The purpose of this paper is to investigate the relationship between limited codes and Petri nets. The set M of all positive firing sequences which start from the positive initial marking μ of a Petri net and reach μ itself forms a pure monoid M whose base is a bifix code. Especially, the set of all elements in M which pass through only positive markings forms a submonoid N of M . Also N has a ...

We propose concurrence classes for general pure multipartite states based on an orthogonal complement of a positive operator valued measure on quantum phase. In particular, we construct W m class, GHZ, and GHZ class concurrences for general pure m-partite states. We give explicit expressions for W 3 and GHZ class concurrences for general pure three-partite states and for W , GHZ, and GHZ class ...

We report data from an internet questionnaire of sixty number trivia. Participants were asked for the number of cups in their house, the number of cities they know and 58 other quantities. We compare the answers of familial sinistrals--individuals who are left-handed themselves or have a left-handed close blood-relative--with those of pure familial dextrals--right-handed individuals who reporte...

We describe an error in earlier probabilistic analyses of the pure literal heuristic as a procedure for solving k-SAT. All probabilistic analyses are in the constant degree model in which a random instance C of k-SAT consists of m clauses selected independently and uniformly (with replacement) from the set of all k-clauses over n variables. We provide a new analysis for k = 2. Speciically, we s...

a fullerene graph is a 3−connected planar graph whose faces are pentagons and hexagons.the clar number of a fullerene is the maximum size of sextet patterns, the sets of disjointhexagons which are all m-alternating for a kekulé structure m of f. an exact formula of clarnumber of some fullerene graphs and a class of carbon nanocones are obtained in this paper.

If a quantum system of Hilbert space dimension mn is in a random pure state, the average entropy of a subsystem of dimension m ≤ n is conjectured to be S m,n = mn k=n+1 1 k − m−1 2n and is shown to be ≃ ln m − m 2n for 1 ≪ m ≤ n. Thus there is less than one-half unit of information, on average, in the smaller subsystem of a total system in a random pure state.

The inhibiting effects of some newly synthesized Schiff bases on the corrosion of Al-Pure in 1.0 M HCl have been studied by means of the chemical and electrochemical methods. The Schiff bases m-Chloroaniline-N-benzylidene (m-CANB), p-Chloroaniline–N-benzylidene (p-CANB), Benzylamine-N-(p-methoxy benzylidene) (BANPMB) and 2-Phenylethylamine-N-(p-methoxy benzylidene) (2PANPMB) were synthesized fr...