共查询到20条相似文献,搜索用时 93 毫秒
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著名数学家华罗庚说过:善于退,足够的退,退到最原始而不失去重要的地方,是学好数学的一个诀窍.这里所谓的退,当然不是逃跑,而是养精蓄锐,蓄势待发,是在为进寻求途径,即以退为进.它的实质是借助转化的数学思想,把复杂的问题简单化,运动的问题静止化,高维问题低维化,变量问题常量化,抽象问题具体化,代数问 相似文献
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香港海洋公园里有一条大鲸鱼,虽然重达8600 kg,却不但能跃出水面6.6m,还能向游客表演各种杂技.面对这条创造奇迹的鲸鱼,有人向训练师请教训练的秘诀.训练师说,在最初开始训练时,我们会先把绳子放在水面之下,使鲸鱼不得不从绳子上方通过,每通过一次,鲸鱼就能得到奖励.渐渐地,我们会把绳子提高,只不过每次提高的幅度都很小,大约只有2 cm,这样鲸鱼不需花费多大的力气就有可能跃过去,并获得奖励.于是,这条常常受到奖励的鲸鱼,便很乐意地接受下一次训练.随着时间的推移,鲸鱼跃过的高度逐渐上升,最后竟然达到了6.6m. 相似文献
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现实的数学课堂教学中,我们不难发现,看上去精彩纷呈的一堂课,学生、老师都表现得很积极,课堂气氛也热闹非凡,其实这样的课堂未必高效,而有时看似很普通的常规课,却往往透着高效.有人总认为高效课堂是名师的专利,对于普通老师来说,上好常规课,做到有效就已经是很努力的事情了,高效课堂是遥不可及的海市蜃楼,其实,在教学过程中,只要我们把功夫花在课前,抓住课堂这块教学的主阵地,落实课后反思,高效课堂也能触手可及. 相似文献
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浅谈图形语言在解题中的巧用 总被引:2,自引:0,他引:2
美国数学家斯蒂恩说:"如果一个特定的问题可以转化为图形,那么,思想就整体地把握了问题,并且能创造性地思索问题的解法."这就表明,解题时若能挖掘问题的几何意义,配以适当的图形,就有利于分析题中数量之间的关系,丰富表象,拓宽思路,化繁为简,化难为易,迅速找出解决问题的方法,提高分析和解决问题的能力,取得以简驭繁的效果. 相似文献
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唐岚 《应用泛函分析学报》2004,6(1):83-85
利用H^p乘子理论及奇异积分算子理论研究一类奇异积分算子的H^p有界性,并且证明了当n充分大时,利用奇异积分算子理论所得结果要好一些. 相似文献
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众所周知,如果Calderón-Zygmund算子T满足T~*(1)=0,则算子T在H~p,n/(n+ε)
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本文证明了H~p(T)(1≤p≤∞)空间上以n阶Blaschke乘积为符号的Toeplitz算子相似于⊕_nT_z,从而证明了这类算子的有限BIR分解在相似下唯一. 相似文献
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T_b表示由加权Lipschitz函数b∈Lip_β(μ)(0β1)与Calderon-Zygmund奇异积分算子T生成的交换子.当μ∈A_1,n/(n+β)p≤1时研究了T_b在经典加权Hardy空间H~p(μ))上的有界性质,在端点p=n/(n+β)处研究了T_b在加权Hardy空间上的弱型估计. 相似文献
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D. Medková 《Potential Analysis》2013,39(4):389-409
Using the integral equation method we study solutions of boundary value problems for the Stokes system in Sobolev space H 1(G) in a bounded Lipschitz domain G with connected boundary. A solution of the second problem with the boundary condition $\partial {\bf u}/\partial {\bf n} -p{\bf n}={\bf g}$ is studied both by the indirect and the direct boundary integral equation method. It is shown that we can obtain a solution of the corresponding integral equation using the successive approximation method. Nevertheless, the integral equation is not uniquely solvable. To overcome this problem we modify this integral equation. We obtain a uniquely solvable integral equation on the boundary of the domain. If the second problem for the Stokes system is solvable then the solution of the modified integral equation is a solution of the original integral equation. Moreover, the modified integral equation has a form f?+?S f?=?g, where S is a contractive operator. So, the modified integral equation can be solved by the successive approximation. Then we study the first problem for the Stokes system by the direct integral equation method. We obtain an integral equation with an unknown ${\bf g}=\partial {\bf u}/\partial {\bf n} -p{\bf n}$ . But this integral equation is not uniquely solvable. We construct another uniquely solvable integral equation such that the solution of the new eqution is a solution of the original integral equation provided the first problem has a solution. Moreover, the new integral equation has a form ${\bf g}+\tilde S{\bf g}={\bf f}$ , where $\tilde S$ is a contractive operator, and we can solve it by the successive approximation. 相似文献
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《高校应用数学学报(英文版)》2021,36(3)
In [3], Chen, Deng, Ding and Fan proved that the fractional power dissipative operator is bounded on Lebesgue spaces L~p(R~n), Hardy spaces H~p(R~n) and general mixed norm spaces, which implies almost everywhere convergence of such operator. In this paper, we study the rate of convergence on fractional power dissipative operator on some sobolev type spaces. 相似文献
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The paper deals with the existence of solutions for a class of optimal design problems. The notion of relaxation of an integral functional with respect toG-convergence is introduced, and a general integral representation theorem is obtained for the relaxed functional. For a particular class of functionals, this integral representation is computed explicitly.This work has been realized in a National Research Project in Mathematics supported by the Ministero della Pubblica Istruzione (Italy). 相似文献
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给出了算子T=∑_(n=1)~∞T_n在H_B~p和BMO_(p,B)~-上有界的一些充分条件,其中T_n(n∈P)为具有Δ性质的算子.作为应用,借助于算子值鞅变换得到了关于鞅的矩型极大算子的强(p,p)型不等式和弱(1,1)型不等式,以及其在BMO_(p,B)~-上的有界性.这些结果与经典H~p鞅论中极大算子的性质相对应. 相似文献
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In this paper, the authors prove the weighted boundedness of singular integral and fractional integral with a rough kernel on the weighted λ-central Morrey space. Moreover, the weighted estimate for commutators of singular integral with a rough kernel on the weighted λ-central Morrey space is also given. 相似文献