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排序方式: 共有75条查询结果,搜索用时 15 毫秒
1.
给出了L^*-逆半群上的最小可消幺半群同余的一个刻划.在此基础上,研究了L^*-逆半群的一个子类,即强L^*-逆半群,借助于半群上自然偏序方法,证明了半群S为强L^*-逆半群,当且仅当关于任意的x∈S,存在惟一x°∈H1^*,使得x≤x°. 相似文献
2.
刘长安 《西安工业学院学报》2001,21(2):181-184
幂等元是半群中的一个重要概念,有限半群一定存在幂等元,本文首先给出幂等元的推广,引入周期元的概念,然后给出一个周期元的特征定理,最后再通过它给出有限半群幂等元的特征定理。 相似文献
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The purpose of this paper is to show that a first-order adaptive regulator globally stabilizes a class of infinite-dimensional systems having no right half plane zeros. Knowledge of the spectrum of the model's high-frequency gain is not required. 相似文献
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Development of intelligent decision-making systems which operate in complex environments like an automated factory, needs effective procedures for combining evidence from a variety of sources. Currently there are many ad-hoc evidence combination formulae as well as those based on specific methodologies such as the Bayesian, likelihood, etc. However, the limitations of these approaches have been well documented. In this paper, we begin with the testable and desirable properties required in a special problem. These properties are termed as axioms. We then systematically develop various families of combination rules obeying subsets of these axioms. The existing combination formulae form a subset of the rules mentioned here. We discuss the appropriateness of the different families of combination formulae.Partially supported by the Office of Naval Research under the grant N00014-85K-0611 and NSF under the grant IST 8405052. 相似文献
7.
Pablo Irarrazaval Carlos Lizama Vicente Parot Carlos Sing-Long Cristian Tejos 《Computers & Mathematics with Applications》2011,62(3):1576-1590
The fractional Fourier transform (FrFT) is revisited in the framework of strongly continuous periodic semigroups to restate known results and to explore new properties of the FrFT. We then show how the FrFT can be used to reconstruct Magnetic Resonance (MR) images acquired under the presence of quadratic field inhomogeneity. Particularly, we prove that the order of the FrFT is a measure of the distortion in the reconstructed signal. Moreover, we give a dynamic interpretation to the order as time evolution of a function. We also introduce the notion of ρ-α space as an extension of the Fourier or k-space in MR, and we use it to study the distortions introduced in two common MR acquisition strategies. We formulate the reconstruction problem in the context of the FrFT and show how the semigroup theory allows us to find new reconstruction formulas for discrete sampled signals. Finally, the results are supplemented with numerical examples that show how it performs in a standard 1D MR signal reconstruction. 相似文献
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得到了生成元为闭算子的n次积分半群的表示定理,并根据积分半群的C半群的关系,进而得到了n次积分半群的谱映射定理。 相似文献
9.
揭示了无穷维线性反应扩散过程和偏微分方程这两种描述反应扩散现象的基本工具的关系,证明了无穷维线性反应扩散过程的大数定理,给出了无穷维线性反应扩散过程的极限状态.讨论了当无穷维线性反应扩散过程的无穷小算子中的参数随指标n变化时,反应扩散过程依概率收敛于一偏微分方程的解的条件,揭示了此偏微分方程的系数与过程的无穷小算子中的参数之间的关系. 相似文献
10.
把在群论中占有重要地位的同态基本定理和三个同构基本定理推广到幂等元唯一的扭半群中,建立了幂等元唯一的扭半群的同态基本定理和同构基本定理。 相似文献