Results 71 to 80 of about 1,404 (215)
Powers of graphs & applications to resolutions of powers of monomial ideals [PDF]
, 2021 Susan Cooper +6 more
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Controlling Dynamical Systems Into Unseen Target States Using Machine Learning
Advanced Intelligent Systems, Volume 8, Issue 5, May 2026.Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr +2 more
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Reverse search for monomial ideals
Journal of Symbolic Computation, 2009 Let \(I\) be a monomial ideal minimally generated by \(x^{\mathbf a_1},\dots, x^{\mathbf a_r}\) in a polynomial ring \(S=k[x_1,\dots, x_n]\) over a field \(k\). For an element \(\mathbf b\) in \(\mathbb N^n\), set \[ K_\mathbf b=\{F\subset\{1,2,\dots,n\}\mid x^{\mathbf b-F}\in I\}, \] where we identify a subset \(F\) of \(\{1,2,\dots,n\}\) with the 0-1
Dave Bayer, Amelia Taylor
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WHEN ARE SYMMETRIC IDEALS MONOMIAL?
Journal of Commutative Algebra, 2023 The notation has been updated and the main result extended; 9 ...
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Water Resources Research, Volume 62, Issue 5, May 2026.Abstract Flash floods frequently occur in steep mountainous catchments, where topographic gradients play a crucial role in concentrating and accelerating runoff processes. Two‐dimensional (2D) shallow water equations (SWE) are widely used to simulate such events; however, these equations are classically derived assuming small bottom slopes, typically ...
P. Costabile, A. Maranzoni
wiley +1 more source
A note on relative Gelfand–Fuks cohomology of spheres
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study the Gelfand–Fuks cohomology of smooth vector fields on Sd$\mathbb {S}^d$ relative to SO(d+1)$\mathrm{SO}(d+1)$ following a method of Haefliger that uses tools from rational homotopy theory. In particular, we show that H∗(BSO(4);R)$H^*(\mathrm{B}\mathrm{SO}(4);\mathbb {R})$ injects into the relative Gelfand–Fuks cohomology which ...
Nils Prigge
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Depth and Stanley depth of the edge ideals of the powers of paths and cycles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Let k be a positive integer. We compute depth and Stanley depth of the quotient ring of the edge ideal associated to the kth power of a path on n vertices.
Iqbal Zahid, Ishaq Muhammad
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2019 The task of the description up to equivalency of the matrix representations of finite pgroups of order greater then p aver a commutative local ring of characteristics of ps (s > 0) that is not a field contains the classical unsolved problem of pair of ...
О. А. Тилищак
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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
wiley +1 more source
Entrywise transforms preserving matrix positivity and nonpositivity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We characterize real and complex functions which, when applied entrywise to square matrices, yield a positive definite matrix if and only if the original matrix is positive definite. We refer to these transformations as sign preservers. Compared to the classical work on entrywise preservers by Schoenberg and others, we completely resolve this ...
Dominique Guillot +3 more
wiley +1 more source