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r, <br />87 gyp. 7 <br />m 2 2 2 <br />{ e-u du - -e-u - ~ 2ue-u du <br />} 2 u u <br />x u x <br />~ ) (~_) <br />2 <br />x x <br />- ~ e- (oat ~ - j + ~ 2 ~ (~,e-u2du <br />x ~- ~. <br />0 <br />In obtaining this result use has been made of the relation <br />2 <br />r <br />o <br />Then by substitution <br />x2 x2 ( x ) <br />f - - ~ - ~ e (4at~ + ~ e- (4at~ - ~. + ~ 2 ~ e-u2du <br />2n x x ~ ` <br />0 <br />or 2 (~} -u2 <br />f=2 I- ~ ~ e du (7-3J <br />x 0 <br />Values of the integral shown here maybe.obtained from Table _8. _When <br />' x -> 0 f -; 2 as it should. It Will appear later that a formula of this <br />general type will hold for a point source, a line source of finite length <br />or a line source of infinite length. <br /> <br />