Seismic response from the cluster of vertical oriented cracks is simulated using grid-characteristic method on parallelepiped structured meshes. Synthetic seismograms and wave fields are calculated. The structure of the response including dependency on type of saturator (gas, fluid) is analyzed. Numerical experiments showed the effect of high-frequency daisy-chain wave’s generation from 3D periodic structures.
It is shown that the first four primes 2, 3, 5, 7 generate finite subsets of primes, assuming the principle of interchangeability. In is established that any prime p(11 p 41, p 19), added together with two preceding primes generates a prime and that any prime p (5 p 31, p 13), added together with two consequent primes generates also a prime.
Web resources’ technical availability is reviewed. Criteria and principles of web resources’ technical availability are stated.
An approach to model a production venture in the shape of mathematical operator was presented. This operator is working from a vector space which represents production implements to a space which consist of vectors of prepared production. The definition of norm of this operator was introduced and his certain features were analysed.
A three-parametrical family of ellipsoids in three-dimensional affine space with special geometric properties is considered. A geometrical model of this manifold is constructed.