Response to PN Lee

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 ...

Satir the Interventionist: A Response to Lee and Rovers.

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...

Diffusive Corrections to PN Approximations

In this paper, we investigate moment methods from a general point of view using an operator notation. This theoretical approach lets us explore the moment closure problem in more detail. This gives rise to a new idea, proposed in [14, 15], of how to improve the well-known PN approximations. We systematically develop a diffusive correction to the PN equations from the operator formulation — the ...

Pronounced Photovoltaic Response from Multilayered Transition-Metal Dichalcogenides PN-Junctions.

Transition metal dichalcogenides (TMDs) are layered semiconductors with indirect band gaps comparable to Si. These compounds can be grown in large area, while their gap(s) can be tuned by changing their chemical composition or by applying a gate voltage. The experimental evidence collected so far points toward a strong interaction with light, which contrasts with the small photovoltaic efficien...