Results 71 to 80 of about 54,116 (276)

From Dedekind’s Level 12 Identities to Combinatorial Structures of Colored Partitions

Axioms
The Dedekind η-function plays an important role in number theory, particularly in the study of modular forms, q-series, and partition identities. In this paper, we investigate several level-12 η-function identities and examine their combinatorial ...
Fatemah Mofarreh, Arooj Fatima, Ahmer Ali   +2 more
doaj   +1 more source

Assessing Cognitive Functioning in Children With Brain Tumors: Interaction of Neighborhood Social Determinants of Health and Neurological Risk

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background This study investigated how neighborhood‐level social determinants of health (SDOH), including redlining and neurological risk, interact to influence cognitive outcomes in children treated for brain tumors (CTBT). Methods A retrospective chart review of 161 CTBT aged 5–17 was conducted.
Alannah R. Srsich, Manali Zope, Peter M. Fantozzi, Cassie N. Kline, Iris Paltin, Matthew C. Hocking   +5 more
wiley   +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

Serological Benefit of SARS‐CoV‐2 Vaccination Relative to Infection in Children With Acute Lymphoblastic Leukemia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro, Freda Qi, Karen Colwill, Alina D. Dorogy, Ying Liu, Michelle Science, Anne‐Claude Gingras, James M. Rini, Sumit Gupta, Sarah Alexander, Shelly Bolotin, Tania H. Watts   +11 more
wiley   +1 more source

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

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

Powers of a Matrix and Combinatorial Identities

, 2005
In this article we obtain a general polynomial identity in $k$ variables, where $k\geq 2$ is an arbitrary positive integer. We use this identity to give a closed-form expression for the entries of the powers of a $k \times k$ matrix. Finally, we use these results to derive various combinatorial identities.
McLaughlin, James, Sury, B.
openaire   +4 more sources

Deep Sequencing of FLT3‐ITD Enables Response Evaluation and Post‐Treatment Monitoring in Childhood AML: An Exploratory Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An internal tandem duplication in the gene encoding Fms‐like tyrosine kinase 3 (FLT3‐ITD) is associated with high relapse risk and poor prognosis in acute myeloid leukemia (AML) and plays a crucial role in treatment decisions. Measurable residual disease (MRD) analysis of FLT3‐ITD during and after treatment has shown prognostic ...
Sofie Johansson Alm, Bea Tornberg, Erik Delsing Malmberg, Henrik Hasle, Kristian Løvvik Juul‐Dam, Lars Palmqvist, Borhan R. Saeed, Giti Shah Barkhordar, Anastasia Soboli, Anna Staffas, Jonas Abrahamsson, Linda Fogelstrand   +11 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

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

Therapeutic Apheresis for Intravenous Methylprednisolone‐Refractory Neuromyelitis Optica Spectrum Disorder: Clinical and Radiological Outcomes in a Single‐Center Case Series

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Neuromyelitis optica spectrum disorder (NMOSD) is a relapsing autoimmune disease of the central nervous system. High‐dose intravenous methylprednisolone (IVMP) is the standard first‐line therapy for acute attacks, although some patients remain refractory.
Wataru Horiguchi, Daisuke Katagiri, Takeyuki Watadani, Shunichi Matsuda, Hiroshi Kaneko, Noritoshi Arai   +5 more
wiley   +1 more source