A second look at the toric h-polynomial of a cubical complex

We provide an explicit formula for the toric $h$-contribution of each cubical shelling component, and a new combinatorial model to prove Clara Chan's result on the non-negativity of these contributions. Our model allows for a variant of the Gessel-Shapiro result on the $g$-polynomial of the cubical lattice, this variant may be shown by simple inclusion-exclusion. We establish an isomorphism between our model and Chan's model and provide a reinterpretation in terms of noncrossing partitions. By discovering another variant of the Gessel-Shapiro result in the work of Denise and Simion, we find evidence that the toric $h$-polynomials of cubes are related to the Morgan-Voyce polynomials via Viennot's combinatorial theory of orthogonal polynomials.Comment: Minor correction

Identification of Phytochemical Constituents of Aegle marmelos Responsible for Antimicrobial Activity against Selected Pathogenic Organisms

Antimicrobial activity and phytochemical constituents of an ethanolic extract of Aegle marmelos were investigated. The phytochemical screening of the crude extract revealed the presence of Alkaloids, Cardiac glycosides, Terpenoids, Saponins, Tannis, Flavonoids, and Steroids. The crude ethanolic extract was tested for antimicrobial activity against gram positive organisms of Bacillus subtilis (NCIM: 3471), Staphylococcus aureus (NCIM: 2079), gram negative Escherichia coli (NCIM: 2065) and Pseudomonas aeruginosa (NCIM: 2200) at different concentrations levels of 0.5, 1.0, 1.5, 2.0 and 2.5 mg/ml. At the 2.5 mg/ml concentration, gram negative Escherichia coli exhibits a zone of inhibition about 25.7mm; Pseudomonas aeruginosa 19.9mm; gram positive Staphylococcus aureus 29.0 mm; and Bacillus subtilis, a maximum zone of inhibition about 28.1 mm as compared to the control drug penicillin. Escherichia coli, Pseudomonas aeruginosa and Bacillus subtilis exhibit a maximum zone of inhibition, hence they were considered as susceptible to the plant extracts but Staphylococcus aureus doesn’t exhibit such a zone of inhibition and is therefore considered as resistant

STUDY OF THE EFFECTS OF ETHANOL AS AN ADDITIVE WITH A BLEND OF POULTRY LITTER BIODIESEL AND ALUMINA NANOPARTICLES ON A DIESEL ENGINE

With the increasing population and rise in industrialization, the demand for petroleum reserves is increasing almost daily. This is causing depletion of the non‐renewable energy resources. This work aims to find an alternative fuel for diesel engines. The use of poultry litter oil biodiesel obtained from poultry industry waste, which is a non‐edible source for biodiesel, is very encouraging as an alternative fuel for diesel engines. The aim of this study is to observe and maximize the performance of poultry litter oil biodiesel by adding alumina nanoparticles and ethanol. The biodiesel is prepared with acid and the base catalysed transesterification of poultry litter oil with methanol using concentrated sulphuric acid and potassium hydroxide as catalysts. The experimentation is carried out on a CI engine with three different blends – B20 biodiesel blend, B20 biodiesel blend with 30 mg/L alumina nanoparticles, and B20 biodiesel blend with 30 mg/L alumina nanoparticles and 15 ml/L ethanol. The performance, combustion and emission characteristics of all three blends are compared with neat diesel. The results of the experiment show that ethanol as an additive improves the combustion and performance characteristics. It increases the brake thermal efficiency and peak cylinder pressure. It also reduces CO and UBHC emissions and there is a marginal increase in NOx emissions as compared to neat diesel. S rostoucím počtem obyvatel a nárůstem industrializace se den za dnem zvyšuje poptávka po ropných rezervách. To způsobuje vyčerpávání neobnovitelných zdrojů energie. Tato práce si klade za cíl nalézt alternativní palivo pro dieselové motory. Použití bionafty získané z oleje z použité podestýlky z chovů drůbeže, která představuje nekonzumovatelný zdroj pro výrobu bionafty jako alternativní palivo pro dieselové motory, je velmi slibné. Cílem této studie je pozorovat a maximalizovat výkon bionafty z oleje z použité drůbeží podestýlky přidáním nanočástic oxidu hlinitého a etanolu. Bionafta je připravována kyselinou a zásadou katalyzovanou transesterifikací oleje z použité drůbeží podestýlky a metanolem, kde jsou jako katalyzátory použity koncentrovaná kyselina sírová resp. draselný louh. Experimentace se provádí na vznětovém motoru s třemi různými druhy směsi – směs bionafty B20, směs bionafty B20 s 30 mg/L nanočástic oxidu hlinitého a směs bionafty B20 s 30 mg/L nanočástic oxidu hlinitého a 15 ml/L etanolu. Parametry výkonu, spalování a emisí všech tří směsí jsou srovnávány dieselovým palivem (naftou) bez přísad. Výsledky experimentu ukazují, že etanol jako aditivum zlepšuje parametry spalování a výkonu. Zvyšuje brzdnou tepelnou účinnost a maximální tlak ve válci. Dále snižuje emise CO a nespálených uhlovodíků, přičemž je zde marginální zvýšení emisí NOx oproti naftě bez přísad

Model atmosphere analysis of the extreme DQ white dwarf GSC2U J131147.2+292348

A new model atmosphere analysis for the peculiar DQ white dwarf discovered by Carollo et al. (2002) is presented. The effective temperature and carbon abundance have been estimated by fitting both the photometric data (UBJ,VRF,IN,JHK) and a low resolution spectrum (3500<lambda<7500 A) with a new model grid for helium-rich white dwarfs with traces of carbon (DQ stars). We estimate Teff ~ 5120 +/- 200 K and log[C/He] ~ -5.8 +/- 0.5, which make GSC2U J131147.2+292348 the coolest DQ star ever observed. This result indicates that the hypothetical transition from C2 to C2H molecules around Teff = 6000 K, which was inferred to explain the absence of DQ stars at lower temperatures, needs to be reconsidered.Comment: 4 pages, 2 figures, accepted for publication in Astronomy and Astrophysics Letter

No Eigenvalue in Finite Quantum Electrodynamics

We re-examine Quantum Electrodynamics (QED) with massless electron as a finite quantum field theory as advocated by Gell-Mann-Low, Baker-Johnson, Adler, Jackiw and others. We analyze the Dyson-Schwinger equation satisfied by the massless electron in finite QED and conclude that the theory admits no nontrivial eigenvalue for the fine structure constant.Comment: 13 pages, Late

Methyl 2-(4-hy­droxy­benzo­yl)benzoate

In the title compound, C15H12O4, the dihedral angle between the benzene rings is 64.0 (6)°. In the crystal, mol­ecules are linked by O—H⋯O hydrogen bonds, forming C(8) chains propagating in [10] and the packing is reinforced by weak C—H⋯O inter­actions

Opipramolium fumarate

In the crystal structure of the title salt {systematic name: 4-[3-(5H-dibenz[b,f]azepin-5-yl)prop­yl]-1-(2-hy­droxy­eth­yl)piperazin-1-ium (2Z)-3-carb­oxy­prop-2-enoate}, C23H30N3O+·C4H3O4 −, the piperazine group in the opipramol cation is protonated at only one of the N atoms. In the cation, the dihedral angle between the two benzene rings is 53.5 (6)°. An extensive array of inter­molecular O—H⋯O, O—H⋯N and N—H⋯O hydrogen bonds and weak inter­molecular N—H⋯O, C—H⋯O and C—H⋯π inter­actions dominate the crystal packing

9-[3-(Dimethyl­amino)­prop­yl]-2-trifluoro­meth­yl-9H-thioxanthen-9-ol

In the title compound, C19H20F3NOS, the dihedral angle between the mean planes of the two benzene rings attached to the thioxanthene ring is 41.8 (7)°; the latter has a slightly distorted boat conformation. The F atoms are disordered over three sets of sites [occupancy ratio = 0.564 (10):0.287 (10):0.148 (5)] and the methyl groups are disordered over two sets of sites [occupancy ratio = 0.72 (4):0.28 (4)]. The crystal packing is stabilized by O—H⋯N and C—H⋯S hydrogen bonds and weak C—H⋯Cg inter­actions

2,2-Diphenyl-4-(piperidin-1-yl)butanamide

In the title compound, C21H26N2O, the dihedral angle between the mean planes of the two benzene rings is 81.1 (9)°. The piperidine ring is in a chair conformation. The crystal packing is stabilized by N—H⋯N and N—H⋯O hydrogen bonds and weak inter­molecular C—H⋯O inter­actions

2,2-Diphenyl­acetamide

In the title compound, C14H13NO, which has two mol­ecules in the asymmetric unit, the dihedral angles between the mean planes of the benzene rings are 84.6 (7) and 85.0 (6)°. N—H⋯O hydrogen bonds [forming R 2 2(8) ring motifs] and C—H⋯O hydrogen bonds dominate the crystal packing, forming zigzag chains parallel to the a axis. In addition, weak inter­molecular C—H⋯π inter­actions are observed