无穷多,infinitely many

1)infinitely many
无穷多
例句>>

2)infinite infinitesimals
无穷多个无穷小
1.
This paper discusses how to teach students"the product of infinite infinitesimals isn t necessarily infinitesimal" in teaching "advanced mathematics" Or "Mathematical Analysis",and the author provides some new original examples which had not been seen in currently available textbook and riches the teaching content.
文章对"无穷多个无穷小的乘积不一定是无穷小"这一知识点在"高等数学"或"数学分析"的教学中如何讲授给学生进行了一些有益的探讨,并给出了一些在现有教科书及参考书中未曾见过的独创的新例子,从而丰富了教学内容。


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3)Infinite many point
无穷多点
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4)Infinitely many solutions
无穷多解
1.
By means of the variational approach,in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
在比(AR)条件更弱的一类超线性条件之下,利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。


2.
The aim of this paper is to discuss the infinitely many solutions of a class of p-biharmonic-like equations on a bounded smooth domain of RN,where 2p>N,and the nonlinearity may not be odd symmetric.
讨论了RN中有界光滑区域上的一类类p-双调和方程的无穷多解问题,其中2p>N,非线性项不必具有奇对称性。


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5)multiple solutions
无穷多解
1.
In this paper,we considered the multiple solutions of the following p-Biharmonic-Like problem with 0-Dirichlet boundary value in a bounded domain with smooth boundary:△(a(△u|)△u|△u) = f (x,u), where f (x,u) is a nonlinear odd term.
考虑了类P-双调和方程△((a△up)△up-2△u)=f(x,u)的Dirichlet零边值问题的无穷多解问题,这里的非线性项是奇的,通过验证所定义的泛函满足Cerami条件,从而运用喷泉定理,得到了无穷多个大能量解的存在性。


2.
By considering the following p-Laplace problem of 0-DDirichlet boundary value in a bounded domain of Ω=(0,1)~N:-div(|Du|~(p-2)Du)=g(x,u)+f(x), the existence of multiple solutions in W~_(1,p)_0(Ω) is shown under some assumptions in this paper.
在有界区域Ω=(0,1)N中讨论含非对称形式的p laplace方程-div(|Du|p-2Du)=g(x,u)+f(x)的Dirichlet零边值问题,给出了在一定条件下无穷多解的存在性。


3.
In this paper, the recent achievements of multiple solutions in semilinear ellipic problems and p-Laplacian problems are related.
在更一般的条件下用不同的方法获得了方程无穷多解的存在性结果。


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6)infinite set of dimensions
无穷多维数
1.
The infinite set of dimensions Dq, singularity of strength α(q) and the fractional dimension f(α) oftwo-frequency quasiperiodic attractor in the quasiperiodically forced circle map are numerically calculated, andthe corresponding figures are given.
用数值计算方法计算了准周期强迫园映象中两频率准周期吸引子的无穷多维数Ｄｑ、奇性强度α（ｑ）与α的点集维数ｆ（α）值，并给出了相应的图线。




补充资料：无穷动
　　一种从头至尾贯穿着急速节奏（通常是连续的16分音符）的乐曲。C.M.von韦伯的《D大调钢琴奏鸣曲》第4乐章和N.帕格尼尼的作品11，都是无穷动的典范作品。J.施特劳斯的无穷动（作品 257）系采用主题与变奏的形式写成。Н.А.里姆斯基-科萨科夫的著名乐曲《野蜂飞舞》也是一种无穷动式的作品。
　　


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无穷多,infinitely many