"The tobacco industry continues to spread its deadly product as the vector of the tobacco epidemic," he said.
他说：“烟草工业继续向世界广泛推销它们的致命产品，成为烟草疾病的最大催动力。
OK, now, so there's an interesting thing to note, which is that we can use the usual product rule for derivatives with vector expressions, with dot products or cross products.
还有个很有趣的现象要注意一下，就是我们可以用乘积法则,对向量表达式求导，无论是点乘或叉乘。
Well, in physics, momentum is a vector, and it is a product between the mass of a particle and its velocity.
物理中，动量是矢量，它产生于,由粒子的质量与速度。
Well, I wish you luck with that and we now go to a way more difficult part of multiplication and that is vector multiplication which is called "the vector product."
好了，祝你们好运，下面我们来讲，更难的乘法运算，是矢量的乘法运算，我们称之为“矢量积。”
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。
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。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
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。
And, in some cases, for example, if you know that the vector field is tangent to the curve or if a dot product is constant or things like that then that might actually give you a very easy answer.
例如，在某些情况下，如果已知向量场与曲线相切，或者内积是一个常数等等，那么结果将会很简单。
We have the cross-product of the position vector to this point times the force.
我们用这个点的，位置向量，乘以这个力。
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。
To find the surface element together with a normal vector, I would just take the cross-product between these guys.
为了找到带法向量的面元，我就取这两个的叉积。
To check the automatic spelling derivatives by-product of this inflection into vector-space approach, try a query like nathen harrington or Linda horrington.
要把变化的自动拼写派生副产品检入向量空间方法，请尝试诸如nathenharrington或linda horrington之类的查询。
I put a vector sign over here, because you have to take the cross-product between the two, so you take the... sine of this Angle has to be taken into account.
在此加一个向量标志，因为必须要，算这俩的乘积，所以，sin这个角度必须，考虑在内。
Two-and three-dimensional Euclidean Spaces are metric Spaces as are inner product Spaces vector Spaces and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
Two-and threed imensional euclidean spaces are metric spaces as are inner product spaces vector spaces and certain topological spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
Firstly, the signal subspace vector including information of mutual coupling coefficients is expressed as product of mutual coupling coefficient matrix and perfect array steering vector.
该算法首先将包含互耦系数信息的信号子空间向量表示为互耦系数矩阵和理想阵列导引向量的乘积。
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。
Multilevel fast multipole method is used to fast calculate the matrix-vector product when we solve the linear system by iterative method.
分层快速多极算法被用来加速用迭代法求解线性方程组时的矩阵向量乘积的运算。
Angular momentum: the vector product of the position vector (from a reference point) and the linear momentum of a particle.
角动量：(有参照点)的矢量和粒子线性动量的向量积。
A section theorem, a minimax inequality and a generalized fixed point theorem where the underlying space is a product space of two topological vector Spaces, are given.
给出了两个拓扑向量空间的乘积空间上截口定理，极小极大不等式及一个推广的不动点定理。
This expression not only contains the term of dot product of velocity vector and temperature gradient, but also contains the dot product of velocity vector and the pressure gradient.
该式不仅含速度矢量与温度梯度矢量的点积项，还含有速度矢量与压力梯度矢量的点积项。
The movement of the end of pattern vector on the plane indicates the quality of the product and the mould state. A threshold value of the product quality is described.
利用力的特征量组成的模式向量的端点位置刻划产品质量和模具状态，并制定了判断产品质量、模具状态的门限值。
In this thesis, first, we employ the fixed point theorem to establish the existence of solution of a class of generalized vector quasi-variational-like inequality over product sets.
本文首先研究了一类积集上的广义向量拟类变分不等式问题，使用不动点定理给出了它的解的存在性结果。
It's just something to remember: if you have a square matrix times a column vector, the product that makes sense is with the matrix on the left, and the vector on the right.
只要记住：如果你要用一个方阵，乘以一个列向量，当矩阵在左，向量在右的时候乘积才有意义。
Methods the total RNA were prepared from Z10 virus infected cells and the RT PCR product was cloned into t vector, sequenced and analyzed using DNASTAR software.
方法从Z 10株病毒感染的细胞提取总rna，将逆转录pcr扩增的产物纯化后克隆于t载体并进行序列测定，应用dnastar软件分析比较。
Two - and three-dimensional Euclidean Spaces are metric Spaces, as are inner product Spaces, vector Spaces, and certain topological Spaces.
二维和三维的欧几里德空间是度量空间。另外，内乘空间、向量空间以及某些拓扑空间等也都是度量空间。
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。
The dot product of a pseudo vector 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。
The dot product of a pseudo vector 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。
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