Having defined for each human gene a p-value for causal amino acid substitutions in sporadic cancers, we needed a corresponding index for gene inactivation due to open reading frame shifts in exons.
This theorem includes as special cases recent results of Curto-Muhly-Xia, Ji, and Lesch, as well as classical results of Gohberg-Krein and Coburn-Douglas-Schaeffer-Singer, and provides a more direct approach to the corresponding index theorems for systems.
For each subject, we identified all prescriptions for oral glucocorticoids before the date of primary skin cancer or NHL diagnosis, or before the corresponding index date for the matched population control.
Follow up began on the date of normal upper endoscopy or the corresponding index date for controls, and ended on the date of initial diagnosis of IHD, the date of death, the date of emigration, or at the end of the study period on December 31 , 2003 whichever came first.
All columns of Z should have the same number of rows so that for the directions D i which cross less than P intervals, 0-valued components are set in Z for the corresponding indices i.
Fig 5 The WGM mode numbers for the lasing spectra and corresponding refractive indices for a circular, b square, c pentagonal TE and TM mode, and d quasi-WGM and WGM in hexagonal shape ZnO MCs.
All changing-periodic time scales can be equipped with the corresponding index functions such that for all (tinmathbb{T}) and all (omegain S_{tau_{t}}), (t+omegainmathbb{T}_{tau_{t}}subsetmathbb{T}).
