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这些方程描述了某些化学物质在动物发育过程中如何相互作用,我们发现这些方程解释了这些单位的模式。
These equations describe how certain chemicals interact during animal development and we found that these equations explain the patterning of these units..
为什么需要这些方程?
Why do we need these rails?
这些方程是不完整的。
These directions are incomplete.
通过坐标变换这些方程可以变为标准形式.
Through change of coordinates these equations can be put in standard forms.
这些方程可以用不同方式来书写。
Such codes can be written in different ways.
这些方程很有效,直到观察者接近黑洞中心或奇点。
These equations are effective until the observer approaches the center or singularity of the black hole.
大多数这些方程都可以在任何统计学教材中找到。
Most of these equations can be found in any statistics text.
这些方程总是有m的斜率,在y=b处穿过y轴。
These equations always have a slope of m and cross the y axis at y= b.
即使是这样一个非常简单的系统,这些方程已经相当复杂.
And for a very simple system like this, these equations are already pretty complicated.
这些方程的解通常包括时变或瞬态部分以及常数或稳态部分。
The solution to these equations usually contain a time varying or transient part as well as constant or steady state part.
虽然这些方程是19世纪写下的,我们对它们的理解仍然极少。
Although these equations were written down in the 19th century, our understanding of them remains minimal.
认识到这些方程是等价的是伟大的,但不是特别有用。
Recognizing these equations are equivalent is great, but not particularly useful.
通过对这些方程进行适当的简化和假设,可以得到雷诺应力模型。
With appropriate simplifications and assumptions, these equations can result in so-called Reynolds-stress models.
这些方程通常用来描述两个物种相互作用的生物系统的动力学。
These equations are typically used to describe the dynamics of biological systems in which two species interact.
这些方程通常用来描述两个物种相互作用的生物系统的动力学。
These equations are commonly used to model the dynamics of biological systems in which two or more species interact.
这些方程应该能向任何人说明,数学不仅仅只是公式的记忆。
These ten equations should convince anyone that there is more to mathematics than the memorization of formulas.
而且,所有这些方程都非常简单,并且在空间和时间方面涉及相同的少量数量导数。
Moreover, all these equations are quite simple and involve the same few derivatives of quantities with respect to space and time.
在该章中介绍的方程在任何时候都有效,而且这些方程的解总是连续的。
The equations introduced in that chapter applied at all times and the solutions to those equations were always continuous.
在COMSOLMultiphysics®软件中,我们使用电分析接口和“电极表面”边界特征来描述这些方程
In the COMSOL Multiphysics® software, we use the Electroanalysis interface together with an Electrode Surface boundary feature to describe these equations.
此外,所有这些方程都很简单,涉及几个和空间、时间有关的数量的相同导数。
Moreover, all these equations are quite simple and involve the same few derivatives of quantities with respect to space and time.