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Page 222 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 2, Issue
[page]

1896
*
American Mathematical Society. Bulletin of the American Mathematical Society
*

We may

*denote*the*transformation*for which b= p,b a 0 (r+ 8),*by*pl; and -*transformation*pI. A, defined*by*the equa- tions z/=pa,7,+pa,2,+°+pa,2, (r=1,2,--n) may be*denoted*aleby*by*p ‘A. ... Te n), will be*denoted**by*B A. If the*transformation*B is identical with A, this may be indicated*by*writing B= ; and in this case the transforma- tion BA=BB may be*denoted**by*B’. ...##
###
Cubic arcs in the projective plane over a finite field of order 16

2018
*
Iraqi Journal of Science
*

groups of which is

doi:10.24996/ijs.2018.59.3b.13
fatcat:uuswi2vbcnadzaqv5cgb25jr64
*denoted**by*contains One matrix of order 2; The identity matrix. ... groups of which is*denoted**by*contains One matrix of order 2. The identity matrix. ...##
###
2DFMT in the Range to & its Application with Some Function

2017
*
IOSR Journal of Mathematics
*

In the present paper, the two dimensional Fourier-Mellin

doi:10.9790/5728-1301034651
fatcat:rz7lmyeoivgtneyiycmiq4czfa
*Transform*(2DFMT) in the range of to is defined*by*using two dimensional Fourier-Laplace*transform*(2DFLT). ... Dirichlet Boundary Value Problem is solved*by*Mellin*Transform*[6] . ... If*denotes*the generalized Two Dimensional Fourier-Mellin*transform*of then Proof: -We have from (1.2) as- {Since*by*previous result} 1.11. ...##
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Page 372 of American Mathematical Society. Transactions of the American Mathematical Society Vol. 85, Issue 2
[page]

1957
*
American Mathematical Society. Transactions of the American Mathematical Society
*

the arithmetic mean

*transform*of the arithmetic mean*transform*of the sequence s, and we*denote*this*by*WM so that Dy = M™. ... As (1.5) shows, Dy, is the superior limit of the Abel*transform*of the arith- metic mean*transform*of s, and we*denote*this*by*AM so that D4 =AWM. ...##
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Page 54 of American Mathematical Society. Transactions of the American Mathematical Society Vol. 22, Issue 1
[page]

1921
*
American Mathematical Society. Transactions of the American Mathematical Society
*

Let K

*denote*the set of ares composed of AB and every are in R which, for some n, is*transformed**by*7, into a straight interval parallel to AB. ... such are is*transformed**by*7, into a straight line interval parallel to AB, (5) if n = 1 then for each m (less than 3") of the form 3k — 2, where k is a positive integer, the point Y,,,, is*transformed*...##
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Twistor space, Minkowski space and the conformal group

1983
*
Physica A: Statistical Mechanics and its Applications
*

The action of the conformal group on twistor space is given

doi:10.1016/0378-4371(83)90050-x
fatcat:76mgjnfeg5fn5ng5bwihlkv4j4
*by*an explicit realisation of this isomorphism. ... In this way we determine the*transformation*of twistor space under space inversion and time inversion. ... Let U be a semilinear*transformation*of .Y onto itself. The set {nU 1 i E@, i # 01 is called a ray of semilinear*transformations*and is*denoted**by*U. ...##
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Page 99 of Daedalus Vol. 36, Issue 6
[page]

1900
*
Daedalus
*

Then (e* eF) x, = e* (€ x,)
G=1,3.'.. a), and therefore
x’, = (e% e) 2,
= 1,2... 2)3 thus e*e®

*denotes*the result of the composition in the order named of the*transformations**denoted**by*e* and e*.**By*... Let S¢*denote*an infinitesimal constant. Since the*transformation*e* + 7 is infinitely near the*transformation*e*, the*transformation*e—* e+ %/v is an infinitesimal*transformation*. ...##
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Page 157 of American Mathematical Society. Bulletin of the American Mathematical Society Vol. 8, Issue
[page]

1902
*
American Mathematical Society. Bulletin of the American Mathematical Society
*

GENERATORS OF PARAMETER GROUPS. 157
quently the

*transformation*obtained*by*the successive ap- plication to the manifold z,, --, z,, in the order named, of the*transformations**denoted**by*T, and T, respectively ... of the group is generated*by*an infinitesimal*transformation*of the group. ...##
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Page 1703 of The Journal of Business Vol. 78, Issue 5
[page]

2005
*
The Journal of Business
*

*denoted*

*by*Ox } 2 ? ...

*denoted*

*by*2\[ g,(v); (11, o))]. ...

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Abstract

2001
*
Electronical Notes in Theoretical Computer Science
*

In this monograph we study the relationship between two different approaches to define the semantics of a program, namely the

doi:10.1016/s1571-0661(05)80520-1
fatcat:pg7zgvuszva7tflwckkvtu2vgq
*denotational*and the axiomatic one. ... We relate them to three*denotational*models based on state*transformation*. ... This is due to the fact that*denotationally*programs are identified with functions which*transform*states on the input space to (sets of) states of the output space, whereas axiomatically programs can ...##
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Some invariant $\sigma $-algebras for measure-preserving transformations

1972
*
Transactions of the American Mathematical Society
*

The factor space of X

doi:10.1090/s0002-9947-1972-0291413-7
fatcat:whdugehhezddxffrdwzffibwz4
*by*£ will be*denoted**by*X/Z and if F£ = £ the factor*transformation*induced*by*Fon Xft, will be*denoted**by*Fc. ... Throughout Fwill*denote*an invertible measure-preserving*transformation*of a Lebesgue space (X, 38, tri) [14] . ... The factor space of X*by*£ will be*denoted**by*X/Z and if F£ = £ the factor*transformation*induced*by*Fon Xft, will be*denoted**by*Fc. ...##
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Faster than Light: Again on the Lorentz Transformations

2016
*
Applied Physics Research
*

<p class="1Body">The Lorentz

doi:10.5539/apr.v8n6p17
fatcat:nx5kl42rv5euddfnekwwzo5pmm
*transformations*can be considered, without any doubt whatsoever, as the backbone of the theory of Special Relativity. ... The*transformations*can be alternatively deduced once assumed some noteworthy hypotheses concerning our Universe, among which the existence of at least a further spatial dimension stands out. ... the observer at rest, up until now*denoted**by*s OP , can be replaced*by*x. ...##
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Hit-or-miss representation of a pattern spectrum and its optical implementation

1996
*
Applied Optics
*

S is a subset of Z 2 and

doi:10.1364/ao.35.006888
pmid:21151287
fatcat:3fzdbts6tvhi5jdvvas6hyeedq
*denotes*a discrete binary The authors are with the ... We demonstrate that a pattern spectrum can be decomposed into the union of hit-or-miss*transforms*with respect to a series of structure-element pairs. ... The other two important morphological*transforms*5, 11 of X*by*S are opening,*denoted**by*the symbol ͑X͒, and closing,*denoted**by*the symbol ͑Y͒, and are defined as X X S ϭ ͑X S͒ S, X Y S ϭ ͑X S͒ S. ( ...##
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Defining Web Schema Transformers by Example
[chapter]

2003
*
Lecture Notes in Computer Science
*

In this paper, we present a way of defining schema

doi:10.1007/978-3-540-45227-0_6
fatcat:zkl6tdmpbndmhhjatbjmbvm76u
*transformers**by*example. ... Therefrom executable code necessary for performing*transformations*can be generated automatically. A*transformer*is applied to an input scheme*by*binding elements of the scheme to parameters. ... Instead, a small set of generic constructs, which are*denoted**by*annotating scheme elements, is sufficient to define and apply*transformers*. ...##
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The R Package trafo for Transforming Linear Regression Models

2019
*
The R Journal
*

We provide a framework implemented as an R-package, trafo, to help select suitable

doi:10.32614/rj-2019-054
fatcat:bcg5g6357zbx3odqud2vx2rs7m
*transformations*depending on the user requirements and data being analyzed. ... The package trafo contains a collection of selected*transformations*and estimation methods that complement and increase the breadth of methods that exist in R. ... In order to obtain z * i , the scaled glog*transformation*, given*by*y * i J(y) 1/n , and for simplicity, we use a modification of the definition of the geometric mean,*denoted*byȳ GL . ...
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