Abel's theorem and the allied theory, including the theory of the theta functions (1897)
Baker, H. F. (Henry Frederick), 1866-1956 · Cambridge : University Press · leaf 585
Fig. 13. The change, due to the substitution C, which is given by [6),.,l] = &)^,i -&),.,!, is to be effected by drawing the loop [cij] in such a way that a circuit of it(which gives rise to the value [2a),., J for the integral u,.) is equivalent to acircuit of the original loop (oj) taken… … ¥10. 14. For the transformation D the only change introduced is that given by [&),.,i] = co,.,i — <y,-,2, [«<•, 2] = fw)-,2 - f»M> and this is effected by drawing the loops [aj, [a.,], so that a circuit of 337] OF PERIOD LOOPS. 561 [«i] is equivalent to a circuit of the (original) loop…
Geometry, Algebraic · Functions, Theta
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