Results 91 to 100 of about 9,522 (300)

Some combinatorial identities concerning harmonic numbers and binomial coefficients [PDF]

Discrete Mathematics Letters, 2021
Dongwei Guo
doaj   +1 more source

Infinite products over hyperpyramid lattices

International Journal of Mathematics and Mathematical Sciences, 2000
New infinite product identities are given, based on summed visible (from the origin) point vectors. Each result is found from summing on vpv lattices dividing space into radial regions from the origin. Recently, Baake et al.
Geoffrey B. Campbell
doaj   +1 more source

Combinatorial Identities for Incomplete Tribonacci Polynomials [PDF]

, 2014
The incomplete tribonacci polynomials, denoted by Tn(s)(x), generalize the usual tribonacci polynomials Tn (x) and have been shown to satisfy several algebraic identities.
Mark Shattuck, Shattuck, Mark
core   +1 more source

Natural Killer Cells in Paediatric Soft Tissue Sarcomas: A Systematic Review

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Paediatric soft tissue sarcomas (pSTS) are a rare and heterogeneous group of malignant tumours arising in tissues of mesenchymal origin. The role of natural killer (NK) cells in pSTS remains poorly understood, with evidence fragmented across small preclinical studies and early‐phase clinical trials.
Raya Dean, Lara V. Graham, Christina Putnam, Rosa Gomes Alves Martins, Daniel T. Harding, Tim J. Underwood, Zoë S. Walters, Matthew D. Blunt   +7 more
wiley   +1 more source

A new proof of Boole’s additive combinatorics formula [PDF]

Discrete Mathematics Letters, 2022
Necdet Batır, Sevda Atpınar
doaj   +1 more source

On some combinatorial identities involving the Horadam numbers. [PDF]

, 2019
On some combinatorial identities involving the Horadam ...
Goy, T.
core  

On Hierarchical Composite Endpoints in Pediatric Cancer Supportive Care: Illustrative Examples From Two Multi‐Center Phase‐III Randomized Clinical Trials

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier, Mark Zobeck, Adam J. Esbenshade, Christopher C. Dvorak, Lillian Sung, David Freyer, Sarah Alexander, Etan Orgel, Nicole J. Ullrich, Zach Prudowsky, Brian Fisher, Caitlin W. Elgarten   +11 more
wiley   +1 more source

Combinatorial Interpretations of Fibonomial Identities [PDF]

, 2011
The Fibonomial numbers are defined by \[ \begin{bmatrix}n \\ k \end{bmatrix} = \frac{\prod_{i=n-k+1} ^{n} F_i}{\prod_{j=1}^{k} F_j} \] where $F_i$ is the $i$th Fibonacci number, defined by the recurrence $F_n=F_{n-1}+F_{n-2}$ with initial conditions ...
Reiland, Elizabeth
core   +1 more source

The Role of Chemotherapy in Pediatric Myoepithelial Carcinoma: A Systematic Review of the Literature

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Myoepithelial carcinoma (MEC) in pediatric patients is a rare and aggressive malignancy characterized by heterogeneous morphology and variable molecular features. The optimal role of chemotherapy remains unclear. We conducted a systematic review according to PRISMA 2020 guidelines to evaluate chemotherapy in pediatric and young‐adult patients ...
Marco Salvi, Maria Carmen Affinita, Giulia Fichera, Luisa Santoro, Angela Scagnellato, Calogero Virgone, Elena Poli, Gianni Bisogno   +7 more
wiley   +1 more source

n-Color partitions with weighted differences equal to minus two

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
doaj   +1 more source