ウェッジ積∧、外微分d、ホッジ双対* (18ﾚｽ)
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8: 01/18(日)06:01:01.03 ID:C7kD923L(1) AAS
*dx = dy∧dz
*dy = dz∧dx
*dz = dx∧dy

*(dx∧dy) = dz
*(dy∧dz) = dx
*(dz∧dx) = dy

(adx + bdy + cdz)∧(a'dx + b'dy + c'dz)
= (bc' - b'c)dy∧dz + (ca' - c'a)dz∧dx + (ab' - a'b)dx∧dy

*((adx + bdy + cdz)∧(a'dx + b'dy + c'dz))
= (bc' - b'c)dx + (ca' - c'a)dy + (ab' - a'b)dz

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上下前次1-新書関写板覧索設栞歴

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