Simulation of the Damage Process in Quasi-Brittle Materials by a Modified Finite Element Method Using the Consistent Embedded Discontinuity Formulation by J. Retama, A. G. Ayala

“…For this purpose, the kinematically optimal symmetric (KOS) formulation, which guarantees kinematics, is consistently derived. …”
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Superpotential of three dimensional N $$ \mathcal{N} $$ = 1 heterotic supergravity by Xenia de Ia Ossa, Magdalena Larfors, Matthew Magill, Eirik E. Svanes

“…Abstract We dimensionally reduce the ten dimensional heterotic supergravity action on spacetimes of the form M $$ \mathcal{M} $$ (1, 2) x Y, where M $$ \mathcal{M} $$ (1, 2) is three dimensional maximally symmetric Anti de Sitter or Minkowski space, and Y is a compact seven dimensional manifold with G2 structure. …”
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Uniaxial Compression Mechanical Analysis of Cylindrical Rock Specimens Based on Space Axisymmetric Problem by Jianguang Li, Yanchun Wang, Chuanqi Su

“…The common failure forms in the uniaxial compression test of standard cylindrical rock specimens are symmetric cone failure and splitting failure. In the past, two kinds of failure forms were explained from the plane problems of elasticity theory. …”
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Nonsingular Integral Sliding Mode Attitude Control for Rigid-Flexible Coupled Spacecraft with High-Inertia Rotating Appendages by Gaowang Zhang, Xueqin Chen, Ruichen Xi, Huayi Li

“…Finally, the effectiveness of the proposed attitude control law was verified by numerical simulations for a spacecraft with high-inertia rotating appendages and symmetrical flexible solar panels.…”
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Quantum Tunnelling for Hawking Radiation from Both Static and Dynamic Black Holes by Subenoy Chakraborty, Subhajit Saha

“…The paper deals with Hawking radiation from both a general static black hole and a nonstatic spherically symmetric black hole. In case of static black hole, tunnelling of nonzero mass particles is considered and due to complicated calculations, quantum corrections are calculated only up to the first order. …”
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Identification of the Quadrature Resonances Using Modal Nonsynchronous Perturbation Testing and Dynamic Stiffness Approach for an Anisotropic Rotor System with Fluid Interaction by Eungu Jang, Agnes Muszynska, Young-Pil Park, Chang-Ho Kim

“…In particular, the existence of the quadrature resonance phenomenon for backward precession is demonstrated. A symmetric rotor supported anisotropically by one fluid lubricated bearing and one rolling element bearing simulates rotating machinery behavior. …”
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Dual-Dipole UHF RFID Tag Antenna with Quasi-Isotropic Patterns Based on Four-Axis Reflection Symmetry by Chunfang Qin, Lingfei Mo, Hongliang Zhou, Hongjian Zhang

“…Two dipoles with four-axis reflection symmetric structure are used, and the two arms of the dipole are bent to fill the space of the antenna. …”
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Broadband Dual Circularly Polarized Magnetoelectric Dipole Antenna Fed by a Miniaturized Six-Branch Hybrid Coupler by Changhong Zhang, Xianling Liang, Junping Geng, Ronghong Jin

“…Measurement results show that the proposed dual circularly polarized MEDA achieves an impedance bandwidth of 84.5%, an axial-ratio bandwidth of 81.8%, and a nearly symmetrical, stable unidirectional radiation pattern with an average gain of 8 dBic over its impedance bandwidth.…”
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Extension of the CJP model to mixed mode I and mode II by C. J. Christopher, G. Laboviciute, M. N. James

“…This extension requires the addition of only one new force parameter to the model, i.e. an anti-symmetric shear force on either side of the crack.…”
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Ectopic Oral Tonsillar Tissue: A Case Series with Bilateral and Solitary Presentations and a Review of the Literature by Masashi Kimura, Toru Nagao, Terumi Saito, Saman Warnakulasuriya, Hiroyuki Ohto, Akihito Takahashi, Kanji Komaki, Yoshiyuki Naganawa

“…In this report, we describe a rare case of bilateral symmetric ectopic oral tonsillar tissue located at the ventral surface of the tongue along with two solitary cases arising from the floor of the mouth. …”
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Clinical Evaluation of Solitary Median Maxillary Central Incisor Syndrome by Malaz M. Mustafa, M. Zakirulla, Ibrahim AlShahrani, Rafi A. Togoo, Zuhair M. Alkahtani, Tasneem S. Ain

“…The SMMCI tooth differs from the normal central incisor in that the crown form is symmetric and it develops and erupts precisely in the midline of the maxillary dental arch in both primary and permanent dentitions. …”
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On the flexural and extensional thermoelastic waves in orthotropic plates with two thermal relaxation times by K. L. Verma, Norio Hasebe

“…The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. …”
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Determinants of Indonesian Government Bond Yield by Hestiani Wulandari, Noer Azam Achsani, Moch. Hadi Santoso

“…Purpose: This research aims to analyze the factors affecting the yield of Indonesian government bonds with maturities of 5, 10, and 30 This research was conducted to identify factors that influence government bond yields using a symmetric approach with the ARDL model. Design/methodology/approach: This research was conducted to identify factors that influence government bond yields using a symmetric approach using the Autoregressive Distributed Lag (ARDL) model. …”
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Structural Alteration of Medial Temporal Lobe Subfield in the Amnestic Mild Cognitive Impairment Stage of Alzheimer’s Disease by Pan He, Hang Qu, Ming Cai, Weijie Liu, Xinyi Gu, Qiang Ma

“…The hippocampus densities and volumes of the subjects from the aMCI group and the AD group were bilaterally symmetric. The gray matter densities of the right side of the entorhinal cortex inside each group and the hippocampus from the NC group were higher than those of the left side (p<0.05), and the gray matter densities of the amygdala and mammillary body were bilaterally symmetric in the three groups (p>0.05). …”
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Sandpiper Optimization Algorithm With Region Growing Based Robust Retinal Blood Vessel Segmentation Approach by Ibrahim AlMohimeed, Mohamed Yacin Sikkandar, A. Mohanarathinam, Velmurugan Subbiah Parvathy, Mohamad Khairi Ishak, Faten Khalid Karim, Samih M. Mostafa

“…The SPO approach addresses the intricate challenges modeled by difficult symmetrical and asymmetrical patterns in retinal vessel segmentation. …”
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An Efficient Contact Model for the Simulation of Cargo Airdrop Extraction Phase by Leiming Ning, Jichang Chen, Mingbo Tong

“…The formulation is developed under an arbitrary moving frame with both aircraft and cargo treated as general six degrees-of-freedom rigid bodies, thus eliminating the restrictions of lateral symmetric assumptions in most existing methods. Moreover, the aircraft-cargo coupling algorithm is discussed in detail, and some practical implementation details are presented. …”
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An Identity in Commutative Rings with Unity with Applications to Various Sums of Powers by Miomir Andjić, Romeo Meštrović

“…Given a positive integer n<m and the so-called n-symmetric set A=a1,a2,…,a2l-1,a2l such that al+i=ne-ai for each i=1,…,l, define the rth power sum Sr(A) as Sr(A)=∑i=12lair, for r=0,1,2,…. …”
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Gravitational Collapse and Singularity Removal in Rastall Theory by Ehsan Dorrani

“…In the present work, we study spherically symmetric gravitational collapse of a homogeneous fluid in the framework of Rastall gravity. …”
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The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function by Pierpaolo Soravia

“…We discuss how C1-supersolutions of (AE) become special Lyapunov functions of symmetric control systems, and allow to find continuous feedbacks driving the system to a target in finite time, except on a singular manifold. …”
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The combinatorial structure of trigonometry by Adel F. Antippa

“…Two interrelated combinatorial symmetric functions underlie trigonometry. We use their characteristics to derive identities for the trigonometric functions of multiple distinct angles. …”
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