Algebraic theory of affine curvature tensors

We use curvature decompositions to construct generating sets for the space of algebraic curvature tensors and for the space of tensors with the same symmetries as those of a torsion free, Ricci symmetric connection; the latter naturally appear in relative hypersurface theory.Comment: The paper is dedicated to the memory of the first author (N. Blazic) who passed away Monday 10 October 200

Statistics of Lead Changes in Popularity-Driven Systems

We study statistical properties of the highest degree, or most popular, nodes in growing networks. We show that the number of lead changes increases logarithmically with network size N, independent of the details of the growth mechanism. The probability that the first node retains the lead approaches a finite constant for popularity-driven growth, and decays as N^{-phi}(ln N)^{-1/2}, with phi=0.08607..., for growth with no popularity bias.Comment: 4 pages, 4 figures, 2 column revtex format. Minor changes in response to referee comments. For publication in PR

The Beneficial Effects of Short-Term Rotation Systems of Winter Forage Crops with Maize on Dry Farming Land of Southwestern China

The objective of this study was to sift out the suitable and better short-term rotation systems of winter forage mixture with maize on dry farming land for the local farmers in Southwestern China. Four species of legume, Italian ryegrass and maize were used to organize six treatments for this experiment. The result showed that the three rotation systems of Astragalus sinicus (80%) + Lolium multiflorum (20%) ’ Zea mays, Medicago hisida (70%) + Lolium multiflorum (30%) ’ Zea mays and Vicia villosa (75%) + Lolium multiflorum (25%) ’ zea mays obtained good forage values (TDOM 4.06-4.36 t/ ha, CP 1.10-1.58 t/ha, ME 3.18-3.39X104 MJ/ha, Ca 33.62-52.49 kg/ha, P27.79-30.59 kg/ha) while the yields of subsequent crops were lower than that of CK under conditions not significantly different between those three treatments and CK

The Comparison of Different Short-Term Rotation Systems of Winter Forage Crops with Rice in Subtropical Plain Region of Southwestern China

The objective of this study was to explore the possibility of growing winter forage crops in the present farming system with simple grain production only in subtropical plain region of southwestern China. The result showed that the four rotation systems i.e. Astragalus sinicus (70%) + Lolium multiflorum (30%) rice, Medicago hispida (75%) + Lolium multiflorum (25%) rice, Lolium multiflorum (20%) + Vicia villosa (80%) rice and Astragalus sinicus (80%) + Brassica napus (20%) rice obtained good forage values (TDOM 3.35-4.12 t/ha, CP 1.12-1.31 t/ha, ME 2.53-3.19 X 104 MJ/ha), at the same time, obtained better rice yields (DW 6.35-7.17 t/ha) and soil condition than that of (CK) rice. These four rotation systems have been used by local farmers

Next-to-leading order diphoton+2-jet production at the LHC

We present results from a recent calculation of prompt photon-pair production in association with two jets to next-to-leading order (NLO) at the LHC. The virtual contribution is evaluated using the BlackHat library, a numerical implementation of on-shell methods for one-loop amplitudes, in conjunction with SHERPA. We study four sets of cuts: standard jet cuts, a set of Higgs-related cuts suggested by ATLAS, and corresponding sets which isolate the kinematic region where the process becomes the largest background to Higgs production via vector-boson fusion.Comment: 10 pages, 4 figures, Presented at 11th International Symposium on Radiative Corrections (RADCOR 2013), 22-27 September 2013, Lumley Castle Hotel, Durham, U

Next-to-Leading Order W + 5-Jet Production at the LHC

We present next-to-leading order QCD predictions for the total cross section and for a comprehensive set of transverse-momentum distributions in W + 5-jet production at the Large Hadron Collider. We neglect the small contributions from subleading-color virtual terms, top quarks and some terms containing four quark pairs. We also present ratios of total cross sections, and use them to obtain an extrapolation formula to an even larger number of jets. We include the decay of the $W$ boson into leptons. This is the first such computation with six final-state vector bosons or jets. We use BlackHat together with SHERPA to carry out the computation.Comment: RevTex, 27 pages, 7 figures, v2 minor corrections and corrected reference