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1)  Schwarz-Pick inequality
Schwarz-Pick不等式
2)  Schwarz inequality
Schwarz不等式
1.
In this paper we give the relationship between Schwarz inequality and the triangle inequality ,then we reveal the geometric significance of Schwartz inequality.
在这篇文章里,我们给出了Schwarz不等式和三角不等式之间的关系,从而揭示了Schwarz不等式的几何意义,应用以上结果,我们改进了曲线弧长公式的证明。
2.
The paper presents an upper limit for the premium of equity-linked life insurance with a minimum guarantee and periodic premiums by the definition of brownian motion and Schwarz inequality under the assumption that the price of reference investment fund follows a geometric Brownian motion,and verifies its rationality by the method of Monte Carlo simulation.
本文在投资基金价格服从几何布朗运动假设下,根据布朗运动的定义和Schwarz不等式得到了具有最小保证金和分期付费的投资连结保险保费的一个上限,并通过Monte Carlo模拟方法检验了它的合理性。
3)  Cauchy-Schwarz inequality
Cauchy-Schwarz不等式
1.
The generalization of Cauchy-Schwarz inequality and its application in matrix analysis
Cauchy-Schwarz不等式的推广及其在矩阵分析中的应用
2.
By using the Cauchy-Schwarz inequality and the properties of octonions,we give an elementary proof of it.
文章利用Cauchy-Schwarz不等式及八元数的一些性质,给出了它的一个初等证明。
3.
By means of induction and analogy,on the basis of analyzing and studying Cauchy-Schwarz dispersed inequality,a new integral popularization of Cauchy-Schwarz inequality has been obtained.
在分析和研究Cauchy-Schwarz不等式的基础上,运用归纳类比的方法,得到了Cauchy-Schwarz不等式的又一个积分推广形式,并给出了一种简洁有趣的构造性的证明。
4)  Cauchy-Schwarz inequalities
Cauchy-Schwarz不等式
1.
Nonlinear trio-coherent states are introduced and the properties of the completeness relation,number distribution and Cauchy-Schwarz inequalities are studied.
引入了非线性Trio-相干态,讨论了该量子态的完备性及其光子数统计分布和Cauchy-Schwarz不等式。
2.
Let X be an nonnegative random variable and 0<m≤X≤M,converse of two Cauchy-type inequalities are discussed,some moment inequalities of X are obtained as follow:E(X2)-(E(X))2≤14(M-m)2,E(X2)-E(X)≤(M-m)24(M+m),E(X)-(E(X-1))-1≤(M-m)2,E(X)E(X-1)≤(M+m)24Mm,and several converse Cauchy-Schwarz inequalities are also derived.
设X是非负随机变量且0
5)  Buniakowski-Schwarz inequality
Buniakowski-Schwarz不等式
1.
On the basis of research results, popularization of Buniakowski-Schwarz inequality in L pspace is discussed, and a new thinking and method are provided for further studying integral theory in L pfunction space.
现在已有研究成果的基础上,讨论了Buniakowski-Schwarz不等式在Lp空间中的推广形式,为进一步研究Lp函数空间的积分理论提供一种新的思想和方法。
6)  reversed Bunziakowski-Schwarz inequality
反向Bunziakowski-Schwarz不等式
补充资料:Schwarz曲面


Schwarz曲面
Sdmarz surface

S由W别比曲面【s由W别比蕊州.瑰:111.即职anooep双oc、] 内接于一段有限圆柱面内的一个多面体的侧面,使得在适当选取参数之后,一列这种曲面的面积能够趋于任意的极限(包括无穷大在内). 鑫 Seh场妞口曲面(见图)的构作使得当它的各个面的最大直径趋于零时,它们就其在空间中的位置而言与柱面的切平面完全不接近.这样,Se孙粕几曲面的面就不能以逐渐增大的精确性来近似柱面的面积元.该曲面由H.A.Sc】1胡花LrZ在18即年引进.
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