A Class of Symmetric Fractional Differential Operator Formed by Special Functions by Ibtisam Aldawish, Rabha W. Ibrahim, Suzan J. Obaiys

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MODELS OF BASIC ELECTROMAGNETIC WAVES IN THE BI-ISOTROPIC MEDIUM WITH SPACE DISPERSION by V. T. Erofeenko

“…Modeling is based on the transformation of integro-differential equations for bi-isotropic medium to the differential equations electrodynamics, containing electrical and magnetic polarizations in operator form with differential Laplace operator. Within the developed model it is analytically constructed a full system of basic plane, spherical and cylindrical electromagnetic fields extending in the homogeneous bi-isotropic medium with space dispersion.…”
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Study on Sugeno Probability Integral of γ-fuzzy Operator by ZHAO Hui, SHAN Yunxiao, JIANG Xinge

“…Aiming at the definition and theorem research of fuzzy probability, fuzzy measure and its integral, two kinds of ideal γ－fuzzy operator form is given, which proves that the condition of triangular norm operator is satisfied; And under the background of the proposed relevance measure space, the definition and theorem of generalized Sugeno probability integral are given, verification of a number of theorems that satisfy the condition to prove its feasibility. …”
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The In-Plane Deformation and Free Vibration Analysis of a Rotating Ring Resonator of a Gyroscope with Evenly Distributed Mass Imperfections by Dongsheng Zhang, Shuming Li

“…Employing Galerkin’s method, the governing equation of the free vibration is casted in matrix differential operator form after the separation of the real and imaginary parts with the inextensional assumption. …”
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On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel by Zelin Liu, Xiaobin Yu, Yajun Yin

“…The relationship between the fractional power operators and fractional calculus is not arbitrary, it must be determined by the specific operator form and the initial conditions. Furthermore, we provide operator representations of commonly used fractional derivatives and illustrate their applications with examples of fractional power operators in physical fractal spaces. …”
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Sampling reduced density matrix to extract fine levels of entanglement spectrum and restore entanglement Hamiltonian by Bin-Bin Mao, Yi-Ming Ding, Zhe Wang, Shijie Hu, Zheng Yan

“…Furthermore, we put forward an efficient way to restore the entanglement Hamiltonian in operator-form from the sampled RDM data. Our simulation results, utilizing unprecedentedly large system sizes, establish a practical computational framework for determining entanglement quantities based on the RDM, such as the ES, particularly in scenarios where the environment has a huge number of degrees of freedom.…”
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Parallel construction of binary tree based on sorting by Ya. E. Romm, D. A. Chabanyuk

“…The sorting provides maximum concurrency, and, in an operator form, establishes a one-to-one mapping of input and output indices. …”
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Determination of the tungsten gross erosion rate based on the multiple atomic spectral lines by C. Shin, D.-H. Kwon, H. Shin, K.-B. Chai, Wonho Choe

“…Subsequently, the sputtered flux is obtained from the matrix operator form of S / XB and the multiple spectral line intensities given by the measurement. …”
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Definition and formation of a pseudoinverse operator by Zenonas Navickas

“… A constructive pseudoinverse operator forming algorithm is presented in the paper. …”
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The Methodology of Contemporary Gender Interpretation: A Study of Qirā’ah Mubādalah by Taufan Anggoro

“…The hermeneutical analysis is used to study the extent to which operational forms of hermeneutics appear in the mubādalah. …”
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Computable error bounds with improved applicability conditions for collocation methods by A. H. Ahmed

“…It is shown that if the differential operator is split in different operator forms then the applicability conditions for the computable error bounds which are based on the collocation matrices could be improved…”
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LAPAROSCOPIC INTERVENTIONS IN LEFT SECTIONS COLON CANCER COMPLICATED BY OBTURATION INTESTINAL OBSTRUCTION by K. G. Kubachev, S. V. Artyukhov

“…On the basis of an analysis of 2200 cases of left sections colon cancer complicated by obturation intestinal obstruction the authors showed the possibility and reasonability of two-step operation performance. The first operation formed unloading part and the second was the radical operation in one hospitalization. …”
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THE MODELING OF PROCESSES OIF DRY MATERIALS SEPARA- TION FOR DIFFERENT LOTS OF SPECIAL OPERATIONS IN SYN- THESIZED SEPARATORS by U.I. ERMOLJEV, Y.I. LUKINOV

“…A general approach of the constructing of a functioning stochastic multimeasured analytic model, describing dry materials system separation on different combinations of special technological operations forming cleaning aggregate structure is given here. …”
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Инновационные подходы при расчете лизинговых платежей в операционном лизинге

“…The problem of creation of the special mechanism of calculation of leasing payment has been put and solved at the operational form of the leasing which is based on changed a way of charge of amortization on the sum of numbers of years, taking into account reception in the end of term of leasing of real market residual cost of leasing property.…”
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The Ukrainian Campaign and the Development of New Operational Trends by A. A. Krivopalov

“…Highly likely new operational forms are emerging in the post-Soviet space, the comprehension of which is still a matter of an uncertain future.…”
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ON STRONGLY CONDENSING OPERATORS AT INFINITY by N. A. Erzakova

“…In particular, this notion allows to build examples of operators that are neither compact, nor condensing, not even -bounded. Such operators form a linear space. Some applications of the notion to the theory of bifurcation points are discussed.…”
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Orthogonal Genetic Algorithm for Planar Thinned Array Designs by Li Zhang, Yong-Chang Jiao, Bo Chen, Hong Li

“…The method is a genetic algorithm based on orthogonal design. A crossover operator formed by the orthogonal array and the factor analysis is employed to enhance the genetic algorithm for optimization. …”
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p-representable operators in Banach spaces by Roshdi Khalil

“…In particular, it is shown that p-representable operators form a Banach ideal which is stable under injective tensor product. …”
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Electromagnetic helicity flux operators in higher dimensions by Wen-Bin Liu, Jiang Long, Xin-Hao Zhou

“…In this paper, we construct the electromagnetic helicity flux operators which form a non-Abelian group in general dimensions, among which the minimal helicity flux operators form the massless representation of the little group, a finite spin unitary irreducible representation of the Poincaré group. …”
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Resistências de povos e comunidades tradicionais ante o Estado e a colonialidade by Josiane Carine Wedig, João Daniel Dorneles Ramos

“… In this article, we discuss how colonialism operated and continues to operate forms of violence against traditional peoples and communities. …”
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