Inequalities and counterexamples for functional intrinsic volumes and beyond
Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
On the connection between Hausdorff measures and generalized capacity [PDF]
R. B. Darst
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Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture
Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
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Improving rectal tumor segmentation with anomaly fusion derived from anatomical inpainting: a multicenter study. [PDF]
Cai L +9 more
europepmc +1 more source
The isominwidth problem on the 2‐sphere
Abstract Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if the minimal width is at most π2$\tfrac{\pi }{2}$. If the width is greater than π2$\tfrac{\pi }{2}$, the regular triangle no longer minimizes the area at fixed ...
Ansgar Freyer, Ádám Sagmeister
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Hybrid intelligence in medical image segmentation. [PDF]
Ali NM +4 more
europepmc +1 more source
Hausdorff Similarity Measure on Neutrosophic Soft Set with Its Applicability in Decision Making
Doyel Sarkar, Sharmistha Ghosh
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Hausdorff dimension of unions of k$k$‐planes
Abstract We prove a conjecture of R. Oberlin and Héra on the dimension of unions of k$k$‐planes. Let 0
Shengwen Gan
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A study on q-analogue of generalized Motzkin sequence spaces, their matrix transformations and compact operators. [PDF]
Quan JJ, Narrania D, Raj K, Cai QB.
europepmc +1 more source
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
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