Tag: Residue

Free Download Alekos Vidras, Alain Yger, "Multidimensional Residue Theory and Applications"
English | ISBN: 1470471124, 9781470471125| 2023 | 533 pages | PDF | 9 MB
Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon-Skoda theorem and Hilbert’s Nullstellensatz, to arithmetic intersection theory and to tropical geometry.

Free Download Residue Number Systems: Algorithms and Architectures by P. V. Ananda Mohan
English | PDF | 2002 | 262 Pages | ISBN : 1402070314 | 16.4 MB
There has been continuing interest in the improvement of the speed of Digital Signal processing. The use of Residue Number Systems for the design of DSP systems has been extensively researched in literature. Szabo and Tanaka have popularized this approach through their book published in 1967. Subsequently, Jenkins and Leon have rekindled the interest of researchers in this area in 1978, from which time there have been several efforts to use RNS in practical system implementation. An IEEE Press book has been published in 1986 which was a collection of Papers. It is very interesting to note that in the recent past since 1988, the research activity has received a new thrust with emphasis on VLSI design using non ROM based designs as well as ROM based designs as evidenced by the increased publications in this area. The main advantage in using RNS is that several small word-length Processors are used to perform operations such as addition, multiplication and accumulation, subtraction, thus needing less instruction execution time than that needed in conventional 16 bitl32 bit DSPs. However, the disadvantages of RNS have b. een the difficulty of detection of overflow, sign detection, comparison of two numbers, scaling, and division by arbitrary number, RNS to Binary conversion and Binary to RNS conversion. These operations, unfortunately, are computationally intensive and are time consuming.

Free Download Kolli, "Waste Residue Composites "
English | ISBN: 311076640X | 2023 | 200 pages | EPUB, PDF | 7 MB + 232 MB
Special composite materials are being produced with a lot of effect for use in industrial areas with demanding applications. These requirements can be satisfied by converting a variety of waste resides or by products from different industrial, agricultural, animal, household feedstocks into useful and sustainable goods.