To investigate pedological criterion on land degradation in Quaternary rock units, at first, a part of the shoor watershed area was selected. After distinguishing target area, slope classes, land use and geology maps were created, then map of units were founded by overlaying and crossing these maps. In this research three indices of erodibility, salinity and permeability of soils were considere...

Investigation of desertification trend needs understanding of phenomena creating changes singly or action and reaction together in the manner that these changes were ended up in land degradation. In investigation of pedological criterion onland degradation in Quaternary rock units, first, a part of the Rude-Shoor watershed area was selected. After distinguishing target area, maps of slope class...

All real algebraic varieties that appear in the present paper are assumed to be affine (that is, isomorphic to algebraic subsets of R for some n). Morphisms between real algebraic varieties are called regular maps. For background material on real algebraic geometry the reader may consult [6]. Every real algebraic variety carries also the Euclidean topology, induced by the usual metric topology ...

It is well-known that the existence of non–algebraic Z/2–homology classes of a real algebraic manifold Y is equivalent to the existence of non–algebraic elements of the unoriented bordism group of Y and generates (first order) obstructions which prevent the possibility of realizing algebraic properties of smooth objects defined on Y . The main aim of this paper is to investigate the existence o...

A Riemann surface is associated with its Jacobian through the Abel map. Using a plane algebraic curve representation of the Riemann surface, we provide an algorithm for the numerical computation of the Abel map. Since our plane algebraic curves are of arbitrary degree and may have arbitrary singularities, the Abel map of any connected compact Riemann surface may be obtained in this way.

In this note, we study some of the simplest algebraic self-maps of projective spaces. These maps, which we call monomial maps, are in one-to-one correspondence with nonsingular integer matrices, and are closely related to toral endomorphisms. In Theorem 1 we give a lower bound for the topological entropy of monomial maps and in Theorem 2 we give a formula for algebraic entropy (as defined by Be...

Zilber's Exponential Algebraic Closedness conjecture (also known as Nullstellensatz) gives conditions under which a complex algebraic variety should intersect the graph of exponential map semiabelian variety. We prove special case where has dominant projection to domain map, for abelian varieties and tori. Furthermore, in situation intersection is 0-dimensional, we exhibit structure by parametr...