Results 91 to 100 of about 1,087,226 (284)
By jagged partitions we refer to an ordered collection of non-negative integers $(n_1,n_2,..., n_m)$ with $n_m\geq p$ for some positive integer $p$, further subject to some weakly decreasing conditions that prevent them for being genuine partitions. The case analyzed in greater detail here corresponds to $p=1$ and the following conditions $n_i\geq n_{i+
Fortin, J.-F., Jacob, P., Mathieu, P.
openaire +3 more sources
Aging Is a Key Driver for Adult Acute Myeloid Leukemia
Acute myeloid leukemia (AML) is a classical age‐related hematologic malignancy, and a key driver of AML is aging, which profoundly regulates intrinsic factors such as genomic instability, epigenetic reprogramming, and metabolic dysregulation, and alters bone marrow microenvironment.
Rong Yin, Haojian Zhang
wiley +1 more source
Partition Statistics for Cubic Partition Pairs [PDF]
In this brief note, we give two partition statistics which explain the following partition congruences: \begin{align*} b(5n+4) &\equiv 0 \pmod{5}, \\ b(7n+a) &\equiv 0 \pmod{7}, \text{if $a=2$, $3$, $4$, or $6$}. \end{align*} Here, $b(n)$ is the number of $4$-color partitions of $n$ with colors $r$, $y$, $o$, and $b$ subject to the ...
openaire +2 more sources
ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu +11 more
wiley +1 more source
Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
wiley +1 more source
Implementation for the cases (5, 4) and (5, 4)/(2, 0)
The goal of this work is to investigate the use of the ѠѠeyl module's resolution in the situation of two rows described in the partitions (5, 4) and (5, 4)/(2, 0), utilizing the homological ѠѠeyl after we find the terms of these resolutions.
Hashim Hayder Muhi +1 more
doaj +1 more source
In 1918, Hardy and Ramanujan published a seminal paper which included an asymptotic formula for the partition function. In their paper, they also claim without proof an asymptotic equivalence for $p^k(n)$, the number of partitions of a number $n$ into $k$-th powers.
openaire +3 more sources
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
wiley +1 more source
College Students’ Preferences for Reading Desk Partition Designs in University Libraries
This study intends to find out college students' preferences for library reading desk partition designs and their habits of using reading desks in relation to the designs. The research data are 4,725 questionnaires replied by college students. This study
Koli Chen
doaj +1 more source
ABSTRACT Objectives WHO grade 4 astrocytomas are associated with poor prognosis, and their prognostic factors remain controversial. This study aimed to identify the prognostic factors and develop a management algorithm for these patients. Methods This study retrospectively included 151 CNS5 adult grade 4 astrocytomas from two medical centers.
Jiawei Cai +13 more
wiley +1 more source

