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Relevant bibliographies by topics / Generalized Degrees of Freedom

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Journal articles

Academic literature on the topic 'Generalized Degrees of Freedom'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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Journal articles on the topic "Generalized Degrees of Freedom"

1

Hu, Shu-Ping. "Generalized Degrees of Freedom." Journal of Cost Analysis and Parametrics 9, no. 2 (2016): 93–111. http://dx.doi.org/10.1080/1941658x.2016.1191388.

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2

Sebastian, Joyson, and Suhas Diggavi. "Generalized Degrees of Freedom of Noncoherent Diamond Networks." IEEE Transactions on Information Theory 66, no. 8 (2020): 5228–60. http://dx.doi.org/10.1109/tit.2020.2983169.

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3

Barhoumi, Abdessatar, Bilel Kacem Ben Ammou, and Hafedh Rguigui. "Infinite degrees of freedom Weyl representation: Characterization and application." Infinite Dimensional Analysis, Quantum Probability and Related Topics 21, no. 01 (2018): 1850002. http://dx.doi.org/10.1142/s0219025718500029.

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By means of infinite-dimensional nuclear spaces, we generalize important results on the representation of the Weyl commutation relations. For this purpose, we construct a new nuclear Lie group generalizing the groups introduced by Parthasarathy [An Introduction to Quantum Stochastic Calculus (Birkhäuser, 1992)] and Gelfand–Vilenkin [Generalized Functions (Academic Press, 1964)] (see Ref. 15). Then we give an explicit construction of Weyl representations generated from a non-Fock representation. Moreover, we characterize all these Weyl representations in quantum white noise setting.

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4

Tu, I.-Ping, Su-Yun Huang, and Dai-Ni Hsieh. "The generalized degrees of freedom of multilinear principal component analysis." Journal of Multivariate Analysis 173 (September 2019): 26–37. http://dx.doi.org/10.1016/j.jmva.2019.01.010.

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5

Zeng, Peng, Qinqin Hu, and Xiaoyu Li. "Geometry and Degrees of Freedom of Linearly Constrained Generalized Lasso." Scandinavian Journal of Statistics 44, no. 4 (2017): 989–1008. http://dx.doi.org/10.1111/sjos.12288.

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6

Nagarajan, S., and D. A. Turcic. "Lagrangian Formulation of the Equations of Motion for Elastic Mechanisms With Mutual Dependence Between Rigid Body and Elastic Motions: Part II—System Equations." Journal of Dynamic Systems, Measurement, and Control 112, no. 2 (1990): 215–24. http://dx.doi.org/10.1115/1.2896128.

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The first step in the derivation of the equations of motion for general elastic mechanism systems was described in Part I of this work. The equations were derived at the elemental level using Lagrange’s equation and the generalized coordinates were both the rigid body degrees of freedom, and the elastic degrees of freedom of element ‘e’. Each rigid body degree of freedom gave rise to a scalar equation of motion, and the elastic degrees of freedom of element e gave rise to a vector equation of motion. Since both the rigid body degrees of freedom and elastic degrees of freedom are considered as generalized coordinates, the equations derived take into account the mutual dependence between the rigid body and elastic motions. This is important for mechanisms that are built using lightweight and flexible members and which operate at high speeds. A schematic diagram of how the equations of motion are obtained in this work is shown in Fig. 1 in Part I. The transformation step in the figure refers to the rotational transformation of the nodal elastic displacements (which were measured in the element coordinate system), so that they are measured in terms of the reference coordinate system. This transformation is necessary in order to ensure compatibility of the displacement, velocity and acceleration of the degrees of freedom that are common to two or more links during the assembly of the equations of motion. This final set of equations after assembly are obtained in closed form, and, given external torques and forces, can be solved for the rigid body and elastic response simultaneously taking into account the mutual dependence between the two responses.

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7

Shi, Junpeng, Guoping Hu, Xiaofei Zhang, and Hao Zhou. "Generalized Nested Array: Optimization for Degrees of Freedom and Mutual Coupling." IEEE Communications Letters 22, no. 6 (2018): 1208–11. http://dx.doi.org/10.1109/lcomm.2018.2821672.

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8

Sebastian, Joyson, and Suhas N. Diggavi. "Generalized Degrees Freedom of Noncoherent MIMO Channels With Asymmetric Link Strengths." IEEE Transactions on Information Theory 66, no. 7 (2020): 4431–48. http://dx.doi.org/10.1109/tit.2020.2978183.

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9

Abouraddy, Ayman F., Timothy M. Yarnall, and Bahaa E. A. Saleh. "Generalized optical interferometry for modal analysis in arbitrary degrees of freedom." Optics Letters 37, no. 14 (2012): 2889. http://dx.doi.org/10.1364/ol.37.002889.

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10

Gogilidze, S. A., V. V. Sanadze, and F. G. Tkebuchava. "Elimination of gauge degrees of freedom in the generalized Hamiltonian formalism." Theoretical and Mathematical Physics 79, no. 1 (1989): 391–96. http://dx.doi.org/10.1007/bf01015779.

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