This paper focuses on the surface-surface intersection problem in surface border modeling.
研究曲面边界建模过程中的曲面求交问题。
In the calculation, the DP model is chosen to consider the non-linearity of rock and the status non-linearity of rock-structure interface adopts the surface-surface contacting element.
计算中岩体采用DP模型，利用面面接触单元考虑岩体与结构交界面的状态非线性。
It is held there by the force of surface tension without which water would drain instantly from any wet surface, leaving it totally dry.
它是由表面张力的力量保持的，没有它，水会立即从任何潮湿的表面流失，使它完全干燥。
If the glass were kept hot enough, it would flow over the molten tin until the top surface was also flat, horizontal and perfectly parallel to the bottom surface.
如果玻璃保持足够的温度，它就会在熔化的锡中流动，直到顶部表面也变得平整、水平，与底部表面完全平行。
The surface mark of an established plume is a hot spot—an isolated region of volcanoes and uplifted terrain located far from the edge of a surface plate.
一个已形成的烟羽的表面标志是一个热点——一个远离表面板块边缘的火山和隆起地形的孤立区域。
The surface-to-surface missiles were fired from the west of the capital.
从首都西部发射了多枚地对地导弹。
Complex life evolved on the Earth's surface, but not on Mars or other planets in the solar system because on those planets, early surface life was killed by UV radiation.
复杂的生命在地球表面进化，而不是在火星或太阳系的其他行星上，因为在那些行星上，早期的地表生命被紫外线杀死了。
The hyperbolic surface, which has so-called negative curvature because its surface curves up and down at the same time, like a saddle.
双曲曲面，即通常所称的负曲率，因为它的表面同时向上和向下弯曲，就像一个马鞍。
If the water table intersect the land surface, groundwater will flow out onto the surface at springs, whether to be collected there or to subsequently flow farther along a drainage.
如果地下水位与地表相交，地下水将在泉水处流出地表，聚集于此或是随后沿着排水系统进一步流动。
The bigger the animal is, the lower its surface-to-volume ratio; for every ounce of body mass, there is proportionately less surface through which heat can escape.
动物体型越大，其体表体积比越低；躯体每增加一盎司的重量，所能散发热量的表面就成比例减少。
Because the surface of the water table is not flat but instead rises and falls with topography, groundwater is affected by gravity in the same fashion as surface water.
由于地下水位不是平面的，而是随着地形起伏的，所以地下水和地表水一样受到重力的影响。
And when I am on the curve I am on the boundary of the surface, so there is a direction along the surface that is the curve and the other one is pointing into the surface.
当我在曲线上时，我是在曲面的边上的，所以一个是沿着曲面的边指，那个就是曲线的定向，另外一个就要指向曲面里面的那个方向。
The folded, meandering surface allows the brain to pack in more surface area — and thus, more processing power — into the limited confines of the skull.
这种褶皱、蜿蜒的表面使得人脑，在有限的头骨空间里，具有更大的表面积——进而，具有更强的数据处理能力。
It is a truism that scientists know more about the surface of Mars than they do about the surface of the Earth, but it is also true.
科学家们对火星表面的了解甚于他们对地球表面的了解，这句话听上去难免觉得有些老套，但也是事实。
It generates small particles with random size and velocity and lets them fall onto the surface where they settle, increasing surface height in the place a bit.
它产生随机大小和速度的小粒子，让它们落到图像表面上，使图像产生表面高度小小渐增的效果。
Sunlight reflecting off the surface of the water is turning the water's surface silver in the lower left corner.
在图的左下方，从水面反射的阳光使这部分海水表面显现银色。
Analyses of Huygen's images and data show that Titan's surface today has intriguing similarities to the surface of the early Earth.
对惠更斯号发回的图像和数据分析显示目前土卫六的表面与原始地球表面有奇妙的相似。
Space can have positive curvature, like the surface of a sphere, or negative curvature, like the surface of a saddle.
空间可以向球面一样有正的曲率，也可以像马鞍面一样有负的曲率。
So, that means you have to figure out what's the bottom surface of your solid, and what's the top surface of your solid?
这意味着你必须指出,立体图形的底部的曲面，和立体图形的顶部曲面？
Diffuse color reflects light that comes from one direction, so it's brighter if it comes squarely down on a surface that if it barely glances off the surface.
漫射光色反射从一个方向来的光，因此对于径直照射的表面来说就比仅是光线斜射过的表面更为明亮。
When they travel to the surface of the Earth, the surface becomes positively charged.
当它们穿行到地球的表面时，地表成了带正电的带电体。
Next you'll be given the option of checking the media surface — we're talking the CD media surface here, not the hard disk surface.
接下来您遇到的选项是检查介质表面-这里我们说的是CD介质表面，而不是硬盘表面。
And, the way in which you would compute the surface integral is just as with any surface integral.
计算这个曲面积分的方法，和其他任何曲面积分的一样。
That stands for the surface area element on this surface.
它表示曲面上的面积元素。
Double integral of F.dS or F.ndS if you want, and to set this up, of course, I need to use the geometry of the surface depending on what the surface is.
就是做F·dS或是F·ndS的二重积分，为了能建立积分，需要用到曲面的几何性质，这与该曲面的类型有关。
Suppose I have a curved surface-- literally, a surface here in 26.100, which sort of looks like this...
假设有个弯曲的平面-,字面上的，弯曲平面，大概是像。
We know that the gradient is perpendicular to this vector that's tangent to the level surface What about other vectors tangent to the level surface?
我们知道梯度向量垂直于这个向量，而速度向量是相切于等值面的，其他相切于等值面的向量，又如何呢？
We move things around from surface to surface not quite knowing what to do with them.
我们只是将东西从这放到那，而不知道该怎么去处理他们。
We move things around from surface to surface not quite knowing what to do with them.
我们只是将东西从这放到那，而不知道该怎么去处理他们。
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