We give topological proofs of Görnemann’s adaptation to Heyting algebras of the Rasiowa-Sikorski Lemma for Boolean algebras; and of the Rauszer-Sabalski generalisation of it to distributive lattices. The arguments use the Priestley topology on the set of prime filters, and the Baire category theorem. This is preceded by a discussion of criteria for compactness of various spaces of subsets of a ...

The most susceptible area of a structural member, where the inelastic rotation would take place, is plastic hinge. At this stage, flexural elements in particular achieve their maximal bending flexibility. This study uses finite element analysis (FEA) and experimental inquiry to analyze test effects carbon fiber mesh jacketing steel reinforcement at concrete beam’s hinge length subjected vertica...

The aim objective of this present study is to identify the most influencing constant parameters of Two Source Energy Balance (TSEB) Model over irrigated olive orchard in semi-arid area. TSEB (Norman et al. 1995) has been based on surface radiometric temperature, Priestley-Taylor estimation of canopy latent heat, climatic forcing and partitioning energy to double sources (canopy and soil) accord...

An important scaling consideration is introduced into the formulation of the complementary relationship (CR) of land surface evapotranspiration (ET) by specifying the maximum possible evaporation rate (Epmax) of a small water body (or wet patch) as a result of adiabatic drying from the prevailing near-neutral atmospheric conditions. In dimensionless form the CR therefore becomes yB= f( Epmax Ep...

Inspired by classic work of Wallman and more recent Jung-Kegelmann-Moshier Vickers, we show how to encode general subbases stably locally compact spaces via certain entailment relations. We further build this up a categorical duality encompassing the Priestley-Stone its various extensions Shirota, De Vries, Hofmann-Lawson (in stable case), Jung-Sünderhauf, Hansoul-Poussart, Bezhanishvili-Jansan...

Historians of chemistry usually associate the eighteenth century with the Chemical Revolution, but it could just as readily be called ‘the century of gases’ (or ‘airs’, as they were called in the eighteenth century). In the early part of the century, the British pneumatic chemists struggled to replace the traditional notion ‘Air’, understood as an inert chemical element, with the concept of ‘ai...