A critical question concerning generative networks applied to event generation in particle physics is if the generated events add statistical precision beyond training sample. We show for a simple example with increasing dimensionality how indeed amplify statistics. quantify their impact through an amplification factor or equivalent numbers of sampled events.

at pH 6.5, 7.3, and 8.0 are summarized in Fig. 1. Intermediate results were seen at pH 7.0 and 7.6 (not shown). Immediately after the pH manipulation, the b-crosslaps increased 0.2–6.6% (P .0.05). After 2 days, all samples exhibited a significant decrease of the b-crosslaps concentrations. In the control samples, b-crosslaps decreased by 12% at 37 °C and by 5% at room temperature on the second ...

Over the years, chemists have been known to make a significant contribution to science, and to generate new chemical substances as a result of their professional activities. Over 20 million compounds have been recorded in the literature, however, because of their use in chemical processes and their disposal in waste products, only a smaller number of these compounds are available for furture us...

In the present communication, stochastic comparison of a series (parallel) system having heterogeneous components with random lifetimes and series (parallel) system having homogeneous exponential components with random lifetimes has been studied. Further, conditions under which such a comparison is possible has been established. Keywords—Exponential distribution, Order statistics, Star ordering...