The Normalized Laplacians, Degree-Kirchhoff Index, and the Complexity of Möbius Graph of Linear Octagonal-Quadrilateral Networks by Jia-Bao Liu, Qian Zheng, Sakander Hayat

“…In this paper, starting from the decomposition theorem of polynomials, we infer that the normalized Laplacian spectrum of MQn8,4 can be determined by the eigenvalues of two symmetric quasi-triangular matrices ℒA and ℒS of order 4n. …”
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A pressure-robust divergence free finite element basis for the Stokes equations by Jay Chu, Xiaozhe Hu, Lin Mu

“…A discrete divergence-free subspace was constructed to reduce the saddle point problem of the Stokes problem to a smaller-sized symmetric and positive definite system solely depending on the velocity components. …”
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Safety Characteristic Evaluation of Cage in Cylindrical Roller Bearing at the Stage of Start-Up and Stop by Zhang Wenhu, Wu Zhimin, Deng Sier, Zhang Song, Tian Heng, Yang Haisheng

“…The dynamics model of cylindrical roller bearing (CRB) in aeroengine main shaft was promoted and solved by Hilber–Hughes–Taylor (HHT) integer algorithm with variable step in combination with symmetric multiprocessing (SMP) parallel solving technology, and a finite element model of roller to cage contact was built. …”
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Analytical Models for Gravitating Radiating Systems by B. P. Brassel, S. D. Maharaj, G. Govender

“…We analyse the gravitational behaviour of a relativistic heat conducting fluid in a shear-free spherically symmetric spacetime. We show that the isotropy of pressure is a consistency condition which realises a second order nonlinear ordinary differential equation with variable coefficients in the gravitational potentials. …”
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Bounded Odd Inverse Pareto Exponential Distribution: Properties, Estimation, and Regression by Suleman Nasiru, Abdul Ghaniyyu Abubakari, Irene Dekomwine Angbing

“…The density function of the distribution exhibits different kinds of shapes such as decreasing, increasing, left skewed, right skewed, and approximately symmetric. The failure rate function shows increasing, bathtub, and modified upside-down bathtub shapes. …”
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Non-kekulean benzenoid hydrocarbon: physico-chemical properties for benzenoid hydrocarbon using topological indices and mpolynomial by Anns Uzair, Aiman Ishtiaq, Misbah Rasheed

“…For the non-kekulean benzenoid hydrocarbon, we determine the first K Banhatti index, modified first K Banhatti index, inverse sum index, randic index, symmetric index, harmonic index, first K Banhatti index, and K hormonic Banhatti index.…”
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A Simple Empirical Likelihood Ratio Test for Normality Based on the Moment Constraints of a Half-Normal Distribution by C. S. Marange, Y. Qin

“…Using Monte Carlo simulations, our test proved to be superior to other well-known existing goodness-of-fit (GoF) tests considered under symmetric alternative distributions for small to moderate sample sizes. …”
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Efficient wideband signals’ direction of arrival estimation method with unknown number of signals by Yaoping Zeng, Guangyue Lu

“…Moreover, compared with the existing real-valued techniques suitable for only the centro-symmetrical array, the new method can be applied to arbitrary array. …”
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Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity by D. S. Chandrasekharaiah, K. S. Srinath

“…The waves are supposed to be spherically symmetric and caused by a constant step in temperature applied to the stress-free boundary of the cavity. …”
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A Case of Multiple Myeloma Misdiagnosed as Seronegative Rheumatoid Arthritis and Review of Relevant Literature by Scott Schoninger, Yamen Homsi, Alexandra Kreps, Natasa Milojkvovic

“…We report a case of a 58-year-old male who presented with symmetrical inflammatory polyarthritis and was misdiagnosed with seronegative rheumatoid arthritis (RA). …”
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Effects of Spine Motion on Foot Slip in Quadruped Bounding by Dongliang Chen, Ningjie Li, Guifang Liu, Lei Chen, Yongyuan Wang, Chong Liu, Bo Zhuang

“…First, three simplified sagittal plane models of quadruped mammals were studied in symmetric bounding. The first model’s trunk allowed no relative motion, the second model allowed only trunk bend, and the third model allowed both bend and translation. …”
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On the Hermitian R-Conjugate Solution of a System of Matrix Equations by Chang-Zhou Dong, Qing-Wen Wang, Yu-Ping Zhang

“…Let R be an n by n nontrivial real symmetric involution matrix, that is, R=R−1=RT≠In. …”
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Broadband Frost Adaptive Array Antenna with a Farrow Delay Filter by Tao Dong, Qiushi Wang, Yunxiao Zhao, Lixia Ji, Hao Zeng

“…Furthermore, a new off-line algorithm to calculate the Farrow filter coefficient is presented if the filter coefficient is symmetric. Finally, simulations are presented to illustrate that the design methodology for the Farrow filter is correct. …”
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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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"...dans le milieu de la Ville qui fait face à la place, se trouvent tous les besoins publiques..." : remarques sur la notion de centralité urbanistique en Louisiane coloniale et à... by Gilles-Antoine Langlois

“…This "place d’Armes" appears as the basis of the symmetrical grid of the town itself. After the Louisiana Purchase (1803), the place d’Armes, becoming Jackson Square in the name of the general who had defeated the British army, acquired the status of a national symbol in a rapidly growing town. …”
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Fracture of the Atlas through a Synchondrosis of Anterior Arch by Gamze Turk, Ismail M. Kabakus, Erhan Akpinar

“…The injury usually results from a symmetric or asymmetric axial loading. In paediatric cases, most fractures occur through the synchondroses which are the weakest links of the atlas. …”
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Quantum Probes of Timelike Naked Singularities in 2+1-Dimensional Power-Law Spacetimes by O. Gurtug, M. Halilsoy, S. Habib Mazharimousavi

“…The formation of naked singularities in 2+1-dimensional power-law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field, respectively, are considered in view of quantum mechanics. …”
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Galactic Halo Wormhole Solutions in f(T) Gravity by M. Sharif, Shamaila Rani

“…We consider static spherically symmetric wormhole spacetime with flat galactic rotational curves and obtain expressions of matter components for nondiagonal tetrad. …”
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Fourier transforms in generalized Fock spaces by John Schmeelk

“…We will replace the ϕq, q≥1 with q-symmetric rapid descent test functions within tempered distribution theory. …”
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A serendipity fully discrete div-div complex on polygonal meshes by Botti, Michele, Di Pietro, Daniele A., Salah, Marwa

“…The keystone of the reduction process is a new estimate of symmetric tensor-valued polynomial fields in terms of boundary values, completed with suitable projections of internal values for higher degrees. …”
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