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It was brought to our attention by Professor Valeria Simoncini that our proof of Theorem 2.1 [2, p. 139] is incorrect. Indeed, on page 140 we write the inequality (2.4) which is correct because we work with à which is an m× n matrix and m ≤ n and rank(A)=m hence ‖ÃT y‖ ‖y‖ ≥ σ̃1. However, on page 141 we write the inequality (2.6). We try to use a similar argument but now instead of à we have à a...

Recently, Bourne constructed a system of three-valued logic that he supposed to replace à Lukasiewicz’s three-valued logic in view of the problems of future contingents. In this paper, I will show first that Bourne’s system makes no improvement to à Lukasiewicz’s system. However, finding some good motivations and lessons in his attempt, next I will suggest a better way of achieving his original...

μ â q Z K̈ y Å Š z z Z ã Z 0 s Æ ́ z { Z qZ z g „ CÙ Â å Z K̈ y ì 1 : „ å % Š Z z g : „ å ú g ] ƒ C ì X p Z z u Z Ô Æ Z Ô 3, !* y Ô Z z g 7 ~ 1 Z ñ z ) { Æ * x Ð å g } Y ä z Z á ç Ñ } ~ ñ Š Z y TM Š Z g z V Å | (, ~ Š g Š * u ì X Z k ï Ã Z C * á h+ Z y Å 6 g ~ ì X ‚ g ~ i 0+ Ï Z K̈ y Å w q Ý TM ä Æ p Z [ Š Ú z Z à t Š g ] Å z { ‘ t ì X ~ ” h+ Ù ! d Z y 0* c Y @* ì X t TM Š Z g a Z Â Z 0 W Š x ...

The type-2 fuzzy sets was introduced by L. Zadeh as an extension of ordinary fuzzy sets. So the concept of type-2 fuzzy sets is also extended from type-1 fuzzy sets. If A is a type-1 fuzzy set and membership grade of x ∈ X in A is μA(x), which is a crisp number in [0, 1]. A type-2 fuzzy set in X is Ã, and the membership grade of x ∈ X in à is μÃ(x), which is a type-1 fuzzy set in [0, 1]. The el...

The triplet and singlet states of the ketenylidene ~CCO! radical are investigated using fast radical beam photofragment translational spectroscopy, in which CCO is generated by laser photodetachment of CCO and subsequently photodissociated, and anion photoelectron spectroscopy. In the photodissociation experiment, two bands in which the upper state of CCO predissociates are studied. Photodissoc...

We study the well-posedness of triply nonlinear degenerate ellipticparabolic-hyperbolic problem b(u)t − div ã(u, ∇φ(u)) + ψ(u) = f, u|t=0 = u0 in a bounded domain with homogeneous Dirichlet boundary conditions. The nonlinearities b, φ and ψ are supposed to be continuous non-decreasing, and the nonlinearity ã falls within the Leray-Lions framework. Some restrictions are imposed on the dependence...

Laser excited, dispersed fluorescence spectra have been recorded for a number of bands of the ÖX~ electronic transition of CCl2 . Analysis of the data yields well defined values for the harmonic and anharmonic constants for the symmetric ground state vibrations. Additional lines are observed at red shifts 5000 cm 1 from the origin, which are not assignable in terms of the known X~ and à state ...