Cauchy相关论文
设xi>0,i=1,2,…,n.则有 这个不等式的证明,一般都要用到数学归纳法,而且还较为复杂。下面我们给出的一个证明是
Let xi>0,i=1,2,......
由图1知,三正数a、b、c能构成一个三角形的充要条件是:存在三正数x、y、z,使得
As shown in Fig. 1, a necessary and sufficien......
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In 1965, Lu Yu-Qian discovered that the Poisson kernel of the homogenous domain S m,p,q={Z∈Cm×m, Z1∈Cm×p,Z2 ......
Cauchy problem of semi-linear parabolic equations with weak data in homogeneous space and applicatio
In this paper we study the Cauchy problem for a class of semi-linear parabolic type equations withweak data in the homog......
Applying the Riemann-Roch theorem,we calculate the dimension of a kind of mero- morphicλ-differentials’ space on compa......
We present multicomponent flow models derived from the kinetic theory of gases and investigate the symmetric hyperbolic-......
Riesz-Kolmogorov theorem in variable exponent Lebesgue spaces and its applications to Riemann-Liouvi
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The Cauchy problem in Rn of (i) ut = Δuα+1+uβ and (ii) with non-negative initial value is studied. Here α】0, β】1.......
The Cauchy problem and initial traces for the doubly degenerate parabolic equationsare studied. Under certain growth con......
题目已知x+y+z=1, 求证x~2+y~2+z~2≥1/3。证法一应用均值不等式。由x+y+z=1得(x+y+z)~2=1, 即 x~2+y~2+z~2+2(xy+yz+zx)=1 (1) ......
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The characteristics of special apodized fiber Bragg grating (FBG) in flat-top pass-band as reflectivity filter are pres......
This paper is concerned with the finite time blow-up phenomena for the vector nonlinear Schrdinger equations with a ma......
<div style="text-align:justify;"> In this paper, we discuss the integrals of oscillatory kind function with Cauchy princ......
设△ABC三边上的高和内切圆半径分别为ha,hb,hc,r.则Cosnita-Turtoiu不等式[1]是:h1+rh1-r+hh22-+rr+hh33-+rr≥6①最近,文[2]给出......
Cauchy不等式经过逐步升华,就得到了Hlder不等式,对Hlder不等式进行初等变形,并通过两个引理,对变形后的Hlder不等式[(a1+a2......
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用有理数序列去逼近无理数、用函数序列去逼近函数,这本是高等数学中的思想方法;如今,在名校自主招生测试中却频繁出现,值得引起同......
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文[1]给出了下列命题已知x12+x22+…+x1002=300,求证:x1+x2+…+x100≤200.文[2]沿用文[1]的方法,利用探究的手段加强并推广了上述......
1问题的提出法国路易·巴斯德大学的Mohammed Aassila教授在1998年9月的Crux Mathematiorum With Mathematical Mayhem杂志第304页......
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基于Cauchy先验分布的贝叶斯AVO反射率反演,可以产生类似于稀疏脉冲反演的结果,增强了对大反射系数的识别能力,反演过程中正则项和......
Cauchy inequality is an important one in the inequal-ity theory , the inequality is beautiful, perfect and symmetrical, ......
模拟退火 (SA )算法是一种常用的概率性全局优化算法 ,但其搜索行为和优化性能对参数有严重的依赖性 ,其中状态发生器的设计最为关......
一、引 分析中一个著名的Cauchy中值定理,它的具体内容是 如果函数f(x)和g(x)满足:(1)在[a,b]上都连续;(2)在(a,b)内都可导;(3)f(x......
Lipschitz continuous solutions to the Cauchy problem for 1-D first order quasilinear hyperbolic systems are considered. ......
本文考虑二阶奇异微分方程的 Cauchy 问题利用 Schauder 不动点定理,我们得到了解的存在性结果,并在 Lipschitz 条件下给出了唯一......
实数的连续性,为极限理论的发展提供了坚实的基础,使我们能够进行充分地讨论,得到了一系列相当完美的结果,包括闭区间上连续函数诸......
给出了n维热传导及n维波动方程Cauchy问题幂级数解法，在实际应用时较以往方法更加简便．...
我们开发概括有条件的对称(GCS ) 途径为 KdV 类型方程解决 Cauchy 问题的维的减小的问题。我们描绘承认某些高顺序的 GCS 并且由......
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本文给出了一类实数列累次极限可交换次序的条件，为讨论有关数列及级数的收敛性提供了方便．......
关于几何形体各元素之间的不等式称为几何不等式,是几何学科的重要内容之一。在文[1]和[2]中,我们已导出了三角形诸元素之间的一些......
本文利用复变函数的许瓦尔兹－克力斯托夫变换，给出了闸底板下半无限深渗流场的解析解，指出了闸底板杨压力计算中直线比例法的理论基础......
0 IntroductionWe consider here seepage problem with the free boundaryon the free boundary ψ=0, =y.By an inverse formula......
本文将对柯西(Cauchy)不等式变等式的条件加以讨论,并给出该条件的几何意义.为此,先给出柯西(Cauchy)不等式的两种新的证明方法.......
证明了Ｆｕｚｚｙ数空间关于一致对称差度量是完备的。...
在空间解析几何中,2个向量,的内积定义为·=｜a｜ ｜｜ cos（,∧）,由于cos（∧,）≤1,故有｜a｜ ｜｜≤｜a｜ ｜｜,推广到欧氏空间中,得......
