Results 71 to 80 of about 7,794,861 (172)

On Lev's periodicity conjecture

Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1496-1511, May 2025.
Abstract We classify the sum‐free subsets of F3n${\mathbb {F}}_3^n$ whose density exceeds 16$\frac{1}{6}$. This yields a resolution of Vsevolod Lev's periodicity conjecture, which asserts that if a sum‐free subset A⊆F3n${A\subseteq {\mathbb {F}}_3^n}$ is maximal with respect to inclusion and aperiodic (in the sense that there is no non‐zero vector v$v$
Christian Reiher
wiley   +1 more source

Generating Medical Reports With a Novel Deep Learning Architecture

International Journal of Imaging Systems and Technology, Volume 35, Issue 2, March 2025.
ABSTRACT The writing of medical reports by doctors in hospitals is a critical and sensitive process that is time‐consuming, prone to human error, and requires medical experts on site. Existing work on autonomous medical report generation using medical images as input has not achieved sufficiently high success. The goal of this paper is to present a new,
Murat Ucan, Buket Kaya, Mehmet Kaya
wiley   +1 more source

On volume and surface area of parallel sets. II. Surface measures and (non)differentiability of the volume

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 895-912, March 2025.
Abstract We prove that at differentiability points r0>0$r_0>0$ of the volume function of a compact set A⊂Rd$A\subset \mathbb {R}^d$ (associating to r$r$ the volume of the r$r$‐parallel set of A$A$), the surface area measures of r$r$‐parallel sets of A$A$ converge weakly to the surface area measure of the r0$r_0$‐parallel set as r→r0$r\rightarrow r_0 ...
Jan Rataj, Steffen Winter
wiley   +1 more source

A boundary value problem on the half-line for superlinear differential equations with changing sign weight [PDF]

, 2012
The existence of positive solutions x for a superlinear differential equation with p-Laplacian is here studied, satisfying the boundary conditions x(0) = x(∞) = 0.
Marini, Mauro, Matucci, Serena
core   +2 more sources

The Transcription Factor SOX18 Inhibitor Small Molecule 4 Is a Potential Treatment of Cancer‐Induced Lymphatic Metastasis and Lymphangiosarcoma

Cancer Reports, Volume 8, Issue 1, January 2025.
ABSTRACT Background Malignant tumors release growth factors, promoting lymphangiogenesis in primary tumors and draining sentinel lymph nodes, ultimately facilitating lymph node metastasis. As a malignant lymphatic tumor entity, lymphangiosarcomas are characterized by low survival rates and limited treatment options. The transcription factor SOX18 plays
Katja K. Koll, Martin M. Zimmermann, Patrick A. Will, Ulrich Kneser, Christoph Hirche   +4 more
wiley   +1 more source

On the coarse classification of tight contact structures

, 2003
We present a sketch of the proof of the following theorems: (1) Every 3-manifold has only finitely many homotopy classes of 2-plane fields which carry tight contact structures.
Colin, Vincent, Giroux, Emmanuel, Honda, Ko   +2 more
core   +2 more sources

A Sharp Threshold for a Random Version of Sperner's Theorem

Random Structures &Algorithms, Volume 66, Issue 1, January 2025.
ABSTRACT The Boolean lattice 𝒫(n) consists of all subsets of [n]={1,…,n}$$ \left[n\right]=\left\{1,\dots, n\right\} $$ partially ordered under the containment relation. Sperner's Theorem states that the largest antichain of the Boolean lattice is given by a middle layer: the collection of all sets of size n/2$$ \left\lfloor n/2\right\rfloor $$, or also,
József Balogh, Robert A. Krueger
wiley   +1 more source

There is no 290‐Theorem for higher degree forms

Mathematische Nachrichten, Volume 297, Issue 11, Page 4322-4332, November 2024.
Abstract We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be characterized by any variant of the 290‐Theorem of Bhargava–Hanke.
Vítězslav Kala, Om Prakash
wiley   +1 more source

Relative Oscillation Theory, Weighted Zeros of the Wronskian, and the Spectral Shift Function

, 2008
We develop an analog of classical oscillation theory for Sturm-Liouville operators which, rather than measuring the spectrum of one single operator, measures the difference between the spectra of two different operators. This is done by replacing zeros
A. Kneser, A. Zettl, B. Simon, B. Simon, D.R. Yafaev, F. Gesztesy, F. Gesztesy, F. Gesztesy, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, F.S. Rofe-Beketov, G. Stolz, G. Teschl, G. Teschl, G. Teschl, G. Teschl, Gerald Teschl, H. Krüger, Helge Krüger, I. Gohberg, J. Weidmann, J. Weidmann, J. Weidmann, J.C.F. Sturm, K.M. Schmidt, K.M. Schmidt, K.M. Schmidt, M. Reed, M.G. Krein, M.S.P. Eastham, M.Sh. Birman, P. Hartman, P. Hartman, P. Hartman, S.V. Khryashchev, T. Kato, W. Leighton, W. Walter   +38 more
core   +8 more sources

Maximal cocliques and the chromatic number of the Kneser graph on chambers of PG(3,q) $(3,q)$

Journal of Combinatorial Designs, Volume 32, Issue 7, Page 388-409, July 2024.
Abstract Let Γ ${\rm{\Gamma }}$ be the graph whose vertices are the chambers of the finite projective 3‐space PG(3,q) $\text{PG}(3,q)$, with two vertices being adjacent if and only if the corresponding chambers are in general position. We show that a maximal independent set of vertices of Γ ${\rm{\Gamma }}$ contains q4+3q3+4q2+3q+1 ${q}^{4}+3{q}^{3}+4 ...
Philipp Heering, Klaus Metsch
wiley   +1 more source