We present a variation of the index calculus attack by Gaudry which can be used to solve the discrete logarithm problem in the Jacobian of hyperelliptic curves. The new algorithm has a running time which is better than the original index calculus attack and the Rho method (and other square-root algorithms) for curves of genus ≥ 3. We also describe another improvement for curves of genus ≥ 4 (sl...

A variation of the standard non-associative Lambek calculus with the slightly non-standard yet very traditional semantic interpretation turns out to straightforwardly and uniformly express the instances of non-canonical coordination while maintaining phrase structure constituents. Non-canonical coordination looks just as canonical on our analyses. Gapping, typically problematic in Categorial Gr...

the aim of the present study was to examine the periodontal condition of an adult population in three isolated regions in greece and to determine the association of periodontal disease with several demographic, behavioral and environmental factors.the study population consisted of 640 individuals, aged 20 to 69 years from three isolated regions. the following indices were assessed: pocket depth...

We define a core calculus for the purpose of investigating reasoning principles of probabilistic programming languages. By using a variation of a technique called higher-order abstract syntax (HOAS), which is common in the implementation of domain-specific languages, the calculus captures the semantics of a stochastic language with observation while being agnostic to the details of its determin...

Following the tradition of labelled sequent calculi for modal logics, we present a one-sided, cut-free sequent calculus for the bimodal logic of subset spaces. In labelled sequent calculi, semantical notions are internalised into the calculus, and we take care to choose them close to the original interpretation of the system. To achieve this, we introduce a variation of the standard method, con...

scattering of an incoming wave train by a discontinuity at the upper surface of the ocean over a uniform porous bottom of finite depth is considered here in the framework of linearized water wave theory. by employing residue calculus method, the reflection and transmission coefficient are obtained. these coefficients are computed numerically for different values of the porosity parameter g and ...

Stochastic calculus is famous for providing the foundations for modern mathematical finance and is also used extensively in a large number of other areas of applied probability. The introductory text by Øksendal [3] strikes an excellent balance between theory and accessibility. Here we give a very brief review of the underlying concepts. A central notion for stochastic calculus is that of a (co...

external fluted feed rolls are commonly used in grain drills. the fluted feed roll meters a volume of seeds and does not singulate the seeds as do the precision planters; therefore, there will be inherent variation in the number of seeds delivered per unit of time. this research was conducted to investigate the effect of seed meter drive shaft and ground speeds and outlet positions in a grain d...

one of the main distinctions between geomaterials and other engineering materials is the spatial variation of their properties in different directions. this characteristic of geomaterials -so called heterogeneity- is studied herewith. several spatial distributions are introduced to describe probabilistic variation of geotechnical properties of soils. among all, the absolute normal distribution ...