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1·It is hard to draw in two dimensions a picture of a vector function in three-dimensional space.

在两维图上画三维空间的矢函数图形是件难事。

2·From this sense, utility vector function to measure the degree of suitability of each proposal is presented.

在这个意义上，定义效用向量函数来度量每一处理方案的适合程度。

3·Using circle vector function and medium rack as tools, the equation of contact trace is deduced, and its characteristic is discussed.

以圆矢量函数和媒介齿条为工具，推导了接触迹方程，讨论了接触迹的特性。

4·Using the definition and character of vector function, the field is separated to TM wave and TE wave relative tor without complex vector-differential operation.

利用球矢量波函数的定义及性质，提取出场的径向分量，将初级场分解为相对于径向的TE波和TM波，避免了复杂的矢量微分运算。

5·Since the MASS vector functions are much faster (by a factor of up to about 30) than a repeated call to a standard library function, the resulting performance improvement can be substantial.

因为MASS向量函数要比对一个标准库函数的重复访问快很多(倍数接近30倍)，所以最后得到的性能改善效果将会是惊人的。

6·With the tool of circle vector function, the involute helix profile with error is given, and with the media of engagement line, the error compensation mathematical model is established.

以圆矢量函数为工具，推出了误差条件下的渐开螺旋面方程，并以啮合线为媒介，建立了测量蜗杆误差补偿的数学模型。

7·So, here I have a contour plot of a function, and I have a blue vector.

我这里有一个函数的等值线图，还有一个蓝色的向量。

8·The function in Listing 20 returns a vector of vectors. This is because each document could generate zero to many map entries, and each map entry is represented as a vector.

清单 20 中的函数返回矢量的矢量，这是因为每个文档都可能生成零到多个映射条目，而每个映射条目都被表示为一个矢量。

9·OK, so if I give you a unit vector, you can ask yourself, if I move in the direction, how quickly will my function change?

也就是，如果我给你一个单位向量，试问，我沿着这个方向移动，我的函数值会变化得多快呢？

10·The curl of a vector field in space is actually a vector field, not a scalar function. I have delayed the inevitable.

空间中的向量场的旋度，是一个向量场，而不是一个标量函数，我必须告诉你们。