The proposed scheme uses an elliptic curve (EC) isomorphic
to a given ordered Mordell elliptic curve (MEC) [E.sub.p,b] over [F.sub.p], where p [equivalent to] 2 (mod 3).
We prove that the C* algebra [T.sup.(n).sub.[[infinity],[infinity]] generated by Toeplitz operator with bounded vertical symbols that have limit values at y = -[infinity], [infinity] acting on Fock space is isomorphic
and isometric to the C*-algebra D.
We can say immediately that [mathematical expression not reproducible], which is isomorphic
to R [??] [S.sub.n] as groups.
In accordance with the previous hypothesis, the positive coefficient on geographical distance interaction indicates that the correlations between spatial distance and isomorphic
diffusion will be greatly weakened after the growth period.
End([G.sub.i]) [congruent to] End(H) for some group H [??] [G.sub.i], then the direct products [G.sub.1] x [??] x [G.sub.n] and [G.sub.1] x [??] x [G.sub.i-1] x H x [G.sub.i+1] x [??] x [G.sub.n] can have isomorphic
Certainly, the group in this manner and PSL(2, Z) are isomorphic
. In other words, PSL(2, Z) is considered as a group acting on [H.sup.2] by linear fractional transformation, that is,
If [G.sub.1] is weak isomorphic
to [G.sub.2] and if [G.sub.1] is strong then [G.sub.2] is also strong.
Clearly, since marking on each vertex remains the same so their 2-path product signed graphs remain isomorphic
If k =0, then G is isomorphic
to S([C.sub.3], [P.sub.l], [C.sub.3]).
Moreover, [A.sub.n] (q) [??] [A.sub.n] ([q.sup.-1]) is isomorphic
to [H.sub.n](p, q) as a Hopf algebra (see [8, Theorem 3.3]).
If [v.sub.2][u.sub.2] [member of] E([bar.G]) then G is isomorphic
(i) [Q.sub.h](111)[W(1 0)] is isomorphic