Short expressions of permutations as products and cryptanalysis of the Algebraic Eraser

On March 2004, Anshel, Anshel, Goldfeld, and Lemieux introduced the Algebraic Eraser scheme for key agreement over an insecure channel, using a novel hybrid of infinite and finite noncommutative groups. They also introduced the Colored Burau Key Agreement Protocol (CBKAP), a concrete realization of this scheme.     

A screw dislocation in a functionally graded material using the translation gauge theory of dislocations

The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We specify the equations of motion for a screw dislocation in a functionally graded material. The material properties are assumed to vary exponentially along the x and y-directions. In the present work we give the analytical gauge field theoretic solution to the problem of a screw dislocation in inhomogeneous media. Using the dislocation gauge approach, rigorous analytical expressions for the elastic distortions, the force stresses, the dislocation density and the pseudomoment stresses are obtained depending on the moduli of gradation and an effective intrinsic length scale characteristic for the functionally graded material under consideration.     

The motion of incompressible fluids with electrical resistivity past thin airfoils in oblique fields

Résumé Le problème de l'écoulement des fluides à résistivité électrique en présence d'un profil mince, dans le cas des champs obliques, est réduit à la résolution d'une équation intégrale du type Fredholm. L'équation peut être résolue à l'aide de la méthode des approximations successives. Dans le cas des champs alignés et dans celui des champs perpendiculaires, lorsque pourR (nombre magnétique de Reynolds) nous considérons des valeurs petites, les équations se résolvent de façon explicite et exacte. On détermine la portance dans le cas d'une plaque et on montre la manière dont la portance décroit à mesure queR augmente. On montre également que dans le cas des champs orthogonaux, la portance est plus petite que dans celui des champs alignés. De la solution générale on obtient, comme cas particulier, la solution de l'aérodynamique classique ainsi que la solution du cas du fluide à résistivité négligeable.     

Efficient utilization of inulin and glycerol as fermentation substrates in erythritol and citric acid production using <Emphasis Type="Italic">Yarrowia lipolytica</Emphasis> expressing inulinase

Inulin and glycerol were used as substrates for efficient erythritol and citric acid production by newly engineered Yarrowia lipolytica strains. Hydrolysis of inulin by the Y. lipolytica Wratislavia K1 strain was established by expressing the Kluyveromyces marxianus INU1 gene. Erythritol was produced in two stages: inulin was used for biomass formation, followed by erythritol biosynthesis initiated by glycerol addition. The highest titer of erythritol obtained, 120.9 g L^?1 with the yield of 0.6 g g^?1, was produced by the K1 INU 6 strain. Moreover, the K1 INU 6 strain in fed-batch culture produced a high amount of citric acid: 105.2 g L^?1 after 235 h from 200 g L^?1 of inulin. Maximum activity of inulinase during this culture was 14000 U g^?1 of cell dry mass. The presented study proves the potential of new Y. lipolytica transformants for efficient erythritol and citric acid production from inexpensive raw materials such as inulin and glycerol.