Three Topics in Analysis: (I) The Fundamental Theorem of Calculus Implies that of Algebra, (II) Mini Sums for the Riesz Representing Measure, and (III) Holomorphic Domination and Complex Banach Manifolds Similar to Stein Manifolds

We look at three distinct topics in analysis. In the first we give a direct and easy proof that the usual Newton-Leibniz rule implies the fundamental theorem of algebra that any nonconstant complex polynomial of one complex variable has a complex root. Next, we look at the Riesz representation theorem and show that the Riesz representing measure often can be given in the form of mini sums just like in the case of the usual Lebesgue measure on a cube. Lastly, we look at the idea of holomorphic domination and use it to define a class of complex Banach manifolds that is similar in nature and definition to the class of Stein manifolds

Passive Gamma Scanning : a Powerful Tool for QC of MOX Fuels

Abstract Passive gamma scanning (PGS) had been used in nuclear fuel industry for various applications such as characterization and assay of nuclear waste, enrichment monitoring of nuclear fuel pins and post irradiation examination of irradiated fuel. (U,Pu)O 2 mixed oxide (MOX) fuels have been developed in India for irradiation in thermal and fast reactors. MOX fuels for various reactors have been fabricated at Advanced Fuel fabrication facility (AFFF), BARC,Tarapur. PGS technique was modified and studies were carried out on these fuels to extract detailed information regarding the composition and configuration of a wide variety of MOX fuels

CALOR89 Calorimeter Simulations, Benchmarking, and Design Calculations

Results on CALOR89 benchmarking and design calculations utilizing the CALOR89 programs are presented. The benchmarking is done with respect to the ZEUS and DO calorimeters. The design calculations were done for a variety of absorbers (depleted uranium, lead, and iron) of various thickness for a given scintillator thickness and for a fixed absorber thickness using various thickness for the scintillator. These studies indicate that a compensating calorimeter can be built using lead as the absorber, whereas a purely iron calorimeter would be non-compensating. A depleted uranium calorimeter would possibly be unsuitable if used in a large configuration and a high luminosity machine because of the delayed energy release from capture gammas. 11 refs., 5 figs