基于AHP的教材出版质量综合评价

出版教材质量的综合评价是一个比较复杂的问题,它牵涉到六大指标体系和22个具体评价指标.利用层次分析法(Analytic Hierarchy Process,简称AHP)对教材出版质量进行综合评价,可以准确、全面地反映教材出版流程中各方面的质量要求,为评价教材出版质量建立科学、合理的方法.     

一类有理分式积分的解法

将求有理分式积分的传统待定常数法推广到待定函数法,给出有理分式积分中求部分分式的公式解法,此法可解决一类有理函数的积分问题．     

Simplifying Fractions

<正>Mini Lab Work with a partner.On grid paper,draw the two figures at the right.Both figures should be the same size.Shade 8 out of the 20 squares in one figure.Shade 2 out of the 5rectangles in the other.1.Write a fraction to describe each figure:     

A Symmetric Presentation for J 1

Abstract

We give a computer-free proof that the sporadic simple group J ₁ is a isomorphic to the progenitor 2*⁵ : A ₅ factorized over a single relation. Precisely, we prove that J ₁ is defined by the presentation ?x, y, t ∣ x ⁵ = y ³ = (xy)² = 1 = t ² = [y, t] = [y, t ^{x 3} ] = (xt)⁷?.     

Estimating with Fractions

<正>When am I ever going to use this?kites for a kite to have balance while flying,the left and right sides of the horizontal support must each be 2/3 as long as the bottom of the vertical support.Also,the top must be 1/3 as long as the bottom portion.     

Matrix Continued Fractions

A matrix continued fraction is defined and used for the approximation of a function known as a power series in 1/zwith matrix coefficientsp×q, or equivalently by a matrix of functions holomorphic at infinity. It is a generalization of P-fractions, and the sequence of convergents converges to the given function. These convergents have as denominators a matrix, the columns of which are orthogonal with respect to the linear matrix functional associated to . The case where the algorithm breaks off is characterized in terms of .     

Fractions and Percents

<正>WHEN am I ever going to use this?EDUCATION The table shows the results of a survey in which students were asked to choose methods that make learning new subjects more interesting.1.Shade a 10×10 grid that represents the number of students that chose each method.     

确定部分分式中待定系数的一种方法

有理真分式的分解,确定待定系数是关键.利用复变函数的积分和留数理论推导出4个确定待定系数的计算公式,适合于一切有理真分式的分解.     

Approximation by Simplest Fractions

In this paper, a number of problems concerning the uniform approximation of complex-valued continuous functions on compact subsets of the complex plane by simplest fractions of the form are considered. In particular, it is shown that the best approximation of a function by the fractions is of the same order of vanishing as the best approximations by polynomials of degree .     

From Fractions to Rational Numbers of Arithmetic: A Reorganization Hypothesis

Nathan and Arthur, 2 children in a 3-year teaching experiment on children's construction of the rational numbers of arithmetic (RNA), developed their operations for multiplying, dividing, and simplifying fractions over the last 2 years (Grades 4 and 5) of the experiment. The 2 children worked in the context of specially developed computer microworlds with a teacher/researcher for approximately 45 min a week for 50 weeks over the 2-year period. The children's construction of multiplicative fractional schemes was investigated in a retrospective analysis of each of the 50 videotaped teaching episodes. Four distinct modifications of the children's fractional schemes were discerned that contributed to their construction of the RNA. The investigation suggested that the operations and unit types associated with the children's whole-number sequences did not interfere with the reorganization of their fractional schemes but rather contributed to those schemes. The reorganization involved an integration of their whole-number knowledge with their fractional schemes whereby whole-number division was regarded as the same as multiplication by the reciprocal fraction.     

连分式的不等式

本文研究二元连分式G(m,λ)的单调性质,得到一些新的连分式不等式．     

From Fractions to Rational Numbers of Arithmetic: A Reorganization Hypothesis

Nathan and Arthur, 2 children in a 3-year teaching experiment on children's construction of the rational numbers of arithmetic (RNA), developed their operations for multiplying, dividing, and simplifying fractions over the last 2 years (Grades 4 and 5) of the experiment. The 2 children worked in the context of specially developed computer microworlds with a teacher/researcher for approximately 45 min a week for 50 weeks over the 2-year period. The children's construction of multiplicative fractional schemes was investigated in a retrospective analysis of each of the 50 videotaped teaching episodes. Four distinct modifications of the children's fractional schemes were discerned that contributed to their construction of the RNA. The investigation suggested that the operations and unit types associated with the children's whole-number sequences did not interfere with the reorganization of their fractional schemes but rather contributed to those schemes. The reorganization involved an integration of their whole-number knowledge with their fractional schemes whereby whole-number division was regarded as the same as multiplication by the reciprocal fraction.     

The Correlations of Farey Fractions

It is proved that all correlations of the sequence of Fareyfractions exist and explicit formulas are provided for the correlationmeasures.     

Interpolational Integral Continued Fractions

For nonlinear functionals defined on the space of piecewise-continuous functions, we construct an interpolational integral continued fraction on continual piecewise-continuous nodes and establish conditions for the existence and uniqueness of interpolants of this type.