In this paper, I first prove an integral representation theorem: Every quasi-integral on a Stone lattice can be represented by a unique uppercontinuous capacity. I then apply this representation theorem to study the topological structure of the space of all upper-continuous capacities on a compact space, and to prove the existence of an upper-continuous capacity on the product space of infinite...

Bergsland, Kristin J., Jennifer K. Kelly, Brian J. Coe, and Fredric L. Coe. Urine protein markers distinguish stone-forming from non-stone-forming relatives of calcium stone formers. Am J Physiol Renal Physiol 291: F530–F536, 2006. First published April 18, 2006; doi:10.1152/ajprenal.00370.2005.—We have investigated urine protein inhibitors of calcium oxalate crystallization to determine whethe...

to determine the specificity and host range of wilsonomyces carpophilus isolates, some stone fruit seedlings (prunus armeniaca, prunus dulcis, prunus reuteri, p. vulgaris, p. domestica, p. persica, p. avium and p. cerasus), pome fruits (malus communis, pyrus communis, crataegus azarollus and crataegus monogyna) as well as ornamental plants (rosa persica, rosa sp. and r. damascena) were selected...

in this work, the waste stone sludge obtained from the granite and marble stone processing factories was used for the manufacture of artificial stones using vibratory compaction in a vacuum environment. the results obtained showed that water absorption and density increased, and the flexure, compressive, and tensile strengths decreased with increase in the content of the waste stone sludge. the...

In this paper we survey some recent developments in duality for lattices with additional operations paying special attention to Heyting algebras and the connections to Esakia’s work in this area. In the process we analyse the Heyting implication in the setting of canonical extensions both as a property of the lattice and as an additional operation. We describe Stone duality as derived from cano...

Rough relation algebras were introduced by S. Comer as a generalisation of algebras of Pawlak's rough sets and Tarski's relation algebras. In this paper, some algebraic and arithmetical properties of rough relation algebras are studied and the representable rough relation algebras are characterised. 1. Definitions and preliminary results We assume that the reader is familiar with the basic fact...

According to a result by K. B. Lee, the lattice of varieties of pseudocomplemented distributive lattices is the ui + 1 chain B_i C Bo C Bi C • ■ ■ C Bn C •■ • C Bw in which the first three varieties are formed by trivial, Boolean, and Stone algebras respectively. In the present paper it is shown that any Stone algebra is determined within Bi by its endomorphism monoid, and that there are at mos...

Stone-type duality connects logic, algebra, and topology in both conceptual and technical senses. This paper is intended to be a demonstration of this slogan. In this paper we focus on some versions of Fitting’s L-valued logic and L-valued modal logic for a finite distributive lattice L. Using the theory of natural dualities, we first obtain a duality for algebras of L-valued logic. Based on th...

One hundred eighty children with bladder stone disease (BSD) and 50 normal children were studied between July 1979 and June 1982. The peak age group in BSD children was between 2-4 years and the male to female ratio was 9:1. Hospital reporting of stone formers showed no significant relationship to mean monthly temperature or relative humidity.Painful micturition was the commonest clinical prese...