a probability event to a cost
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one
Loss_function
Geometric transformation combining reflection and translation
In geometry, a glide reflection or transflection is a geometric transformation that consists of a reflection across a hyperplane and a translation ("glide")
Glide_reflection
Classification algorithm
A whitening transformation or sphering transformation is a linear transformation that transforms a vector of random variables with a known covariance matrix
Whitening_transformation
Family of linear transformations
In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that
Lorentz_transformation
Practice of funding long-term assets with short-term liabilities
2014). "Rollover Risk and the Maturity Transformation Function of Banks". Bank of Canada Working Paper 2014–8. Maturity Transformation, Brad DeLong v t e
Maturity_transformation
Adoption of digital technology by an organisation
Digital transformation (DT) is the process of adoption and implementation of digital technology by an organization in order to create new or modify existing
Digital_transformation
Rational function of the form (az + b)/(cz + d)
In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form f ( z ) = a z + b c z + d {\displaystyle
Möbius_transformation
Function used to generate other functions
form of the harmonic oscillator Hamiltonian. The generating function F for this transformation is of the third kind, F = F 3 ( p , Q ) . {\displaystyle F=F_{3}(p
Generating_function_(physics)
Element mapped to itself by a mathematical function
change under a given transformation. Specifically, for functions, a fixed point is an element that is mapped to itself by the function. Any set of fixed
Fixed_point_(mathematics)
Analytic function on the upper half-plane with a certain behavior under the modular group
the transformation law is not an exact symmetry of the function, but more like the transformation law of a quasiperiodic function: the function picks
Modular_form
Family of functions to transform data
transform is a family of functions applied to create a monotonic transformation of data using power functions. It is a data transformation technique used to
Power_transform
Transformation of coordinates through an angle
is defined similarly. A rotation of axes is a linear map and a rigid transformation. Coordinate systems are essential for studying the equations of curves
Rotation of axes in two dimensions
Rotation_of_axes_in_two_dimensions
Proto-oncogene derived from polyomavirus SV40
transcriptional co-activators p300 and CBP, which may contribute to its transformation function. Similar proteins from related viruses are known as large tumor
SV40_large_T_antigen
Function defined by a hypergeometric series
hypergeometric function 2F1(a, b; c; z) is a special function represented by the hypergeometric series, that includes many other special functions as specific
Hypergeometric_function
Family of authenticated ciphers
and N. The initial state is transformed by applying a times the transformation function p ( p a {\displaystyle p^{a}} ). On encryption, each word of A
Ascon_(cipher)
Box–Cox transformation becomes: y = e z , {\displaystyle y=e^{z},} an exponential model. Therefore, the original inverse Box-Cox transformation contains
Response_modeling_methodology
Physics concept
transformation is best introduced with the transformation properties of the derivative of a function. Consider a scalar function f (like the temperature at a location
Covariant_transformation
Polynomial function of degree 3
there are only three graphs of cubic functions up to an affine transformation. The above geometric transformations can be built in the following way, when
Cubic_function
Transforming data by taking the logarithm
In statistics, the log transformation is the application of the logarithmic function to each point in a data set—that is, each data point zi is replaced
Log transformation (statistics)
Log_transformation_(statistics)
Endomorphism preserving the inner product
spaces (such as Hilbert spaces). In other words, a unitary transformation is a bijective function U : H 1 → H 2 {\displaystyle U:H_{1}\to H_{2}} between two
Unitary_transformation
Topics referred to by the same term
"Transform", a song by Your Memorial from Redirect, 2012 Transformation (function), concerning functions from sets to themselves Transform theory, theory of
Transform
Diagnostic plot of binary classifier ability
alarms) on non-linearly transformed x- and y-axes. The transformation function is the quantile function of the normal distribution, i.e., the inverse of the
Receiver operating characteristic
Receiver_operating_characteristic
Transformation of a geometric space preserving structure
rendering physical motion into expression as mathematical transformation. Frequently the transformation can be written using vector algebra and linear mapping
Motion_(geometry)
Concept in network engineering
{\displaystyle f} is an arbitrary transformation function. For f {\displaystyle f} to be a valid transformation function: f ( x ) ∈ [ 0 , 1 ] {\displaystyle
Fairness_measure
Mathematical function having a characteristic S-shaped curve or sigmoid curve
constructing sigmoid functions.. These include algebraic transformations, integration and convolution methods, constructions from bell-shaped functions, solutions
Sigmoid_function
Vector-valued function of multiple vectors, linear in each argument
multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is a function f : V 1 × ⋯ ×
Multilinear_map
Coordinate transformation that preserves the form of Hamilton's equations
derivative of a function known as a generator, which reduces to being only a function of time for restricted canonical transformations. In addition to
Canonical_transformation
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Mathematical function
identifying the transformation, γi is a multiplication factor common to these three functions, and the prime indicates the transformed function. The other
Jacobi_elliptic_functions
In the theory of special functions, Whipple's transformation for Legendre functions, named after Francis John Welsh Whipple, arise from a general expression
Whipple_formulae
Operation on mathematical functions
functions f: X → X, g: X → X having the same domain and codomain; these are often called transformations. Then one can form chains of transformations
Function_composition
Instantaneous rate of change (mathematics)
approximation to the graph of the original function. The Jacobian matrix is the matrix that represents this linear transformation with respect to the basis given
Derivative
Function, homomorphism, or morphism
refer to a morphism. The term transformation can be used interchangeably, but transformation often refers to a function from a set to itself. There are
Map_(mathematics)
Association of one output to each input
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the
Function_(mathematics)
Topics referred to by the same term
quadratic transformation may be A quadratic transformation in the Cremona group Kummer's quadratic transformation of the hypergeometric function This disambiguation
Quadratic_transformation
streams) and GIWs' ecological functions in five categories: source, sink, refuge, transformation and lag functions. These functions depend on the level of connectivity
Vulnerable_waters
Transformation of a polynomial induced by a transformation of its roots
polynomial transformation consists of computing the polynomial whose roots are a given function of the roots of a polynomial. Polynomial transformations such
Polynomial_transformation
Danish sociologist of law and legal theorist
constituted. In the edited volume The Law of Political Economy: Transformation in the Function of Law, the law of political economy is presented as a socio-legal
Poul_F._Kjaer
Class of statistical models
This can be avoided by using a transformation like cloglog, probit or logit (or any inverse cumulative distribution function). A primary merit of the identity
Generalized_linear_model
Function related to statistics and probability theory
A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability
Likelihood_function
Mathematical function that preserves angles
conformal map to another plane domain, the transformation is also harmonic. For this reason, any function which is defined by a potential can be transformed
Conformal_map
Smooth approximation of one-hot arg max
The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution
Softmax_function
Maps whose domain and codomain are acted on by the same group, and the map commutes
and when the function commutes with the action of the group. That is, applying a symmetry transformation and then computing the function produces the
Equivariant_map
Value that appears most often in a set of data
random variable, the mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi). In other words
Mode_(statistics)
Generalization of definite integrals to functions of multiple variables
domain has a circular symmetry and the function has some particular characteristics one can apply the transformation to polar coordinates (see the example
Multiple_integral
Mathematical transformation
In mathematics, the Stieltjes transformation Sρ(z) of a measure of density ρ on a real interval I is the function of the complex variable z defined outside
Stieltjes_transformation
Measure of the shape of a function
Moments of a function in mathematics are certain quantitative measures related to the shape of the function's graph. For example, if the function represents
Moment_(mathematics)
Branch of music theory
transformations on that space. Transformations are modeled as functions acting on the entire space, meaning that every transformation must be applicable to every
Transformational_theory
Function that takes two inputs
linear transformations. A bilinear transformation, like any binary function, can be interpreted as a function from X × Y to Z, but this function in general
Binary_function
Integral transform useful in probability theory, physics, and engineering
of the Riemann zeta function, and his method is still used to relate the modular transformation law of the Jacobi theta function, which is readily proved
Laplace_transform
Topics referred to by the same term
continuous-time and discrete-time representations Möbius transformation (complex analysis): a rational function of the form f(z) = (az + b) / (cz + d) Bilinear
Bilinear_transformation
Topics referred to by the same term
Lorentz distribution, Lorentzian function, or Cauchy–Lorentz distribution Lorentz lineshape (spectroscopy) Lorentz transformation Lorentzian manifold Lorentz
Lorentzian
Probability of survival beyond any specified time
certain time. The survival function is also known as the survivor function or reliability function. The term reliability function is common in engineering
Survival_function
Catalase-positive bacterium
chromosome and likely have increased DNA damage. To test whether transformation is an adaptive function for B. subtilis to repair its DNA damage, experiments were
Bacillus_subtilis
Genetic alteration of a cell by uptake of genetic material from the environment
In molecular biology and genetics, transformation is the genetic alteration of a bacterial cell resulting from the direct uptake and incorporation of exogenous
Genetic_transformation
Statistical test comparing two probability distributions
distribution function of the sample and the cumulative distribution function of the reference distribution, or between the empirical distribution functions of two
Kolmogorov–Smirnov_test
Property of many linear time-invariant (LTI) systems
z-transform, the output after the transformation is just the input multiplied by the corresponding transformation function, T(s) or T(z). Y(s) and Y(z) are
Infinite_impulse_response
Concept in applied statistics
The aim behind the choice of a variance-stabilizing transformation is to find a simple function ƒ to apply to values x in a data set to create new values
Variance-stabilizing transformation
Variance-stabilizing_transformation
Key concept in higher-order singular value decomposition of functions
model transformation was proposed by Baranyi and Yam as key concept for higher-order singular value decomposition of functions. It transforms a function (which
Tensor product model transformation
Tensor_product_model_transformation
Function whose actual domain of definition may be smaller than its apparent domain
a function which is injective may be inverted to a bijective partial function. The notion of transformation can be generalized to partial functions as
Partial_function
Smoothed ramp function
softplus function is the negative binary entropy function (with base e). This is because (following the definition of the Legendre transformation: the derivatives
Softplus
Description of continuous random distribution
probability density function (PDF), density function, or simply density of an absolutely continuous random variable, is a function whose value at any given
Probability_density_function
Mathematical operator acting on sequences
mathematics, a sequence transformation is an operator acting on a given space of sequences (a sequence space). Sequence transformations include linear mappings
Sequence_transformation
Theorem of convex functions
concave transformations). Jensen's inequality generalizes the statement that the secant line of a convex function lies above the graph of the function, which
Jensen's_inequality
Matrix of partial derivatives of a vector-valued function
y\\0&4\end{bmatrix}}} The transformation from polar coordinates (r, φ) to Cartesian coordinates (x, y), is given by the function F: R+ × [0, 2π) → R2 with
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Mathematical function for the probability a given outcome occurs in an experiment
often described by functions such as cumulative distribution functions, probability mass functions, or probability density functions. Which description
Probability_distribution
Mathematical term; type of polynomial transformation
f(x)=x^{n}+a_{1}x^{n-1}+a_{2}x^{n-2}+...+a_{n-1}x+a_{n}=0} the Tschirnhaus transformation is the function: y = k 1 x n − 1 + k 2 x n − 2 + . . . + k n − 1 x + k n {\displaystyle
Tschirnhaus_transformation
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
Male
Egyptian
, the son of the functionary Heknofre.
Male
Egyptian
, a great functionary.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English
English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.
Male
Egyptian
, an Egyptian functionary.
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Surname or Lastname
English and French
English and French : regional name from Old French Poitevin, denoting someone from Poitou in western France. The form Potvin has long been established in England and was brought to the U.S. from there. However, French bearers of the surname Poitevin also came to the New World, where their surname underwent a similar transformation on arrival in New England.
Male
Egyptian
, a high Egyptian functionary.
Surname or Lastname
English
English : from Middle English appel ‘apple’ (Old English æppel), acquired as a surname in any of various senses: a topographic name for someone living by an apple orchard; an occupational name for a grower or seller of apples; or a nickname for someone supposed to resemble an apple in some way, e.g. in having bright red cheeks. The economic importance in medieval northern Europe of apples, as a fruit that could be grown in a cold climate and would keep for use throughout the winter, is hard to appreciate in these days of rapid transportation and year-round availability of fruits of all kind.Americanized form of Appel or Apfel.
Surname or Lastname
English
English : habitational name from Lichfield in Staffordshire. The first element preserves a British name recorded as Letocetum during the Romano-British period. This means ‘gray wood’, from words which are the ancestors of Welsh llŵyd ‘gray’ and coed ‘wood’. By the Old English period this had been reduced to Licced, and the element feld ‘pasture’, ‘open country’ was added to describe a patch of cleared land within the ancient wood.English : habitational name from Litchfield in Hampshire, recorded in Domesday Book as Liveselle. This is probably from an Old English hlīf ‘shelter’ + Old English scylf ‘shelf’, ‘ledge’. The subsequent transformation of the place name may be the result of folk etymological association with Old English hlið, hlid ‘slope’ + feld ‘open country’.
Surname or Lastname
English
English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.
Male
Egyptian
, Functionary of the Interior.
Surname or Lastname
English
English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.
Biblical
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Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Male
Celtic
, great justiciary, or functionary.
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
Boy/Male
Tamil
Srivatsan | à®·à¯à®°à¯€à®µà®¤à¯à®¸à®¨
Brilliant, Lord venkateswara
Girl/Female
Hindu, Indian
Goddess
Surname or Lastname
English
English : of uncertain origin. If it is a habitational name, the location and etymology of the place from which it derives are obscure. Routledge, the more common form in the British Isles, is found mainly on the English-Scottish borders. The place in Cumbria, now called Routledge Burn, seems to have received its name in the 16th century from a member of the family rather than vice versa.
Boy/Male
Indian, Sanskrit
Protector
Surname or Lastname
English
English : topographic name for someone who lived by the outer wall of a castle, Middle English baile, from Old French bail(le) ‘enclosure’ (see Bailey 2).Spanish : variant of Baile.Indian (Karnataka) : Hindu (Brahman) name, probably a topographic name from Tulu bail ‘low-lying land’ (Dravidian vayal ‘plain’, ‘field’).
Boy/Male
Hindu
The Moon
Boy/Male
French
From the little oak tree.
Boy/Male
American, British, Danish, Dutch, English, Finnish, French, German, Greek, Hindu, Indian, Latin, Polish, Slavic, Swedish, Swiss
Flowery; Flourishing
Boy/Male
Muslim
The bestower
Girl/Female
German
Hostage
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
TRANSFORMATION FUNCTION
n.
Transformation; change of shape.
n.
Change of one from of material into another, as in assimilation; metabolism; metamorphosis.
n.
The imagined possible or actual change of one metal into another; transmutation.
n.
Conveyance; means of transportation.
n.
The act of transforming, or the state of being transformed; change of form or condition.
n.
Any change in an organism which alters its general character and mode of life, as in the development of the germ into the embryo, the egg into the animal, the larva into the insect (metamorphosis), etc.; also, the change which the histological units of a tissue are prone to undergo. See Metamorphosis.
n.
Something to be done; some transformation to be made upon quantities, the transformation being indicated either by rules or symbols.
a.
Relating to heterogenesis; as, heterogenetic transformations.
n.
The transformation of men into beasts.
n.
Transformation into the form of a human being.
n.
A change in disposition, heart, character, or the like; conversion.
n.
Transportation.
n.
Change of form, or structure; transformation.
n.
Freight transportation, or freight line.
n.
The change, as of an equation or quantity, into another form without altering the value.
n.
Change of form; transformation.
v.
Transportation; carriage; conveyance.
n.
The transportation of freight.
n.
Transport; ecstasy.
n.
Transportation; conveyance.