Grain legumes convert atmospheric N2 to reactive N through symbiosis with N2-fixing rhizobia. Biological N2 fixation associated with legumes and the subsequent decomposition of legume residues are the primary processes that replenish N removed by harvest in agroecosystems without the addition of fertilizer N (Galloway et al., 1995, Peoples et al., 1995). Therefore, legumes are often included in...

R. A. Burnstein, A. Chakravorty, A. Chan, Y. C. Chen, W. S. Choong, K. Clark, T. Diehl, E. C. Dukes, C. Durandet, J. Duryea, J. Felix, G. Gidal, G. Guglielmo, H. R. Gustafson, K. Heller, C. Ho, P. M. Ho, T. Holmstrom, M. Huang, C. James, M. Jenkins, K. Johns, T. Jones, D. M. Kaplan, L. M. Lederman, N. Leros, F. Lopez, M. J. Longo, L. Lu, W. Luebke, K. Nelson, H. K. Park, J. P. Perroud, D. Rajar...

We suggest an approximation for the zero-balanced Appell hyper-geometric function F 1 near the singular point (1, 1). Our approximation can be viewed as a generalization of Ramanujan's approximation for zero-balanced 2 F 1 and is expressed in terms of 3 F 2. We find an error bound and prove some basic properties of the suggested approximation which reproduce the similar properties of the Appell...

Introduction: When G is a finite group, we may endow G×G with the structure of a probability space by assigning the uniform distribution. As was pointed out by W.H. Gustafson [10], the probability that a randomly chosen pair of elements of G commute is then k(G) |G| , where k(G) is the number of conjugacy classes of G. We denote this probability by cp(G). It was also noted in [10] that cp(G) ≤ ...

Observations of intact yeast cells with the electron microscope have yielded little information on cellular structure because of the impenetrability of the cells to the electron beam. The development of techniques for the preparation of ultra-thin sections promises to obviate this difficulty, and several papers have already appeared in which this approach has been applied in studies of the stru...

Ovaries from the spider crab, Libinia emarginata L. were studied to learn more of vitellogenesis in crustaceans. Oogonia and previtellogenic oocytes were found in the core of the ovaries. Vitellogenic oocytes are located more peripherally. Profiles of the endoplasmic reticulum are abundant in the vitellogenic oocytes. The granular and agranular reticulum as well as the Golgi complex are active ...

The universal scalability law (USL) of computational capacity is a rational function Cp = P (p)/Q(p) with P (p) a linear polynomial and Q(p) a second-degree polynomial in the number of physical processors p, that has been long used for statistical modeling and prediction of computer system performance. We prove that Cp is equivalent to the synchronous throughput bound for a machine-repairman wi...

Working group: A. Ballestrero, S. Banerjee, A. Blondel, M. Campanelli, F. Cavallari, D. G. Charlton, H. S. Chen, D. v. Dierendonck, A. Gaidot, Ll. Garrido, D. Gelé, M. W. Grünewald, G. Gustafson, C. Hartmann, F. Jegerlehner, A. Juste, S. Katsanevas, V. A. Khoze, N. J. Kjær, L. Lönnblad, E. Maina, M. Martinez, R. Møller, G. J. van Oldenborgh, J. P. Pansart, P. Perez, P. B. Renton, T. Riemann, M....

We consider the nonlinear Schrödinger equations i∂tψ = H0ψ + λ|ψ|ψ in R× [0,∞) where H0 = −∆ +V and λ = ±1. Assume that the potential V is radial and decays sufficiently fast at infinity. Assume also that the linear Hamiltonian H0 has only two discrete eigenvalues e0 < e1 < 0 where e0 is simple and e1 has multiplicities 3. We show that there exist three branches of nonlinear excited states and ...

Let G be a nite group and be a set of primes. Put d (G) = k (G)=jGj where k (G) is the number of conjugacy classes of -elements in G and jGj is the -part of the order of G. In this paper we initiate the study of this invariant by showing that if d (G) > 5=8 then G possesses an abelian Hall -subgroup, all Hall -subgroups of G are conjugate, and every -subgroup of G lies in some Hall -subgroup of...