算出

The detection method introduced in this paper is as follows: using some difference operator, calculating the gradient variation based on the image brightness, so as to detect the edges, the main operators used are Robert, Sobel, Prewitt, LOG, Kirsch, etc.

本文介绍的检测方法是通过一些差分算子，由图像的亮度计算其梯度的变化，从而检测出边缘，主要有Robert、Sobel、Prewitt、LOG、Kirsch等算子。

In the second chapter we first present a decomposition of divided difference operators on non-uniform knots.

在本文的第二章我们从差商算子分解的角度出发，首先给出差商算子的细分格式，然后进一步给出了非均匀B样条级数的细分算法。

We prove an extension of the representation theorem of the convex pricing rule. We also give the corresponding probabilistic repre-sentation theorem of the convex pricing rule in a financial market with convex constraints.

我们证明了凸价格算子相应的表示定理，并给出了在凸约束的金融市场下凸价格算子的一个概率表达式。

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

But thevectorial graphical method may be used with advant...

本文对于矢量图解计算的具体程序列举了算例；对于本文给出的一般性解答的应用，也列举了算例。

While waiting for the hors d'oeuvre she opened her bag, took out a slip of paper and a pencil, and added up the bill in advance.

在等凉菜的时候，她打开手提包，拿出一小块纸和一支铅笔，事先算好钱，从小钱包里掏出来，外加小费，算得准确无误，摆在眼前。

First of all, the report introduced evolution, achievments and problems in the study of anisotropy in the inner of earth. The first-order hyperbolic system of equations is work out, which is used to describe the wave motion in 2D transversely isotropic media. Utilizing the characteristics of free-divergence, We have imposed MacCormack theme that is used to simulate multicomponent records in anisotropic media and have developed a fast high order vectorized finite-difference algorithm adapted for the vector supercomputer.

本文首先阐述了地球内部介质各向异性研究的沿革、成就和问题，接着给出了描述二维横向各向同性介质中波动的一阶双曲型方程，利用其自由发散特性，构制了各向异性介质中多波多分量地震记录数值模拟的MacCormack算式，导出了适用于并行计算的二维横向各向同性介质中波动的有限差分模拟算子，该算子具有可并行化计算、相位差小等优点。

In chapter 1, as a preparative knowledge, the main results about symmetry theoryand Wus method are introduced, in addition some fundamental definitions, such as trans-formation group, infinitesimal operator, prolongation, first integral, infinitesimal criterionfbr invariance of an ODE, characteristic set are recalled.

第一章中作为预备知识简单介绍了对称理论和吴方法，并给出了一些基本概念和理论，如变换群、无穷小算子、算子延拓、首次积分、微分方程在对称下不变的判别准则和微分特征列集算法。

The well-known invariant subspace problem is A long-standing problem in operator theory,which has been to determine whether every operator $T$ on a Banach space $X$ must have a nontrivial invariant subspace.

不变子空间问题是一个尚未解决的问题， Enflo反例所给出的没有不变子空间的算子不为任何算子的共轭。

In the third part we investigate a kind of two-dimensional non-product-type operators on continuous function space and some important properties and a locally inverse theorem are obtained.

其中第三节在连续函数空间上研究这类非乘积型二元算子，讨论了该算子的一些重要性质，给出局部意义下的一个逆定理。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。