Topological Aspects of Molecular Networks: Crystal Cubic Carbons by Muhammad Javaid, Aqsa Sattar, Ebenezer Bonyah

“…In particular, chemical networking theory has a wide range of utilizations in the study of chemical structures, where examination and manipulation of chemical structural information are made feasible by utilizing the numerical graph invariants. A network invariant or a topological index (TI) is a numerical measure of a chemical compound which is capable to describe the chemical structural properties such as melting point, freezing point, density, pressure, tension, and temperature of chemical compounds. …”
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Information limits and Thouless-Anderson-Palmer equations for spiked matrix models with structured noise by Jean Barbier, Francesco Camilli, Yizhou Xu, Marco Mondelli

“…To capture the structure while maintaining mathematical tractability, a line of work has focused on rotationally invariant noise. However, existing studies either provide suboptimal algorithms or are limited to a special class of noise ensembles. …”
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Evaluation of an Adsorption–Desorption Process for Concentrating Heavy Metal Ions from Acidic Wastewaters by Sergio Montes Sotomayor, Gonzalo Montes-Atenas, Francisco Garcia-Garcia, Manuel Valenzuela, Eduardo Valero, Oscar Díaz

“…The present work was aimed at studying the removal of binary heavy metal ions from aqueous solutions using pine bark and to explore the possibility of elution as a subsequent stage for releasing and concentrating the metal ions. …”
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Research on cloud dynamic public key information security based on elliptic curve and primitive Pythagoras by Zhenlong Man, Jianmeng Liu, Fan Zhang, Xiangfu Meng

“…In the diffusion algorithm, the three-side rotation characteristic of the Rubik’s cube is simulated, the binary sequence of pixel values is stored at eight vertices of the cube, the cube is rotated according to the key value, and the changed 8 new binary numbers are XOR operated with the random sequence to obtain the new pixel value. …”
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Effect of the Lifting Velocity and Container Shape on Angle of Repose of Iron Ore Particles by Tongqing Li, Yuxing Peng, Zhencai Zhu, Zhangfa Yu, Zixin Yin

“…The sand pile highly depends on the container shape at a low lifting velocity but appears to be invariant to particle size for a high lifting velocity. …”
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A Novel Approach to Face Verification Based on Second-Order Face-Pair Representation by Qiang Hua, Chunru Dong, Feng Zhang

“…In this paper, we present a second-order face representation method for face pair and a unified face verification framework, in which the feature extractors and the subsequent binary classification model design can be selected flexibly. …”
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Towards the Development of a Cloud Computing Intrusion Detection Framework Using an Ensemble Hybrid Feature Selection Approach by Noah Oghenefego Ogwara, Krassie Petrova, Mee Loong Yang

“…Experiments were carried out using the NSL KDD dataset. The binary model achieved a classification accuracy of 99.55% with a very low false alarm rate of 0.45%. …”
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Quantum Hall and Light Responses in a 2D Topological Semimetal by Le Hur, Karyn, Al Saati, Sariah

“…Here, we address the characteristics of this semimetal and show that the $\mathbb{Z}$ topological invariant of the Hall conductivity associated to the lowest energy band can be equivalently measured from the resonant response to circularly polarized light resolved at the Dirac points. …”
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HOW TO STIMULATE STUDENTS TO REGULAR WORK DURING THE SEMESTER by Mikhail A. Prikhodovsky

“…Among them are the following: more liberal, friendly atmosphere, possibility of pre-term examination, taking into account the results of student’s work during a semester, invariability of the requirements, feedback between lecturer and student.…”
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An Implementation of Lipschitz Simple Functions in Computer Algebra System Singular by Yanan Liu, Muhammad Ahsan Binyamin, Adnan Aslam, Minahal Arshad, Chengmei Fan, Hassan Mahmood, Jia-Bao Liu

“…The aim of this article is to implement a classifier in terms of easy computable invariants to compute the type of the Lipschitz simple function germs without computing the normal form in the computer algebra system Singular.…”
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Relational Quasicontractions and Related Fixed Point Theorems by Nidal H. E. Eljaneid, Faizan A. Khan, Hamid I. A. Mohammed, Aftab Alam

“…In this article, some results on fixed points under quasicontractions in the framework of metric space endowed with binary relation are proved. Our newly proved results improve and extend several noted fixed point theorems of the existing literature besides their relation-theoretic analogues. …”
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Bounded Motions of the Dynamical Systems Described by Differential Inclusions by Nihal Ege, Khalik G. Guseinov

“…Using positionally weakly invariant sets, sufficient conditions for boundedness of the motions of a dynamical system are given. …”
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PROBABILISTIC PROPERTIES OF THE INITIAL VALUES OF WEIGHTING FACTORS IN SYNCHRONIZED ARTIFICIAL NEURAL by V. F. Golikov, N. V. Brich

“…One of the most efficient ways for identical binary se quences generation is using methods of neural cryptography. …”
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Adaptive Feedback Control for Synchronization of Chaotic Neural Systems with Parameter Mismatches by Qian Ye, Zhengxian Jiang, Tiane Chen

“…This work pertains to the study of the synchronization problem of a class of coupled chaotic neural systems with parameter mismatches. By means of an invariance principle, a rigorous adaptive feedback method is explored for synchronization of a class of coupled chaotic delayed neural systems in the presence of parameter mismatches. …”
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Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions by Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos, Kostas G. Arvanitis

“…In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. …”
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Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras by Hesam Mahzoon

“…Also, we prove weighed dual covariance set invariant under the bijection multiplicative *-functions.…”
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Pus in Spinal Needle: Diagnosis and Management of a Long-Segment Spinal Epidural Abscess by B. M. Munasinghe, N. Pathirage, M. S. Hameed, C. T. Hapuarachchi

“…Early diagnosis and pertinent management invariably improve neurological outcomes. We report a case of long-segment SEA, which was suspected during subarachnoid anaesthesia, subsequently diagnosed and managed appropriately, averting irreversible neurological deficits.…”
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Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces by Phakdi Charoensawan, Tanadon Chaobankoh

“…As a consequence of our results, we also provide the best proximity point results in X endowed with a binary relation.…”
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From relativistic gravity to the Poisson equation by Eric A. Bergshoeff, Giacomo Giorgi, Luca Romano

“…We show that, within the Lagrangian approach, a Poisson equation can be obtained provided that the coupling of the scalar field is fine-tuned such that the non-relativistic Lagrangian is invariant under an emerging local dilatation symmetry. …”
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Electroweak hierarchy from conformal and custodial symmetry by Thede de Boer, Manfred Lindner, Andreas Trautner

“…We assume classical scale invariance as well as an extension of the SM scalar sector custodial symmetry to SO(6). …”
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