The uniaxial compressive strength (UCS) of intact rocks is one of the key parameters in the course of site characterizations. The isotropy/anisotropy condition of the UCS of intact rocks is dependent on the internal structure of the rocks. The rocks with a random grain structure exhibit an isotropic behavior. However, the rocks with a linear/planar grain structure generally behave transversely-...

We prove that maximum three dimensional matching is a MAX SNP-hard problem. If the number of occurrences of elements in triples is bounded by a constant the problem is MAX SNP-complete. As corollaries we prove that maximum covering by 3-sets and maximum covering of a graph by triangles are MAX SNP-hard. The problems are MAX SNP-complete if the number of occurrences of the elements and the degre...

Given a scrio of trinocular it~iirges of an object, wc: have cl~:velopcd a trrotlrod for Luildilrg 31) L.'accts arid 31) segn~cn t s nrodel of the object. Frorn each triplet, a partial rlescription of tlre object, called 3D View, is extracted. I+OIII the set of all extracted 3D Facets, a strategy for guiding the object reconstruction, based on a statistical ~ u e t l ~ o d is developed. A 3D Mn...

assume that $(n,l)$, is a pair of finite dimensional nilpotent lie algebras, in which $l$ is non-abelian and $n$ is an ideal in $l$ and also $mathcal{m}(n,l)$ is the schur multiplier of the pair $(n,l)$. motivated by characterization of the pairs $(n,l)$ of finite dimensional nilpotent lie algebras by their schur multipliers (arabyani, et al. 2014) we prove some properties of a pair of nilpoten...