Protein residue contact map is a compact representation of secondary structure of protein. Due to the information hold in the contact map, attentions from researchers in related field were drawn and plenty of works have been done throughout the past decade. Artificial intelligence approaches have been widely adapted in related works such as neural networks, genetic programming, and Hidden Marko...

Reactive residue curve maps (RRCM) are useful for the design of reactive distillation columns as a tool to establish feasible zones of reaction-separation. The calculation of RRCM usually involves great computational effort due to the nonlinearity of the model equations and its iterative nature for the determination of reactive phase equilibrium. In this study, a simplified method for the gener...

Map Generalization is one of the hotspot issues in GIS. It is the most imperative field for intelligence in GIS. The uncertainty and data quality of map generalization should be attached importance to in map generalization. The conventional methods of process of line generalization in map generalization are be introduced in this paper, and analysis decline in the quality of integrated because o...

Let E1 and E2 be Q-nonisogenous, semistable elliptic curves over Q, having respective conductors NE1 and NE2 and both without complex multiplication. For each prime p, denote by aEi(p) := p+1−#Ei(Fp) the trace of Frobenius. Under the assumption of the Generalized Riemann Hypothesis (GRH) for the convolved symmetric power L-functions L(s, SymE1 ⊗SymE2) where i, j ∈ {0, 1, 2}, we prove an explici...

Modular multiplication is the main and basic operation in public key cryptography algorithms like Elliptic Curve Cryptography (ECC). By using Residue Number System (RNS) in these algorithms, large number computation is replaced by computation over the small moduli without carry propagation between moduli. Moduli selection has an important role in the efficiency of modular multiplication. Theref...

In this paper we combine the residue number system (RNS) representation and the leakresistant arithmetic on elliptic curves. These two techniques are relevant for implementation of elliptic curve cryptography on embedded devices. It is well known that the RNS multiplication is very efficient whereas the reduction step is costly. Hence, we optimize formulae for basic operations arising in leak-r...

Let S be a Riemann surface of type (p, n) with 3p + n > 4 and n ≥ 1. Let α1, α2 ⊂ S be two simple closed geodesics such that {α1, α2} fills S. It was shown by Thurston that most maps obtained through Dehn twists along α1 and α2 are pseudo-Anosov. Let a be a puncture. In this paper, we study the family F(S, a) of pseudo-Anosov maps on S that projects to the trivial map as a is filled in, and sho...