若要插值多条相交曲线只需在交点处构造全对称三角网格。
If the interpolated curves intersect at point v, we can design a full symmetric triangle mesh at point v.
这是汽化线，有时汽化和液化曲线没有完全分开，因为某些原因，这两条线会在某个点相交，非理想情况。
And the bubble line. Sometimes, instead of having a nice separation between the bubble and the dew line, there's a special point which for some reason those two curves meet. Non-ideality.
按照数学家们的分类，三叶形是最简单的纽结。 所谓纽结，它是三维空间中不与自己相交的封闭曲线，或者说是三维空间中与圆周同胚的图形。
The trefoil is the simplest knot in mathematicians' classification.
给定一个空间里的椭圆曲线，一个来参数化这曲线的有趣示例是,表示为圆柱体与斜面的相交部分。
Say that I give you an ellipse in space as maybe the more, well, one exciting way to parameterize an ellipse in space is maybe the intersection of a cylinder with a slanted plane.
(几何)一个平面和一个圆锥体相交而生成的曲线。
(geometry) a curve generated by the intersection of a plane and a circular cone.
一个平面与正圆锥体的底部相交而形成的不闭合的曲线。
An open curve formed by a plane that cuts the base of a right circular cone.
从图形上看，均衡数量是供给曲线和需求曲线相交时的数量。
On a graph it is the quantity at which the supply and demand curves intersect.
从图形上看，均衡价格是供给曲线和需求曲线相交时的价格。
On a graph, it is the price at which the supply and demand curves intersect.
由完全相交的一个圆锥体和一个平面的交集所形成的闭合的平面曲线。
A closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it.
通过例子对一阶隐式方程积分曲线之相交性进行了直观研究。
The first order hidden equation integral curve's intersection has been studied through the example.
这条曲线都是在平均总成本和平均可变成本的最低点分别与它们相交。
It is drawn to intersect both average total cost and average variable cost at their lowest points.
假想这条曲线具有这样的的性质，每一条垂线与其至多相交一点。
We assume this curve has the property that every vertical line intersects it once at most.
但是圆筒与圆筒咬合相交的话就生成了复杂的曲线。
But the cylinder and the cylinder intersect, then bite on the generation of complex curve.
双曲线逐渐接近它的渐近线但不相交。
为避开三相交流异步电动机和变频器的数学模型，利用飞升曲线法简单近似确定各环节的数学模型。
For avoiding the math models of three-phase AC electromotor and frequency inverter, adopt the simple similarity of ascending curve method to ensure the math models of every loop.
两个曲面相交得到一条曲线，曲线与第三个曲面的交点既是用户的三维坐标。
Two of them intersect in a curved line which in turn intersects with the third hyperboloid in a point corresponding to the unknown three-dimensional user position.
本文提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线轨迹是一个直纹四次曲面，并讨论了二次曲线分别为椭圆、双曲线和抛物线时，形成的曲面的形状特征。
In this paper, it is presented that the locus of a line crossedwith each of two guide lines and a guide conic not being on a commonplane is a ruled surface of fourth order.
本文提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线轨迹是一个直纹四次曲面，并讨论了二次曲线分别为椭圆、双曲线和抛物线时，形成的曲面的形状特征。
It is presented that the locus of a line crossed with each of two guide line and a guide conic not being on a common plane is a ruled surface of fourth order.
本文提出了由一条二次曲线和与该二次曲线不共面的两条异面直线为导线，与该三导线均相交的直线轨迹是一个直纹四次曲面，并讨论了二次曲线分别为椭圆、双曲线和抛物线时，形成的曲面的形状特征。
It is presented that the locus of a line crossed with each of two guide line and a guide conic not being on a common plane is a ruled surface of fourth order.
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