中国共产党形势政策观的基本价值取向初探

党的形势政策观的价值取向,就是我党在分析形势进行政策活动时所指向的一定价值目标的活动过程。中国共产党在长期革命和建设实践中,总是以解放和发展生产力、代表人民群众的根本利益以及维护工人阶级的统治地位和阶级利益作为党的基本价值取向,它们同时也是党在分析形势进行政策活动过程中的基本价值取向。     

整代数体函数的亏量

研究了一类具有v＋1个亏值的v-值整代数体函数，利用整代数体函数的级与特征函数及其亏值亏量的定义和性质，借助线性无关性、克兰姆法则、Jensen公式及对数导数定理进行分析推理，得出这类整代数体函数的所有亏量之和不超过v．     

伦理规范与道德价值

伦理学力图从生活的层面来揭示生活的目的、生活的价值和生活的意义。因此，伦理学不是一种伦理观点，不是从伦理的角度去看问题，而要从道德的角度去看问题，从生活中揭示价值。人的概念必须从人道目的论来约定和定义。人需要按照人性的规律去生活，而不是按照规范去生活，只有这样才能彰显人的价值和生活意义。     

李大钊社会主义思想的当代价值

李大钊是为中国选择社会主义方向，开辟中国革命新时代的伟大先驱。他在短暂的革命历程中所构建的社会主义思想在今天依然有着十分重要的现实价值。他对社会主义的坚定信念和执着追求并为之而献身的牺牲精神，他认识和研究马克思社会主义理论的科学态度，他在理论与实践的结合上对中国革命规律的艰辛探索等，对新时期人们进一步深化对社会主义建设规律的认识，促进社会主义社会的发展与进步都具有长期的指导意义。     

《马端肃公诗集》刊刻、流传及价值初考

《马端肃公诗集》是明代中期著名政治家马文升的诗集，白寿彝先生在其主编的《回族人物志》中认为该诗集已经佚失。其实，《马端肃公诗集》自明代万历十八年（1590）刊刻后就一直在流传，并于20世纪初收藏在南京图书馆。笔者试对《马端肃公诗集》的刊刻、流传情况及价值作一考论。     

Defining the linear portion of a sigmoid‐shaped curve: bend points

Formulae are provided that define the ‘bend points’, the beginning and end of the essentially linear dose–response region, for the four‐parameter logistic model. The formulae are expressed in both response and dose units. The derivation of the formulae is shown in order to illustrate the general nature of the methodology. Examples are given that describe how the formulae may be used while planning and conducting bioassays. Copyright © 2003 John Wiley & Sons, Ltd.     

Some quantitative concepts of value and utility from a utilitarian point of view

This paper clarifies and interprets some basic quantitative concepts of value, utility and utility function from a utilitarian point of view. First, I discuss the question as to whether value is objective or subjective. I hold that value is subjective and statistical in nature (although from the various subjective values of a certain object a norm can usually be obtained). Second, I emphasize the distinction between use value and exchange value in relation to utility. Third, I propose a law of diminishing incremental interest, which refers to the incremental (marginal) utility of money. Fourth, I identify the utility of money with the von Neumann-Morgenstern utility. Fifth, I question the necessity of the usual normalization of utility functions and the restricted linear transformation (and the consequent concept of strategic equivalence). Sixth, I discuss in detail the terminal values and utilities of a utility function from a philosophical rather than mathematical point of view, particularly the boundedness of a utility function and the magnitudes of V ₀ and U ₀. Finally, I conclude that, in order to be able to have interpersonal comparisons of utility, utility should have the same dimension as value rather than no dimension, and the normalization problem should be reconsidered in the light of terminal values and utilities.     

一类多项式零点问题的证明

多项式零点问题的证明,已见于若干学报或教材．其方法可谓多种多样,但显复杂．本文先将Rolle定理加以推广,称之为“广义Rolle定理”,然后借助于该定理,证明一类著名的多项式零点值问题．     

A simple,automatic and adaptive bivariate density estimator based on conditional densities

The standard approach to non-parametric bivariate density estimation is to use a kernel density estimator. Practical performance of this estimator is hindered by the fact that the estimator is not adaptive (in the sense that the level of smoothing is not sensitive to local properties of the density). In this paper a simple, automatic and adaptive bivariate density estimator is proposed based on the estimation of marginal and conditional densities. Asymptotic properties of the estimator are examined, and guidance to practical application of the method is given. Application to two examples illustrates the usefulness of the estimator as an exploratory tool, particularly in situations where the local behaviour of the density varies widely. The proposed estimator is also appropriate for use as a pilot estimate for an adaptive kernel estimate, since it is relatively inexpensive to calculate.     

On the shrinkage of local linear curve estimators

Local linear curve estimators are typically constructed using a compactly supported kernel, which minimizes edge effects and (in the case of the Epanechnikov kernel) optimizes asymptotic performance in a mean square sense. The use of compactly supported kernels can produce numerical problems, however. A common remedy is ridging, which may be viewed as shrinkage of the local linear estimator towards the origin. In this paper we propose a general form of shrinkage, and suggest that, in practice, shrinkage be towards a proper curve estimator. For the latter we propose a local linear estimator based on an infinitely supported kernel. This approach is resistant against selection of too large a shrinkage parameter, which can impair performance when shrinkage is towards the origin. It also removes problems of numerical instability resulting from using a compactly supported kernel, and enjoys very good mean squared error properties.