The result tallies with that obtained by way of setting up vector field and leading into vector magnetic potential in electrodynamics.
其结论此方法与电动力学中建立矢量场并引入矢量磁位的方法所得结果相吻合。
But the author explored a new way to solve this problem, which is to wake up vector and make us of the internal product to go on solution.
构造向量，利用向量内积进行求解，为函数最值问题的解决，开辟了一种新的思路和方法。
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。
That one would be pointing kind of to the back slightly up maybe, so like that. And now your middle finger is going to point in the direction of the normal vector.
曲面的方向有点向后向上,应该差不多像这样，那么现在你的中指,指的方向就是法向量的方向了。
In addition, most of the graphical elements are provided in vector format, allowing you a lot of room to scale up for high-resolution presentations.
此外，大部分图形元素是矢量格式的，让你在高分辨率演示上提供很大空间。
This is a normal vector of the same length as n, well, up to sign.
这是与N长度相同的法向量，只是符号不定。
That would be an example of a vector field that comes up in physics.
这是物理学中向量场的例子。
And, if I look carefully at the orientation convention, Stokes I have to take the normal vector pointing up again.
如果我仔细考虑了方向的约定，定理告诉我们，Stokes, theorem, tells, me, that，法向量必须再次指向上。
And so the normal vector is going towardS what is up for me.
所以法向量指向我的上方。
The normal vector pointing up, here we know what it means.
法向量指向上，这里我们知道它是什么意思。
It is this guy.If you continue to follow your normal vector, see, they are actually pointing up and into the paraboloid.
就是这它了，如果你继续跟着法向量看，会看到它们实际上，指向上并且指向抛物面里。
That corresponds to normal vector pointing up.
那相当于法向量指向上。
The normal vector is just sticking straight up or straight down.
从而法向量的方向是竖直向上或向下的。
Now take your disk with its normal vector sticking up.
现在我们拿这个法向量向上的圆盘。
To combat this, we need to a few more pieces to the puzzle, the first of which is the up-to-dateness vector (UTD vector, or just UTDV).
为防止此种情况，我们需要再多用几个矢量来解决难题，第一个是最新矢量（UTD 矢量或 UTDV）。
Normal vector points up. Imagine that you put your thumb along c, your index towards s and then your middle finger points up.
法向量向上，想象你把你的大拇指沿着C放，食指指向s，那么你的中指就会向上。
A pair of computer science researchers have come up with an algorithm that can take a low-resolution piece of pixel art and upscale it accurately to vector graphics.
最近两位计算机科学的研究人员已经提出了一个算法，这个算法能用于提取出像素图形的低分辨率部分，提升其分辨率准确地适合向量图形。
One place where it comes up is when we try to understand whether a vector field is conservative.
当需要判断一个向量场是否保守向量场时,旋度也会派上用场的。
Let me show you a picture. The rule is if I walk along C with S to my left then the normal vector is pointing up for me.
给你们看张图片，“相容”就是,如果我沿着C走，而且S在左边，法向量就是朝上的。
In scalar code on the spe, declaring scalar values as vectors and vector Pointers (even if you aren't using them as vectors) can speed up code because it doesn't have to do unaligned loads and stores.
在SPE上的标量代码中，将标量值声明为向量和向量指针(即使没有将它们作为向量使用)可以加速代码的执行，因为这样就不会执行非对齐的加载和存储操作。
Vector images can be blown up to any size without loss of quality. Raster (or Bitmap) images become jagged when made larger.
矢量图无论放大多少都不会损失图片质量，而光栅图(或位图)一旦放大就会出现锯齿。
Then, if you had a flat disk with the curve going counterclockwise, the normal vector would go up.
就会得到一个被逆时针曲线包围的圆盘，法向量向上。
And, if you pay attention to the orientation conventions, you'll see that you need to take it with normal vector pointing up.
如果你注意到了方向的约定，你会发现它的法向量是向上的。
Well, if you followed what we've done there, you know that the normal vector compatible with this choice for the curve C is the one that points up.
如果一步一步的把该做的都做了，你会知道，与C相容的法向量,是向上的。
Well, to get our conventions straight, we should take the normal vector pointing up for compatibility with our choice.
为了配合约定习俗,选择相容的、指向上的法向量。
This is a simple procedure to free up the memory allocated by the runtime to the interface ID vector structure.
这个简单的例程释放运行时分配给接口id向量结构的内存。
So, now we can answer the initial question because vector OP, well, we just add up OA, AB, and BP.
现在我们可以回答最初的问题了，我们把OA,AB和BP加到一起。
And, in fact, if you try to follow your normal vector that's pointing up, it's pointing up, up, up.
事实上，如果你随着你的法向量，一直朝上走。
An SPU USES vector operations itself and can thereby execute up to eight floating point instructions per clock cycle.
SPU本身使用向量操作，每个时钟周期可以执行多达8条浮点指令。
Flex stands out from most other RIA-based technologies because it supports vector-based drawing and direct embedding of SVG mark-up files.
Flex优于大部分基于RIA的技术，因为它支持基于矢量的绘制和直接嵌入SVG标记文件。
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