Results 41 to 50 of about 307,376 (353)
Enumeration of points, lines, planes, etc [PDF]
One of the earliest results in enumerative combinatorial geometry is the following theorem of de Bruijn and Erdős: Every set of points $E$ in a projective plane determines at least $|E|$ lines, unless all the points are contained in a line.
June Huh, Bo-Tong Wang
semanticscholar +1 more source
Formulas for the cycle index of the representation of the symmetric group of degree \(n\) acting on all subsets of the object set are derived and applied through \(n=7\). These can be used to enumerate hypergraphs with Pólya's enumeration theorem. The approach is similar to that of \textit{E. M. Palmer} [Discrete Math. 6, 377-390 (1973; Zbl 0269.05110)]
openaire +2 more sources
Polytropes are both ordinary and tropical polytopes. We show that tropical types of polytropes in $\mathbb{TP}^{n-1}$ are in bijection with cones of a certain Gröbner fan $\mathcal{GF}_n$ in $\mathbb{R}^{n^2 - n}$ restricted to a small cone called the polytrope region.
openaire +4 more sources
ABSTRACT Background Children with sickle cell anemia (SCA) in low‐income settings are at risk of severe malnutrition, but optimal nutritional management has not been established. We evaluated an intensified ready‐to‐use therapeutic food (RUTF) regimen in children with persistent severe malnutrition after initial treatment and assessed whether early ...
Safiya Gambo +9 more
wiley +1 more source
An Open-Source Cognitive Test Battery to Assess Human Attention and Memory
Cognitive test batteries are widely used in diverse research fields, such as cognitive training, cognitive disorder assessment, or brain mechanism understanding.
Maxime Adolphe +9 more
doaj +1 more source
Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine +17 more
wiley +1 more source
Circulating tumor cell (CTC) analysis holds great potential to be a noninvasive solution for clinical cancer management. A complete workflow that combined CTC detection and single‐cell molecular analysis is required.
Peng‐Xiang Wang +16 more
doaj +1 more source
Formulae for the generating functions for hypergraphs, dihypergraphs, oriented hypergraphs, selfcomplementary directed hypergraphs and self complementary hypergraphs are presented here.
Hegde, M, Sridharan, MR
openaire +2 more sources
Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz +12 more
wiley +1 more source
ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani +7 more
wiley +1 more source

