q-series and L-functions related to half-derivatives of the Andrews--Gordon identity

Studied is a generalization of Zagier's q-series identity. We introduce a generating function of L-functions at non-positive integers, which is regarded as a half-differential of the Andrews--Gordon q-series. When q is a root of unity, the generating function coincides with the quantum invariant for the torus knot.Comment: 21 pages, related papers can be found from http://gogh.phys.s.u-tokyo.ac.jp/~hikami

Domiciliary Treatment in lndia

DELEGATES to the NAPT Fourth Commonwealth Conference. in 1955 heard Dr. P. V. Benjamin, Adviser in Tuberculosis to the Government of India, describe the problem of tuberculosis in the country and the measures, preventive and therapeutic, being made to control it. He estimated that there were in the region of 2,5oo,ooo cases of tuberculosis causing some 5oo,ooo deaths per year. These figures may be revised as a result of the national survey of the disease now being undertaken, but it is evident that the number of available beds–some–2o,ooo–is quite insufficient to offer inpatient treatment to the majority of cases, and that in the field of treatment the only immediate and practicable approach is some form of mass domiciliary chemotherapy. This method of attack upon tuberculosis in under-developed countries has been much discussed, but little experience has been obtained in practice; moreover each country presents its own peculiar problems-and it was felt that, before embarking upon a nationwide scheme, further information should be obtained relevant to its use in Indi

Feynman-Jackson integrals

We introduce perturbative Feynman integrals in the context of q-calculus generalizing the Gaussian q-integrals introduced by Diaz and Teruel. We provide analytic as well as combinatorial interpretations for the Feynman-Jackson integrals.Comment: Final versio

The comprehensive school: its theory and history

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Asymmetric Ejecta of Cool Supergiants and Hypergiants in the Massive Cluster Westerlund 1

We report new 5.5 GHz radio observations of the massive star cluster Westerlund 1, taken by the Australia Telescope Compact Array, detecting nine of the ten yellow hypergiants (YHGs) and red supergiants (RSGs) within the cluster. Eight of nine sources are spatially resolved. The nebulae associated with the YHGs Wd1-4a, -12a and -265 demonstrate a cometary morphology - the first time this phenomenon has been observed for such stars. This structure is also echoed in the ejecta of the RSGs Wd1-20 and -26; in each case the cometary tails are directed away from the cluster core. The nebular emission around the RSG Wd1-237 is less collimated than these systems but once again appears more prominent in the hemisphere facing the cluster. Considered as a whole, the nebular morphologies provide compelling evidence for sculpting via a physical agent associated with Westerlund 1, such as a cluster wind

Multi-kilowatt modularized spacecraft power processing system development

A review of existing information pertaining to spacecraft power processing systems and equipment was accomplished with a view towards applicability to the modularization of multi-kilowatt power processors. Power requirements for future spacecraft were determined from the NASA mission model-shuttle systems payload data study which provided the limits for modular power equipment capabilities. Three power processing systems were compared to evaluation criteria to select the system best suited for modularity. The shunt regulated direct energy transfer system was selected by this analysis for a conceptual design effort which produced equipment specifications, schematics, envelope drawings, and power module configurations