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...

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...

A telescopic curve is a certain algebraic curve defined by m − 1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n, s) curve as a special case. We extend the addition formulae for sigma functions of (n, s) curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.

The Weierstrass curve X is a smooth algebraic determined by the canonical form, yr+A1(x)yr−1+A2(x)yr−2+⋯+Ar−1(x)y+Ar(x)=0, where r positive integer, and each Aj polynomial in x with certain degree. It known that every compact Riemann surface has X, which birational to surface. form provides projection ϖr:X→P as covering space. Let RX:=H0(X,OX(∗∞)) RP:=H0(P,OP(∗∞)). Recently, we obtained explici...

Practical anonymous credential systems are generally built around sigma-protocol ZK proofs. This requires that credentials be based on specially formed signatures. Here we ask whether we can instead use a standard (say, RSA, or (EC)DSA) signature that includes formatting and hashing messages, as a credential, and still provide privacy. Existing techniques do not provide efficient solutions for ...