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5th IEEE International Workshop on Robot and Human by Japan) IEEE International Workshop on Robot and Human

By Japan) IEEE International Workshop on Robot and Human Communication (5th : 1996 : Tsukuba-shi

Viability of human communique with robots and automations through speech and different human modalities of conversation are tested. Projections of VLSI circuit density raises and price discount rates effect on fiscal functions in and client items are projected.

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4. B. Deroin, V. Kleptsyn, GAFA vol. 17 (2007) 4 1043-1105. 5. B. Deroin, C. Vernicos, In preparation. 6. J. E. Fornaess, N. Sibony, arXiv:0606744. 7. H. Furstenberg, Amer. J. Math. 83 (1961), 573-601. 8. H. Furstenberg, Ann. of Math. (2) 77 (1963) 477-515. 9. L. Garnett, J. Funct. Anal. 51 (1983) no. 3, 285-311. 10. Y. Guivarc’h, A. Raugi, Z. Wahrsch. Verw. Gebiete 69 (1985), no. 2, 187-242. 11. S. Petite, Erg. Th. Dyn. Syst. 26 (2006), no. 4, 1159-1176. 12. J. Plante, Ann. of Math. 102 (1975), 327-361.

The subgroup G of G generated by g1 and g2 preserves each fiber of the fibration by planes Im(w) R2 → H × R → (0, ∞) , and acts by a discrete lattice of translations on them. Thus the action of G is free and discontinuous, and the quotient G \H × R is a torus bundle over (0, ∞), which is naturally diffeomorphic to T2 × (0, ∞), where T2 is the quotient of R2 by the translations (x, z) → (x + ai , z + bi ), i = 1, 2. The relations g0 ◦ g1 ◦ g0−1 = g1a ◦ g2b and g0 ◦ g2 ◦ g0−1 = g1c ◦ g2d show that the group G is normal in G.

2. P. Baum and J. Cheeger, Topology, 8:173–193, 1969. 3. R. Bott, Michigan Math. , 14:231–244, 1967. February 17, 2009 16:46 WSPC - Proceedings Trim Size: 9in x 6in viii-icdg 34 4. R. Bott, Global Analysis (Proc. Sympos. , Vol. , 1968), Amer. Math. , 1970:127– 131. 5. R. Bott and J. Heitsch, Topology, 11:141-146, 1972. 6. Y. Carri`ere, Comment. Math. Helv. 63:1–20, 1988. 7. J. Cheeger and J. , 1983/84), Lecture Notes in Math. , 1167, Springer, Berlin, 1985: 50–80. 8. S. Chern, Complex manifolds without potential theory, Second Edition.

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