P.N. Savitskii's Eurasianism

Pn, Pn and Pn in Lines of Action

The endgame of Lines of Action (LOA) is problematic because (1) LOA evaluation functions are not good predictors in the case of forced wins and (2) the state-space complexity of the LOA endgame is too large to use endgame databases. Because of the frequency of forced moves and the mobility component in the LOA endgame the utility of proof-number (PN) search is investigated in this paper. Also t...

Manifolds homotopy equivalent to Pn # Pn

We classify, up to homeomorphism, all closed manifolds having the homotopy type of a connected sum of two copies of real projective n-space. 1. Statement of results Let P = Pn(R) be real projective n-space. López de Medrano [LdM71] and C.T.C. Wall [Wal68, Wal99] classified, up to PL homeomorphism, all closed PL manifolds homotopy equivalent to P when n > 4. This was extended to the topological ...

Classical Eurasianism and the Geopolitics of Russian Identity

The reactions pn → dω and pn → dφ near threshold

The reactions pn → dω and pn → dφ are studied within a relativistic meson-exchange model of hadronic interactions. Predictions for the total cross sections and for the angular distributions of the vector mesons are presented. The resulting cross sections near threshold are around 10-30 µb for pn → dω and 200-250 nb for pn → dφ. A moderate deviation of the cross section ratio σ pn→dφ /σ pn→dω fr...

The critical groups for Km≚Pn and Pm≚Pn

Let G1∨G2 denote the graph obtained from G1+G2 by adding new edges from each vertex of G1 to every vertex of G2. In this paper, the critical groups of the graphs Km ∨ Pn (n ≥ 4) and Pm ∨ Pn (m ≥ 4, n ≥ 5) are determined.