background and objective: the current study was undertaken to check in vitro different characteristics of lactobacillus plantarum as potential probiotic. these characteristics include viability of probiotic and ph during cold storage, tolerance to acid and bile, and antibiotic resistance. material and methods: samples of yogurt were stored at 4°c and analyzed in time 0, 1, 3, 7, 10 and 14 days ...

We shall describe two general methods for proving lower bounds on the lengths of proofs in propositional calculus and give examples of such lower bounds. One of the methods is based on interactive proofs where one player is claiming that he has a falsifying assignment for a tautology and the second player is trying to convict him of a lie. The second method is based on boolean valuations. For t...

Search engines are still the most important gates for information search in internet. In this regard, providing the best response in the shortest time possible to the user's request is still desired. Normally, search engines are designed for adults and few policies have been employed considering teen users. Teen users are more biased in clicking the results list than are adult users. This leads...

Building on techniques recently introduced by the second author, and further developed first we show that a positive integer $N$ may be rigorously deterministically factored into primes in at most \[ O\left( \frac{N^{1/5} \log^{16/5} N}{(\log\log N)^{3/5}}\right) \] bit operations. This improves previous best known result factor of $(\log \log N)^{3/5}$.