Editing 184: Matrix Transform
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The joke is that the author performed the rotation transformation on the notation rather than on the vector it represents. | The joke is that the author performed the rotation transformation on the notation rather than on the vector it represents. | ||
− | Rotational matrix transformations are a special case of the general linear matrix transform, which can do other things to images, including the other two affine transformations of scaling them or translating (moving) them. On a pedantic note, normally mathematics uses counterclockwise as a default, although computer graphics frequently use a clockwise default, so this may be an intentional reference. | + | Rotational matrix transformations are a special case of the general linear matrix transform, which can do other things to images, including the other two affine transformations of scaling them or translating (moving) them. On a pedantic note, normally mathematics uses counterclockwise as a default, although computer graphics frequently use a clockwise default, so this may be an intentional reference. |
So the title text may be referring to the professors going home (translation) and shrinking (scaling) from the joke; it may also refer to them going home and seeing a shrink (counselor) in despair of their student understanding. | So the title text may be referring to the professors going home (translation) and shrinking (scaling) from the joke; it may also refer to them going home and seeing a shrink (counselor) in despair of their student understanding. | ||
− | The red text in | + | The red text in xkcd volume 0 notes that mean people wrote in to state that the direction of rotation was wrong, but that's due to readers not checking the signs. Rather, the actual typo was that "shrink" in the title-text should have been "drink", but was left because of (1/2)[a1, a2]. |
==Transcript== | ==Transcript== |