共查询到20条相似文献，搜索用时 93 毫秒
1.
智婕 《赤峰学院学报(自然科学版)》2014,(7):10-11
不等式是高等数学中非常重要的课题之一,在高等数学中占有极其重要的地位.因此,对不等式作一些必要的研究具有重大的意义,同时,也为我们如何证明不等式问题提供了必要的理论指导.本文介绍了利用均值不等式、柯西不等式、赫尔德不等式、詹森不等式等著名不等式,拓展证明不等式不同思路,使得不等式有更好的应用,提高学生灵活运用数学知识的能力. 相似文献
2.
3.
褚人统 《中学数学教学参考》2008,(11)
柯西不等式与排序不等式是新课程中的新增内容,是不等式内容的一个重要部分,是一种基本不等式形式,有其独特的外形和广泛的使用范围.柯西不等式是数学的重要工具,也是数学学习的主要对象之一.在本单元,学生将通过不等式基本性质,基本不等定理来推导柯西不等式、排序不等式,并会初步运用这两个不等式定理进行计算、证明一些不等式的结论、 相似文献
4.
在中学数学教学内容中,解不等式是一个重要教学内容。其主要类型有:一元一次不等式,一元二次不等式,高次不等式,分式不等式,绝对值不等式,无理不等式。下面我就不等式求解的方法作一些探讨:一、一元一次不等式解这种不等式最终归结为解最基本不等式ax>b(或ax相似文献
5.
由于不等式应用的极度广泛性,所以不等式成为中学数学的重要内容之一,而解不等式则贯穿在数学解题的始终,所以解不等式能力的强弱,基本决定了学生数学成绩的优劣.因为一切解不等式的问题最后都要化成一元一次、一元二次不等式(组),分式不等式或绝对值不等式,所以目前高中教材中对以上3种不等式的解法要求较高.下面我们就归纳出它们的解法,使同学们能够快速而又准确地解出不等式. 相似文献
6.
解不等式是高中数学联赛一试中的常见问题,且考查的主要内容有一元二次不等式、高次不等式、分式不等式、含绝对值不等式、指数不等式和对数不等式的解法．本文通过一些实例的求解,介绍解不等式的常见题型及其求解方法． 相似文献
7.
8.
白淑君 《陕西理工学院学报(社会科学版)》1994,(Z2)
1943年,Pedoe发表了被他称为“第一个涉及两个三角形”的不等式,自此以后,几何不等式的研究更加活跃.近年,国内发表了若干很有意义的几何不等式,如高灵不等式、安振平不等式等.受这些结果的启发,本文给出4个涉及三角形边长及其外接圆半径的不等式,并说明它们的三角本质. 相似文献
9.
本文对求和平等工及积分不等式作了系统研究，详细阐述了求和不等式与积分不等式的关系，提出了建立和证明积分不等式新的方法。 相似文献
10.
面积法,作为一个古老的方法,是强有力的解题工具.本文结合具体实例,谈谈面积法在三角不等式、函数不等式、代数不等式和数列不等式证明中的应用. 相似文献
11.
12.
Ｂｏｒｅｌ—Ｃａｎｔｅｌｌｉ引理在概率论中有广泛的应用，本文应用它证明了概率论中的两个重要结论。 相似文献
13.
用初等简洁的方法证明了一个比已有结果更加广泛的分析不等式:设k,n∈N,μ>0,xi>0,i=1,…,n,且∑ni=1xi=λ,则当k≤n-μ+1时有,Ekλx1-μ,…,λxn-μ≥nk(n-μ)k,等号成立当且仅当x1=…=xn=λn. 相似文献
14.
15.
将Minkowski不等式和Ky Fan不等式作了进一步的拓广，同时修正了[5]的错误。 相似文献
16.
教育不平等与收入分配差距:中国的实证分析 总被引：1，自引：0，他引：1
Based on the endogenous growth theory, this paper uses the Gini coefficient to measure educational inequality and studies
the empirical relationship between educational inequality and income inequality through a simultaneous equation model. The
results show that: (1) Income inequality leads to educational inequality while the reduction of educational equality does
not contribute to the decrease of income inequality, and there is no simple casual effect between them. However education
expansion is beneficial to reduce educational inequality and income inequality. (2) Education relates to income inequality
through the human capital transmission mechanism, but this mechanism does not automatically translate into a virtuous cycle
of “educational equality↔income equality”. (3) In the long run, the reduction of educational inequality does not reduce income
inequality, but income inequality has a negative instant-impact on educational equality. (4) At present, the level of educational
investment and urbanization do not effectively promote educational equality. In addition, the robustness of the model used
in this paper has been partly proved.
__________
Translated from Guanli Shijie 管理世界 (Management World), 2008, (1): 38–47 相似文献
17.
本文根据住户调查数据在收入函数的基础上讨论了1995年、2002年和2007年的城镇居民收入差距特征及收入差距变动(基尼系数上升)的影响因素。本文的研究表明,城镇居民收入差距表现出上升趋势,地区因素和受教育程度是收入差距扩大的重要解释因素,就业状况、职业和行业特征则对两个时期的收入差距变动具有不同的影响。 相似文献
18.
This paper explores the quantitative relationships between average levels of learning achievement across countries, changes in average levels of learning achievement, the inequality of distribution of achievement (akin to income or wealth inequality in general development analysis), and the proportion of students learning at or below an absolute minimum (akin to poverty in general development analysis). The paper uses a variety of data from cross-national and national assessments: aggregate data, micro (student-level) data, school-level data, and time-series data. The paper shows how various factors such as gender or wealth impact learning levels, but also shows that ‘systems-related’ inequality, not directly related to such factors, is typically much larger than inequality associated with any of those factors. The paper shows that countries progress from very low average levels of achievement to middle levels more by reducing the percentage of students with very low scores (that is, by paying attention to the ‘bulging’ left-hand tail of the distribution) than by increasing the percentage of high performing students. The availability of micro data from a particular case allows exploration of the relationship between inequality measures and measures of the percentage of students below a low level of achievement and shows that, at least in that case, the reduction in inequality that accompanies improvements in the average levels takes place mostly through a reduction in the percentage below a low level. Unlike in the case of income, where vast reductions in income poverty seem possible without reducing income inequality, the evidence presented here suggests that this typically does not happen with learning levels: inequality reduction, reductions in percentages below a low level, and improvements in the averages are all empirically connected. More work is needed to show whether that connection is also causal. 相似文献
19.
在实数集合的紧致性为已知的前提下,证明算术平均值与几何平均值不等式,Cauchy不等式,ЧeóыⅢeв不等式,Hlǒder不等式,三角不等式之间的互相等价性,而且它们都等价于一个实数的平方不小于零. 相似文献
20.
The level of financial inequality among U.S. higher education institutions has important implications for students and society, yet few scholars have examined this topic using established methods for measuring inequality. This paper updates and extends previous work while introducing decompositions that shed light into key trends that we observed for the 2004–2017 period: increasing inequality in total expenditures and decreasing inequality in per-student expenditures. The results of our decomposition highlight how these opposing trends related to rising differences in enrollments and an increasingly positive correlation between an institution's enrollment level and its expenditures per student. Our decomposition results also show that both between-group differences and within-group differences contributed to the observed trends. Further examination of within-group differences reveals that inequality patterns differed meaningfully by institutional type, with doctoral universities and private baccalaureate colleges possessing higher levels of inequality and a more positive correlation between per-student expenditures and enrollments than master's institutions and public associate's colleges. 相似文献