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本文通过概述高等数学和工程数学的相关内容,阐述了二者在实际应用中的重要性,并通过简单的例子来说明二者的区别与联系,进一步证明了二者存在的意义。 相似文献
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The variation of effective stress ratio of stratfied soil with semi-pervious boundaries and under cyclic loading was analyzed on the basis of Terzaghi's one-dimensional consolidation assumptions. A solution by Laplace Transform was obtained for the case when the soil was under time-varied loading. With numerical inversion of Laplace Transform, some useful results were obtained for several kinds of commonly encountered loadings. The results can be meaningful in engineering practice. 相似文献
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张天瑜 《江苏广播电视大学学报》2006,17(6):71-74
通过建立RLC阻尼振荡电路的系统模型,得到三种不同的阻尼振荡类型及其通解的形式,利用M atlab程序对后两类阻尼振荡电路的时域和频域进行编程描述,对此两者仿真波形,证实了两种方法的有效性,同时指出了第5条临界阻尼非振荡波形失真的原因。 相似文献
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ZHANG Chun-jie QIAN Rui-rui 《浙江大学学报(A卷英文版)》2007,8(12):2037-2040
In this paper, we shall prove that the Marcinkiewicz integral operator #n, when its kernel Ω satisfies the L^1-Dini condition, is bounded on the Triehel-Lizorkin spaces. It is well known that the Triehel-Lizorkin spaces are generalizations of many familiar spaces such as the Lehesgue spaces and the Soholev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triehel-Lizorkin space which makes our approach more clear. 相似文献
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In this paper, we shall prove that the Marcinkiewicz integral operator μ, when its kernel satisfies the L1-Dini condition, is bounded on the Triebel-Lizorkin spaces. It is well known that the Triebel-Lizorkin spaces are generalizations of many familiar spaces such as the Lebesgue spaces and the Sobolev spaces. Therefore, our result extends many known theorems on the Marcinkiewicz integral operator. Our method is to regard the Marcinkiewicz integral operator as a vector valued singular integral. We also use another characterization of the Triebel-Lizorkin space which makes our approach more clear. 相似文献
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Structural equation modeling is a common multivariate technique for the assessment of the interrelationships among latent variables. Structural equation models have been extensively applied to behavioral, medical, and social sciences. Basic structural equation models consist of a measurement equation for characterizing latent variables through multiple observed variables and a mean regression-type structural equation for investigating how explanatory latent variables influence outcomes of interest. However, the conventional structural equation does not provide a comprehensive analysis of the relationship between latent variables. In this article, we introduce the quantile regression method into structural equation models to assess the conditional quantile of the outcome latent variable given the explanatory latent variables and covariates. The estimation is conducted in a Bayesian framework with Markov Chain Monte Carlo algorithm. The posterior inference is performed with the help of asymmetric Laplace distribution. A simulation shows that the proposed method performs satisfactorily. An application to a study of chronic kidney disease is presented. 相似文献
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华珏 《河北软件职业技术学院学报》2007,9(2):71-74
在电路分析中经常会遇到一些阻尼振荡电路,由于这类电路在高压断路器开断能力测试、受控热核研究等许多重要的工程领域有着极为广泛的应用,因此有必要对此类电路的特性加以讨论,研究.本文首先介绍了建立数学模型的方法,然后利用了时域中传统的微分方程法和频域中经典的拉普拉斯变换法对电路进行分析.最后借助于MATLAB软件来对一类RLC电路的过渡过程进行仿真分析,并对其产生的误差作出了一定的解释. 相似文献
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多数工程数学物理方程教科书均以三维拉普拉斯方程为背景来建立格林函数法,而对于二维拉普拉斯方程的格林函数法多融合在习题中.文章对平面问题上的格林函数法进行了初步讨论,制定了通俗易懂的教学方案,使学生顺利掌握该种方法,达到教学目的. 相似文献