Incomplete Meshing Interference and Morphology of New Tooth Profile of Double Helical Synchronous Belt by Guo Jianhua, Chu Wenya, Li Wenhua, Wang Yu

“…In order to study the effect of partial meshing on the double helical synchronous belt tooth surface interference,by using the coordinate transformation theory,the partial meshing transmission model is established under the quasi- static condition. …”
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Metasurface cylindrical vector light generators based on nanometer holes by Haoran Lv, Xiaoqing Lu, Yuansheng Han, Zhen Mou, Changda Zhou, Shuyun Wang, Shuyun Teng

“…The order of the generated CVL is controlled by the rotation of the holes and its polarization state changes with the incident polarization condition. The base transformation theory guides is used to design the metasurface. …”
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On Prigogine's approaches to irreversibility: a case study by the baker map by S. Tasaki

“…However, the two theories are not equivalent. In the Λ-transformation theory, a bijective map Λ†−1:Φ→L2 is looked for and the evolution operator U of densities (the Frobenius-Perron operator) is transformed to a dissipative operator W=ΛUΛ−1. …”
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Propagation characteristics of acoustic emission wave in reinforced concrete by Haoxiong Feng, Weijian Yi

“…A new method on the basis of the acoustic emission technique and the Hilbert-Huang transform theory is proposed in this work. By using acoustic emission technique, the acoustic emission wave signal is generating while the real-time damage information and the strain field of the reinforced concrete structure is receiving simultaneously. …”
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Design and Meshing Analysis of 3-DOF Spherical Gears and Ring Racks by Liang Yong, Gu Peng, Gao Jianjun, Zhang Litong, Wang Baichao

“…According to the meshing principle of the spherical gear and the ring rack, the tooth surface equation and the meshing equation of the ring rack were deduced by using the space transformation theory. Then, according to the structural characteristics of the ring rack, the number of teeth of each layer of the ring rack when meshing with the spherical gear was deduced from the correct meshing conditions of the spherical gear and the arc-shaped teeth of the ring rack. …”
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Parallel computing methods to determine parametric generalized inverse matrices by S. H. Simonyan

“…Work objective is to develop matrix-vector and array computational methods for determining Moore-Penrose generalized parametric inverse matrices.Methods of research: when solving the problem in question the following methods were used: linear algebra methods, matrix theory, differential transformation theory, numerical technique theory, parallel computing theory, computer modeling methods and data engineering. …”
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Parallel computing methods to determine parametric generalized inverse matrices by S. H. Simonyan

“…Work objective is to develop matrix-vector and array computational methods for determining Moore-Penrose generalized parametric inverse matrices.Methods of research: when solving the problem in question the following methods were used: linear algebra methods, matrix theory, differential transformation theory, numerical technique theory, parallel computing theory, computer modeling methods and data engineering. …”
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Torsion driving cosmic expansion by Johannes Kirsch, David Vasak, Armin van de Venn, Jürgen Struckmeier

“…Abstract We study a cosmological model based on the canonical Hamiltonian transformation theory. Using a linear-quadratic approach for the free gravitational De Donder–Weyl Hamiltonian $$H_\textrm{Gr}$$ H Gr , the model contains terms describing a deformation of an AdS spacetime and a fully anti-symmetric torsion in addition to Einstein’s theory. …”
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A Case for Mezirow’s Transformative Learning by Rieswan Pangawira Kurnia

“…We should understand the forms, autonomous thinking in transformation theory, and the two domains of learning—instrumental and communicative—as well as their definitions, comparisons, and applications in adult learning. …”
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Males in Enabling: Painting a portrait through narrative by Frank Armstrong, Trixie James, Hermina Conradie, Shane Parker

“…This paper shares insights into what motivated the male students to enter university via an enabling pathway; the actual personal experiences both positive and negative during this time; and the effect that this commitment to study had on them personally and the people around them. The lens of transformative theory underpins this research through exploring frames of reference that align with the students’ experiences. …”
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Calculation and Analysis of Meshing Stiffness of Helical Gear Considering Installation Error by Liu Baoshan, Du Qungui, Wen Qi

“…According to the gear meshing principle and coordinate transformation theory the finite element model of helical gear meshing with the installation error is established,a finite element calculation method of the meshing stiffness of helical gear considering the installation error is proposed. …”
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Improvisation and ontology of art by Alessandro Bertinetto

“…By critiquing the principle of «no evaluation without identification» and referring to Peter Lamarque’s and Joseph Margolis’ views about art ontology, I propose a transformative theory of artworks, which is based on the thesis of the improvisational “nature” of artistic practices (a thesis that I conceive of as a particular form of CIE). …”
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Transformations for Piola-mapped elements by Aznaran, FRA, Farrell, P, Kirby, R

“…In this work we apply the novel transformation theory recently developed by Kirby [<i>SMAI J. …”

Co-evolution analysis of novel power system based on Brusselator model by Yunling Wang, Yunche Su, Fang Liu, Yang Liu, Tianxiang Xie, Ao Li, Ke Xu

“…Then, from the socio-technical system transformation theory, we analyze the evolutionary elements of macro-environmental level, meso-institutional level and micro-beneficial level in the process of system transformation in China and the interaction among them. …”
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Review of Wavelet Theory and Its Application Toimage Data Compression by Othman Omran Khalifa

“…In this paper, a brief review of wavelet transform theory is given using filters as examples to show the related multiresolution analysis. …”
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A Theoretical Review of Socio-Economic Dynamics and Structural Transformation of Society: Traits and Constraints in Validating Response Processes Due to Unpredictable Factors by Sergey Mikhailovich Vasin

“…Some widely known transformation theories of socio-economic systems are presented. …”
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Interaction of charged particles with localized electrostatic waves in a magnetized plasma by Ram, Abhay K., Kominis, Yannis, Hizanidis, Kyriakos

“…Charged particle interaction with localized wave packets in a magnetic field is formulated using the canonical perturbation theory and the Lie transform theory. An electrostatic wave packet characterized by a wide range of group and phase velocities as well as spatial extent along and across the magnetic field is considered. …”
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Start-Up Multilayer Electro-Osmotic Flow of Maxwell Fluids through an Annular Microchannel under Hydrodynamic Slip Conditions by Cesar A. Valencia, David A. Torres, Clara G. Hernández, Juan P. Escandón, Juan R. Gómez, René O. Vargas

“…The semi-analytic solution uses the Laplace transform theory. In the results, the velocity profiles and velocity tracking show the oscillatory behavior of flow, which strongly depends on the dimensionless relaxation time. …”
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Effective Ultra-High-Speed Identification Scheme of Lightning Strikes Suitable for VSC-Based DC Grids by Longlong Chen, Xiangyu Pei, Xiaoguang Wei, Pengzhi Li, Guangfu Tang

“…First, an 1-mode reverse voltage traveling wave (RVTW) is constructed applying the pole-mode transformation theory. Next, fault traveling wave propagation characteristics along the DC transmission line are analyzed in depth utilizing Peterson&#x0027;s law. …”
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The Compass Error Comparison of an Onboard Standard Gyrocompass, Fiber-Optic Gyrocompass (FOG) and Satellite Compass by Krzysztof Jaskólski, Andrzej Felski, Paweł Piskur

“…Transient characteristics and the spectrum analysis (based on the Fourier transform theory and headings descriptions in the frequency domain) are presented. …”
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