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1.
周佳立 《浙江大学学报(A卷英文版)》2003,4(6)
The p-norm joint spectral radius is defined by a bounded collection of square matrices with complex entries and of the same size. In the present paper the author investigates the p-norm joint spectral radius for integers. The method introduced in this paper yields some basic formulas for these spectral radii. The approach used in this paper provides a simple proof of Berger-Wang's relation concerning the ∞-norm joint spectral radius. 相似文献
2.
对0〈t〈1,引进了广义弱亚正规算子的概念,这类算子包含所有的弱亚正规算子。证出若T是广义弱亚正规算子,则T的谱半径与它的范数相等,并证出广义弱亚正规算子的点谱与联合点谱,近似点谱与联合近似点谱的非零点分别相同。 相似文献
4.
郑星中 《咸阳师范学院学报》2011,26(2):4-6
利用对矩阵元素分析的方法,将矩阵元素和非负矩阵的谱半径联系起来,从而将非负矩阵谱半径的大小比较转化为非负矩阵元素的大小比较。利用这种关系分别对一般非负矩阵和半正定非负矩阵的谱半径做了研究。 相似文献
5.
方坤夫 《湖州师范学院学报》2006,28(2):10-12
图谱理论是图论研究的重要领域之一,从图的最大特征值所对应的特征向量出发。对图的邻接谱的谱半径的上界作了估计,得到了多种形式的图谱半径的上界. 相似文献
6.
Henderijn Heldens Anouke Bakx Perry den Brok 《Educational Research and Evaluation》2013,19(7-8):515-536
Teacher educators’ collaboration plays an important role in the improvement of teacher education. Many studies in educational research focus on collaboration from 1 particular perspective. A focus on 2 perspectives, a qualitative (focusing on collaborative activities) as well as a quantitative (focusing on relations) perspective, and relating both perspectives, can add to our knowledge. Data were collected in 3 subject departments of a teacher education institute. Findings indicated that educators’ collaborative networks inside the departments could gain from more coherent and dense relations, and that key players were important to support and sustain collaboration. Both perspectives were mildly related, correlations were found for “degree” and “information” (r = .31, p < .05), “degree” and “joint work” (r = .38, p < .01), and “reciprocity” and “joint work” (r = .33, p < .05), no correlations were found for “degree” or “reciprocity” and “discussing”. At the department level, only mathematics showed significant correlations. Results indicated that, in further research, qualitative aspects as well as quantitative aspects should be included. 相似文献
7.
LU Li-gang YAN Li-tan XIANG Li-chi 《浙江大学学报(A卷英文版)》2007,8(1):158-163
INTRODUCTION Throughout this paper, we shall work with a filtered complete probability space (?,F,(Ft),P) sat-isfying the usual conditions. Let B=(Bt)t≥0 be a stan-dard Brownian motion with B0=0. Denote by ú the set of all non-negative real numbers. Recall that a diffusion process X starting at x≥0 is called the square of a Bessel process of dimension δ>0 if d X t = δd t 2 | X t |d Bt , X 0= x, (1) Clearly, this equation has a unique non-negative strong solution X, i.e., … 相似文献
8.
卢自娟 《赣南师范学院学报》2010,31(3):14-17
研究一种直径趋于无穷大的图类K2,r-单路图,利用图谱理论和高等数学求极限的方法,求得当点数n趋于无穷时,K2,r-单路图的谱半径有极限,并且求出了该极限值.进一步验证了该极限值即为K2,r-单路图的一个上界. 相似文献
9.
10.
Congruences for finite triple harmonic sums 总被引:1,自引:0,他引:1
FU Xu-dan ZHOU Xia CAI Tian-xin 《浙江大学学报(A卷英文版)》2007,8(6):946-948
Zhao (2003a) first established a congruence for any odd prime p>3, S(1,1,1;p)≡-2Bp-3 (mod p), which holds when p=3 evidently. In this paper, we consider finite triple harmonic sum S(α,β,γ;p) (mod p) is considered for all positive integers α,β,γ. We refer to w=α β γ as the weight of the sum, and show that if w is even, S(α,β,γ;p)≡0 (mod p) for p≥w 3; if w is odd, S(α,β,γ;p)≡rBp≥w (mod p) for p≥w, here r is an explicit rational number independent of p. A congruence of Catalan number is obtained as a special case. 相似文献
11.
In this paper, it is proved that the radial pth mean body RpK(p 〉 0) is homothetic to the difference body DK when K is a simplex, Furthermore, the equality Rp(Rq) = Rq(Rp) is established when p 〉 0 and q 〉 0. It is also proved the Brunn-Minkowski inequality of radial pth mean body of simplex and uniqueness property. 相似文献
12.
主要讨论了Banach格E上Co-半群的局部谱半径的性质,一些相应的特征也得以讨论. 相似文献
13.
Parallel machine scheduling problems, which are important discrete optimization problems, may occur in many applications.
For example, load balancing in network communication channel assignment, parallel processing in large-size computing, task
arrangement in flexible manufacturing systems, etc., are multiprocessor scheduling problem. In the traditional parallel machine
scheduling problems, it is assumed that the problems are considered in offline or online environment. But in practice, problems
are often not really offline or online but somehow in-between. This means that, with respect to the online problem, some further
information about the tasks is available, which allows the improvement of the performance of the best possible algorithms.
Problems of this class are called semi-online ones. In this paper, the semi-online problemP2|decr|l
p (p>1) is considered where jobs come in non-increasing order of their processing times and the objective is to minimize the sum
of thel
p norm of every machine's load. It is shown thatLS algorithm is optimal for anyl
p norm, which extends the results known in the literature. Furthermore, randomized lower bounds for the problemsP2|online|l
p andP2|decr|l
p are presented.
Project supported by the National Natural Science Foundation of China (Nos. 10271110, 10301028) and the Teaching and Research
Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China 相似文献
14.
Hierarchical Bayesian method for estimating the failure probabilityp
i under DOOF by taking the quasi-Beta distributionB(p
i−1, 1, 1,b) as the prior distribution is proposed in this paper. The weighted Least Squares Estimate method was used to obtain the formula
for computing reliability distribution parameters and estimating the reliability characteristic values under DOOF. Taking
one type of aerospace electrical connector as an example, the correctness of the above method through statistical analysis
of electrical connector accelerated life test data was verified.
Project (No. 59975081) supported by the National Natural Science Foundation of China 相似文献
15.
赋权图的谱常常用来解决网络和电路设计中的问题.本文主要研究有固定的正权集合的赋权树的邻接谱半径与独立数、匹配数、覆盖数、边覆盖数之间的关系,并确定具有最大邻接谱半径的赋权树. 相似文献
16.
Analyses of the correlation between hyperspectral reflectance and pigment content including chlorophyll-a, chlorophyll-b and
carotenoid of leaves in different sites of rice were reported in this paper. The hyperspectral reflectance of late rice during
the whole growing season was measured using a Spectroradiometer with spectral range of 350–1050 nm and resolution of 3 nm.
The chlorophyll-a, chlorophyll-b and carotenoid contents in rice leaves in rice fields to which different levels of nitrogen
were applied were measured. The chlorophyll-a content of upper leaves was well correlated with the spectral variables. However,
the correlation between both chlorophyll-b and caroteniod and the spectral variables was far from that of chlorophyll-a. The
potential of hyperspectral reflectance measurement for estimating chlorophyll-a of upper leaves was evaluated using univariate
correlation and multivariate regression analysis methods with different types of predictors. This study showed that the most
suitable estimated model of chlorophyll-a of upper leaves was obtained by using some hyperspectral variables such asSD
r,SD
b and their integration.
Project (No. 40171065) supported by the National Natural Science Foundation of China. 相似文献
17.
Hsiao‐Lin Tuan Chi‐Chin Chin Shyang‐Horng Shieh 《International Journal of Science Education》2013,35(6):639-654
The purpose of this study was to develop a questionnaire that measures students' motivation toward science learning (SMTSL). Six scales were developed: self‐efficacy, active learning strategies, science learning value, performance goal, achievement goal, and learning environment stimulation. In total, 1407 junior high school students from central Taiwan, varying in grades, sex, and achievements, were selected by stratified random sampling to respond to the questionnaire. The Cronbach alpha for the entire questionnaire was 0.89; for each scale, alpha ranged from 0.70 to 0.89. There were significant correlations (p?<?0.01) of the SMTSL questionnaire with students' science attitudes (r?=?0.41), and with the science achievement test in previous and current semesters (r p?=?0.40 and r c?=?0.41). High motivators and low motivators showed a significant difference (p?<?0.01) on their SMTSL scores. Findings of the study confirmed the validity and reliability of the SMTSL questionnaire. Implications for using the SMTSL questionnaire in research and in class are discussed in the paper. 相似文献
18.
Bruce Pourciau 《PRIMUS》2018,28(2):143-152
In a first proof-oriented mathematics course, students will often ask questions – for example, What is this problem asking me to do? or What would a proof of this even look like? – that have more to do with logic than mathematics. The logical structure of a proof is a dance involving those basic logical forms – such as p or q, if p then q, for every x in A we have p(x), there exists x in A such that p(x) – that appear in the theorem being proved, and at various stages of this dance these basic logical forms are either being proved or used. How does one prove a statement of the form There exists x in A such that p(x)? How does one use a statement of the form For every x in A we have p(x)? We introduce particular “proving and using words” that encourage the fledgling mathematics major to pay attention to these sorts of questions and to the logical structure of proofs in general. 相似文献
19.
《Learning disabilities research & practice》2017,32(4):208-215
p values are commonly reported in quantitative research, but are often misunderstood and misinterpreted by research consumers. Our aim in this article is to provide special educators with guidance for appropriately interpreting p values, with the broader goal of improving research consumers’ understanding and interpretation of research findings. Specifically, we discuss null hypothesis significance testing, describe what p values mean and how they are reported, describe some common misconceptions of p values, and provide two examples from the research literature to illustrate how p values are used in the field. Our take‐home message is that p values indicate how likely study results are to occur if the null hypothesis is true, and that p values should be cautiously interpreted. 相似文献
20.
Werner F. Helsen Joseph Baker Joerg Schorer Christina Steingröver Nick Wattie Janet L. Starkes 《High Ability Studies》2016,27(2):211-221
The relative age effect (RAE) has been demonstrated in many youth and professional sports. In this study, we hypothesized that there would also be a RAE among youth chess players who are typically involved in a complex cognitive task without significant physical requirements. While typical RAEs have been observed in adult chess players, in this paper we wanted to focus primarily on youth chess players. In addition, we also examined RAEs in both participation rates and performance levels in a national chess championship. Therefore, the RAE was examined in a complex cognitive task that has no significant physical requirements, more specifically among youth chess players. Data were analyzed (1) for all registered Belgian youth chess players over a 5-year period (2009–2013) and (2) for participants of the Belgian youth championship 2013. Results indicated an overall RAE among all Belgian youth chess players over the last 5 years. The likelihood of participation was significantly greater for players born in the first birth-date quartile (χ² = 10.21, p < .05; r = ?.77, p < .01; w = .07) and the likelihood of participation decreased when youth chess players were born in the last quartile of the year. These effects were most prominent in the under-8 and under-10 year olds. There also appeared to be a performance-related RAE. Kolmogorov–Smirnov tests (p < .05) showed that players born in the first months of the selection year were significantly more often in the top 10 players for each age level of the Belgian Youth Championship 2013. 相似文献