Top ological toric theory Mikiya Masuda Osaka City University, Japan e-mail: masuda@sci.osaka-cu.ac.jp The theory of toric varieties was established in 1970's. It can be thought of as a bridge connecting algebraic geometry and combinatorics. But one can develop the theory purely in terms of topology to some extent, and it turns out that there is an analogous (expanded, in some sense) bridge between topology and combinatorics. I will discuss the connection between topology and combinatorics.

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... In Chap. ... sign cos : By the theorem on the motion of the center of masses in the space in projections to the related axes .x ; y ; z/ and the theorem on the change of the kinematic moment with respect to these axes, we obtain the following complete system of differential equations in the dynamical quasi-velocity space R1 fvg S2 f; g C R3 fx ;y ;z g: v cos P v sin C y v sin sin P 2 2 z v sin cos C .y C z / D Fx =m; v sin cos C v cos ... I2 n0 d cos with variable coefficient....

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