无限维的

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

First,we impose Dirichlet boundary conditions in stead of the semi-infinite domain in one space dimension.

首先，我们用有限区间来代替一维空间中的半无限区域。

The infinite elliptic cone geometry can be transformed into the two-dimensional plane under the assumption of pure TEM spherical waves. The closed-form solutions for the characteristic parameters are obtained.

应用坐标变换和共形变换研究椭圆双锥天线，在传输纯TEM波的假设下，把无限长椭圆双锥结构变换为二维平面结构，从而得到椭圆双锥天线输入阻抗闭合解，其典型结果与文献一致。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

The aim of this paper is to answer the query on the foundation of quantum mechanics advanced by Tao Zongying in articles,Acta Mathematica Scientia,1982,2(2):183～192 and Acta Photonica Sinica,1997,26(9):769～770.It is shown,based on the globalism concept in quantum mechanics,that Landau and Lifshitz′s momentum probability distribution function of a particle in a one dimensional infinitely deep square potential well is correct,and that Pauli and other′s distribution function is incorrect.The problem of mome...

本文回答了文献1～2对量子力学提出的疑问基于量子力学的整体性概念指出，Landau和Lifshitz给出的一维无限深方势阱中粒子的动能概率分布函数是正确的，Pauli等人给出的概率分布函数是不正确的从量子测量理论的角度讨论了一维谐振子的动量概率分布问题，并且指出势能大于本征能量的概率不为零并不表示存在负动能的概率分布区域

Surface plasmon resonances of two-dimensional gold nanoparticles under the electrical dipole source and plane electromagnetic wave(magnetic polarized in z-direction) are investigated.

根据Maxwell电磁理论，探讨无限域中二维细杆形金奈米粒子受到磁场在轴方向极化之平面电磁波与电偶极波源所造成的表面电浆子现象。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

Theequivalence percolation resistance law is accurate enough to be used in productivitycalculation of horizontal well pattern.(3) Productivity of mixed well pattern of horizontalwell or multilateral horizontal well and vertical well is constructed and formulae are simpleenough to be used in the oilfield. The patterns include 5-spot pattern,7-spot pattern and9-spot pattern.(4) Productivity formula of united rectangular well pattern of horizontaland vertical wells is constructed. By this formula, the calculation results show that fora horizontal well length, there is a shape factor at which the productivity of the patternis biggest. So optimum method of the well pattern is proposed.(5) A new concept ofdimensionless length of horizontal well is advanced and the relationship of optimum shapefactor of the rectangular well pattern against dimensionless length of horizontal well ispresented. The influences of length of the horizontal well, area of the well pattern unitand the thickness of reservior are concerned.

利用该公式计算表明：当水平井长度一定时，存在一个最优井网形状，使得水平井的产能最大，在此基础上提出了水平井井网的优化方法；(5)提出了水平井无因次长度的概念，给出了联合井网最优井网形状因子与水平井无因次长度的关系式，并对水平井长度、油层厚度及井网面积对产能的影响进行了分析；(6)推导出了一无限水平井井排在XY 平面内势的解析解，为不同水平井整体开发井网或水平井和直井井网整体开发渗流理论的研究奠定了理论基础；(7)建立了交错式水平井与直井整体开发渗流理论，给出了拟三维条件下井网产能的精确解析解及该井网最优井网形状因子与水平井无因次长度的关系，并对产能的影响因素进行了分析；(8)建立了水平井与水平井正排列井网、交错排列井网条件下渗流理论及井网产能在拟三维条件下的精确解析解，给出了交错井网条件下最优井网形状因子与水平井无因次长度的关系，通过与正方形井网对比，说明优化井网可大幅度提高开采效果；(9)建立了分支水平井和直井面积井网水油两相非活塞驱替条件下渗流问题的解析解，给出了见水前后无因次产量与无因次时间的关系式以及见水时间等。

Many sources for Vanvitelli's inspiration for these surprising and dramatic vestibules have been suggested, but only Vanvitelli's first training in scenography can explain the effect of infinite space achieved by the fleeting diagonal planes across the rectangular courtyards.

为万维泰利的灵感来源，许多这些令人惊奇和戏剧性的门廊已提出，但只有万维泰利在透视画法的第一次培训可以解释的整个矩形院落稍纵即逝对角线飞机取得无限的空间效应。

But the proliferation of rules, and the fact that selectWikipedians have learnt how to handle them to win arguments, now represents adanger, says Andrew Lih, a former deletionist who is now an inclusionist, andwho is writing a book about Wikipedia.

依据 Andrew Lih 的观点，规则的无限扩大、某些熟谙规则的维基客利用规则来赢得讨论，这也带来一种危险。他曾是删除派一员，如今则是保留派的支持者，目前正在创作一本关于维基百科的专著。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。