Wei’s celebrated Duality Theorem is generalized in several ways, expressed as duality theorems for linear codes over division rings and, more generally, duality theorems for matroids. These results are further generalized, resulting in two Wei-type duality theorems for new combinatorial structures that are introduced and named demi-matroids. These generalize matroids and are the appropriate com...

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...

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...

In this paper, similarity hypotheses for the atmospheric surface layer (ASL) are reviewed using nondimensional characteristic invariants, referred to as -numbers. The basic idea of this dimensional -invariants analysis (sometimes also called Buckingham’s -theorem) is described in a mathematically generalized formalism. To illustrate the task of this powerful method and how it can be applied to ...

Satellite-based vegetation indices (VIs) and Apparent Thermal Inertia (ATI) derived from temperature change provide valuable information for estimating evapotranspiration (LE) and detecting the onset and severity of drought. The modified satellite-based Priestley-Taylor (MS-PT) algorithm that we developed earlier, coupling both VI and ATI, is validated based on observed data from 40 flux towers...

We use high resolution, ground-based observations of ice displacement to investigate deformation across the floating left-lateral shear margin Priestley Glacier, Terra Nova Bay, Antarctica. Bare conditions allow us fix survey marks directly glacier surface. A combination continuous positioning a local reference mark, and repeat network 33 stakes installed 2 km width are used quantify strain rat...