Explanation versus Understanding: On Two Roles of Dynamical Systems Theory in Extended Cognition Research.

Authors: Kuś, Katarzyna¹ (AUTHOR) kkus@uw.edu.pl, Wójtowicz, Krzysztof¹ (AUTHOR) wojtow@uw.edu.pl

Source: Foundations of Science. Mar2025, Vol. 30 Issue 1, p175-200. 26p.

Subject Terms: *DYNAMICAL systems, *APPLIED mathematics, *MATHEMATICAL functions, *COGNITIVE science, *COGNITION research

Asymptotic behavior of the Kirchhoff index for square lattice with boundary conditions.

Authors: ECEVİT, Fatih¹, BOYSAL, Arzu¹ arzu.boysal@bogazici.edu.tr

Source: Turkish Journal of Mathematics. 2025, Vol. 49 Issue 1, p18-28. 11p.

Subject Terms: *MULTILINEAR algebra, *APPLIED mathematics, *MOLECULAR connectivity index, *MESH networks, *MATHEMATICS

Parabolic optimal control problems with combinatorial switching constraints, part III: branch-and-bound algorithm: Parabolic optimal control problems with combinatorial...: C. Buchheim et al.

Authors: Buchheim, Christoph¹ (AUTHOR) christoph.buchheim@math.tu-dortmund.de, Grütering, Alexandra¹ (AUTHOR) alexandra.gruetering@math.tu-dortmund.de, Meyer, Christian¹ (AUTHOR) christian.meyer@math.tu-dortmund.de

Source: Computational Optimization & Applications. Apr2025, Vol. 90 Issue 3, p649-689. 41p.

Subject Terms: *MATHEMATICAL optimization, *ALGORITHMS, APPLIED mathematics, GLOBAL optimization, FUNCTION spaces

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The forgotten p-versine and p-coversine family of functions revisited.

Authors: Alibrahim, Ali Hamzah^1,2 (AUTHOR), Das, Saptarshi^1,3 (AUTHOR) saptarshi.das@ieee.org

Source: PLoS ONE. 8/13/2024, Vol. 19 Issue 8, p1-17. 17p.

Subject Terms: *MATHEMATICAL functions, *APPLIED mathematics, *MATHEMATICAL analysis, *SPECIAL functions, *MATHEMATICAL physics

A New Class of Coordinated Non-Convex Fuzzy-Number-Valued Mappings with Related Inequalities and Their Applications.

Authors: Rakhmangulov, Aleksandr¹ (AUTHOR) ran@magtu.ru, Aljohani, A. F.² (AUTHOR), Mubaraki, Ali³ (AUTHOR), Althobaiti, Saad⁴ (AUTHOR) ran@magtu.ru

Source: Axioms (2075-1680). Jun2024, Vol. 13 Issue 6, p404. 25p.

Subject Terms: *INTEGRAL inequalities, *APPLIED mathematics, *GENERALIZED integrals, *NUMERICAL integration, *INTEGRALS, *MATHEMATICS

EFFICIENT SCALING AND SQUARING METHOD FOR THE MATRIX EXPONENTIAL.

Source: SIAM Journal on Matrix Analysis & Applications. 2025, Vol. 46 Issue 1, p74-93. 20p.

Subject Terms: MATRIX exponential, APPLIED mathematics, RIGID body mechanics, MATRIX multiplications, MATRIX norms, THETA functions

Optimal fiscal policy in times of uncertainty: a stochastic control approach.

Authors: Neck, Reinhard¹ (AUTHOR) reinhard.neck@aau.at, Blueschke, Dmitri¹ (AUTHOR), Blueschke-Nikolaeva, Viktoria¹ (AUTHOR)

Source: Empirica. Feb2025, Vol. 52 Issue 1, p99-120. 22p.

Subject Terms: *MATHEMATICAL economics, *ECONOMIC statistics, *ECONOMIC policy, *FISCAL policy, APPLIED mathematics, POLICY sciences

Geographic Terms: SLOVENIA

The sparse(st) optimization problem: reformulations, optimality, stationarity, and numerical results: The sparse(st) optimization problem: reformulations...: C. Kanzow et al.

Authors: Kanzow, Christian¹ (AUTHOR) christian.kanzow@uni-wuerzburg.de, Schwartz, Alexandra² (AUTHOR) alexandra.schwartz@tu-dresden.de, Weiß, Felix¹ (AUTHOR) felix.weiss@uni-wuerzburg.de

Source: Computational Optimization & Applications. Jan2025, Vol. 90 Issue 1, p77-112. 36p.

Subject Terms: *STOCHASTIC convergence, COMPUTATIONAL mathematics, APPLIED mathematics, NONLINEAR equations

Special issue on interdisciplinary perspectives in applied mathematics.

Authors: Ram, Mangey¹, Kharola, Shristi¹, Kumar, Akshay¹, Goyal, Nupur², Anand, Adarsh³

Source: Nonlinear Studies. 2024, Vol. 31 Issue 2, p353-356. 4p.

Subject Terms: *APPLIED mathematics, *FUZZY sets, *GOAL programming, *BURGERS' equation

Methodological Issues of the Fuzzy Set Theory (Generalizing Article).

Authors: Orlov, A. I.¹ (AUTHOR) prof-orlov@mail.ru

Source: Inorganic Materials. Apr2024, Vol. 60 Issue 4, p389-396. 8p.

Subject Terms: *FUZZY mathematics, *APPLIED mathematics, *SET theory, *MEMBERSHIP functions (Fuzzy logic), *INTERVAL analysis, *FUZZY sets

REGULARITY OF ALTERNATE QUADRA SUBMERGING POLAR FUZZY GRAPH AND ITS APPLICATION.

Authors: A., ANTHONI AMALI¹ anthoniamaliasir@gmail.com, ROSLINE, J. JESINTHA¹ jesi.simple@gmail.com

Source: Reliability: Theory & Applications. Mar2024, Vol. 19 Issue 1, p238-253. 16p.

Subject Terms: *FUZZY graphs, *APPLIED mathematics, *ARTIFICIAL intelligence

On the number of perfect matchings of middle graphs.

Authors: Lai, Jingchao¹ (AUTHOR) jclai1999@163.com, Yan, Weigen¹ (AUTHOR) weigenyan@263.net, Feng, Xing¹ (AUTHOR) fengxing@jmu.edu.cn

Source: Discrete Applied Mathematics. May2025, Vol. 366, p86-91. 6p.

Subject Terms: *DISCRETE mathematics, *APPLIED mathematics, *GRAPH connectivity, *PRODUCT lines

Reflection and transmission analysis of an acoustic trifurcated waveguide with wave‐bearing structural discontinuity.

Authors: Afsar, Haleem¹ (AUTHOR) afsarhaleem@gmail.com, Mahtab Alam, Mohammad² (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. May2025, Vol. 48 Issue 7, p7481-7494. 14p.

Subject Terms: *APPLIED mathematics, *PHYSICS, *EIGENFUNCTIONS, *DILUTION, *NOISE

Fixed point theorems for interpolative orthogonal relational in TVS-valued cone metric spaces.

Authors: Wangwe, Lucas¹ (AUTHOR) wangwelucas@gmail.com

Source: Boundary Value Problems. 5/5/2025, Vol. 2025 Issue 1, p1-29. 29p.

Subject Terms: *METRIC spaces, *APPLIED mathematics, *MATHEMATICAL mappings, *DIFFERENTIAL equations, *CONES, *FIXED point theory

Biochemical implementation of acceleration sensing and PIDA control.

Authors: Alexis, Emmanouil¹ (AUTHOR) ea2063@princeton.edu, Espinel-Ríos, Sebastián^1,2 (AUTHOR), Kevrekidis, Ioannis G.^3,4,5 (AUTHOR), Avalos, José L.^1,6,7,8,9 (AUTHOR)

Source: NPJ Systems Biology & Applications. 4/26/2025, Vol. 11 Issue 1, p1-9. 9p.

Subject Terms: *ACCELERATION (Mechanics), *APPLIED mathematics, *CHEMICAL reactions, *SPEED

Developing an imperialist competitive algorithm based on two improvement strategies in a hierarchical capacitated health network.

Authors: Khanduzi, Raheleh¹ (AUTHOR) khanduzi@gonbad.ac.ir, Sadati, Mir Ehsan Hesam^2,3 (AUTHOR) msadati@sabanciuniv.edu

Source: Neural Computing & Applications. Apr2025, Vol. 37 Issue 12, p7947-7970. 24p.

Subject Terms: *IMPERIALIST competitive algorithm, *APPLIED mathematics, *HEALTH facilities, *NP-hard problems, *LINEAR programming

A new approach for solving fuzzy non-linear equations using higher order iterative method.

Authors: Katuri, Srilakshmi¹ (AUTHOR), Maroju, Prashanth¹ (AUTHOR) maroju.prashanth@gmail.com

Source: Scientific Reports. Dec2025, Vol. 15 Issue 1, p1-11. 11p.

Subject Terms: *COMPUTATIONAL mathematics, *APPLIED mathematics, *COMPUTATIONAL complexity, *CHEMICAL engineers, *CHEMICAL engineering, *NONLINEAR equations

Bipartite unicyclic graphs with a unique perfect matching having the smallest positive eigenvalue equal to √2 − 1.

Authors: Barik, Sasmita¹ (AUTHOR) sasmita@iitbbs.ac.in, Behera, Subhasish¹ (AUTHOR), Kirkland, Steve² (AUTHOR)

Source: Linear & Multilinear Algebra. Apr2025, Vol. 73 Issue 6, p1019-1039. 21p.

Subject Terms: *DISCRETE mathematics, *APPLIED mathematics, *EIGENVALUES, *MATRICES (Mathematics), *BIPARTITE graphs, *MOLECULES

Reductions of GKZ systems and applications to cosmological correlators.

Authors: Grimm, Thomas W.¹ (AUTHOR) t.w.grimm@uu.nl, Hoefnagels, Arno¹ (AUTHOR) a.hoefnagels@uu.nl

Source: Journal of High Energy Physics. Apr2025, Vol. 2025 Issue 4, p1-61. 61p.

Subject Terms: *APPLIED mathematics, *FEYNMAN integrals, *DIFFERENTIAL geometry, *ALGEBRAIC geometry, *DIFFERENTIAL equations