共查询到19条相似文献,搜索用时 78 毫秒
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姚喜妍 《数学的实践与认识》2007,37(16):209-213
引入了Hilbert空间H中广义框架的非交性、强非交性,讨论了它们的一些性质;并且引入了保非交算子、强保非交算子,证明了酉算子、可逆算子是强保非交算子,下有界算子、余等距算子是保非交算子. 相似文献
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曲面求交是CAD/CAM领域中最重要也最为复杂的问题之一,它是曲面造型中各种几何处理的关键。本文就已有的任意曲面求交算法进行了系统地分析与评价,指出了目前所存在的问题。 相似文献
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剩余格与正则剩余格的特征定理 总被引:53,自引:2,他引:53
本文进一步研究了具有广泛应用的一类模糊逻辑代数系统——剩余格,并引入了正则剩余格的概念,对剩余格与正则剩余格的定义进行了讨论,给出了剩余格与正则剩余格的特征定理,其中包含剩余格与正则剩余格的等式特征,从而这两个格类都构成簇.本文还讨论了剩余格与正则剩余格公理系统的独立性,以及它们与相近代数结构的关系. 相似文献
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首先,给出了剩余交半格的概念,通过对其性质的研究,证明了剩余交半格中的所有正则元构成的集合是交半格,并举例说明了剩余交半格中的所有正则元构成的集合不是剩余交半格;其次,证明了满足剩余交换律:x?(x→y)=y?(y→x)的正则剩余交半格是Wajsberg代数;最后,由剩余交换律:x?(x→y)=y?(y→x)得出了L是满足剩余交换律的MTL代数当且仅当L是BL代数。 相似文献
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王军涛 《高校应用数学学报(A辑)》2021,36(1):111-126
引入了相似剩余格的概念,讨论了剩余格上相似算子和等价算子的关系,并得到了真值剩余格和相似剩余格相互转化的方法.其次,研究了相似剩余格上的相似滤子,利用相似滤子刻画了可表示的相似剩余格.最后,引入了相似剩余格对应的逻辑系统,证明了其完备性定理,并得到了其成为半线性逻辑的条件. 相似文献
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本文基于一般的聚合算子,提出一类新的模糊蕴涵,称之为广义剩余蕴涵.广义剩余蕴涵是模糊逻辑中十分重要的剩余蕴涵的自然推广.我们进一步讨论这类蕴涵的基本性质,并且探究广义剩余蕴涵与由模糊合取生成的蕴涵之间的关系,并证明这两类蕴涵为不同的蕴涵.这些结果在模糊逻辑与模糊决策之间建立了新的联系. 相似文献
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Masahiro Hachimori 《Journal of Combinatorial Theory, Series A》2011,118(5):1608-1623
For a property P of simplicial complexes, a simplicial complex Γ is an obstruction to P if Γ itself does not satisfy P but all of its proper restrictions satisfy P. In this paper, we determine all obstructions to shellability of dimension ?2, refining the previous work by Wachs. As a consequence we obtain that the set of obstructions to shellability, that to partitionability and that to sequential Cohen-Macaulayness all coincide for dimensions ?2. We also show that these three sets of obstructions coincide in the class of flag complexes. These results show that the three properties, hereditary-shellability, hereditary-partitionability, and hereditary-sequential Cohen-Macaulayness are equivalent for these classes. 相似文献
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根据文[1]中得到的Ky Fan型重叠定理给出一般化凸空间上的相交定理.作为它的应用讨论一个不等式系的解的存在性问题.我们的结论改进和一般化了相应文献中的结果. 相似文献
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《代数通讯》2013,41(8):3713-3734
Abstract Let (R, 𝔪) be a Noetherian local ring and let Ibe an R-ideal. Inspired by the work of Hübl and Huneke, we look for conditions that guarantee the Cohen-Macaulayness of the special fiber ring ? = ?/𝔪? of I, where ? denotes the Rees algebra of I. Our key idea is to require ‘good’ intersection properties as well as ‘few’ homogeneous generating relations in low degrees. In particular, if Iis a strongly Cohen-Macaulay R-ideal with G ?and the expected reduction number, we conclude that ? is always Cohen-Macaulay. We also obtain a characterization of the Cohen-Macaulayness of ?/K? for any 𝔪-primary ideal K. This result recovers a well-known criterion of Valabrega and Valla whenever K = I. Furthermore, we study the relationship between the Cohen-Macaulay property of the special fiber ring ? and the Cohen-Macaulay property of the Rees algebra ? and the associated graded ring 𝒢 of I. Finally, we focus on the integral closedness of 𝔪I. The latter question is motivated by the theory of evolutions. 相似文献
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Let R be a homogeneous ring over an infinite field, IR a homogeneous ideal, and
I an ideal generated by s forms of degrees d
1,...,d
s
so that codim(
:I)s. We give broad conditions for when the Hilbert function of R/
or of R/(
:I) is determined by I and the degrees d
1,...,d
s
. These conditions are expressed in terms of residual intersections of I, culminating in the notion of residually S
2 ideals. We prove that the residually S
2 property is implied by the vanishing of certain Ext modules and deduce that generic projections tend to produce ideals with this property. 相似文献
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根据黄筑平等人提出的基于“3个构形”的表/界面能理论,研究了热弹性纳米复合材料的有效性质,重点讨论了残余界面应力对纳米尺度夹杂填充的热弹性复合材料有效热膨胀系数的影响.首先,给出了由第一类Piola-Kirchhoff界面应力表示的热弹性界面本构关系和Lagrange描述下的Young-Laplace方程;其次,采用Hashin复合球作为代表性体积单元,推导了在参考构形下复合球内部由残余界面应力诱导的残余弹性场,并进一步计算了从参考构形到当前构形的变形场;最后,基于以上计算得到了热弹性复合材料有效体积模量和有效热膨胀系数的解析表达式.研究表明,残余表/界面应力对复合材料的热膨胀系数有重要影响. 相似文献
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系统signature是分析系统可靠性的一个强有力的工具。本文研究了多状态系统的动态signature。Signature概念被拓展到多维的情形,并将其应用于两状态元件下多态关联系统的分析,得到系统在每一状态下的联合生存函数的表达式,探究了系统在时刻的动态signature,为处于工作状态的多状态系统在时刻t接受检查,发现其处于l(t)状态并且恰好已发生了q(t)次元件失效,分别给出了两状态元件多态关联系统动态signature及其剩余寿命的表达式。 相似文献
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Degradation of the residual strength of a glass-fiber-reinforced polyester composite of a lay-up typical of the wind rotor
blade material is studied at low-cycle fatigue. A gradual reduction of the residual strength is observed as expected for GRP,
accompanied by an increasing scatter of strength. The residual strength model based on the strength-life equal rank assumption
yields an accurate approximation of experimental data. The strength reduction at a stress level corresponding to high-cycle
fatigue (N>10
6 cycles) appears to correlate well with the test results at higher stress levels, which indicates that the strength degradation
at the design stress level can be evaluated using low-cycle tests. Assuming that the parameters of the strength degradation
model do not depend on the applied stress level, the residual strength data obtained in low stress level tests of comparatively
short duration can be used to estimate the average fatigue life at the same stress thus reducing the total test time.
Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 5, pp. 595–604, September–October, 1999. 相似文献