In our joint paper [1] we proposed a quasi-linear approximation for the 3D-NavierStokes system on the whole space R. It was constructed for Fourier transforms ũ(k, t) = {ũ1(k, t) , ũ2(k, t) , ũ3(k, t)} of the incompressible vector fields u(x, t) = (u1(x, t), u2(x, t), u3(x, t))), div u = 0. Here x = (x1, x2, x3) ∈ R, k = (k1, k2, k3) ∈ R and ũ is pure imaginary and odd. Putting ũ(k, t) = i v(k,...

Let k be a field. Given two finite-dimensional right comodules N andM over a k–coalgebra C, the k–vector spaces ExtC(N,M) need not to be finite-dimensional. This is due to the fact that the injective right comodules appearing in the minimal injective resolution of M need not to be of finite dimension or even quasi-finite. The obstruction here is that factor comodules of quasi-finite comodules a...

In part I it was shown that for each k ≥ 1 the generalized Sato–Levine invariant detects a gap between k-quasi-isotopy of link and peripheral structure preserving isomorphism of the finest quotient Gk of its fundamental group, ‘functorially’ invariant under k-quasi-isotopy. Here we show that Cochran’s derived invariant β, provided k ≥ 3, and a series of μ̄-invariants, starting with μ̄(111112122) ...

To assess the relative strength of children’s claims to remember previous lives, a strength-of-case scale has been developed. It assigns weights to features of each case that are more suggestive of a paranormal explanation. The scale was found to have a high degree of internal consistency. Analysis of 799 cases with the scale indicated that the strength of a case correlated with the economic st...

N(k)-quasi Einstein manifolds are introduced and studied.

In part I it was shown that for each k ≥ 1 the generalized Sato–Levine invariant detects a gap between k-quasi-isotopy of link and peripheral structure preserving isomorphism of the finest quotient Gk of its fundamental group, ‘functorially’ invariant under k-quasi-isotopy. Here we show that Cochran’s derived invariant β, provided k ≥ 3, and a series of μ̄-invariants, starting with μ̄(111112122) ...

This study uses conjuring to investigate the effects of suggestion, social influence, and paranormal belief upon the accuracy of eyewitness testimony for an ostensibly paranormal event. Participants watched a video of an alleged psychic seemingly bending a metal key by the power of psychokinesis. Half the participants heard the fake psychic suggest that the key continued to bend after it had be...

Cognitive theories of religion have postulated several cognitive biases that predispose human minds towards religious belief. However, to date, these hypotheses have not been tested simultaneously and in relation to each other, using an individual difference approach. We used a path model to assess the extent to which several interacting cognitive tendencies, namely mentalizing, mind body duali...

Paranormal claims enjoy relatively widespread popular support despite by definition being rejected by the scientific community. We propose that belief in paranormal claims is influenced by how popular those claims are as well as by dominant scientific views on the claims. We additionally propose that individuals will be most likely to be positively influenced by the views of science when claims...

We focus on the family of (k, l)-unambiguous automata that encompasses the one of deterministic k-lookahead automata introduced by Han and Wood. We show that this family presents nice theoretical properties that allow us to compute quasi-deterministic structures. These structures are smaller than DFAs and can be used to solve the membership problem faster than NFAs.