借助于...

However ,the reader should realize that all properties of real numbers that are to be accepted as theorems must be deducible froom the axioms without any reference to geometry.

然而，读者应该认识到，拟被采用作为定理的所有关于实数的性质都必须不借助于几何就能从公理推出。

They are often used with deference for referential applications.

它们也可以借助于语言的所指表达意义。

With the development of quantum mechanics and solid state physics, materials design by agency of computation aid has been the trend to materials science.

随着量子力学、固体物理学、材料科学的发展，借助于计算机对材料进行设计已经成为材料科学发展的趋势。

We have revisited the problem of the solar p-modes generation by turbulent stress in outer part of the Sun, and demonstrate that the generation of acoustic waves by the turbulent convection is dominated by quadruple emission because of destructive interference between monopoly and dipole emissions.

在传统的对流混合程理论的基础上，借助于湍流的现象中雷诺数与不稳定性、湍流与涡旋等物理量的类比考虑，我们提出了一种描述湍流能谱的改进形式，认为对流区湍流能谱能够分离成时间和空间两部分。

It will probably have to be with the help of the plentiful deuterium in the ocean, used as thermonuclear fuel

这必须借助于把海洋中丰富的氘用作热核燃料。

Consequently the diathermancy was strengthened, the effect of heat transfer was improved and the flow and combustion process in the boiler has become much better. First, in this thesis the burn characteristic of the rubbish and the process of combustion in the chain boiler has been studied. A series of mathematic model has been given. This thesis carefully introduced the principle and formula of the turbulent flow model、two-equation model、radiation model、dispersed phase model and standard wall function method. The software FLUENT has been applied to simulate the temperature、pressure、velocity and mass fraction of species in the boiler furnace and stokehole. The analysis and the comparison have been done. The calculation results indicate agreement with the fact and the studies both here and abroad.

首先，本文针对SZL10-1.25-MJ造纸垃圾焚烧锅炉，结合其燃料的特性，对垃圾的燃烧特性以及层燃炉中垃圾的焚烧过程进行分析；给出一套完整的垃圾锅炉炉内传热数学模型，并分别详细阐述了湍流流动模型、双方程模型、辐射传热模型、离散相模型及标准壁面函数的原理及计算公式；借助于Fluent软件平台对炉膛内的温度场、速度场、组分浓度场及炉膛出口的温度分布、速度分布、组分浓度分布等进行数值模拟，分别从定性和定量的角度与实际情况进行了比较，得到了较满意的结果；模拟结果与国内外的很多研究能较好符合。

Here we discuss how to deal with the boundary problem of medical images by differential calculus with the computer.

边界点检测的方法很多，作者讨论用微分法借助于计算机来处理医学图象的边界问题。

Based on theσs1/8 -T curve and X-ray diffraction analysis, the changes in volume fraction,saturation magnetization and Curie temperature of α-Fe phase and residual amorphous phase with annealing temperatures as well as the correlation between them were determined.

研究了Fe(72.7)Cu1Nb2V(1.8)Si(13.5)B9非晶合金在不同温度（763—883K）退火1h后的热磁曲线借助于碰分析的方法，由σs1/B－T曲线并通过X射线衍射分析确定了合金中α－Fe相和剩余非晶相的体积分数、饱和磁化强度及Curie温度随退火温度Ta的变化及其相互关系。

The relation between Dionysos and Apollo was described as a unity of opposites in Nietzsche's theory of arts. Such a relation was merely Nietzsche's theoretical re-construction which is profoundly contradicted to the essence of the ancient Greek mythology and religion.

提 要：狄奥尼索斯与阿波罗的对立统一关系是尼采借助于古希腊的宗教和神话传说提出的一种艺术原则，但这种关系只是尼采应其时代的需要而做的一种创造，与两神在古希腊宗教体系中的实质关系还有一些差别。

By means of the plus or minus characteristic, not only simplified the position judgment between the point and the directed line segment, reduced the algorithm complexity, more eliminated drastically various unstable factors.

借助于正负性，不仅简化了点与有向线段的位置判断，降低了算法复杂性，是彻底消除了各种不稳定的因素。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失