Then the application of cauchy - inequality is illustrated by proving a proposition or an inequation , solving a triangle , and finding a solution to an equation or the maximum value & minimum value of a function 然后给出了柯西不等式在命题证明、不等式证明、求解三角形问题、函数最值、解方程等方面的应用。
This article gives a description of cauchy inequality under the restricted condition of the variables ad proves it through mathematical induction , and at the same time presents some instructive results 摘要本文介绍了在变量限制条件下的柯西不等式,同时用数学归纳法予以证明之,顺便给出了一些有意义的结果。
For these states , i study the mean photon number distribution and their non - classical properties , which are photon antibunching , violations of cauchy - schwarz inequality and two - mode squeezing 对这些态,我们研究了平均光子数分布及其非经典特性,它们包括光子聚束, cauchy - schwarz不等式的违背和双模压缩。
Abstract : with structural matrixes and the result of thesis [ 1 ] , a class of sum ( product ) inequalities can be proved and cauchy inequality and some results in the existing articles can be generalized 文摘:本文通过构造矩阵和利用文[ 1 ]的结果,证明了一类和(积)式不等式,推广了柯西不等式及一些已有文献中的结果。
In chapter 2 , we generalize its nonlinearity from the cubic case to the p - th power cases . through considering the cauchy problem for the generalized davey - stewartson equation in , we obtain its scattering theory 第二章中就另一种形式的具有两个非线性项的广义davey - stewartson方程在空间中给出了散射算子的存在性。
In the second chapter , the concept of an integrated abstract delay equation is introduced , and the equivalence of the well - posedness of an integrated delay equation and an associated integrated cauchy problem is derived 在第二章中,引入了积分抽象时滞方程的概念,并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。
Then , we prove that the classical solution of the cauchy problem of boussinesq equations exists globally by virtue of the blow - up criterion of classical solution for 2 - d boussinesq equations without viscosity term 然后在二维无粘boussinesq方程组( = = 0 )古典解爆破准则( blow - upcriterion )的基础上,本文证明了所求问题古典解的整体存在唯一性。