background: to differentiate sarcocystis macro-cyst-forming species in slaughtered sheep in babol area, mazandaran province, sequence analysis of 18s rrna gene was performed. methods: overall, 150 slaughtered sheep were examined macroscopically in slaughterhouse, babol and intra-abdominal and diaphragm muscles tissues infected with macro-cyst of sarcocystis spp. were collected in 2013. one macr...

Let Sn be the set of all permutations {1, 2, …, n} represented in cycle notation. Define an, m to number π ∈ such that length initial longest increasing sequence (ILIS) is at most m. For fixed m, we find exponential generating function for and give an asymptotic formula when n → ∞. Moreover, show expected value total ILIS cycles over e ∑j=1 1/j.

It is proven that many public-key cryptosystems would be broken by the quantum computer. The knapsack cryptosystem which based on subset sum problem has potential to a quantum-resistant cryptosystem. Murakami and Kasahara proposed SOSI trapdoor sequence made combining shifted-odd (SO) super-increasing (SI) in modular This paper firstly show key generation method could not achieve secure density...