Linear Canonical Transformation
Study on a Spinorial Representation of Linear Canonical Transformation
... of linear canonical ...concerning linear canonical transformations and phase space representation of quantum ...of linear canonical transformations which permits to represent ...
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Dispersion Operators Algebra and Linear Canonical Transformations
... operators algebra, linear canonical transformation and a phase space representation of quantum 14.. mechanics that we have introduced and studied in previous works.[r] ...
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Classical and Quantum Behavior of Generalized Oscillators in Terms of Linear Canonical Transformations
... a linear canonical transformation in position and momentum and apply this to a genelarized ...of linear canonical transformations. One is the transformation to a time-dependent ...
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Learning Dynamic Generator Model by Alternating Back-Propagation through Time
... non-linear transformation of a latent state vector, where the non-linear transformation is parametrized by a top-down neu- ral ...non-linear transformation of the state vec- tor ...
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Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain
... The method proposed in [11] discusses the SRC relation in the discrete time linear canonical transform domain (DTLCT). Unlike the method in [11], in this paper, we derive a new SRC operation related to the ...
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New Inequalities and Uncertainty Relations on Linear Canonical Transform Revisit
... the linear canonical transform (LCT) and the traditional Pitt’s inequality, one novel Pitt’s inequality in the LCT domains is obtained, which is connected with the LCT parameters a and ...
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Generalized Discrete Entropic Uncertainty Relations on Linear Canonical Transform
... [16] G. L. Xu, X. T. Wang and X. G. Xu, “The Entropic Un- certainty Principle in Fractional Fourier Transform Do- mains,” Signal Processing, Vol. 89, No. 12, 2009, pp. 2692-2697. ...
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Inverse Spectral Theory for a Singular Sturm Liouville Operator with Coulomb Potential
... The transformation of the general second order equation to canonical form and the asymptotic formulas for the eigenvalues and eigenfunctions was given by ...
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On the Linear Transformation in White-box Cryptography
... possible linear combinations of the bits in the target inter- mediate ...the linear transformation regardless of the HW of block invertible ...32×32 linear transformation on the ...
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Transformation of Linear Spaces and Linear Operators by Inverse Reversion
... 'Strong' and 'weak ' limits, derivatives and integrals of sectionally continuous matrix functions [ fx c.. in Sections 10 and 11, and the representation of elements of and.[r] ...
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p27 kip1 expression limits H-Ras-driven transformation and tumorigenesis by both canonical and non-canonical mechanisms
... H- or K-Ras activity was tested. p27 expression was also reported to be necessary to mediate the inhibition of H-Ras-induced transformation induced either by STAT1 or by dominant negative Rho, likely in a ...
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CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM
... In this paper, the canonicalization of constrained Hamiltonian system is discussed. Because the constrained Hamiltonian equations are non-canonical, they lead to many limitations in the research. For this purpose, ...
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Fast Linear Algorithms for Machine Learning
... The main contribution of this paper is to directly tackle CCA as a nonconvex optimiza- tion problem and propose a novel Augmented Approximate Gradient (AppGrad) scheme and its stochastic variant for finding the top k ...
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Relationship between sampling and multirate filterbanks in the linear canonical transform domain
... Multirate filterbanks have found applications in speech processing, image processing, communications, and in the development of new sampling theorems. This paper explores the relationship between sampling theorems and ...
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CANONICAL DESCRIPTION OF GROUP THEORY: A LINEAR ORDER ON ALL FINITE GROUPS
... in canonical form because there are no identical ...single canonical tree. Every branch on the canonical tree of a set number X corresponds to a natural number k ∈ ...The canonical tree ...
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Convolution for The Offset Linear Canonical Transform with Gaussian Weight and Its Application
... Abstract: This paper presents the convolution for the offset linear canonical transform (OLCT) with the Gaussian weight and its applications. The product theorem is also studied. In applications, some ways ...
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Visualisation of quadratic discriminant analysis and its application in exploration of microbial interactions
... a transformation that maximises the between class variance relative to the within class ...Fisher’s transformation to the canonical space is given by the vectors m:p × 1 which successively maximise ...
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Application of linear transformation in numerical calculation
... Linear transformation is one of the core content of linear ...and linear vector space memory link. Concept of linear transformation is the transformation of coordinates in ...
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Components Of Variance, Linear And Canonical Correlation Soybean Cultivars
... iii) the third canonical pair with correlation of 0.62, associates plants with lower FDI as well as higher NRMS (traits of Group II) as determinants for smaller TGM, as well as greater NGML and NPP. The lowest ...
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II.P RELIMINARY A. The Linear Canonical Transform (LCT)
... Based on the properties of the LCT, the FrFT, and the classical WVD, Pei and Ding [19] investigated the WVD and ambiguity function (AF) of the signal F a , b , c , d u and discuss the relations among the common ...
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