In this paper we construct the main ingredients of a discrete function theory in higher dimensions by means of a new “skew” type of Weyl relations. We will show that this new type overcomes the difficulties of working with standard Weyl relations in the discrete case. A Fischer decomposition, Euler operator, monogenic projection, and basic homogeneous powers will be constructed.

the subfamily alysiinae (hymenoptera, braconidae) is one of the most peculiar and diverse endoparasitoids of the family braconidae. a sampling survey was done in different parts of iran, mainly in south, central and south eastern provinces. fifteen species are recorded for the first time from iran. they were belonging to tribe alysiini (dinotrema amparoae peris-felipo, 2013; d. borzhomii tobias...

Carbohydrates exist as aldoses, which are polyhydroxyaldehydes, and ketoses, being polyhydroxyketones. Their open–chain forms can be suitably represented by Fischer projections. Aldoses and ketoses can be of different chain length and are all derived from glyceraldehyde. A formal insertion of a stereogenic (HCOH)–group between the carbonyl carbon atom and the α–C–atom of glyceraldehyde leads to...

We consider several methods for generating initial guesses when iteratively solving sequences of linear systems, showing that they can be implemented efficiently in GPU-accelerated PDE solvers, specifically solvers incompressible flow. propose new guess based on stabilized polynomial extrapolation and compare them to the projection method Fischer [Comput. Methods Appl. Mech. Engrg., 163 (1998),...

Three situations in which filtering theory is used in mathematical finance are illustrated at different levels of detail. The three problems originate from the following different works: 1) On estimating the stochastic volatility model from observed bilateral exchange rate news, by R. Mahieu, and P. Schotman; 2) A state space approach to estimate multi-factors CIR models of the term structure o...

The first comprehensive revision of the Western Palaearctic species of the genus Dinotrema Foerster, 1862 is provided. 174 species of this genus are redescribed and illustrated. Ten species are described as new, viz, D. acompressum sp. nov., D. cahitum sp. nov., D. collybiae sp. nov., D. digitatum sp. nov., D. glabrideum sp. nov., D. helote sp. nov., D. lepiotae sp. nov., D. norwegicum sp. nov....

This study was carried out to determine the species of the genus Opius Wesmael, 1835 in Hormozgan province (Southern Iran). Malaise traps and sweep nets were used to obtain adult specimens from various habitats in Hormozgan province during 2011-2013. Fifteen species from the genus Opius belonging to ten subgenera were collected. The subgenera Merotrachys Fischer, 1972 and Opiostomus Fischer, 19...