Based on the relevant statistical data of 2008,taking regional technological innovation ability of Changzhutan “3+5” urban agglomeration as a study object , constructing the objective and comprehensive index system of regional technological innovation ability, combining Analytic Hierarchy Process(AHP) and fuzzy, this paper conducts a comprehensive evaluation of the technological innovation abil...

The paper presents a family of cycloidal cyclical surfaces, which are created by a movement of a circle alongside the special spatial cycloidal curve, where the circle is located in the curve normal plane and its centre is on this curve. The spatial cycloidal curve can be created by simultaneous revolution of a point about three different axes 3o,2 o and 1o in the space. The form of the cycloid...

We consider the Diophantine problem of Frobenius for semigroup S ( d ) where d denotes the tuple (d1, d2, d3), gcd(d1, d2, d3) = 1. Based on the Hadamard product of analytic functions [17] we have found the analytic representation for the diagonal elements akk ( d ) of the Johnson’s matrix of minimal relations [12] in terms of d1, d2, d3. Bearing in mind the results of the recent paper [10] thi...

This paper introduces MetTeL2, a tableau prover generator producing Java code from the specification of a tableau calculus for a logical language. MetTeL2 is intended to provide an easy to use system for non-technical users and allow technical users to extend the generated

BACKGROUND Recently, the effects of nanogratings have been investigated on PC12 with respect to cell polarity, neuronal differentiation, migration, maturation of focal adhesions and alignment of neurites. METHODOLOGY/PRINCIPAL FINDINGS A synergistic procedure was used to study the mechanism of alignment of PC12 neurites with respect to the main direction of nanogratings. Finite Element simula...

A complex contagion is an infectious process in which individuals may require multiple transmissions before changing state. These are used to model behaviours if an individual only adopts a particular behaviour after perceiving a consensus among others. We may think of individuals as beginning inactive and becoming active once they are contacted by a sufficient number of active partners. These ...

In this note we study the fibers of a rational map from an algebraic point of view. We begin by describing two interpretations of the word ‘fiber’. Let S = k[x0, . . . , xn] be a polynomial ring over an infinite field k, I ⊂ S an ideal generated by an r+1-dimensional vector space W of forms of the same degree, and φ the associated rational map P → P = P(W ). We will use this notation throughout...