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The main idea for our approach relies on a study of the boundary theory we established for the general CAT(1) spaces.


LetD be a Hermitian symmetric space of tube type,S its Shilov boundary andG the neutral component of the group of biholomorphic diffeomorphisms ofD.


Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?valued,Ginvariant kernel for triples of mutually transversal points inS.


For every orbitGυ which is not polynomially convex we construct an analytic annulus or strip inG?υ with the boundary inGυ.


Such properties are expressed using the Furstenberg boundary of the associated symmetric space ? × ?.

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We describe the main results obtained in a joint work with Athanasopoulos and Caffarelli on the regularity of viscosity solutions and of their free boundaries for a rather general class of parabolic phase transition problems.


It also has the ability to conveniently incorporate boundaries and creases into a smooth limit shape of models.


As a result, the boundaries between the surface crystals become a little larger with prolonging the period of ageing time.


With increasing the amount of salt, there was hardly influence on the growth rate along caxis, whereas an obvious decline was observed in the growth rate along either aaxis or baxis, which enlarges the boundaries between the surface crystals.


The use of a temperature as high as 473 K produces a membrane composed of barlike crystals with larger boundaries.

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Cubilin, an endocytic receptor expressed on the renal tubular brush border, is responsible for albumin reabsorption in physiologic condition.


The partial control notion in border disciplines is examined.


These data show that water transport through apoplast to the border between the cortex and central cylinder is accompanied by an increase in the resistance to water flow.


The possible role of border factors in determining the nucleosome positioning on a DNA sequence was investigated.


If the capillary border intersects the surface of the ground and there is an alternation of the processes of infiltration, redistribution, and evaporation of moisture, rapid oscillations in the ground water level are possible.

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A Discrete Wavelet Transform without edge effects using wavelet extrapolation


Commonly used techniques such as circular convolution and symmetric extension can produce undesirable edge effects which propagate into the interior of the transformed data as the number of DWT iterations increases.


In this paper, we clarify exactly how "bad" such Gabor expansions are, we make it clear precisely where the edge is between "enough" and "too little," and we find a remedy for their shortcomings in terms of a certain summability method.


A fixed double (single) bond of a Kekuléan benzenoid systemH is an edge belonging to all (none) of the Kekulé structures ofH.


Furthermore, its connectivity, diameter and transitivity (vertex, edge) are also determined.

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 其他 

 In this paper the writer presents a Monte Carlo solution of the difference equation corresponding to the parabolic partial differential equation (?)u/(?)t=a~2△u(x,y,t), (x,y,t)∈D under boundary condition u(x,y,t)=f(x,y,t), (x,y,t)∈r and initial condition u(x,y.0)=g(x,y). The method is described as a twodimensional random walk.  本文企图把适用于固定边界的定常边界条件的热传导方程的蒙特卡罗方法,推广到变动边界的不定常边界条件的热传导方程中去。本文讨论的问题虽然只是三个独立变量的问题,但不难将其推广,使适用于更高维数的方程。  This paper presents a new proposition to establish the supplementary equation for stress separation in threedimensional photoelasticity. At first, the values of (σx+σyμσ2) on the boundary of a slice of threedimensional model may be determined by using the photoelasticity methods. Secondly, according to the values of (σx+σyμσ2) given above, the solutions of (σx+σyμσ2) at the interior points in the slice can be obtained by the method of numerical solution (for example, the interactive process) and with... This paper presents a new proposition to establish the supplementary equation for stress separation in threedimensional photoelasticity. At first, the values of (σx+σyμσ2) on the boundary of a slice of threedimensional model may be determined by using the photoelasticity methods. Secondly, according to the values of (σx+σyμσ2) given above, the solutions of (σx+σyμσ2) at the interior points in the slice can be obtained by the method of numerical solution (for example, the interactive process) and with the help or the electronic computer. Thus, it is shown that the expressions of the (σx+σyμσ2) in numerical solutions may be used as the supplementary equation for stress separation at the interior points in the slice of three dimensional model.  本文提出一个建立三维光弹性应力分离补充方程的新建议。首先，用光弹性实验方法可以确定三维模型切片边界上的（σｘ＋σｙ－μσ２）值； 然后，根据它们用数值解法借助于电子计算机算出切片中各点的（σｘ＋σｙ－μσｚ）值。显然，它们的表达式可作为三维模型切片中任一点的应力分离的补充方程式。  The writer of this paper has proceeded with quest and test and has presented a proposition for describing a continuous plough bottom surface in a single step.The results are as following.1. The analytic expression of a continuous plough bottom surface is formed by the principle of a moving line which moves continuously along the horizontal trace, turns around the xaxis and at the same, continuously changes its space angle formed with the xaxis. On the basis of this principle the plough bottom surface of model... The writer of this paper has proceeded with quest and test and has presented a proposition for describing a continuous plough bottom surface in a single step.The results are as following.1. The analytic expression of a continuous plough bottom surface is formed by the principle of a moving line which moves continuously along the horizontal trace, turns around the xaxis and at the same, continuously changes its space angle formed with the xaxis. On the basis of this principle the plough bottom surface of model 1LD230 mounted heavyduty twofurrow plough had been designed. This plough achieved a good performance and already passed the test.2. The analytic expressions of mouldboard shin, top, and wingsides (including plough share and mouldboard) have been established and when these are solved simultaneously with the analytic expression of a plough bottom surface can determine the peripheric coordinate values of moving lines, and form a complete outline of the plough bottom surface.3. The performance curves and templet curves deduced from the analytic expressions of continuous plough bottom surface are continuously differentiate, and the deduction or computation is simple and convenient. It established some bases for studying physical expressions of trace of soil motion and rational design of plough bottom surfaces.  作者通过试验,提出了用单一的曲面方程连续描述犁体曲面的方案,取得如下结果。 一、用一直元线沿着一条连续的水平迹线移动,二面绕x轴转动,同时改变与x轴的空间夹角的原理建立了连续的犁体曲面解析式,实践证明行之有效,而且所设计的1LD230悬挂重型二铧犁犁体曲面性能良好,并已鉴定定型。 二、建立了犁胫线、顶边线、翼边线等解析式,以此与曲面解析式联解,可以得到元线的边界坐标值,构成具有完整轮廓的犁体曲面。 三、从连续描述的犁体曲面解析式导出的性能曲线、样板曲线均连续可微,且推导运算简便。为探索土壤运动轨迹的物理方程及犁体曲面有理设计创造了条件。   << 更多相关文摘 
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