Introduction and acknowledgements: Consider a cover φ : X → Px of the Riemann sphere (uniformized by x) by a projective nonsingular curve X with r > 2 branch points. Assume that both the curves and the map are defined over Q. Generalizing Serre [Se] we consider not necessarily Galois covers with any number r of branch points (not necessarily in R). We show how to compute the action of complex c...

conclusions according to the factory noise map, except for the control rooms with 81 dba noise, other cases of measuring stations were higher than the standard exposure of 85 dba noise. as a result, the implementation of control strategies, such as inspection and performance of control systems and insulation of the control room to prevent unnecessary exposure noise, are necessary. background st...

Extractive distillation is one of the efficient techniques for separating azeotropic and low-relativevolatility mixtures in various chemical industries. This paper first provides an overview of thermodynamic insight covering residue curve map analysis, the application of univolatility and unidistribution curves, and thermodynamic feasibility study. The pinch-point analysis method combining bifu...

In this paper, we are concerned with protecting elliptic curve computation in a tamper proof device by protecting finite field computation against active side channel attacks, i.e., fault attacks. We propose residue representation of the field elements for fault tolerant Montgomery residue representation multiplication algorithm, by providing fault models for fault attacks, and countermeasures ...

Models of spatial attention are often based on the concept of a salience map. In computational cognitive neuroscience, such maps are implemented as a collection of nodes with self-excitation and lateral inhibition between all nodes (competitive interaction map). Here, we test some critical predictions of this idea. We argued that task demands, more precisely the level of attention required, can...

Let 3E2(a1, a2, a3; b1, b2) denote the generalized hypergeometric differential equation of rank three with parameters (a1, a2, a3, b1, b2), which is defined on the projective line P(x) with reuglar singularities at x = 0, 1,∞. Any set of linearly independent solutions defines a multi-valued map from P − {0, 1,∞} to the projective plane P called the Schwarz map. The image of this map is locally ...

Considerable effort has been devoted in the literature to the synthesis of one-dimensional, periodic, binary and nonbinary sequences having small values for their out-of-phase autoeorrelation functions. This paper considers the synthesis of two-dimensional, periodic, binary and nonbinary sequences (arrays) which exhibit similar properties for their two-dimensional autocorrelation functions. The...