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188宝金博页面版: QuaternionsandGroups - Brown University
内容提示: Quaternions and GroupsRich SchwartzOctober 16, 20141 What is a Quaternion ?A quaternion is a symbol of the forma + bi + cj + dk,where a,b,c,d are real numbers and i,j,k are special symbols that obey thefollowing algebraic rules.i 2 = j 2 = k 2 = ?1,ij = k, jk = i, ki = j,ji = ?k, kj = ?i, ik = ?j,ix = xi, jx = xj, kx = xk, for all real xQuaternions are added componentwise, like vectors. For instance(3 + 4i + j) + (7 + 2j + k) = 10 + 4i + 3j + k.Quaternions are multiplied according to the foil method. J...
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