共查询到20条相似文献,搜索用时 46 毫秒
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数列的相关知识是高中数学课程的重点之一,现实生活中的许多问题,例如增长率、银行信贷、环境绿化等都与数列问题有关,此外数列中还涉及到累加、累乘、错位相减等多种计算方法以及递归的思想、极限思想、函数思想、数形结合思想等,这些思想都是初等数学与高等数学重要的衔接点.在历年的高考中可以发现,对数列的考查要求也非常高,除了直接考查数列通项公式和计算数列前n项和之外,还会将数列与函数、不等式、算法程序等问题进行综合考查.因此,如何执教数列问题,值得思考. 相似文献
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结合教学实践,展示在高等数学习题课中,基于一道数列极限题目,尝试"问题-实验-分析-猜想-证明-创新"的教学模式,以培养学生创新意识的过程. 相似文献
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求递推数列的极限是数列极限中一个非常重要的内容,常用单调有界定理,压缩映射原理解决.本文利用不动点给出该类数列的解法,在解决复杂问题中有一定的优越性. 相似文献
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函数极限的计算是高等数学基本运算之一.在计算函数极限的问题中往往遇到这样一类问题,已知函数的极限值,试确定函数表达式中待定常数的值.我们不妨称此类问题为函数极限的局部逆问题. 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
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We analyze one class of families of integral equations and describe the dependence of the singularities of solutions of integral equations on the dimensions of the families of kernels of equations. On the basis of these results, we propose procedures for the construction of approximate solutions for a small parameter. 相似文献
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A. V. Berdakchiev 《Mechanics of Composite Materials》1976,12(3):347-352
It is shown that the asymptotic solution of a problem of the nonlinear theory of thermoviscoelasticity, if it exists, can be found directly from the solution of the asymptotic boundary-value problem without completely solving the starting problem.M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 3, pp. 395–400, May–June, 1976. 相似文献
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A. N. Vetokhin 《Differential Equations》2016,52(3):272-281
We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter. 相似文献