Let F be a fully nonlinear second-order partial differential subequation of degenerate elliptic type on a manifold X. We study the question: Which closed subsets E ⊂ X have the property that every F -subharmonic function (subsolution) on X−E, which is locally bounded across E, extends to an F -subharmonic function on X. We also study the related question for F -harmonic functions (solutions) wh...

Let F be a fully nonlinear second-order partial differential subequation of degenerate elliptic type on a manifold X. We study the question: Which closed subsets E ⊂ X have the property that every F -subharmonic function (subsolution) on X − E, which is locally bounded across E, extends to an F -subharmonic function on X. We also study the related question for F harmonic functions (solutions) w...

[1] A new algorithm is developed for inverting six unknown elliptic cone model parameters from five observed CME halo parameters. It is shown that the halo parameter a includes the information on the coronal mass ejection (CME) propagation direction denoted by two model parameters. On the basis of the given halo parameter a, two approaches are presented to find out the CME propagation direction...

The analysis of differential operators on graphs is an area of current interest with a long tradition (cf. [1, 7, 8, 11], in particular the survey article [9]). In this paper we adopt the point of view that a graph is a one-dimensional manifold with conical singularities, and that a differential operator on it with smooth coefficients and regular singular points at most at the endpoints of the ...

In recent years it has been trying that with regard to the question of computational complexity of discrete logarithm more strength and less in the elliptic curve than other hard issues, applications such as elliptic curve cryptography, a blind  digital signature method, other methods such as encryption replacement DLP. In this paper, a new blind digital signature scheme based on elliptic curve...

in this paper the family of elliptic curves over q given by the equation ep :y2 = (x - p)3 + x3 + (x + p)3 where p is a prime number, is studied. itis shown that the maximal rank of the elliptic curves is at most 3 and someconditions under which we have rank(ep(q)) = 0 or rank(ep(q)) = 1 orrank(ep(q))≥2 are given.

6 [1] A new algorithm is developed for inverting six unknown elliptic cone model 7 parameters from five observed CME halo parameters. It is shown that the halo parameter 8 a includes the information on the coronal mass ejection (CME) propagation direction 9 denoted by two model parameters. On the basis of the given halo parameter a, two 10 approaches are presented to find out the CME propagatio...

Elliptic Curve Cryptosystems (ECC) have recently received significant attention by researchers due to their high performance such as low computational cost and small key size. In this paper a novel untraceable blind signature scheme is presented. Since the security of proposed method is based on difficulty of solving discrete logarithm over an elliptic curve, performance of the proposed scheme ...

Let (∞, π∞) be an incident point-plane pair of PG(3, q). A tetrad with respect to (∞, π∞) is a set {X,Y, Z,W} of points of PG(3, q) \ π∞ such that {∞, X, Y, Z,W} is a cap of PG(3, q), ∞ ∈ 〈X,Y, Z〉 and W 6∈ 〈X,Y, Z〉. A set Θ of ovoids of PG(3, q) is tetradic with respect to (∞, π∞) if each ovoid contains ∞, has tangent plane π∞ and is such that each tetrad with respect to (∞, π∞) is contained in...