RESIDUES

Toric Residues

In this paper, we will show how these properties of residues can be generalized to an arbitrary projective toric variety. The paper is organized into six sections as follows. In §1, we define the cohomology class [ωg] ∈ H(P,ΩPn), and then §2 generalizes this to define toric residues in terms of a toric analog of the Trace Property. We recall some commutative algebra associated with toric variet...

Numerical Residues

Binary morphological transformations based on the residues (ultimate erosion, skeleton by openings, etc.) are extended to functions by means of the transformation definition and of its associated function based on the analysis of the residue evolution in every point of the image. This definition allows to build the transformed image and its associated function, indicating the value of the resid...

The Distribution of Quadratic Residues and Non-residues

1. If p is a prime other than 2, half of the numbers 1, 2, ..., p-l are quadratic residues (modp) and the other half are quadratic non-residues. Various questions have been proposed concerning the distribution of the quadratic residues and non-residues for large p, but as yet only very incomplete answers to these questions are known. Many of the known results are deductions from the inequality ...

Chemical composition of indoor ash residues

The ash content formed after burning of materials in indoor may be harmful to environment on dumping due to high ionic and metallic concentration. Therefore, the chemical composition of various indoor ash residues derived from burning of the biomass (BM), coal (C), cow dung (CD), incense (IS) and mosquito coil (MC) materials is described in this study. Three samples each of BM, coal, CD, IS and...

Thermostable α-amylase from Lignocellulosic Residues Using Bacillus amyloliquefaciens