University of KashanMathematics Interdisciplinary Research2538-363911320260901Generalized Recurrent and $\psi$-Recurrent Curvature on Mixed 3-Sasakian Manifolds20121211555610.22052/mir.2026.257679.1543ENFatemehAsaliDepartment of Mathematics, University of Zanjan, Zanjan, I. R. Iran0009-0005-7614-4101Mohammad BagherKazemi BalgeshirDepartment of Mathematics, University of Zanjan, Zanjan, I. R. Iran0000-0002-6915-6754FatemehRaeiDepartment of Mathematics Education, Farhangian University, Tehran, I. R. IranJournal Article20250928Considering the importance of mixed 3-Sasakian manifolds which admit Einstein metrics, we introduce generalized mixed 3-$ \psi $-recurrent manifolds on mixed 3-Sasakian structures. We prove that a non-flat generalized mixed 3-$\psi$-recurrent manifold is a generalized recurrent manifold with its horizontal vector fields. Also, we obtain a relation between associated 1-forms $\gamma_{i} $'s and $\theta_{i} $'s for a generalized mixed 3-$ \psi$-recurrent manifold. Moreover, we give a necessary and sufficient condition for a mixed 3-Sasakian manifold to be a generalized mixed 3-$\psi$-recurrent. Next, we find the Riemannian curvature representation of a mixed 3-Sasakian manifold when that is a generalized mixed 3-$\psi$-recurrent.https://mir.kashanu.ac.ir/article_115556_8b0e08d6a104e3a3ee0d6f1d7ad3307b.pdfUniversity of KashanMathematics Interdisciplinary Research2538-363911320260901Linearization the New Model of Mimetic Bi-Gravity21324211559210.22052/mir.2025.256035.1493ENSharifehAghamiriDepartment of Physics, University of Kashan, Kashan, I. R. IranMajidMonemzadehDepartment of Physics, University of Kashan, Kashan, I. R. Iran0000-0001-6636-9458AhmadShirzadDepartment of Physics, Isfahan University of Technology, Isfahan, I. R. IranJournal Article20250104This paper presents a novel integration of mimetic gravity and massive bi-gravity theories. Despite the success of general relativity (GR), explaining cosmic phenomena requires additional elements like dark matter and dark energy. Mimetic gravity extends GR's degrees of freedom while respecting conformal symmetry, and bi-gravity introduces an additional metric field for massive gravity. We redefine the action for combining these theories and linearize it around a flat spacetime solution. Our analysis highlights the dynamical behavior and stability of the combined model, offering insights for further theoretical and empirical investigations. This work contributes to bridging GR with quantum field theories and exploring new directions in gravitational research.https://mir.kashanu.ac.ir/article_115592_2d2b8b90f1609654ed36eec134f1c63a.pdfUniversity of KashanMathematics Interdisciplinary Research2538-363911320260901Secure Domination Number in Kneser Graph24325111565310.22052/mir.2026.258107.1562ENAbolfazlBahmaniDepartment of Mathematics, University of Zanjan, Zanjan, I. R. IranSaeidAlikhaniDepartment of Mathematical Sciences, Yazd University, 89195-741, Yazd, I. R. Iran0000-0002-1801-203XJournal Article20251209A vertex subset $S \subseteq V(G)$ is defined as a secure dominating set if, for any vertex u outside of S, there is a neighbor $v \in S$ such that the set $(S \setminus \{v\}) \cup \{u\}$ remains a dominating set for the graph $G$. The minimum cardinality of such a set is termed the secure domination number and is denoted by $\gamma_s(G)$. In the present study, we establish specific bounds for the secure domination number of Kneser graphs K(n, k). We further prove that for the condition $n \ge k^2 + 2k$, the value of $\gamma_s(K(n, k))$ is precisely k + 2.https://mir.kashanu.ac.ir/article_115653_6ea992752c5e0704d705b3842909eba3.pdfUniversity of KashanMathematics Interdisciplinary Research2538-363911320260901An Efficient Algorithm Based on Descent Direction for Nonsmooth Optimization and its Application in Image Restoration25327111567310.22052/mir.2026.257676.1545ENKimiaHoseinpourDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, I. R. IranZohrehAkbariDepartment of Applied Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, I. R. IranJournal Article20250929In this paper, we propose a novel descent-based hybrid algorithm for solving nonsmooth box-constrained optimization problems. The method combines an $\varepsilon$-subdifferential approximation with heuristic local and global line search strategies. Theoretical analysis establishes the global convergence of the algorithm under Fritz John optimality conditions. To demonstrate the effectiveness of the proposed approach, it is applied to several standard grayscale test images for denoising purposes, addressing various types of noise, including Gaussian and salt-and-pepper noise. Moreover, extensive experiments and comparative analyses with existing denoising algorithms confirm the superior performance of our method in terms of restoration quality, particularly with respect to PSNR and SSIM metrics.https://mir.kashanu.ac.ir/article_115673_43fcca62cef0ea220f5cf6845c5a50d1.pdfUniversity of KashanMathematics Interdisciplinary Research2538-363911320260901The Role of Multipliers in Seismic Signal Processing and Structural Response27329811567410.22052/mir.2026.257665.1544ENMarjanAdibDepartment of Basic Sciences, Technical and Vocational University (TVU), Tehran, I. R. Iran0000-0002-7508-6617MohsenJaddiDepartment of Basic Sciences, Technical and Vocational University (TVU), Tehran, I. R. Iran0000-0001-7510-374XJournal Article20250929We present a simplified formulation of multipliers in commutative Banach algebras by relaxing the classical faithfulness condition in [1, Theorem 3.2]. A concise and transparent proof is provided. These multipliers have significant applications in engineering, particularly in earthquake engineering, where frequency-domain analysis plays a central role. This study investigates their use in signal theory for seismic wave analysis through the Fourier transform. Multipliers are interpreted as frequency-domain operators for filtering and modeling structural responses, illustrating their relevance to seismic optimization. Numerical simulations support the theoretical results and demonstrate that multiplier-based filtering can effectively modify seismic signal spectra in applied settings.https://mir.kashanu.ac.ir/article_115674_3ce0a6bd2fcb665bd7c80284c6cc3a4e.pdfUniversity of KashanMathematics Interdisciplinary Research2538-363911320260901Some Characteristics of Tensor-Variate t and Skew-t Distributions29931911568610.22052/mir.2026.257883.1553ENFatemehYousefzadehDepartment of Statistics, University of Birjand, Birjand, I. R. IranSeyed Ali AsgarTajadodDepartment of Statistics, University of Birjand, Birjand, I. R. IranRaynaldo BorisArellano-ValleDepartment of Estadistica,
Pontificia Universidad Catolica de Chile, Santiago, ChileJournal Article20251101In recent years, rapid technological advances have led to the emergence of increasingly complex data structures, among which tensor data play a central role. To address the challenges of analyzing such data, it is essential to extend statistical concepts and methodologies to the tensor domain. In this paper, we introduce the tensor-variate t and skew-t distributions and derive several of their statistical properties. Parameter estimation is carried out using the Expectation-Maximization (EM) algorithm, and the performance of the proposed estimators is assessed through extensive simulation studies. Finally, the effectiveness and practical applicability of the estimators are demonstrated using real world data.https://mir.kashanu.ac.ir/article_115686_fd45f9f4205abeff1d66b8e38e20d93a.pdf