The living world is an exciting and inexhaustible source of high performance solutions to the multitude of biological problems, which were attained as a result of a natural selection, during the millions and millions years evolution of life on Earth. This work presents and comments some examples of high performances of living beings, in the light of the universal principle governing the realm o...

Using k-Selection in Radio Networks as an example of unique-resource dispute among k unknown contenders, the conflict-resolution protocol presented in this paper shows that, for any sensible probability of error ε, all of them get access to such resource in asymptotically optimal time (e+1+ ξ)k+O(log(1/ε)), where ξ > 0 is any constant arbitrarily close to 0. This protocol works under a model wh...

investors use different approaches to select optimal portfolio. so, optimal investment choices according to return can be interpreted in different models. the traditional approach to allocate portfolio selection called a mean - variance explains. another approach is markov chain. markov chain is a random process without memory. this means that the conditional probability distribution of the nex...