Results 71 to 80 of about 623,284 (221)

A generalization of the discrete version of Minkowski's fundamental theorem [PDF]

open access: yes, 2014
One of the most fruitful results from Minkowski's geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only interior lattice point is the ...
Bernardo González Merino, M. Henze
semanticscholar   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

On Hölder and Minkowski Type Inequalities

open access: yesAbstract and Applied Analysis, 2014
We obtain inequalities of Hölder and Minkowski type with weights generalizing both the case of weights with alternating signs and the classical case of nonnegative weights.
Petr Chunaev   +2 more
openaire   +6 more sources

Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies

open access: yes, 2013
Let K \subset R^N be a convex body containing the origin. A measurable set G \subset R^N with positive Lebesgue measure is said to be uniformly K-dense if, for any fixed r > 0, the measure of G \cap (x + rK) is constant when x varies on the boundary of G
CM Petty   +15 more
core   +1 more source

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
wiley   +1 more source

Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley   +1 more source

Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 1, Page 428-438, 10 January 2026.
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley   +1 more source

Some improvements of Minkowski’s integral inequality on time scales

open access: yes, 2013
In the paper, we establish some improvements of Minkowski’s inequality on time scales via the delta integral, nabla integral and diamond-α dynamic integral, which is defined as a linear combination of the delta and nabla integrals.MSC:26D15, 26E70.
Guangsheng Chen
semanticscholar   +1 more source

An Explainable Triple‐Layered Ensemble Model for Early Prediction of Suicide Risk Using Machine Learning

open access: yesEngineering Reports, Volume 8, Issue 1, January 2026.
A novel Triple‐Layer Ensemble (TLE) model accurately predicts suicide risk with 94.81% accuracy, enhanced by explainable AI techniques. Key risk factors are identified, and a web‐based tool enables real‐time, interpretable assessments to support timely, personalized interventions.
Md. Samiul Alom   +6 more
wiley   +1 more source

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