共查询到20条相似文献,搜索用时 62 毫秒
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分层教学的Bayes分析 总被引:3,自引:0,他引:3
对学校分层教学进行了初步探索 ,提出了分层分班的 Bayes决策 ,介绍了分层分班方法 ,获得了一些结论 ,并完成了对这些结论的证明 ,从理论上论述了分层教学是实施“因材施教”教育原则和素质教育的有效途径 ,给出了应用实例 . 相似文献
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改进的PROMETHEE方法在招标中的应用研究 总被引:3,自引:0,他引:3
针对 PROMETHEE方法的局限性 ,对 PROMETHEE方法进行了改进 ,用效用函数取代了优先函数 ,提出了属性权重的确定方法 .应用改进的 PROMETHEE方法 ,对某装备招标中的 6个方案进行了评价 ,取得了较好的效果 相似文献
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在学习了反比例函数后,老师带大家总结了两个点及函数图像的对称性.对于两个一次函数对称的情况,我自己进行了探索,发现了 相似文献
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侯春雨 《数学的实践与认识》2012,42(6):134-137
对IEEE802.16e的退避算法进行了研究,分析了该算法的不足,并进行了改进,提出了基站可随冲突MS数目动态调整起始退避窗大小的改进退避算法,给出了两种算法的仿真实验结果,证明了改进的算法可大大提高系统接入的性能,降低了接入冲突的概率. 相似文献
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指出了一些微积分教辅书中一类极值问题的解答错误,分析了产生错误的原因,仔细研究了变量之间的关系,从而给出了正确的答案. 相似文献
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This paper presents two new identities involving generalized Fibonacci and generalized Lucas numbers. One of these identities generalize the two well-known identities of Sury and Marques which are recently developed. Some other interesting identities involving the famous numbers of Fibonacci, Lucas, Pell and Pell-Lucas numbers are also deduced as special cases of the two derived identities. Performing some mathematical operations on the introduced identities yield some other new identities involving generalized Fibonacci and generalized Lucas numbers. 相似文献
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Using a pair of two variable series-product identities recorded by Ramanujan in the lost notebook as inspiration, we find some new identities of similar type. Each identity immediately implies an infinite family of Rogers-Ramanujan type identities, some of which are well-known identities from the literature. We also use these identities to derive some general identities for integer partitions. 相似文献
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《Discrete Mathematics》2002,257(1):125-142
We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be q-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities. 相似文献
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Jeremy Lovejoy 《The Ramanujan Journal》2012,29(1-3):51-67
Residual identities of Ramanujan-type partial theta identities are tailor-made for producing conjugate Bailey pairs. This is carried out for partial theta identities in Ramanujan??s lost notebook, a number of the partial theta identities of Warnaar, and for some new ones as well. 相似文献
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Xiao Mei Yang 《数学学报(英文版)》2010,26(6):1115-1124
In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan's identities, Winquist's identity and many other interesting identities. 相似文献
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Slavcho Shtrakov 《Algebra Universalis》2009,61(3-4):381-397
The paper deals with Σ-composition of terms, which allows us to extend the derivation rules in formal deduction of identities. The concepts of essential variables and essential positions of terms with respect to a set of identities form a key step in the simplification of the process of formal deduction. Σ-composition of terms is defined as replacement between Σ-equal terms. This composition induces ΣR-deductively closed sets of identities. In analogy to balanced identities we introduce and investigate Σ-balanced identities for a given set of identities Σ. 相似文献
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《Discrete Mathematics》2006,306(10-11):1072-1075
An algorithm for proving terminating hypergeometric identities, and thus binomial coefficients identities, is presented. It is based upon Gosper's algorithm for indefinite hypergeometric summation. A MAPLE program implementing this algorithm succeeded in proving almost all known identities. Hitherto the proof of such identities was an exclusively human endeavor. 相似文献
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Youn-Seo Choi 《Transactions of the American Mathematical Society》2002,354(2):705-733
Ramanujan's lost notebook contains many results on mock theta functions. In particular, the lost notebook contains eight identities for tenth order mock theta functions. Previously the author proved the first six of Ramanujan's tenth order mock theta function identities. It is the purpose of this paper to prove the seventh and eighth identities of Ramanujan's tenth order mock theta function identities which are expressed by mock theta functions and a definite integral. L. J. Mordell's transformation formula for the definite integral plays a key role in the proofs of these identities. Also, the properties of modular forms are used for the proofs of theta function identities.
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Tran Dan Thu 《Graphs and Combinatorics》2012,28(3):423-432
The Ahlswede–Zhang identity is an elegant sharpening of the famous LYM-inequality. Recently, we have found a parametrised
identity which implies the AZ identity and characterizes deficiencies of other inequalities in combinatorics. In this paper,
we show identities of half-way extraction from AZ-style identities. These identities aim to characterize more clearly terms
participating in AZ identities or LYM-style inequalities. 相似文献