. The Bell System technical journal . , 6/3. dGV axTo, + 0(5a-), a result which shows that /?tends to its terminal value along the vertical. It is clear analytically andgraphically that this mode persists as p ^ 0, and must be identified withthe only isotropic mode for this radius, namely TEu . No other branchesexist below cr = o-q , since G{Xi , o-) and G(T(\i), a) have opposite signsexcept in the region just considered. The two solution curves considered so far are not the only ones; infact the infinity of sheets of the surface G(Ai, a) in the region boundedby 7i , Oc and {Ia)t , Fig. 9(a),

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. The Bell System technical journal . , 6/3. dGV axTo, + 0(5a-), a result which shows that /?tends to its terminal value along the vertical. It is clear analytically andgraphically that this mode persists as p ^ 0, and must be identified withthe only isotropic mode for this radius, namely TEu . No other branchesexist below cr = o-q , since G{Xi , o-) and G(T(\i), a) have opposite signsexcept in the region just considered. The two solution curves considered so far are not the only ones; infact the infinity of sheets of the surface G(Ai, a) in the region boundedby 7i , Oc and {Ia)t , Fig. 9(a), intersect the transformed sheets G(T{\i)cr)in infinitel}^ many more curves. In the blank areas of that region theG-functions have equal sign, and all these areas must be carriers of solu-tion curves, since in every one of them every single contour G(\i , a) = g To = / / \ y / \ \ / \ / \ 1 1 \ / \ / \ -0-4 -02 0 P Fig. 10(c) — (3^ versus p for small values of <r — the TEi2-limit mode. oaoO

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Keywords: ., bookcentury1900, bookdecade1920, booksubjecttechnology, bookyear1