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pro vyhledávání: '"Quan, Hui"'
Let $\mathbb{N}$ be the set of all nonnegative integers. For $S\subseteq \mathbb{N}$ and $n\in \mathbb{N}$, let $R_S(n)$ denote the number of solutions of the equation $n=s+s'$, $s, s'\in S$, $s
Externí odkaz:
http://arxiv.org/abs/2312.17098
Let $k\ge 2$ be an integer and let $A$ be a set of nonnegative integers. The representation function $R_{A,k}(n)$ for the set $A$ is the number of representations of a nonnegative integer $n$ as the sum of $k$ terms from $A$. Let $A(n)$ denote the co
Externí odkaz:
http://arxiv.org/abs/2303.01314
The primary objective of phase I oncology studies is to establish the safety profile of a new treatment and determine the maximum tolerated dose (MTD). This is motivated by the development of cytotoxic agents based on the underlying assumption that t
Externí odkaz:
http://arxiv.org/abs/2302.04777
For integer $h\geq2$ and $A\subseteq\mathbb{N}$, we define $hA$ to be all integers which can be written as a sum of $h$ elements of $A$. The set $A$ is called an asymptotic basis of order $h$ if $n\in hA$ for all sufficiently large integers $n$. An a
Externí odkaz:
http://arxiv.org/abs/2301.11148
Autor:
Kai-yu Ye, Jie-wei Li, Fa-ming Wang, Jian-you Gao, Cui-xia Liu, Hong-juan Gong, Bei-bei Qi, Ping-ping Liu, Qiao-sheng Jiang, Jian-min Tang, Quan-hui Mo
Publikováno v:
BMC Genomics, Vol 25, Iss 1, Pp 1-22 (2024)
Abstract The homeodomain-leucine zipper (HD-Zip) gene family plays a pivotal role in plant development and stress responses. Nevertheless, a comprehensive characterization of the HD-Zip gene family in kiwifruit has been lacking. In this study, we hav
Externí odkaz:
https://doaj.org/article/ecd97f9fa86e46c3b1a2209358261657
Let $\varphi (x_{1}, \ldots, x_{h})=c_{1} x_{1}+\cdots+c_{h} x_{h}$ be a linear form with coefficients in a field $\mathbf{F}$, and let $V$ be a vector space over $\mathbf{F}$. A nonempty subset $A$ of $V$ is a $\varphi$-Sidon set if $\varphi\left(a_
Externí odkaz:
http://arxiv.org/abs/2111.15485
Autor:
Zhao, Yining, ODell, Samantha, Yang, Xiaohan, Liao, Jingyi, Yang, Kexin, Fumanelli, Laura, Zhou, Tao, Lv, Jiancheng, Ajelli, Marco, Liu, Quan-Hui
Contact patterns play a key role in the spread of respiratory infectious diseases in human populations. During the COVID-19 pandemic the regular contact patterns of the population has been disrupted due to social distancing both imposed by the author
Externí odkaz:
http://arxiv.org/abs/2111.13816
Autor:
Yang, Quan-Hui, Zhao, Lilu
Let $\Delta(n)$ denote the smallest positive integer $m$ such that $a^3+a(1\le a\le n)$ are pairwise distinct modulo $m$. The purpose of this paper is to determine $\Delta(n)$ for all positive integers $n$.
Comment: Correct a print mistake in Th
Comment: Correct a print mistake in Th
Externí odkaz:
http://arxiv.org/abs/2111.11227
Let $\mathbb{N}$ be the set of all nonnegative integers. For $S\subseteq \mathbb{N}$ and $n\in \mathbb{N}$, let $R_S(n)$ denote the number of solutions of the equation $n=s_1+s_2$, $s_1,s_2\in S$ and $s_1
Externí odkaz:
http://arxiv.org/abs/2111.07754
Autor:
Yang, Quan-Hui, Zhao, Lilu
Given a positive integer $n\ge 2$, let $D(n)$ denote the smallest positive integer $m$ such that $a^3+a(1\le a\le n)$ are pairwise distinct modulo $m^2$. A conjecture of Z.-W. Sun states that $D(n)=3^k$, where $3^k$ is the least power of $3$ no less
Externí odkaz:
http://arxiv.org/abs/2111.02746