1) Schwarz formula
Schwarz公式
1.
Using the Schwarz formula of Dirichlet boundary value problems for analytic functions,the solvable conditions and the representation of the solutions of the inverse boundary problems are obtained.
利用解析函数Dirichlet边值问题的Schwarz公式,给出了该边值逆问题的可解条件和解的表示式。
2.
Using the Schwarz formula of Dirichlet boundary value problems in half plane for analytic functions,the solvable conditions and the representation of the solutions of the inverse boundary .
利用半平面中解析函数D irichlet边值问题的Schwarz公式,给出了该边值逆问题的可解条件和解的表示式。
2) Schwarz integral formula
Schwarz积分公式
1.
Schwarz integral formula in C_n(0,1) is an important theorem in function of several complex variables.
在Cn(0, 1)中的Schwarz积分公式是多复变函数的一个重要定理,通过引入积分算子给出了在Cn(0, 1)中Schwarz积分公式的另外一种递推证法,证明过程简洁且证明方法直接,最后在此基础上讨论了在Cn(0, 1)中两种典型的边值问题的解。
2.
In this article,a method of Mathematical inducing has been given to prove Schwarz integral formula on several cylinder domain and the way is novel.
采用数学归纳法证明在多圆柱域中Schwarz积分公式,证明方法新颖,并在此基础上讨论在多圆柱域中Neumann边值问题的解。
3.
In addition,the authors obtain Schwarz integral formula of analytic functions on C n(0,1),by which the condition of solvability and the solution of Hilbert boundary value problem are discussed.
通过引进算子 ,对 [1]和 [2 ]中Schwarz问题的证明作了有效的改进 ,并得到了Cn( 0 ,1)中的解析函数的Schwarz积分公式 ,进而讨论了这个区域Hilbert边值问题可解性的条件和解的表达
3) 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。
4) 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。
5) Schwarz-Pick inequality
Schwarz-Pick不等式
6) 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
补充资料：Christoffel-Schwarz公式
Christoffel-Schwarz公式
Christoffel -Sdiwarz formula
对于有一个或几个顶点在无穷远点的多边形，Christoffel一Schwarz公式仍然成立.在这种情形，于无穷远点的边的夹角定义为所述边(或它们的延长线)在有穷点的交角(带负号).若顶点之一的原象a、是无穷远点，则取消公式(*)中相应的因子(卜al)“，一’ 对于单位圆盘}:}
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条