The ultra – cold non – neutre plasma of identical zero spin bosons and high density in a Paul trap allow quantum degeneration parameters: high range order, diagonalisation of matrix density and the order parameter. The theory is symmetric al with regard to electric charge. An Investigation into the Parameters of Quantum Degeneration of an Ultra Cold Non–Neutre Plasma of Identical Ions of Zero S...

We study a class of evolutionary partial differential systems with two components related to second order (in time) non-evolutionary equations of odd order in spatial variable. We develop the formal diagonalisation method in symbolic representation, which enables us to derive an explicit set of necessary conditions of existence of higher symmetries. Using these conditions we globally classify a...

Abstract Although photon Bose–Einstein condensates have already been used for studying many interesting effects, the precise role of photon–photon interaction is not fully clarified up to now. In view this, it advantageous that these systems allow measuring both intensity light leaking out cavity and its spectrum at same time. Therefore, strength can be determined once via analysing condensate ...

We calculated the density of states in a Hubbard mortel with nearest and next nearest neighbour hopping. Using an exact diagonalisation technique, we examined this mortel in a wide area of parameters. The density of states was calculated for dilferent fillings and for positive and negative interaction U. The additional hopping to the next nearest neighbour sites has dilferent elfects on the gap...

The problem of separating n linearly superimposed uncorrelated signals and determing their mixing coeecents is reduced to an Eigenvalue problem which involves the simultaneous diagonalisation of two symmetric matrices whose elements are measureable time delayed correlation functions. The diagonali-sation matrix can be determined from a cost function whose number of minima is equal the number of...

The spectral densities of ensembles of non-Hermitian sparse random matrices are analyzed using the cavity method. We present a set of equations from which the spectral density of a given ensemble can be efficiently and exactly calculated. Within this approach, the generalized Girko's law is recovered easily. We compare our results with direct diagonalisation for a number of random matrix ensemb...

The polyadic μ-calculus is a modal fixpoint logic whose formulas define relations of nodes rather than just sets in labelled transition systems. It can express exactly the polynomial-time computable and bisimulation-invariant queries on finite graphs. In this paper we show a hierarchy result with respect to expressive power inside the polyadic μ-calculus: for every level of fixpoint alternation...

This paper examines the paradox of revisability. This paradox was proposed by Jerrold Katz as a problem for Quinean naturalised epistemology. Katz employs diagonalisation to demonstrate what he takes to be an inconsistency in the constitutive principles of Quine’s epistemology. Specifically, the problem seems to rest with the principle of universal revisability which states that no statement is...

This paper presents some arguments against a unilateral account of numerically quantified noun phrases and for a bilateral account of such expressions. It is proposed that where numerically quantified noun phrases give rise to at least readings, this is the result of one of two forms of pragmatic reasoning. To that end, the paper develops an independently motivated account of specificity and ex...