另一

Imagine that you would like to implement the hypothetical fubar statistic, and that you know two ways to calculate fubar on a bunch of samples: an accurate but slow calculation and an approximate but fast calculation.

想象一下你要实现假设的 fubar 统计，你知道两种方法来计算一组样本的 fubar：一种方法精确但计算速度慢，另一种方法近似但计算速度快。

So while, within a certain range, computational processes are independent of the hardware they run on (one machine can emulate anything another can), there are real limits to the fungibility of processes.

那么当处于某一特定的范围内，计算的过程独立于它们赖以进行计算的硬件（一台机器可以仿效另一台机器能做的一切），而过程的可替代性有真实的限制。

Migratory birds are known to use the geomagnetic field as a source of compass information.

关于候鸟是怎样利用地球的磁场辨别方向的有两种不同的解释：一种解释涉及基于由生物产生的铁磁颗粒的受体；另一种解释是一种基于一个磁敏感化学反应的"光化学罗盘"。

Average annual Growth Rate Two methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代表平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Annual Average Growth Rate two methods for calculating annual average growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called level approach or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval withthat of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Two of the papers--one authored by Bruce Kleiner and John Lott of the University of Michigan, Ann Arbor, the other by John Morgan of Columbia University and Gang Tian of the Massachusetts Institute of Technology in Cambridge--stopped short of the geometrization conjecture, because Perelman's explanation of the final step had been too sketchy.

三篇解释工作中的两篇，一篇出自安娜堡-密歇根大学的Bruce Kleiner与John Lott，另一篇出自哥伦比亚大学的John Morgan和剑桥麻省理工学院的田刚，他们在几何化猜想上还差一点，因为佩雷尔曼的最后一步太简略。

The GKS stability theorem for one-dimensional model of hyperbolic initial and boundary value problem, Trefethen's explanation and extension based on the concept of group velocity are generalized firstly. Another possible high-frequency instability mechanism in numerical realization of MTF is pointed out based on his explanation and extension, namely, coupling effect of outgoing harmonic wave along one direction and node motion in the other directions can reverse the energy propagation in multi-dimensional discrete grids.

本文概述了—维双曲型偏微分方程组初边值问题数值稳定性的GKS定理及Trefethen基于群速度概念对这一定理的解释和推广；并应用Trefethen的解释和推广指出了MTF在数值实现中可能出现的另一种高频失稳机制，即在多维离散网格中，沿某一空间方向的外行简谐波，由于与其他空间方向节点运动的耦合效应可以使能量传播方向反向。

"We came here on business," said Stamford, sitting down on a high three-legged stool, and pushing another one in my direction with his foot."My friend here wants to take diggings; and as you were complaining that you could get no one to go halves with you, I thought that I had better bring you together."

"我们到你这儿来有点事情，"斯坦弗说着就坐在一只三脚高凳上，并且用脚把另一只凳子向我这边推了一推，接着又说，"我这位朋友要找个住处，因为你正抱怨找不着人跟你合住，所以我想正好给你们两人介绍一下。"

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷