Method of replacing the variables for generalized symmetry of the D'Alembert equation by Gennadii A. Kotel'nikov

“…We show that by the generalized understanding of symmetry, the D'Alembert equation for one component field is invariant with respect to arbitrary reversible coordinate transformations.…”
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Deep Learning-Based Robust Automated System for Predicting Human Sperm DNA Fragmentation Index by Roopini Sathiasai Kumar, Swapnil Sharma, Arunima Halder, Vipin Gupta

“…We classified the dataset into two, binary (halo/no halo) and multiclass (big/medium/small halo/degraded (DEG)/dust). …”
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The Performance of Different AgTiO2 Loading into Poly(3-Nitrothiophene) for Efficient Adsorption of Hazardous Brilliant Green and Crystal Violet Dyes by Sara A. Alqarni

“…Various methods were performed to confirm the fabrication of the binary P3NT/AgTiO2 NCs adsorbents, such as FTIR, XRD, SEM, and EDX. …”
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Isothermal section of the Ni-Mn-Sb ternary system at 773K by Ao W.-Q., Yu H.-Z., Liu F.-L., Liu F.-S., Li J.-Q., Du Y., Liu S.-H., Shi C.-Y.

“…The four binary compounds Ni3Sb (Cu3Ti structure, Pmmn space group), Ni5Sb2 (Ni5Sb2-type structure, C2 space group), NiSb2 (FeS2-type structure, Pnnm space group) and Mn2Sb (Cu2Sb-type structure, P4/nmm space group) in the binary systems Ni-Sb and Mn-Sb were stoichiometric compounds, the homogeneity ranges of which were negligible. …”
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A review of implicit algebraic constitutive relations for describing the response of nonlinear fluids by Rajagopal, Kumbakonam

“…We review the class of implicit algebraic constitutive relations for fluids which includes in its ambit those whose material properties depend on the invariants of the stress, the symmetric part of the velocity gradient, as well as their mixed invariants. …”
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F(R) Gravity’s Rainbow and Its Einstein Counterpart by S. H. Hendi, B. Eslam Panah, S. Panahiyan, M. Momennia

“…In this paper, we introduce charged black hole solutions with power Maxwell invariant source in the context of gravity’s rainbow. …”
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Automated strabismus detection and classification using deep learning analysis of facial images by Mahsa Yarkheir, Motahhareh Sadeghi, Hamed Azarnoush, Mohammad Reza Akbari, Elias Khalili Pour

“…The proposed deep learning model achieved an accuracy of 86.38% for binary classification and 92.7% for multi-class classification. …”
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Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ by Ayoub, Joseph

“…Morel’s conjecture on the $\mathbb{A}^1$-invariance of the sheaves of connected components of $\mathbb{A}^1$-local spaces.…”
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Asymptotic Behavior of a Class of Evolution Variational Inequalities by Ailing Qi

“…We establish a new LaSalle's invariance principle and discuss the asymptotic behavior of a class of first-order evolution variational inequalities.…”
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Calculation of steel ingots hardening with account of admixtures displacement in the liquid phase by Yu. A. Samoilovich, V. I. Timoshpolsky, O. G. Hopova, I. L. Numeranova

“…Methods of calculation of binary alloy castings crystallization process are given, which take into account the effect of dissolving admixtures redistribution between solid and liquid phases.…”
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Printed Persian Subword Recognition Using Wavelet Packet Descriptors by Samira Nasrollahi, Afshin Ebrahimi

“…The proposed algorithm is used to extract font invariant and size invariant features from 87804 subwords of 4 fonts and 3 sizes. …”
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Extremum Modified First Zagreb Connection Index of n-Vertex Trees with Fixed Number of Pendent Vertices by Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali

“…The modified first Zagreb connection index ZC1∗ is a graph invariant that appeared about fifty years ago within a study of molecular modeling, and after a long time, it has been revisited in two papers ((Ali and Trinajstić, 2018) and (Naji et al., 2017)) independently. …”
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Modeling and Assessment of Long Afterglow Decay Curves by Chi-Yang Tsai, Jeng-Wen Lin, Yih-Ping Huang, Yung-Chieh Huang

“…The appearance of the luminescence intensity is less correlated to the decay constants than to the time-invariant constants in an equation.…”
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Tidal Reconstruction of Neutron Star Mergers from Their Late Inspiral by Souradeep Pal, Rajesh Kumble Nayak

“…We investigate the measurement correlation between the effective spin and the effective tidal deformability in gravitational-wave signals from binary neutron star mergers. To efficiently measure the effective tidal deformability parameter, we exploit the fact that the tidal effects in a binary system are prominent when the components are closer, during the late inspiral. …”
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Research on Pneumothorax Classification Model of DenseNet Based on Multilayer Network Optimization by Hongliang Huang, Qike Wang, Lidong Wang

“…This article establishes the DenseNet based on multilayer network optimization (DenseNet-MNO) using a binary dataset of pneumothorax. This method optimizes multiple network layers and ensures the convergence of the neural network by reducing the learning rate with each iteration. …”
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Factor structure of the Cognitive Fusion Questionnaire in university students from Lima by Pablo D. Valencia, César Falcón

“…It also examined whether such structure was invariant between males and females. Results: Data supported the hypothesized unidimensionality, as well as strict invariance. …”
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Equivariant geometry of singular cubic threefolds by Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang

“…We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.…”
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n-Digit Benford Converges to Benford by Azar Khosravani, Constantin Rasinariu

“…Using the sum invariance property of Benford random variables, we prove that an n-digit Benford variable converges to a Benford variable as n approaches infinity.…”
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An extension of a theorem of Sahab, Khan, and Sessa by A. R. Khan, N. Hussain

“…A fixed point theorem of Fisher and Sessa is generalized to locally convex spaces and the new result is applied to extend a recent theorem on invariant approximation of Sahab, Khan, and Sessa.…”
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Intersections of Translation of a Class of Self-Affine Sets by Jian Lu, Yuru Zou, Lijing Wang

“…Intersections of translation of a class of self-affine sets are investigated by constructing sofic affine-invariant sets which coincide with these sets and then a scheme for computing the Hausdorff dimensions of these intersections is given.…”
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