The author constructs a theory of dagger formal schemes over R and then defines the de Rham cohomology for flat dagger formal schemes X with integral and regular reductions X̄ which generalizes the MonskyWashnitzer cohomology. Finally the author gets Lefschetz’ fixed pointed formula for X with certain conditions.

Galileo found that fine lines on a balance scale dazzled his eyes and were unreadable. So he used a grid of fine wires instead and ran his dagger across it, counting the number of auditory clicks. This is the first known experiment on sensory substitution.

Hirayama disease is a rare type of neurological disease commonly manifesting as brachial monomelic amyotrophy in young males of Asian origin, easily understood as juvenile non-progressive cervical amyotrophy. The first case was reported by Hirayama in 1959. The pathogenesis is attributed towards chronic compression of cervical spinal cord during flexion movements of neck in cases where there is...

We present here a new approach to generalize supersymmetric quantum mechanics to treat multiparticle and multidimensional systems. We do this by introducing a vector superpotential in an orthogonal hyperspace. In the case of N distinguishable particles in three dimensions this results in a vector superpotential with 3N orthogonal components. The original scalar Schrödinger operator can be facto...

Using a character expansion method, we calculate exactly the eigenvalue density of random matrices of the form M dagger M where M is a complex matrix drawn from a normalized distribution P(M) approximately exp(-Tr [AMB M dagger]) with A and B positive definite (square) matrices of arbitrary dimensions. Such so-called correlated Wishart matrices occur in many fields ranging from information theo...