Non-invertible symmetries in finite-group gauge theory by Clay Cordova, Davi Bastos Costa, Po-Shen Hsin

“…We also generalize the Cheshire string defect to analogous defects of general codimensions and gauge groups and show that they form a closed fusion algebra.…”
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Group Classification of a General Bond-Option Pricing Equation of Mathematical Finance by Tanki Motsepa, Chaudry Masood Khalique, Motlatsi Molati

“…We show that the equation admits a three-dimensional equivalence Lie algebra. We also show that some of the values of the constants which result from group classification give us well-known models in mathematics of finance such as Black-Scholes, Vasicek, and Cox-Ingersoll-Ross. …”
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Coarse-Grained Column Agglomeration Parallel Algorithm for LU Factorization Using Multi-Threaded MATLAB by Osama Sabir, Reza Alebrahim

“…MATLAB programing language is one of the most popular scientific computing tools, especially for solving linear algebra problems. LU factorization is an essential component for the direct solution of linear equations systems. …”
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Synthesis of arbitrary current mode filter by LI Zhi-jun1, WANG Chun-hua2, LIU Rong1

“…A new general analytical synthesis method for arbitrary current mode filter was presented.The method was based on the analytical decomposition of a complicated high-order transfer function into n lossless integrators and n cur-rent proportional blocks by a succession of innovative algebra process.The filter structure based on MCCIIs was pro-posed with the following advantages: 1) it can be used not only for arbitrary-order filters,but also for different filter types such as Butterworth,Chebyshev and Elliptic;2) the circuit structure proposed only contains（2n+1） active elements,（2n+1） resistors and n capacitors;3) all the elements are grounded,so it is convenient to be integrated;4) the different filter functions such as high-pass,low-pass,band-pass,band-reject and all-pass can be obtained when it act as a Butter-worth filter.A third-order elliptic low-pass filter and a sixth-order Butterworth universal filter were employed to demon-strate the realization scheme.The validity of the proposed structure was verified through PSPICE simulations.…”
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules by Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

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Three-dimensional non-relativistic Hietarinta supergravity by Patrick Concha, Evelyn Rodríguez, Sebastián Salgado

“…To incorporate supersymmetry, we apply the Lie algebra expansion method to obtain the non-relativistic formulation of $${\mathcal {N}}=2$$ N = 2 Hietarinta supergravity. …”
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Split-and-Combine Singular Value Decomposition for Large-Scale Matrix by Jengnan Tzeng

“…The singular value decomposition (SVD) is a fundamental matrix decomposition in linear algebra. It is widely applied in many modern techniques, for example, high- dimensional data visualization, dimension reduction, data mining, latent semantic analysis, and so forth. …”
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Derived Categories and the Analytic Approach to General Reciprocity Laws—Part II by Michael C. Berg

“…Building on the topological foundations constructed in Part I, we now go on to address the homological algebra preparatory to the projected final arithmetical phase of our attack on the analytic proof of general reciprocity for a number field. …”
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Ethnomathematics: Exploration of Mathematical Consepts in Batik Udan Liris by Ira Evikasari, Adi Nurcahyo, Naufal Ishartono

“…Based on the data that has been analyzed, the results of the study found the concept of geometry, algebra, and arithmetic contained in the Batik Udan Liris motif. …”
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Limit Cycles and Analytic Centers for a Family of 4n-1 Degree Systems with Generalized Nilpotent Singularities by Yusen Wu, Cui Zhang, Changjin Xu

“…With the aid of computer algebra system Mathematica 8.0 and by the integral factor method, for a family of generalized nilpotent systems, we first compute the first several quasi-Lyapunov constants, by vanishing them and rigorous proof, and then we get sufficient and necessary conditions under which the systems admit analytic centers at the origin. …”
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Localization and Flatness in Quantale Theory by George Georgescu

“…The study of flat ring morphisms is an important theme in commutative algebra. The purpose of this article is to develop an abstract theory of flatness in the framework of coherent quantales. …”
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On absolutely invertibles by Francisco Javier García-Pacheco, María de los Ángeles Moreno-Frías, Marina Murillo-Arcila

“…., every Banach space of dimension of at least $ 2 $ could be equivalently re-normed in such a way that the group of surjective linear isometries was not a normal subgroup of the group of isomorphisms, and every infinite-dimensional Banach space, containing a proper complemented subspace isomorphic to it, could be equivalently re-normed so that the set of surjective linear operators was not dense in the Banach algebra of bounded linear operators.…”
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Efektivitas Penggunaan Aplikasi Open Source dalam Pembelajaran Matematika Komputer by I Made Dedy setiawan

“…The role of mathematics such as calculus, algebra and statistics is urgent for current technological developments. …”
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Analysis of Stiffness Characteristic of Five-degree-of-freedom Hammer Riveting Robot based on Spiral Theory by Chunying Jiang, Xiangchen Liu, Changlong Ye, Huan Zhou, Xu Guan

“…In view of the characteristics of the 5-DOF hammer riveting robot， combining Lie group Lie algebra and spiral theory， its kinematics model is established and solved； use the exponential product formula to derive the Jacobian matrix of the robot，and use the stiffness mapping theory to solve the stiffness matrix of the robot； the finite element and Matlab simulation software are used to simulate and verify the end deformation under the general pose and the extreme pose，and the stiffness distribution map of the robot in the task space varying with the change of pose is given；the simulation result is compared with the theoretical calculation value and the error is not more than 10%，which verify the correctness and effectiveness of the established stiffness model and provide important reference for optimization of subsequent work path.…”
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Generalization of Okamoto's Equation to Arbitrary 2×2 Schlesinger System by Dmitry Korotkin, Henning Samtleben

“…A new set of scalar equations for the logarithmic derivatives of the Jimbo-Miwa tau-function is derived in terms of generators of the Virasoro algebra; these generators are expressed in terms of derivatives with respect to singularities of the Schlesinger system.…”
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The Parameters Optimizing Design of Double Suspension Arm Torsion Bar in the Electric Sight-Seeing Car by Random Vibration Analyzing Method by Shui-Ting Zhou, Yi-Jui Chiu, I-Hsiang Lin

“…The suspension stiffness was calculated by using the virtual work principle, the vector algebra, and tensor of finite rotation methods and was verified by the ADAMS software. …”
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3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models by Seungjoo Baek, Dongmin Gang

“…A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. …”
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Completing a 2×2 Block Matrix of Real Quaternions with a Partial Specified Inverse by Yong Lin, Qing-Wen Wang

“…This paper considers a completion problem of a nonsingular 2×2 block matrix over the real quaternion algebra ℍ: Let m1,  m2,  n1,  n2 be nonnegative integers, m1+m2=n1+n2=n>0, and A12∈ℍm1×n2, A21∈ℍm2×n1, A22∈ℍm2×n2, B11∈ℍn1×m1 be given. …”
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Design and Optimization of E-Commerce Logistics Distribution System Based on Multiobjective Function by Hui Wen

“…The algorithm utilizes a new immune vaccine selection strategy and immune operation method, the optimization process is adaptively changed with the evolutionary algebra, combined with the parallel selection method to optimize the multiobjective logistics distribution path, and the specific steps to solve the multiobjective logistics distribution path problem are given. …”
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Bethe Ansatz inside Calogero-Sutherland models by Gwenaël Ferrando, Jules Lamers, Fedor Levkovich-Maslyuk, Didina Serban

“…From the transfer matrix with a diagonal twist we construct Heisenberg-style symmetries (Bethe algebra) that refine the usual hierarchy of commuting Hamiltonians (quantum determinant) of the spin-Calogero–Sutherland model. …”
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