The optical rotation of a buffered glucose solution upon bromine oxidation rises to a point which corresponds approximately with the rotation of the delta gluconic lactone; then the rotation decreases to a minimum value at a rate corresponding to the hydrolysis of the delta lactone; and finally the rotation slowly increases to a point corresponding to the equilibrium rotation of gluconic acid. ...

We define quantum determinants in matrix algebras related to pairs of compatible braidings. establish relations between these and the so-called column row determinants, which are often used theory integrable systems. also generalize spin systems using generalized Yangians demonstrate that such not uniquely determined by “quantum coordinate ring” basic space $$V$$ . For example, plane” $$xy=qyx$...

The Xdelta system implements a technique for archiving and compressing collections of many similar le versions. It stores only the diierences between certain versions. I describe and discuss an algorithm for computing le deltas, present measurements, and demonstrate its application to versioned le-archival and eecient le-distribution network protocols. 1 Overview The le delta problem is to comp...

Player-Compatible Equilibrium (PCE) imposes cross-player restrictions on the magnitudes of players' “trembles” onto different strategies. These capture idea that trembles correspond to deliberate experiments by agents who are unsure prevailing distribution play. PCE selects intuitive equilibria in a number examples where trembling-hand perfect equilibrium (Selten, 1975) and proper (Myerson, 197...

We propose a class of spectral singularities that are sensitive to the direction excitation and arise in nonlinear systems with broken parity symmetry. These incident beam result diverging transmission reflection for left (right) incident, while right (left) side system remain finite. For pedagogical reason, first we review scattering formalism using an abstract $\ensuremath{\delta}$-function m...

Within the context of the Dutch Delta Programme, economically efficient flood protection standards for the entire Netherlands were calculated using a recently developed methodology for cost-benefit analysis and up-to-date insights into flood risk assessment. This results in economically efficient flood protection standards for different parts of the Netherlands that significantly differ from cu...

The natural abundance of stable carbon isotopes in the annual rings of forest trees is used as a tracer of environmental changes such as climate and atmospheric pollution. Although tree-ring delta(13)C varies by about 2 per thousand from year to year, variability within the foliage can be as high as 6 per thousand. Recent studies have shown that branch length affects stomatal response, which in...

We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring E∗ with a view to applications in algebraic topology and the theory of formal group laws. We concentrate on the situation where E∗ is free of additive torsion, in which context the central issues are number-theoretic questions of divisibility. We study polynomial algebras w...