Both the quality of the results of TEX s formula layout algorithm and the complexity of its description in the TEXbook are hard to beat The algorithm is verbally described as an imperative program with very complex control ow and complicated manipulations of the data structures representing formulae In a forthcoming textbook we describe TEX s formula layout algorithm as a functional program tra...

the nutritive value of grass pea (lathyrus sativus l.) hay was evaluated based on its chemical composition, gas production, fractioning of protein in cncps and afrc systems, metabolizable energy (me), rumen degradability through in situ technique and in vitro digestibility through tilley and terry method. the crude protein (cp), neutral detergent fiber (ndf) and acid detergent fiber (adf) value...

We display an interesting sum rule for the dynamical thermal conductivity for many standard models of condensed matter in terms of the expectation of a thermal operator. We present the thermal operator for several model systems of current interest, which enable an evaluation of the sum rule and the Lorentz number, the thermoelectric figure of merit as well as the thermopower at high frequencies...

We consider the numerical approximation of the spectrum of a secondorder elliptic eigenvalue problem by the hybridizable discontinuous Galerkin (HDG) method. We show for problems with smooth eigenfunctions that the approximate eigenvalues and eigenfunctions converge at the rate 2k + 1 and k + 1, respectively. Here k is the degree of the polynomials used to approximate the solution, its flux, an...

Recently, there has been a concerted effort to implement advanced classical potential energy surfaces by adding higher order multipoles to fixed point charge electrostatics in a bid to increase the accuracy of simulations of condensed phase systems. One major hurdle is the unwieldy nature of the expressions which in part has limited developers mostly to including only dipoles and quadrupoles. I...

A mild acidic dioxane extraction method was employed to isolate lignin from hardwood bleached chemimechanical pulp (BCMP). The isolated lignin was then purified and undergone elemental analysis. To study the photodegradation behavior, the lignin samples were impregnated onto the Whatman filter papers and irradiated with UV light for various periods. The photolyzed lignin was then recovered and ...

We identify a compact and sufficient set of building blocks which constitute most design patterns of the GoF catalog: uniform sets of classes or functions, function clans, class hierarchies, and regularities (morphisms) thereof. The abstractions observed are manifested within a model in symbolic logic and defined in LePUS, a declarative, higher order language. LePUS formulae concisely prescribe...

This paper contains the results of experiments with several search strategies on problems involving condensed detachment The problems are taken from nine di erent logic calculi three versions of the two valued sentential calculus the many valued sentential calculus the implicational calculus the equivalential calculus the R calculus the left group calculus and the right group calculus Each prob...

1.1 Anomalies in QFT. The chiral anomaly appears as a quantum correction to the conservation of the axial current for massless fermions. A crucial property is the anomaly nonrenormalization, which says that the chiral anomaly is given exactly by its lower order contribution. This property was proved first for QED4 in [AB] in the well known Adler-Bardeen Theorem: it was shown that there is a dra...

Transition state theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when the reactive system is coupled to an environment. The calculations made in this way then overestimate the reaction rate and the results depend critically on...