Structure-preserving learning for multi-symplectic PDEs by Süleyman Yıldız, Pawan Goyal, Peter Benner

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The Geometry of Concepts: Sparse Autoencoder Feature Structure by Yuxiao Li, Eric J. Michaud, David D. Baek, Joshua Engels, Xiaoqing Sun, Max Tegmark

“…We find that the quality of such parallelograms and associated function vectors improves greatly when projecting out global distractor directions such as word length, which is efficiently performed with linear discriminant analysis. (2) The “brain” intermediate-scale structure has significant spatial modularity; for example, math and code features form a “lobe” akin to functional lobes seen in neural fMRI images. …”
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An SMS fiber structure for seismocardiography (SCG) monitoring by F.R. Agustiyanto, A.M. Hatta, D. Arifianto, M. Radityo, P.S. Maulana, B.S. Pikir

“…It is found that a linear vibration response of the SMS fiber structure within a frequency range of 0–180 Hz can be utilized for SCG monitoring that requires a low-frequency range of 0–25 Hz. …”
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Optimal Design of Welded Structure Using SVM by Sebghatullah Jueyendah, Carlos Humberto Martins

“…Engineers and researchers can develop more efficient, load-resistant, reliable, and cost-effective structures using optimization techniques, Sensitivity Analysis (SA), and support vector machine (SVM) applications. …”
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On the Vertical Structure of Oceanic Mesoscale Tracer Diffusivities by Wenda Zhang, Christopher L. P. Wolfe

“…Previous studies have primarily focused on the horizontal structure of mixing, but what controls its vertical structure is still unclear. …”
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The use of complex structure splines in roadway design by V. I. Struchenkov, D. A. Karpov

“…The previously proposed two-step scheme for designing paths of linear structures is also suitable for the utilization of compound splines with clothoids.…”
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Determinants of the capital structure of TSL sector enterprises by Jędrzejczak-Gas Janina

“…It was to achieve the set goal that the correlation analysis and the linear regression method were used. Both correlation analysis and regression analysis have not confirmed the significance of all seven capital structure determinants. …”
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Magnetic Field Structures In and Around Seyfert Galaxy Outflows by Salmoli Ghosh, Preeti Kharb, Biny Sebastian, Jack Gallimore, Alice Pasetto, Christopher P. O’Dea, Timothy Heckman, Stefi A. Baum

“…We find signatures of organized magnetic ( B ) field structures in the cores, jets, and lobes of these galaxies. …”
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Study of structural-mechanical properties of the ointment base by V. V. Rudenko

“…With increasing shear rate curves offset voltage gradually grow, and then pass in a direct, which testifies to the gradual full destruction of the structure. It should be noted that the largest index of viscosity of structural model has the composition, which contains a mixture of stearic acid, emulsifier No.1 in the ratio of 2.5 % and 5.5 % respectively, which is used for further researches. …”
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APPLICABILITY OF SIMILARITY CONDITIONS TO ANALOGUE MODELLING OF TECTONIC STRUCTURES by Mikhail A. Goncharov

“…In any case, a researcher should have a clear vision of conditions applicable to each particular experiment.(2) Application of similarity conditions is often challenging due to unavoidable difficulties caused by the following: a) Imperfection of experimental equipment and technologies (Fig. 1 to 3); b) uncertainties in estimating parameters of formation of natural structures, including main ones: structure size (Fig. 4), time of formation (Fig. 5), deformation properties of the medium wherein such structures are formed, including, first of all, viscosity (Fig. 6), ultimate strength, and tectonic stresses which caused formation of such structures (Fig. 7).(3) A way to overcome the above mentioned difficulties can be found through awareness of the fact that physical similarity conditions are often met per se, i.e. automatically observed due to linear relationships between similarity coefficients (Fig. 8). …”
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Crack paths and the linear elastic analysis of cracked bodies by L. P. Pook

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Crack paths and the linear elastic analysis of cracked bodies by L. P. Pook

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Line structure representation for road network analysis by Stephen Marshall

“…This paper introduces the line structure—identified mathematically as a kind of linearly ordered incidence structure—as a means of representing road network structure and demonstrates its relation to existing representations of road networks: the “primal” graph, the “dual” graph, and the route structure. …”
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Bloch-band structure of cavity optomechanical oscillations by Shulin Ding, Bing He, Yucheng Wu, Yong Hu, Han Wang, Wenjie Wan, Min Xiao, Xiaoshun Jiang

“…By an energy transfer picture, we build up a connection between the highly nonlinear OMOs and a Bloch-band structure that can be solved linearly. Quantitatively, this picture uncovers the underlying mechanism of the optimization of the pump detuning and optical decay rate, as well as the determination of the minimum input pump power, for sustaining a cavity OMO.…”
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Probing structural alterations in shock compressed GaAs by Mithun Bhowmick, Dhanalakshmi Sellan, Kade Johnson, Kenneth Mikolaichik, Xuan Zhou, Amlan Das, Chari Ramkumar, Brenden A. Magill, Nicholas W. G. Smith, Giti A. Khodaparast

“…An alternative is applying a one-time shock wave to GaAs, transforming the material to a precisely controllable, permanently pressurized structure. In this study, laser-driven flyer plate experiments were conducted in crystalline GaAs to probe permanent structural changes induced by shock compression. …”
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Variable-rank imaging and testing of multi-frames for line array of ultrasonic guided waves with weld scattering by Xinjie ZHU, Yongtao LI, Mingxi DENG, Sen YAO, Jie ZHANG

Subjects: “…weld structure…”
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A Single Layer Neural Network Implemented by a <inline-formula><tex-math notation="LaTeX">$4\times 4$</tex-math></inline-formula> MZI-Based Optical Processor by Farhad Shokraneh, Simon Geoffroy-Gagnon, Mohammadreza Sanadgol Nezami, Odile Liboiron-Ladouceur

Subjects: “…optical matrix multiplication structures…”
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Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation by Ming Mei, Yau Shu Wong

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Diffusion in a Comb-Structured Media: Non-Local Terms and Stochastic Resetting by Ervin Kaminski Lenzi, Derik William Gryczak, Luciano Rodrigues da Silva, Haroldo Valentin Ribeiro, Rafael Soares Zola

“…We examine the dynamics of a system influenced by a backbone structure, incorporating linear non-local terms that account for both irreversible and reversible processes, such as absorption and adsorption–desorption. …”
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Model checking programs in process-oriented IEC 61131-3 Structured Text by Natalia O. Garanina, Sergey M. Staroletov, Vladimir E. Zyubin, Igor S. Anureev

“…The poST language is a promising process-oriented extension of the IEC 61131-3 Structured Text (ST) language designed to provide a conceptual consistency of the PLC source code with technological description of the process under control. …”
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