Solving the State Equation of a System by Walsh Function

In this paper, We deal with the solution of the state equation of a system by the Walsh function, that is, we shall find the solution of a matrix differential equation by the Walsh function, and introduce a solution of the higher-order matrix differential equation. First, after a certain transform, we turn the higher-order matrix differential equation into a state equation. Then we find the solution of the state equation by the Walsh function. Finally after a certain transform, we obtain a solution of the higher-order matrix differential equation.     

On the Circulant and Aperiodic Models of Deconvolution

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无私利性规范的内涵、合理性和适用范围

本文对默顿的“无私利性”规范做新的解读，力图消除翻译上和理解上的错误；归纳了批评“无私利性”规范合理性的四种类型，并针对性地提出反批评和辩护；界定了“无私利性”规范的适用范围。     

西裤后裆缝斜度定量分析

本文结合人体体型,从适身型角度,利用数学方法分析探求后裆缝斜度的确定问题。     

Exponential smoothing: Behavior of the ex-post sum of squares near 0 and 1

When using simple exponential smoothing on a given time series the nature of the relationship between the optimal smoothing constant and the autocorrelation structure of the series remains an unresolved question. Although numerical search routines can easily be used to find optimal values of the smoothing constant, they offer little insight into the nature of the relationship between the estimated smoothing constant and the structure of the underlying time series. We suggest that renewed investigations of the ex-post sum of squares function may prove helpful in this pursuit. Results are presented that illustrate how the optimal smoothing constant depends upon the value used to initialize the smoothing and upon the sample autocorrelation coefficients of the observed series. These results are based on a new formula for the derivative of the ex-post sum of squares function. In particular, the derivative is examined near 0 and 1, where great simplifications occur in its form, thereby facilitating investigations near these points. A necessary and sufficient condition is stated for when the ex-post sum of squares must have a positive derivative at 0 and the autocorrelation coefficients of the differenced series are shown to affect the sign of the derivative near 1. Based on these results, a general algorithm is presented as an alternative to grid search routines for minimizing the ex-post sum of squares.     

关于多元Gauss—Weierstrass算子的一致逼近

本文利用一类 K—泛函和光滑模的等价性给出了二元 Gauss—weierstrass 算子在一致逼近意义的正定理、逆空理和特征性。     

胸部创伤324例分析

对 32 4例胸外伤患者经抢救治疗后 ,除 1例锁骨下静脉吻合术患者术后死于急性肾功能衰竭外 ,其余均痊愈出院 .并对胸外伤患者抢救治疗原则进行了分析     

一种最短路径的演示算法

根据最短径问题的理论 ,编制了一个最短路径问题的演示算法 ,文中给出了合理的存储结构及主要算法 ,本算法与教材中的算法不同 ,更好地体现了迪杰斯特拉思想     

物理教学中物理思想的培养

本文讨论了物理思想的概念和特征及其在素质教育中的重要作用，并提出了在物理教学中培养大学生的物理思想的几点想法。     

单元网络教学法在生物化学教学中的应用

在生物化学教学中采用单元网络教学法 ,构建了生物化学课程单元网络图 ,并为了配合该教学法 ,编写了《生物化学学习指导》一书 .经过几年的教学实践 ,取得了良好的教学效果