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  • 如果对代码进行向量化,由于您正在将这些值当作字节进行处理,这意味着每条指令都要一次操作16 个值!

    If you vectorize this code, since you are treating the values as bytes, that means that each instruction will operate on 16 values at once!

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  • 它们与标准正交笛卡尔向量相关。

    They are related to the orthonormal Cartesian vectors.

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  • 谷歌的网页级别是特征向量中心性度量的一个变体。

    Google's PageRank is a variant of the Eigenvector centrality measure.

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  • 用我们喜欢的向量场来点乘它。

    We dot our favorite vector field with it.

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  • 现在,梯度向量是什么呢?

    Now, what's the gradient vector?

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  • 那相当于法向量指向上。

    That corresponds to normal vector pointing up.

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  • 那意味着法向量指向下。

    That means your normal vector points down.

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  • 法向量指向上,这里我们知道它是什么意思。

    The normal vector pointing up, here we know what it means.

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  • 故我们是把位置向量,分解为简单向量的和。

    So, we want to decompose the position vector into a sum of simpler vectors.

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  • 那么向量在这,--,这向量是。

    OP So, this vector here -- This vector here is vector OP.

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  • 你用了法向量i,而不是竖直向量。

    K instead of using the vertical vector k, you use the normal vector I.

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  • 它与向量场成比例。

    It is proportional to this vector field.

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  • 这些则包括向量。

    These involve vector quantities.

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  • 有一个向量场来描述每一个点上的向量。

    We have a vector field that gives us a vector at every point.

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  • 所以,梯度向量是垂直的。

    So, the gradient is perpendicular.

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  • 速度向量,是位置向量关于时间的导数。

    So, the velocity vector is the derivative of a position vector with respect to time.

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  • 这是平面法向量,和沿直线向量的点积。

    It's the dot product between the normal vector of a plane and the vector along the line.

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  • 一个法向量与任意常数相乘,还是法向量。

    You can just multiply a normal vector by any constant, you will still get the normal vector.

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  • 指向和梯度向量相反。

    It points opposite to the gradient.

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  • 事实上,给定的向量场与法向量是相互平行的。

    In fact, our vector field and our normal vector are parallel to each other.

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  • 我们研究的是,向量场在曲线法向量方向的情况。

    And we looked at the component of a vector field in the direction that was normal to the curve.

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  • 如果说函数的梯度是向量,那么向量场的散度就是函数。

    So, if the gradient of a function is a vector, the divergence of a vector field is a function.

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  • 这门课我们首先学习的概念是向量,以及怎样做向量的内积。

    So, the first things that we learned about in this class were vectors, and how to do dot-product of vectors.

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  • 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。

    One place where it comes up is when we try to understand whether a vector field is conservative.

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  • 这把一个向量场的线积分,和另外一个向量场的曲面积分联系起来。

    This relates a line integral for one field to a surface integral from another field.

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  • 最后,还要释放分配给向量的内存并把NULL向量返回给调用者。

    Lastly, the memory allocated to the vector is also freed and NULL vector is returned to the caller.

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  • 然而,问题是向量处理会假设每条指令都可以适用于向量的所有元素。

    However, the problem is that vector processing assumes that each and every instruction will be applied to all elements of the vector.

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  • 然而,问题是向量处理会假设每条指令都可以适用于向量的所有元素。

    However, the problem is that vector processing assumes that each and every instruction will be applied to all elements of the vector.

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