On the biparametric quantum deformation of GL(2) x GL(1)

We study the biparametric quantum deformation of GL(2) x GL(1) and exhibit its cross-product structure. We derive explictly the associated dual algebra, i.e., the quantised universal enveloping algebra employing the R-matrix procedure. This facilitates construction of a bicovariant differential calculus which is also shown to have a cross-product structure. Finally, a Jordanian analogue of the deformation is presented as a cross-product algebra.Comment: 16 pages LaTeX, published in JM

Coloured extension of GL_q(2) and its dual algebra

We address the problem of duality between the coloured extension of the quantised algebra of functions on a group and that of its quantised universal enveloping algebra i.e. its dual. In particular, we derive explicitly the algebra dual to the coloured extension of GL_q(2) using the coloured RLL relations and exhibit its Hopf structure. This leads to a coloured generalisation of the R-matrix procedure to construct a bicovariant differential calculus on the coloured version of GL_q(2). In addition, we also propose a coloured generalisation of the geometric approach to quantum group duality given by Sudbery and Dobrev.Comment: 10 pages LaTeX. Talk given at the "XXIII International Colloquium on Group Theoretical Methods in Physics", July 31 - August 05, 2000, Dubna (Russia); to appear in the proceeding

Real-Time Data Processing in the Muon System of the D0 Detector

This paper presents a real-time application of the 16-bit fixed point Digital Signal Processors (DSPs), in the Muon System of the D0 detector located at the Fermilab Tevatron, presently the world's highest-energy hadron collider. As part of the Upgrade for a run beginning in the year 2000, the system is required to process data at an input event rate of 10 KHz without incurring significant deadtime in readout. The ADSP21csp01 processor has high I/O bandwidth, single cycle instruction execution and fast task switching support to provide efficient multisignal processing. The processor's internal memory consists of 4K words of Program Memory and 4K words of Data Memory. In addition there is an external memory of 32K words for general event buffering and 16K words of Dual Port Memory for input data queuing. This DSP fulfills the requirement of the Muon subdetector systems for data readout. All error handling, buffering, formatting and transferring of the data to the various trigger levels of the data acquisition system is done in software. The algorithms developed for the system complete these tasks in about 20 microseconds per event.Comment: 4 pages, Presented and published at the 11th IEEE NPSS Real Time Conference, held at Santa Fe, New Mexico, USA, from June 14-18, 199

A (p,q) Deformation of the Universal Enveloping Superalgebra U(osp(2/2))

We investigate a two parameter quantum deformation of the universal enveloping orthosymplectic superalgebra U(osp(2/2)) by extending the Faddeev-Reshetikhin-Takhtajan formalism to the supersymetric case. It is shown that $U_{p,q}(osp(2/2))$ possesses a non-commutative, non-cocommutative Hopf algebra structure. All the results are expressed in the standard form using quantum Chevalley basis.Comment: 8 pages; IC/93/41

Oxy-Ti(IV) Dicarboxylates

208-20

Type I error control in biomarker-stratified clinical trials

Biomarker-stratified clinical trials assess the biomarker signature of subjects and split them into subgroups so that treatment is of benefit to those who are likely to respond. Since multiple hypotheses are tested, it becomes important to control the type I error. Current methods control the false positive rate where one rejects the null hypothesis while in reality that was true. For two subgroups, the false positive rate is controlled across the two hypotheses as a Family Wise Error Rate (FWER) to an overall predetermined significance level

Reproductive age mortality survey: a tool to determine level of underreporting of maternal mortality

Background: For achieving sustainable development goals, tracking all maternal deaths without missing any is a crucial step. Underreporting of maternal deaths is an issue especially in developing countries like India. Objectives of this study were to estimate maternal deaths using Reproductive Age Mortality Survey (RAMOS) methodology in a district of North India and to study medical causes responsible for maternal deaths.Methods: A Reproductive Age Mortality Study (RAMOS) was carried out in a district of North India for the period 2009 to 2012. Records of female deaths in the reproductive age group were reviewed using multiple sources and verbal autopsy was conducted. Maternal deaths thus identified were compared with the officially reported maternal deaths for the same period for finding out the under reporting. Verbal autopsy was conducted to find out causes of maternal deaths.Results: A total of 16 women were identified as maternal deaths using RAMOS methodology. The officially reported maternal deaths were 8, thus under reporting of 100%. The 16 maternal deaths consisted of 14 (87.5%) direct maternal deaths and 2 (12.5%) indirect maternal deaths. One or the other form of delay was recognized in 8 of 16 maternal deaths. There was delay in recognizing the warning signs for urgent health care requirement (first delay) in 4 of 16 maternal deaths. There was delay on part of health facility to diagnose the complication and act appropriately (third delay) in 4 cases.Conclusions: It is concluded that the reporting system for maternal deaths need to be strengthened. Health workers should be adequately trained on reporting maternal death cases. On this foundation verbal autopsy should be conducted for all the reported deaths of women of reproductive age group to know the circumstances leading to maternal deaths.