dot product

1. These two vectors are perpendicular exactly when their dot product is zero.
   当点乘的数量积为零时，这两个向量垂直。
2. The dot product, being the product of three scalars, is a scalar.
   点积是三个标量的乘积，所以是个标量。
3. And I can rewrite this in vector form as the gradient dot product the amount by which the position vector has changed.
   可以把这些用向量形式重新写下来，就是梯度向量和位置改变量的点积。
4. We can just find the angle using dot product So, how would we do that?
   可以直接用点积来，找到这个角的大小，那么，怎么找呢？
5. You just find a formula for ndS dot product, substitute, evaluate.
   只需要找到一个ndS内积的替代的表达式。
6. Use the vector dot product to find the obtuse angle between two diagonals of a cube.
   用矢量点积求立方体的两条对角线所夹的钝角。
7. Now you have two vectors, but the vector dot product requires normalized vectors to return usable results.
   现在你有两个向量，向量的点乘要用到标准化向量。
8. That is the dot product.
   这就是点积。
9. Design and analysis of private-preserving dot product protocol under malicious model
   恶意模型下保密点积协议的设计与分析
10. It's the dot product between the normal vector of a plane and the vector along the line.
    这是平面法向量，和沿直线向量的点积。
11. If two vectors are associated with each other as a dot product, the result is a scalar.
    如果两个向量以标量积结合，其结果为一标量。
12. I'm going to teach you just like with the dot product two methods.
    跟点积一样-，我会教你们-，两种方法。
13. Once you have such a formula, you do the dot product with this vector field, which is not the same as that one.
    一旦你得到一个这样的计算式，你对向量场做点积，这和前面这个不一样。
14. Let us take a down-to-earth example of a dot product.
    举一个点积的，现实例子。
15. If I take the dot product But now, what does it mean that the dot product between OP and A is zero?
    如果我用OP·A我就得到了，那么OP和A的点积是0代表了什么呢？
16. Since scalars are independent of the coordinate system, the dot product of two vectors is called a scalar invariant.
    因为标量与坐标系无关，故两个矢量的点积称为标量不变量。
17. The dot product between two rotations.
    两个旋转之间的点乘。
18. Now comes my method number two as we had with the dot product, is a geometrical method.
    下面是方法，像点乘中一样，是个几何方法。
19. The dot product of a pseudovector and a vector is called a pseudoscalar.
    一个赝矢量和一个矢量的标识称为赝标量。
20. Well, we've learned how to detect whether two vectors are perpendicular to each other using dot product.
    呃，我们学过怎么用点乘，来判断两个向量是否垂直。
21. So, that's going to be one of the main uses of dot product.
    呃，这就是点乘的一个主要用途。
22. OK, so now if we have a dot product that's zero, that tells us that these two guys are perpendicular.
    所以我们现在有了一个点积为，这告诉我们两者是垂直的。
23. So, product rule is OK for taking the derivative of a dot product.
    那么乘积法则对点乘求导没问题。
24. And work is a dot product between force and the direction of motion, perpendicular to each other.
    压力和，运动方向的，数量积彼此垂直。
25. What we will do is just, at every point along the curve, the dot product between the vector field and the normal vector.
    我们要做的是，沿着曲线的每一点上，取向量场和法向量的点积。
26. But now the power that I have to generate is the dot product between the force and the velocity.
    但现在我要产生的，功率是力和速度，间的标量积。
27. The dot product of the specified vectors.
    指定的向量的点积。
28. There is another way that you can find the dot product.
    另一个定义，点积的方法。
29. Then according to conceptual quantified relations in Chinese dictionary, subject importance of concepts can be got by computing dot product of weight vectors and related vectors.
    然后利用词典中词语之间量化关系，通过对概念的相关向量和权重的向量乘积得到每个概念的主题重要度；
30. We will assume that you know what the chain rule is and what a dot product is, and a partial derivative, etc.
    我们将假定您已经知道链式法则、点积、偏导数等概念。

noun

1. a real number (a scalar) that is the product of two vectors

   Synonym:    scalar productinner product