Search log sessions contain a large number of paraphrases contributed by users during query rewriting. However, it is a big challenge to distinguish paraphrases from the simply related queries in the sessions. This paper addresses this problem by making innovative use of user behavior information embodied in query sessions. Specifically, we learn paraphrase patterns from the search log sessions...

Experiments on continuously sheared granular materials (glass spheres) with diameters 1.0 # d # 5 mm show large fluctuations in the normal stress, sstd. Experiments are carried out in an annular Couette geometry for rotation rates 0.003 , Ù u , 1 radys. Power spectra from sstd, Psvd, show rate invariance in the fluctuations: Ù uPsvd is a function only of vy Ù u, independent of Ù u. Ù uPsvd depe...

For interfacial interactions of “separable type” the existence is proved of stable multiphase equilibrium states minimizing the total energy which includes a sharp interface contribution along interfaces separating the phases. The second gradients of deformation do not occur; the theory is based on interfacial null lagrangians as determined in [11–12]. The interfacial interaction is always of s...

§0. The ordinal numbers were Georg Cantor’s deepest contribution to mathematics. After the natural numbers 0, 1, . . . , n, . . . comes the first infinite ordinal number ù, followed by ù + 1, ù + 2, . . . , ù + ù, . . . and so forth. ù is the first limit ordinal as it is neither 0 nor a successor ordinal. We follow the von Neumann convention, according to which each ordinal number α is identifi...

The design of Expressive Footwear centered on creating as dense a sensing module as possible. Originally, the motivation came from creating a dance performance in which the dancer is participating directly in the creation of music in the dance performance. In order to accomplish this, a wide variety of sensors and sensing techniques are used to quantify physical parameters of the foot. Once the...