Both parapsychologists and skeptics have interests in investigating the nature of belief in the paranormal, albeit with somewhat different objectives in mind. Despite substantial variation across studies in the definition of the scope of paranormal belief, some degree of order can be imposed on the empirical literature by taking due account of the multidimensionality of paranormal belief. In th...

Paranormal phenomena - events that cannot be explained by existing science - are regularly reported in medicine. Surveys have shown that a majority of the population of the United States and Great Britain hold at least one paranormal belief. Information was retrieved by MEDLINE searches using keywords 'paranormal' and 'psychic', and from the author's own collection. Reports are predominantly by...

We introduce new necessary conditions, k-quasi-hamiltonicity (0 k n ? 1), for a digraph of order n to be hamiltonian. Every (k + 1)-quasi-hamiltonian digraph is also k-quasi-hamiltonian; we construct digraphs which are k-quasi-hamiltonian, but not (k + 1)-quasi-hamiltonian. We design an algorithm that checks k-quasi-hamiltonicity of a given digraph with n vertices and m arcs in time O(nm k). We...

A topological graph is k-quasi-planar if it does not contain k pairwise crossing edges. A topological graph is simple if every pair of its edges intersect at most once (either at a vertex or at their intersection). In 1996, Pach, Shahrokhi, and Szegedy [16] showed that every n-vertex simple k-quasi-planar graph contains at most O ( n(logn) ) edges. This upper bound was recently improved (for la...

In this paper we present how to apply a Berberian’s technique asymmetric Putnam–Fuglede theorems. particular, proved that if $$A,B\in \mathcal {B}(\mathcal {H})$$ belong the union of classes $$*$$ -paranormal operators, p-hyponormal dominant operators and class $$\mathcal {Y}$$ $$AX=XB^*$$ for some $$X\in , then $$A^{*}X=XB$$ . Moreover, gave new counterexample an theorem paranormal operators.

a group is called morphic if for each normal endomorphism α in end(g),there exists β such that ker(α)= gβ and gα= ker(β). in this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= gβ and gα = ker(γ). we call g quasi-morphic, if this happens for any normal endomorphism α in end(g). we get the following results: g is quasi-morphic if and only if, for any ...

In the present paper, we prove spectral mapping theorem for (m,n)-paranormal operator T on a separable Hilbert space, that is, f (?w(T)) = ?w(f(T)) when is an analytic function some open neighborhood of ?(T). We also show T, Weyl?s holds, ?(T)-?w(T) ?00(T). Moreover, if algebraically (m,n)-paranormal, then and hold.