Infinitely Many Solutions for a Superlinear Fractional p-Kirchhoff-Type Problem without the (AR) Condition by Xiangsheng Ren, Jiabin Zuo, Zhenhua Qiao, Lisa Zhu

“…We only consider the non-Ambrosetti-Rabinowitz condition to prove our results by using the symmetric mountain pass theorem.…”
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A Test Matrix for an Inverse Eigenvalue Problem by G. M. L. Gladwell, T. H. Jones, N. B. Willms

“…We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2. …”
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The Caffarelli–Kohn–Nirenberg inequalities for radial functions by Mallick, Arka, Nguyen, Hoai-Minh

“…In particular, we show that the range of the parameters for radial functions is strictly larger than the one without symmetric assumption. Previous known results reveal only some special ranges of parameters even in the case $s=1$. …”
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A Relativistic Algorithm with Isotropic Coordinates by S. A. Ngubelanga, S. D. Maharaj

“…We study spherically symmetric spacetimes for matter distributions with isotropic pressures. …”
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SIMULATION OF THE ELECTROSTATIC DIPOLE FIELD IN THE PRESENCE OF A THIN UNCLOSED OBLATE ELLIPSOIDAL SHELL AND PLANE by G. Ch. Shushkevich

“…An analytical solution of axially symmetric problem for determining the field of an electrostatic dipole located inside a thin unclosed oblate ellipsoidal shell in the presence of a grounded plane is constructed. …”
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Increasing efficiency of three-phase induction motors at power supply from single-phase electrical network by V. V. Kharlamov, Yu. V. Moskalev, V. S. Lysenko

“…The scheme provides a symmetrical three-phase voltage system on the stator winding. …”
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Winner’s Optimal Reimbursement in Contest by Yong Liu, Shaozeng Dong

“…Assuming the reimbursement is a linear function of the cost of effort, we obtain analytical solutions for the contestants’ symmetrical equilibrium effort and the contest organizer’s expected revenue. …”
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Post-COVID-19 Dermatomyositis: A Delayed Reaction That Evades Early Detection by Nur Ili Syazwani MD HADIS, Siti Suhaila MOHD YUSOFF, Rosediani MUHAMAD, Fatin Hanani CHE JUHA

“…Dermatomyositis (DM) is a rare autoimmune disease that causes symmetrical and predominantly proximal muscle weakness in the limbs and typical skin lesions. …”
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Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection by B. S. Anitha, C. S. Bagewadi

“…Further it is proved that the second fundamental forms 𝜎 and 𝜎 with respect to Levi-Civita connection and semi-symmetric nonmetric connection coincide. It is shown that if the second fundamental form 𝜎 is recurrent, 2-recurrent, generalized 2-recurrent, semiparallel, pseudoparallel, and Ricci-generalized pseudoparallel and M has parallel third fundamental form with respect to semisymmetric nonmetric connection, then M is totally geodesic with respect to Levi-Civita connection.…”
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Schur m-Power Convexity of a Class of Multiplicatively Convex Functions and Applications by Wen Wang, Shiguo Yang

“…We investigate the conditions under which the symmetric functions Fn,k(x,r)=∏1≤i1<i2<⋯<ik≤n ‍f(∑j=1k‍xijr)1/r,  k=1,2,…,n, are Schur m-power convex for x∈R++n and r>0. …”
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Linearized mathematical model of rubber-cord shell by V. S. Korneyev, V. V. Shalay

“…The procedure of linearization of the previously constructed mathematical model of a rubber-cord shell of rotation with elastically deformable cord threads under symmetric loading with internal excessive pressure and axial force is performed. …”
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Objectivation négociée et gestion contestée de l’environnement by Thomas Debril, Gaël Plumecocq, Olivier Petit

“…This leads us to question the diversity of actors’ competencies as well as the heterogeneity of technical devices that are negotiated among experts and frame the ways in which the environment is managed. Symmetrically, we examine the ways various modalities of management question the processes by which particular attributes are granted to the environment.…”
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Induced Representation Method in the Theory of Electron Structure and Superconductivity by V. G. Yarzhemsky

“…It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of electron structure and constructing Cooper pair wavefunctions on the basis of one-electron solid-state wavefunctions possible. …”
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Orthogonal Polynomials of Compact Simple Lie Groups by Maryna Nesterenko, Jiří Patera, Agnieszka Tereszkiewicz

“…The obtained not Laurent-type polynomials are equivalent to the partial cases of the Macdonald symmetric polynomials. Recurrence relations are shown for the Lie groups of types A1, A2, A3, C2, C3, G2, and B3 together with lowest polynomials.…”
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Unified Dark Matter Scalar Field Models by Daniele Bertacca, Nicola Bartolo, Sabino Matarrese

“…We also discuss static and spherically symmetric solutions of Einstein's equations for a scalar field with noncanonical kinetic term, in connection with galactic halo rotation curves.…”
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On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…As an application, we construct orthogonal symmetric multiwavelet with additional vanishing moments. …”
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Neurosarcoidosis camouflaging as partial miller: Fisher syndrome by B N Shiva Prasad, Subramanian Ramaswamy, Aumir Moin, Srinivas Nalloor

“…Peripheral neuropathy is one of them. Symmetrical axonal type sensory-motor polyneuropathy is the most common form; focal and multifocal neuropathy, polyradiculopathy, and vascular neuropathy are among the others. …”
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M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide by Faryal Chaudhry, Iqra Shoukat, Deeba Afzal, Choonkil Park, Murat Cancan, Mohammad Reza Farahani

“…In this paper, we derived closed formulas for some well-known degree-based topological indices like first and second Zagreb indices, the modified Zagreb index, the symmetric division index, the harmonic index, the Randić index and inverse Randić index, and the augmented Zagreb index using calculus.…”
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A New Solution to the Matrix Equation X−AX¯B=C by Caiqin Song

“…Moreover, the explicit solution is also expressed by the symmetric operator matrix, controllability matrix, and observability matrix. …”
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Pressure jump and radial stationary solutions of the degenerate Cahn–Hilliard equation by Elbar, Charles, Perthame, Benoît, Skrzeczkowski, Jakub

“…To do so, we depart from the spherically symmetric dynamical compressible model and include an external force. …”
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