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1.
设F2vq是Fq上的2v维辛空间,v是一个正整数。可知F2vq中满足0≤m1≤v的所有(m1,0)型全迷向子空间按子空间的包含关系构成秩为v的有限偏序集,由此可以证明该偏序集是一致偏序的。  相似文献   

2.
环上的模是Abel群的一种推广,也是数域上向量空间的推广在向量空间定义中,若将数域的条件改成一般的环R,就得到模这个代数体系定义:设R是环一个(左)R模是指一个加法Abel群M与一个函数R×M→M,(以ra表示(r,a)的象)使得对于所有的r,s∈R和a,b∈M满足:4)当R有单位无1时,就应该有la=a.对于每个a∈M则说M是一个(左)R──模。数域F上的向量空间V是一个F──模,它是模的特殊情形因此模的所性质向量空间都具有,而向时空间的性质则不能完全推广到模上。本文仅以数域上有限维向量空间中线性关系的几个熟知的结论与有限…  相似文献   

3.
利用辛空间上全迷向子空间的性质构作了Pooling设计的一种重要的数学模型d—disjunct矩阵并计算了它的Hamming距离,分析了它的检纠错能力,对d的范围作了估算。  相似文献   

4.
文章摘录“空间向量的数量积运算”这一课中一些重要的教学片段进行教学反思,主要包含理解空间向量投影与投影向量、定义并画出空间向量向向量的投影、利用投影证明空间向量数量积的分配律等.  相似文献   

5.
利用辛空间上全迷向子空间的性质构作了Pooling设计的一种重要的数学模型d-disjunct矩阵并计算了它的Hamming距离,分析了它的检纠错能力,对d的范围作了估算。  相似文献   

6.
书[1]中的欧氏空间部分,有这样一道习题:“设σ是欧氏空间 V 到自身的一个满射,且对于任意ζ∈V,都有|σ(ζ)|=|ζ|.证明,σ是 V 的一个线性变换,因而是正交变换.”笔者认为题目的条件是不够的。例如,实数域 R 对于实数的加法和乘法,作成它自身上的一个向量空间.如果在其中还定义了内积任取 x,y∈R,规定  相似文献   

7.
向量是一种重要的数学概念,向量的有关知识在数学、物理中有着广泛的应用.高中数学新教材立体几何部分引入了空间向量,利用空间向量的基本定理可以解决有关平行问题的证明,利用向量的数量积可以解决有关垂直的证明,和有关距离、角度的计算,向量法在处理这些问题时有着明显的优势.向  相似文献   

8.
在Mbius几何中,Blaschke张量是一个很重要的Mbius不变量.对Blaschke张量迷向的超曲面进行分类是Mbius几何中的一个重要问题.在本文中,我们研究了R3中Blaschke张量迷向旋转曲面,得到了Blaschke张量迷向曲面的微分方程.最后,利用微分方程的解找到了一类Blaschke张量迷向旋转曲面。  相似文献   

9.
林磊 《数学教学》2023,(8):32-34
<正>直线与平面,是高中数学教材中的重要内容.本文尝试从向量空间的角度来重新审视这两个对象,并讨论它们的异同.1线性流形我们先从线性流形这个概念说起.为了简单起见,我们下文考虑的向量空间都是指实数域上的向量空间.定义[1]设Y是向量空间V的非空子集.如果Y中任意两个向量α、β∈Y所确定的集合:L={kα+lβ|k+l=1,k、l∈R}都含于Y内,则称Y是V中的线性流形.  相似文献   

10.
<正>用向量法解决立体几何问题,是空间向量的一个具体应用,体现了向量的工具性,这种方法可把复杂的推理证明转化为空间向量的运算,降低了空间想象演绎推理的难度,体现了由"形"转"数"的转化思想。本文就利用空间向量证明"平行"与"垂直"这一视角进行例析。  相似文献   

11.
利用广义Frenet公式,研究曲面到复Grassmann流形调和映照的迷向性质,给出了调和映照迷向的新的充分条件.对于非迷向的调和映照,得到了与其迷向阶有关的曲率Pinching性质.  相似文献   

12.
本文证明了1)对MZR环来说Jacobson根与Z根在弱意义之下不是一致的。2)对MZR环来说,若R的同态象也是MZR环,则R的Jacobson根与Bear根在强意义之下一致。  相似文献   

13.
在保持问题的研究中,关于不周矩阵模之间的研究是一个热点问题,而上三角块矩阵模到全矩阵模的结果并不多.设R是一个至少含有3个单位的主理想整环,Mmn(R)与Tmn(R)分别是R上全矩阵模及上三角矩阵模。在一定条件下刻画了R上的上三角块矩阵模到全矩阵模的保逆线性算子的具体形式.  相似文献   

14.
修改文献[6]中定理的条件,获得了两个判别唯一分解整环R上偶次多项式不可约的充分性定理,并得到了两个新的推论.  相似文献   

15.
研究比较了CuSO_4、NdCl_3助染时酸性大红GR、酸性大红3R、酸性橙Ⅱ对羊毛的染色反应。对酸性橙Ⅱ、CuSO_4、NdCl_4助染提高了色牢度,对酸性大红GR、酸性大红3R,色牢度则没有提高,CuSO_4染样时样品鲜艳度降低,NdCl_3则使鲜艳度增加。  相似文献   

16.
Applying Herzberg's motivation-hygiene theory, we studied the determinants of student satisfaction in using R in a Decision Support Systems course that previously used Excel to teach Data Mining and Business Analytics (DMBA). The course is a degree requirement, and prior programming experience is not a prerequisite. We hypothesized that motivators for student satisfaction with R would include: (i) an intrinsic interest in DMBA, (ii) a perception that R is a better tool than Excel for DMBA, and (iii) a favorable view of R as a facilitator of career advancement. We postulated that the hygiene factor was the compulsory course requirement to learn R, a new and challenging language to students in this study. Data from 120 students, analyzed using Principal Component Analysis (PCA) and Generalized Additive Modeling (GAM), showed that motivators were positively related to satisfaction while hygiene factors were neutral. Students showed willingness to take on a harder challenge in exchange for intrinsic and future career benefits. The model can be useful in curriculum design or career advisement to increase student satisfaction in learning new software skills while meeting market demands.  相似文献   

17.
研发服务业的发展对于创新体系的构建和完善具有重要意义,是经济增长的重要源泉之一。通过建立面板数据模型进行实证研究表明:我国东、中、西部地区大部分省份研发经费和研发人员的投入对经济增长的影响不显著,科技成果对经济增长的影响显著;海西地区的研发经费的投入对经济增长的影响在5%的置信水平下显著为正,但其研发人员的投入对经济增长的影响不显著,海西地区江西的科技成果对经济增长的影响在1%的置信水平下显著为正,而福建的科技成果对经济增长的影响不显著。  相似文献   

18.
Recent research has suggested that operant responses can be weakened when they are tested in new contexts. The present experiment was therefore designed to test whether animals can learn a context–(R–O) relation. Rats were given training sessions in context A, in which one response (R1; lever pressing or chain pulling) produced one outcome (O1) and another response (R2; chain pulling or lever pressing) produced another outcome (O2) on variable interval reinforcement schedules. These sessions were intermixed with training in context B, where R1 now produced O2 and R2 produced O1. Given the arrangement, it was possible for the animal to learn two distinct R–O associations in each specific context. To test for them, rats were then given aversion conditioning with O2 by pairing its presentation with lithium-chloride-induced illness. Following the aversion conditioning, the rats were given an extinction test with both R1 and R2 available in each context. During testing, rats showed a selective suppression in each context of the response that had been paired with the reinforcer subsequently associated with illness. Rats could not have performed this way without knowledge of the R–O associations in effect in each specific context, lending support to the hypothesis that rats learn context–(R–O) associations. However, despite a complete aversion to O2, responding was not completely suppressed, leaving the possibility open that rats form context–R associations in addition to context–(R–O) associations.  相似文献   

19.
弱M-Armendariz环(英文)   总被引:1,自引:0,他引:1  
对于幺半群M,引入了弱M-Armendariz环的概念,此概念是M-Armendariz环和弱Armendariz环的共同推广.研究了这类环的性质,并且证明了:R是弱M-Armendariz环当且仅当对任意的n,R的n阶上三角矩阵环Tn(R)是弱M-Armendariz环:如果I是环R的半交换理想,使得R/I是弱M-Armendariz环,则R是弱M-Armendariz环,其中M是严格全序幺半群;如果R是半交换的M-Armendariz环,则尺是弱MxN-Armendariz环,其中N是严格全序幺半群;有限生成Abelian群G是torsion-free的当且仅当存在一个环尺,使得R是弱G-Armendariz环.  相似文献   

20.
In resurgence, an extinguished instrumental behavior (R1) recovers when a behavior that has replaced it (R2) is also extinguished. The phenomenon may be relevant to understanding relapse that can occur after the termination of “contingency management” treatments, in which an unwanted behavior (e.g., substance abuse) is reduced by reinforcing an alternative behavior. When reinforcement is discontinued, the unwanted behavior might resurge. However, unlike most resurgence experiments, contingency management treatments also introduce a negative contingency, in which reinforcers are not delivered unless the client has abstained from the unwanted behavior. In two experiments with rats, we therefore examined the effects of adding a negative “abstinence” contingency to the resurgence design. During response elimination, R2 was not reinforced unless R1 had not been emitted for a minimum period of time (45, 90, or 135 s). In both experiments, adding such a contingency to simple R1 extinction reduced, but did not eliminate, resurgence. In Experiment 2, we found the same effect in a yoked group that could earn reinforcers for R2 at the same points in time as the negative-contingency group, but without the requirement to abstain from R1. Thus, the negative contingency per se did not contribute to the reduction in resurgence. These results suggest that the contingency reduced resurgence by making reinforcers more difficult to earn and more widely spaced in time. This could have allowed the animal to learn that R1 was extinguished in the “context” of infrequent reinforcement—a context more like that of resurgence testing. The results are thus consistent with a contextual (renewal) account of resurgence. The method might provide a better model of relapse after termination of a contingency management treatment.  相似文献   

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