3. ( 1 ) Linear Congruential Generator:LCG 6) (Mersenne Twister:MT ), L 1 ( 2 ) 4 4 G (i,j) < G > < G 2 > < G > 2 g (ij) i= L j= N

As with M¨ obius groups, we define the limit set L(G) of the convergence group G to be the set of all limit points of those sequences { f n } converging in the sense of (ii)..

Given a compact Hausdorff topological group G, we denote by O(G) the dense Hopf ∗-subalgebra of the commutative C ∗ -algebra C(G) spanned by the matrix coefficients of

Related to this, we examine the modular theory for positive projections from a von Neumann algebra onto a Jordan image of another von Neumann alge- bra, and use such projections

R.Brown and J-L.Loday [5] noted that if the second dimension G 2 of a simplicial group G, is generated by the degenerate elements, that is, elements coming from lower dimensions,

In analogy with Aubin’s theorem for manifolds with quasi-positive Ricci curvature one can use the Ricci flow to show that any manifold with quasi-positive scalar curvature or

Algebraic curvature tensor satisfying the condition of type (1.2) If ∇J ̸= 0, the anti-K¨ ahler condition (1.2) does not hold.. Yet, for any almost anti-Hermitian manifold there

In the case of the Ariki–Koike algebra, that is, the Hecke algebra of the complex reflection group G(l, 1, n), they are Laurent polynomials whose factors determine when Specht

the log scheme obtained by equipping the diagonal divisor X ⊆ X 2 (which is the restriction of the (1-)morphism M g,[r]+1 → M g,[r]+2 obtained by gluing the tautological family