We propose a general, unified account of masked and long-term priming, based on the assumption that prime events create a memory resource that can be recruited to assist with subsequent target processing. This account is contrasted with the classical account of priming, in which it is assumed that a prime proactively creates a temporary change in the cognitive system (e.g., through spreading ac...

The quantum-event / prime ideal in a category/ noncommutative-point alternative to classical-event / commutative prime ideal/ point is suggested. Ideals in additive categories, prime spectra and representation of quivers are considered as mathematical tools appropriate to model quantum mechanics. The space-time framework is to be reconstructed from the spectrum of the path category of a quiver....

Abstract. Metric Diophantine approximation in its classical form is the study of how well almost all real numbers can be approximated by rationals. There is a long history of results which give partial answers to this problem, but there are still questions which remain unknown. The Duffin-Schaeffer Conjecture is an attempt to answer all of these questions in full, and it has withstood more than...

We expand the quantum variant of popular game Sudoku by introducing notion cardinality a (SudoQ), equal to number distinct vectors appearing in pattern. Our considerations are focused on genuinely solutions, which solutions size $N^2$ that have greater than $N^2$, and therefore cannot be reduced classical counterparts unitary transformation. find complete parameterization $4 \times 4$ SudoQ est...

We show that a large class of finite factors has free entropy dimension less than or equal to one. This class includes all prime factors and many property T factors.

We provide an upper bound of the dimension of the maximal projective submodule of the Lie module of the symmetric group of n letters in prime characteristic p, where n = pk with p k.

We report a quantum–classical hybrid scheme for factorization of bi-prime numbers (which are odd and square-free) using IBM’s quantum processors. The proposed here involves both classical optimization techniques adiabatic techniques, is build by extending previous [Pal et al., Pramana 92, 26 (2019) Xu Phys. Rev. Lett. 108, 130501 (2012)]. part the very general in sense that it can be implemente...

We construct some classes of divisible designs from nite translation planes of dimension two and three over GF(q), q a prime power, admitting SL(2; q) as a collineation group.

We consider Lie powers of group-modules over fields of prime characteristic and generalise some recent results for finite-dimensional modules to modules of arbitrary dimension. MSC 2000: 17B01, 20C07