446 research outputs found

    Equivelar and d-Covered Triangulations of Surfaces. I

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    We survey basic properties and bounds for qq-equivelar and dd-covered triangulations of closed surfaces. Included in the survey is a list of the known sources for qq-equivelar and dd-covered triangulations. We identify all orientable and non-orientable surfaces MM of Euler characteristic 0>χ(M)2300>\chi(M)\geq -230 which admit non-neighborly qq-equivelar triangulations with equality in the upper bound q12(5+4924χ(M))q\leq\Bigl\lfloor\tfrac{1}{2}(5+\sqrt{49-24\chi (M)})\Bigl\rfloor. These examples give rise to dd-covered triangulations with equality in the upper bound d212(5+4924χ(M))d\leq2\Bigl\lfloor\tfrac{1}{2}(5+\sqrt{49-24\chi (M)})\Bigl\rfloor. A generalization of Ringel's cyclic 7mod127{\rm mod}12 series of neighborly orientable triangulations to a two-parameter family of cyclic orientable triangulations Rk,nR_{k,n}, k0k\geq 0, n7+12kn\geq 7+12k, is the main result of this paper. In particular, the two infinite subseries Rk,7+12k+1R_{k,7+12k+1} and Rk,7+12k+2R_{k,7+12k+2}, k1k\geq 1, provide non-neighborly examples with equality for the upper bound for qq as well as derived examples with equality for the upper bound for dd.Comment: 21 pages, 4 figure

    Micronutrients and phytochemicals content in various rice (Oryza sativa Linn.) samples control carbohydrate digestion variedly and present differential antioxidant activities: an in vitro appraisal

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    High starch and carbohydrate content in rice (Oryza sativa Linn.) disparages this food responsible for postprandial hyperglycemic excursions. However, rice is an Asian food synonym. Additionally, in traditional Indian healing practices, rice is used for treatment of various disorders. In this research, we analyzed micronutrient and phytochemical contents in different rice samples available in market. Effect of aqueous-ethanol extract of each type of rice was evaluated against intestinal α-glucosidase to examine extract’s influence on carbohydrate digestion. Free-radicals scavenging activities as a measure of antioxidant potential in different rice were also examined. Brown-rice presented highest (54%) α-glucosidase inhibition followed by parboiled-rice (52%), idly-rice (48%), hand-pounded rice (42%), dosa-rice (40%) and basmati-rice (39%). Polished white sona-masoori rice presented least enzyme inhibitory (31%) activity. Presence of higher α-glucosidase inhibitory activity was regarded as slow digesting rice that would impart lesser postprandial glycemic excursion. Brown and parboiled-rice presented highest ABTS֗+ radical scavenging (74%) activity whereas; idly-rice displayed highest DPPH scavenging (50%) activity. Higher polyphenol and niacin contents in rice were found significantly (p<0.0001 and p<0.01 respectively) correlated with enzyme inhibitory activity. Higher polyphenol content was found responsible for enhanced free-radicals scavenging activity. Increasing concentrations of niacin and pantothenic acid correlated with ABTS֗+ radical scavenging activity

    Micronutrients and phytochemicals content in various rice (Oryza sativa Linn.) samples control carbohydrate digestion variedly and present differential antioxidant activities: an in vitro appraisal

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    821-831High starch and carbohydrate content in rice (Oryza sativa Linn.) disparages this food responsible for postprandial hyperglycemic excursions. However, rice is an Asian food synonym. Additionally, in traditional Indian healing practices, rice is used for treatment of various disorders. In this research, we analyzed micronutrient and phytochemical contents in different rice samples available in market. Effect of aqueous-ethanol extract of each type of rice was evaluated against intestinal α-glucosidase to examine extract’s influence on carbohydrate digestion. Free-radicals scavenging activities as a measure of antioxidant potential in different rice were also examined. Brown-rice presented highest (54%) α-glucosidase inhibition followed by parboiled-rice (52%), idly-rice (48%), hand-pounded rice (42%), dosa-rice (40%) and basmati-rice (39%). Polished white sona-masoori rice presented least enzyme inhibitory (31%) activity. Presence of higher α-glucosidase inhibitory activity was regarded as slow digesting rice that would impart lesser postprandial glycemic excursion. Brown and parboiled-rice presented highest ABTS֗+ radical scavenging (74%) activity whereas; idly-rice displayed highest DPPH scavenging (50%) activity. Higher polyphenol and niacin contents in rice were found significantly (p+ radical scavenging activity

    Analysis of Yield Attributing Characters of Different Genotypes of Wheat in Rupandehi, Nepal

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    Field experiment was conducted at National Wheat Research Program, Bhairahawa, Rupandehi with the objective to identify high yielding superior wheat genotypes for Rupandehi district of Nepalduring 2014. Experiment was laid out in one factorial Randomized completely block design with ten wheat genotypes including both released and promising; Annapurna 1, Annapurna 3, Pasang Lahmu, Bijaya, BL 3623, Bhirkuti, NL 297, BL 4316, BL 3978 and BL 4347with three replications. The results showed that the grain yield of BL 3978 was found higher (4.03 t ha-1) than other genotypes followed by BL 4347 (3.93t ha-1). BL 3978 have also higher number of effective tillers m-2 and test weight. Among release varieties, NL 297 show higher yield (4 t ha-1) followed by Bhirkuti (3.43 t ha-1)and Bijaya (3.37 t ha-1). From this experiment it can be concluded that BL 3978 was found promising among all genotypes however should be tested at on-farms before promoted for general cultivation in Rupandehi district of Nepal

    All-sky search for gravitational wave emission from scalar boson clouds around spinning black holes in LIGO O3 data

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    This paper describes the first all-sky search for long-duration, quasimonochromatic gravitational-wave signals emitted by ultralight scalar boson clouds around spinning black holes using data from the third observing run of Advanced LIGO. We analyze the frequency range from 20 to 610 Hz, over a small frequency derivative range around zero, and use multiple frequency resolutions to be robust towards possible signal frequency wanderings. Outliers from this search are followed up using two different methods, one more suitable for nearly monochromatic signals, and the other more robust towards frequency fluctuations. We do not find any evidence for such signals and set upper limits on the signal strain amplitude, the most stringent being ≈10−25 at around 130 Hz. We interpret these upper limits as both an “exclusion region” in the boson mass/black hole mass plane and the maximum detectable distance for a given boson mass, based on an assumption of the age of the black hole/boson cloud system

    Searches for Gravitational Waves from Known Pulsars at Two Harmonics in the Second and Third LIGO-Virgo Observing Runs

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    We present a targeted search for continuous gravitational waves (GWs) from 236 pulsars using data from the third observing run of LIGO and Virgo (O3) combined with data from the second observing run (O2). Searches were for emission from the l = m = 2 mass quadrupole mode with a frequency at only twice the pulsar rotation frequency (single harmonic) and the l = 2, m = 1, 2 modes with a frequency of both once and twice the rotation frequency (dual harmonic). No evidence of GWs was found, so we present 95% credible upper limits on the strain amplitudes h 0_{0} for the single-harmonic search along with limits on the pulsars’ mass quadrupole moments Q 22_{22} and ellipticities ε. Of the pulsars studied, 23 have strain amplitudes that are lower than the limits calculated from their electromagnetically measured spin-down rates. These pulsars include the millisecond pulsars J0437−4715 and J0711−6830, which have spin-down ratios of 0.87 and 0.57, respectively. For nine pulsars, their spin-down limits have been surpassed for the first time. For the Crab and Vela pulsars, our limits are factors of ∼100 and ∼20 more constraining than their spin-down limits, respectively. For the dual-harmonic searches, new limits are placed on the strain amplitudes C 21_{21} and C 22_{22}. For 23 pulsars, we also present limits on the emission amplitude assuming dipole radiation as predicted by Brans-Dicke theory
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