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Unformatted text preview: nected by the identity This e-6 identity is used sufficiently frequently to warrant special attention here. It can be verified by actual trial. Finally, we shall extend the summation convention to differentiation formulas. Let f (xl, x2,. . . , P) be a function of n variables x1 , x2,. . . , xn. Then its differential shall be written as The Kronecker delta and the permutation symbol play important roles in vector or tensor operations in rectangular Cartesian coordinate system. The dot product of two vectors x = ( ~ 1 ~ x 2 , x3) and y = (yl, y2, y3) is a scalar c = 2 . y = ZlYl + x2y2 + x3y3,...
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- Fall '05