We describe and analyze a numerical algorithm for computing the homology (Betti numbers torsion coefficients) of semialgebraic sets given by Boolean formulas. The works in weak exponential time. This means that outside subset data having exponentially small measure, cost is single size data. extends work Part I to arbitrary sets. All previous algorithms proposed this problem have doubly complex...

background: this study aimed to investigate and compare the bacterial safety of handmade and commercial ready‑to‑use enteral feeding formulas used in an iranian teaching hospital. methods: in this experimental study, a total number of 70 samples (21 handmade formulas sampled at two sampling times, i.e. the time of preparation and 18 h after preparation, and 28 commercial ready‑to‑use formulas) ...