Hence, each EC isomorphic
to [E.sub.p,b] will generate a distinct S-box.
Moreover, they proved that the spaces [F.sup.2.sub.(n)](C) are isomorphic
and isometric to [L.sub.2](R) [R] [cross product] [H.sub.n-1], where [H.sub.n-1] is the one-dimensional space generated by Hermite function of order n - 1.
They prove that every subgroup of the multiplicative semigroup of n x n finite tropical matrices is isomorphic
to a direct product of the form R x [SIGMA] for some [SIGMA] [less than or equal to] [S.sub.n].
Are there any corresponding policies or measures that Chinese governments can take to allow isomorphic
If for each group H such that the monoids End(G) and End(H) are isomorphic
implies an isomorphism between G and H, we say that the group G is determined by its endomorphism monoid in the class of all groups.
By being in three fields at the same time, the strategies of these firms are said not to be limited any one of them, enabling them to largely ignore the isomorphic
pressures of their host environments.
The authors showed that G[u.sub., n] was the disjoint union of isomorphic
copies of their special subgraph [F.sub.u, n], the generalized Farey graph, coming from the use of the subgroup [[GAMMA].sub.0] (n) of [GAMMA].
If an m-polar fuzzy graph [G.sub.1] is coweak isomorphic
to [G.sub.2] and if [G.sub.1] is regular then [G.sub.2] is also regular.
Two signed graphs [S.sub.1] and [S.sub.2] are cycle isomorphic
if there exists an isomorphism f : [greater than or equal to]1 [right arrow] [[SIGMA].sub.2], where [[SIGMA].sub.1] and [[SIGMA].sub.2] are underlying graph of [S.sub.1] and [S.sub.2], respectively, such that the sign of every cycle [SIGMA] in [S.sub.1] equals the sign of f(Z) in [S.sub.2].
(d) If [absolute value of G] = 3, then G is isomorphic
to [K.sub.3]; if [absolute value of G] = 4, then G is isomorphic
to [K.sub.4]; if [absolute value of G] = 5, then G is isomorphic
to [K.sub.5]-e, where [member of] is any edge of [K.sub.5].
Then G is isomorphic
to [mathematical expression not reproducible] or [mathematical expression not reproducible], where [mathematical expression not reproducible] denotes the union of k > 0 disjoint cycles [mathematical expression not reproducible] of length [k.sub.i].
If p [not equal to] 0, then [H.sub.n] (p, q) is isomorphic
to the Drinfeld double D([A.sub.n] ([q.sup.-1])) of the Taft algebra [A.sub.n] ([q.sup.-1] ).