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arXiv:2602.00429v1 Announce Type: new Abstract: Mixed-Integer Programming (MIP), particularly Mixed-Integer Linear Programming (MILP) and Mixed-Integer Quadratic Programming (MIQP), has found extensive applications in domains such...
arXiv:2602.00435v1 Announce Type: new Abstract: We characterize the gauge profile of $\mathcal{D}_s$, the set of reals with effective dimension $s$, and $\mathcal{D}_{\leq s}$, the set...
arXiv:2602.00436v1 Announce Type: new Abstract: Pure lattice gauge theories in three dimensions are widely expected to confine. A rigorous proof of confinement for three-dimensional $\mathrm{U}(1)$...
arXiv:2602.00437v1 Announce Type: new Abstract: Empirical risk minimization (ERM) can be computationally expensive, with standard solvers scaling poorly even in the convex setting. We propose...
arXiv:2602.00439v1 Announce Type: new Abstract: By introducing a dynamical version of the second fundamental form, we generalize a recent result of Filip--Fisher--Lowe to the setting...
arXiv:2602.00442v1 Announce Type: new Abstract: The Hall number is a graph parameter closely related to the choice number. Here it is shown that the Hall...
arXiv:2602.00448v1 Announce Type: new Abstract: In this paper, we study a class of misspecified variational inequalities (VIs) where both the monotone operator and nonlinear convex...
arXiv:2602.00455v1 Announce Type: new Abstract: In this paper, we investigate the 2D and 3D compressible Navier-Stokes-Korteweg system derived by Dunn and Serrin [Arch. Ration. Mech....
arXiv:2602.00461v1 Announce Type: new Abstract: We develop a combinatorial and order-theoretic framework for shuffles, understood as ordered concatenations of indexed families of sequences that induce...
arXiv:2602.00467v1 Announce Type: new Abstract: This paper investigates the Stirling numbers of the first and second kind associated with a delta series f (t). These...
arXiv:2602.00472v1 Announce Type: new Abstract: In this note, we derive a Leibniz rule for difference quotient.
arXiv:2602.00479v1 Announce Type: new Abstract: In this paper, we give two new characterizations of the bounded lower oscillation(BLO) space by using the Gaussian heat semigroup....
arXiv:2602.00503v1 Announce Type: new Abstract: We generalize the formula for the log canonical threshold(LCT) of plane curves over the complex numbers to arbitrary characteristics. Our...
arXiv:2602.00517v1 Announce Type: new Abstract: In this paper, we investigate numerical solutions for inverse singular value problems (for short, ISVPs) arising in various applications. Inspired...
arXiv:2602.00530v1 Announce Type: new Abstract: A coline graph $\text{co}(G)$ of a graph $G$ is the graph with vertex set $E(G)$ for which two vertices $e$...
arXiv:2602.00544v1 Announce Type: new Abstract: In 1996, Meshulam proved that any sequence generated in Euclidean space by randomly projecting onto affine subspaces drawn from a...
arXiv:2602.00556v1 Announce Type: new Abstract: The semilinear stochastic wave equation on the sphere driven by multiplicative Gaussian noise is discretized by a stochastic trigonometric integrator...
arXiv:2602.00572v1 Announce Type: new Abstract: Let $k\ge 2$ and $N\ge 1$ be integers. Let $D$ be a positive integer that is congruent to a square...
arXiv:2602.00578v1 Announce Type: new Abstract: We prove that, over a field of characteristic $0$, the degrees of factors of a binomial $t^n-\alpha$ are divisible by...
arXiv:2602.00581v1 Announce Type: new Abstract: The classical Poincar\'e estimate establishes closedness of the range of the gradient in unweighted $L^2(\Omega)$-spaces as long as $\Omega\subseteq\mathbb{R}^3$ is...
arXiv:2602.00584v1 Announce Type: new Abstract: In this paper, we are mainly concerned with the Liouville type problem for the stationary fractional magnetohydrodynamics(MHD) and stationary fractional...
arXiv:2602.00599v1 Announce Type: new Abstract: We study the long-time behavior of small solutions for a broad class of 2D Dirac-type equations with suitable nonlinearities. First,...
arXiv:2602.00601v1 Announce Type: new Abstract: The notion of warped product plays an important role in Riemannian geometry moreover in geodesic metric spaces. The warped product...
arXiv:2602.00602v1 Announce Type: new Abstract: Classical noncompact reductive Lie group $G$ admits a compactification $\overline{G}$ as a Riemannian symmetric space by He. First, we provide...