Define a 3d-to-1d linear transformation (3d to the number line ) in terms of v and w Associate that transformation with its "dual vector" in 3D space Show that this "dual vector" is vxw 之所以这么做,是因为理解这个变换,能够解释清楚叉积的计算过程和几何含义之间的关系。 回忆一下2d...
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Define a 3d-to-1d linear transformation (3d to the number line ) in terms of v and w Associate that transformation with its "dual vector" in 3D space Show that this "dual vector" is vxw 之所以这么做,是因为理解这个变换,能够解释清楚叉积的计算过程和几何含义之间的关系。 回忆一下2d空间中 ...
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consider some 1x2 matrix transform 2x2 vector into number, which means 2D plane -> 1D number, which has the same calculation of dot project. consider this: in 2D x-y coordinate system project unit vector and in to diagonal line, since this transform is linear, there must exist some 1x...
and tips not on the same line: span is x-y 2D space tips line up: span is all vectors whose tips on a certain line tips at origin, span is origin single vector view as arrow in space cross origin, dealing with collection of vectors more easily viewed them as points ...
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(E) 2PS along the dashed line in (D) for the experiment (straight, black), the fitting for the phase diffusing field (long dashed, blue) given by Eq. (6) and the fitting of the eΓsfohx ≈ropmwe 1rn7fiam µacteetoVnthr.t,e(tFthoΓ)e,pFγfalpo,u...
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Linear transformations and matrices Linear transformations 讲师说道,transformations其实无非是function的fancy说法,本质上也是input和output,输入一个vector,经过某个transformation之后,得到一个输出的vector。整个过程,可以看作是输入的vector移动到了输出的vector的位置。考虑整个平面上的vector,在经过transformation之后,得到了...