This paper generalizes the speci cation of Basic Interval Arithmetic Subroutines (BIAS) to support interval arithmetic on directed (i.e. proper and improper) intervals. This is due to our understanding that the arithmetic involving improper intervals will be increasingly used in future applications and the corresponding interval arithmetic implementations require no additional cost. We extend B...

The influence of polyvalent cations on the activation of end plate receptors has been studied in vitro on the sartorius muscle of the frog. In the absence of extracellular calcium, the sensitivity of the receptors to depolarizing quaternary ammonium salts was markedly reduced. Maximum receptor activation occurred in those fibers equilibrated in 1.8 m calcium Ringer solution, with the response b...

The standard approach to reasoning about polymorphic (also called recursive or self) methods is in terms of method reenement. That is, if the correctness of a (polymorphic) method f of class B depends on certain properties of another method g of B, then in any subclass of B in which g is redeened, the designer must make sure that g continues to exhibit these properties. While this allows the de...

Five metallic cations (Fe3+, Cr3+, Cal+, Mg2+, Mn2+; concentration range, 1.85 X 10-4 to 37 X 10-4 M) were incorporated individually as chlorides into nutrient broth and agar media used for the recovery of phenol-treated Escherichia coli. The effects observed varied with the concentration and the ionic species. In nutrient agar, Fe3+ and Cr3+ were generally beneficial but were toxic at 37 X 10-...

the aim of this study was to develop an extended-release tablet formulation using a new in situ cross-linking method. the effects of polyvalent cations on theophylline release from tablets made with the polyanionic polymers sodium alginate and sodium carboxymethylcellulose, were investigated. different miliequivalents of the di and tri-valent cation, ca2+ and al3+, were added to tablet formulat...

the effect of interactions of various ia and iia cations with two positions of the adenine-thymine (a−t) and guanine-cytosine (g−c) base pairs on the geometries and individual hydrogen bond (hb) energies have been investigated by using the atoms in molecules (aim) method at the b3lyp/6-311++g(d,p) level of theory. the cations that possess higher charge/radius (q/rad) ratio make higher changes o...

Message Sequence Chart (MSC) speci cations have found their way into many software engineering methodologies and CASE tools, in particular in the area of telecommunications and concurrent real-time systems. MSC Speci cations often represent early life-cycle requirements and high-level design speci cations. We are considering iterating and branching MSC speci cations according to ITU-T Recommend...

Message Sequence Chart (MSC) speci cations have found their way into many software engineering methodologies and CASE tools, in particular in the area of telecommunications and concurrent real-time systems. MSC Speci cations often represent early life-cycle requirements and high-level design speci cations. We are considering iterating and branching MSC speci cations according to ITU-T Recommend...