By studying the N =3D 1 holographic minimal model at the critical level, we obtain the lowest N =3D 2 higher spin multiplet of spins in terms of two adjoint fermion types for generic N. We subsequently determine operator product expansions (between the lowest and second lowest (N =3D 2) higher spin multiplet of spins, and the corresponding Vasiliev's oscillator formalism with matrix generalization on AdS(3) higher spin theory in the extension of OSp(2|2) superconformal algebra. Under the large N limit (equivalent to large central charge) in the extension of N =3D 2 superconformal algebra in two dimensions, operator product expansions provide asymptotic symmetry algebra in AdS(3) higher spin theory.

Tight-binding molecular dynamics simulations are carried out to analyse the thermal stability of the carbon [n,5] prismanes with n=3D2-4 over a wide temperature range. The results obtained demonstrate that the isomerisation activation energy as well as the frequency factor in the Arrhenius equation of these metastable nanostructures rapidly decreases with an increase of n. Therefore, the increase in the effective length of [n,5] prismane leads to the decrease in its lifetime up to the moment of its isomerisation. Nevertheless, the stability of [n,5] prismanes is confirmed to be sufficient for their existence at the liquid-nitrogen temperature. The main identified mechanism of [n,5] prismanes isomerisation is the interlayer C-C bond breaking leading to their transformation to the hypostrophene-based molecular systems.

Recently, we have identified a randomized quartet phylogeny algorithm that has O(n log n) runtime with high probability, which is asymptotically optimal. Our algorithm has high probability of returning the correct phylogeny when quartet errors are independent and occur with known probability, and when the algorithm uses a guide tree on O(log log n) taxa that is correct with high probability. In practice, none of these assumptions is correct: quartet errors are positively correlated and occur with unknown probability, and the guide tree is often error prone. Here, we bring our work out of the purely theoretical setting. We present a variety of extensions which, while only slowing the algorithm down by a constant factor, make its performance nearly comparable to that of Neighbour Joining, which requires Theta (n(3)) runtime in existing implementations. Our results suggest a new direction for quartet-based phylogenetic reconstruction that may yield striking speed improvements at minimal accuracy cost. An early prototype implementation of our software is available at http://www.cs.uwaterloo.ca/similar to jmtruszk/qtree.tar.gz.

The T-N theory is a non-Lagrangian theory with SU(N)(3) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) xU(1), it becomes TN-1 theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)' s are both broken to U(1) (N-1), the theory becomes a linear quiver. We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures.

This note contains a combinatorial construction of symmetries arising in symplectic geometry (partially wrapped or infinitesimal Fukaya categories), algebraic geometry (derived categories of singularities), and K-theory (Waldhausen's S-construction). Our specific motivation (in the spirit of expectations of Kontsevich) is a combinatorial construction of categorical quantizations of Lagrangian skeleta of symplectic manifolds. The main result of this paper gives an immediate solution in the one-dimensional case of ribbon graphs. (C) 2014 Elsevier Inc. All rights reserved.

The crystal and molecular structure of (E)-N,N?dicyclohexylacetamidine (1) is described. Crystalline material of 1 was obtained by sublimation. Single-crystal X-ray analysis revealed a centrosymmetric triclinic structure (space group ) with six molecules in the asymmetric unit (Z?#xA0;= 6). The six crystallographically distinct molecules all exhibit an E-syn structure, but differ in the orientation of the cyclohexyl groups about the central acetamidine moiety. In the crystal, the molecules form polymeric helices via NH?N hydrogen bonds. The crystal structure comprises two crystallographically distinct helices of opposite handedness (P and M form). The characterisation of 1 in the solid-state is augmented by powder X-ray diffraction, infrared spectroscopy and thermal analysis. Density functional theory (DFT) structure optimisation and frequency calculation were performed at the B3LYP/cc-pVTZ level. The DFT results for the isolated molecule are compared with the experimental results for the solid-state.

In this paper, we establish a WP-Bailey lattice. By iterating this method, we obtain a transformation formula for WP-Bailey pairs. By considering the unit WP-Bailey pair, several new transformation formulas are given. In particular, we give a new Andrews-Gordon identity.

We define a new large N limit for general {U}(N)<^>{R}$$\end{document} invariant tensor models, based on an enhanced large N scaling of the coupling constants. The resulting large N expansion is organized in terms of a half-integer associated with Feynman graphs that we call the index. This index has a natural interpretation in terms of the many matrix models embedded in the tensor model. Our new scaling can be shown to be optimal for a wide class of non-melonic interactions, which includes all the maximally single-trace terms. Our construction allows to define a new large D expansion of the sum over diagrams of fixed genus in matrix models with an additional , we identify in detail the leading order graphs for R a prime number. This slightly surprising condition is equivalent to the complete interaction being maximally single-trace.

Background and aims Modern agriculture is driving the release of excessive amounts of reactive nitrogen (N) from the soils to the environment, thereby threatening ecological balances and functions. The amendment of soils with biochar has been suggested as a promising solution to regulate the soil N cycle and reduce N effluxes. However, a comprehensive and quantitative understanding of biochar impacts on soil N cycle remains elusive. Methods A meta-analysis was conducted to assess the influence of biochar on different variables involved in soil N cycle using data compiled across 208 peer-reviewed studies. Results On average, biochar beneficially increases symbiotic biological N-2 fixation (63%), improves plant N uptake (11%), reduces soil N2O emissions (32%), and decreases soil N leaching (26%), but it poses a risk of increased soil NH3 volatilization (19%). Biochar-induced increase in soil NH3 volatilization commonly occurs in studies with soils of low buffering capacity (soil pH <=3D 5, organic carbon <=3D 10 g kg(-1), or clay texture), the application of high alkaline biochar (straw- or manure-derived biochar), or biochar at high application rate (> 40 t ha(-1)). Besides, if the pyrolytic syngas is not purified, the biochar production process may be a potential source of N2O and NOx emissions which correspond to 2-4% and 3-24% of the feedstock-N, respectively. Conclusions This study suggests that to make biochar beneficial for decreasing soil N effluxes, clean advanced pyrolysis technique and adapted use of biochar are of great importance.

Computing the complexity of Markov bases is an extremely challenging problem; no formula is known in general and there are very few classes of toric ideals for which the Markov complexity has been computed. A monomial curve C in A(3) has Markov complexity m(C) two or three. Two if the monomial curve is complete intersection and three otherwise. Our main result shows that there is no d is an element of N such that m(C) <=3D d for all monomial curves C in A(4). The same result is true even if we restrict to complete intersections. We extend this result to all monomial curves in A(n), where n >=3D 4. (C) 2019 Elsevier B.V. All rights reserved.

Inspired by the work of Zhefei He and Mingjin Wang which was published in the Journal of Inequalities and Applications in 2015, this paper further generalizes some related results to the case of multidimensional random variables. The resulting inequality for covariance is then applied to different multidimensional statistical distributions (multiuniform, multinomial, and multinormal). Coordinate dependence of the inequality is also examined. The obtained formulas could be useful for making estimates in multivariate statistics.

In this extended note we give a precise definition of fully extended topological field theories a la Lurie. Using complete n -fold Segal spaces as a model, we construct an (infinity, n)-category of n -dimensional bordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure and show that we can recover the usual category of bordisms.