We consider the problem of providing formal support for working with abstract syntax involving variable binders. Gabbay and Pitts have shown in their work on Fraenkel-Mostowski (FM) set theory how to address this through first-class names: in this paper we present a dependent type theory

. This paper denes a solution manifold and a stable submanifold for a system of dierential equations. Although we eventually work in the smooth topos, the rst two sections do not mention topos theory and should be of interest to non-topos theorists. The paper characterizes solutions in terms

particles. All known theorems about the vorticity conservation (the Ertel’s, Cauchy’s and Kelvin’s theorems, the frosenness of vorticity and conservation of the topo-logical Hopf invariant) are a sequence of this symmetry. The canonical vari-ables are introduced into the collisionless plasma kinetics

step by step distributions for the seven topo- graphic variables ordered, for each unit, after the absolute values of the Haberman's residuals in BDA. The predicted distributions were tested against that of the observed sampling plots. From the original ten land units, the distributions of eight

sites). Vegetation models were significantly more accurate than topo-climatic models, but the difference was due to the higher number of potential predictors in the set of vegetation variables. Vegetation landscape models were significantly more accurate

that the calibrated TopoSnow and TopoTree models enhance the modeling of reflectance variability from snow-covered forests for visible and near-infrared wavelengths. The performance of four other topographic correction methods is evaluated for snow-covered forests.

schematic version of the Principle of General Covariance of General Relativity is formulated for the dynamically variable quantum causal sets. We compare our non-commutative scheme-theoretic curved quantum causal topology with some recent C ∗-quantale models for non-abelian generalizations of classical

Introduction In this class we will study models for which the observed random variables are continuous, and linearly related to the latent variables, denoted by y. We will study Factor Analysis (FA) and Probabilistic Principal Component Analysis (PPCA). Principal Component Analysis (PCA), which

specification does not currently support these data. The Topo-Bathy Lidar Domain Profile adds point classification values for bathymetric point, water surface, derived water surface, submerged object, IHO S-57 object, and bottom not found depth. Extra Byte Variable Length Records (EXTRA_BYTES or Extra Byte VLRs

that variable cohesion observed along the E. coli chromosome is caused by differential SeqA binding, with oriC and snap loci binding disproportionally more SeqA. We propose that SeqA binding results in loose inter-duplex junctions that are resistant to Topo IV cleavage. Lastly, reducing cohesion by genetic