SOME RESULTS ON SEMI-REFLEXIVITY AND REFLEXIVITY IN LOCALLY CONVEX SPACES

In this paper we discuss that if E[] is a barreled space such that every bounded subset of E is relatively compact, then E[] is reflexive, and that a barreled space E[τ] in which there is a denumerable system of convex compact subsets is reflexive. We also discuss Some hereditary-type properties of reflexive locally convex spaces. Keywords: Bornological space, barreled, hereditarily-reflexive, M-space, quasi-complete, reflexive, strong dual. AMS (2010) Mathematics Subject Classification: 46A25

Effects of sowing dates and irrigation regimes on grain quality of wheat grown under semi-arid condition of India

An experiment was conducted with aim to investigate the effect of sowing dates and irrigation regimes on wheat grain quality. There was four sowing dates [November 1(S1), November 16 (S2), December 1(S3) and December 16 (S4)], in main plots and four irrigation regimes [25% (I1), 50% (I2) and 75% (I3) maximum allowable depletion (MAD) of available soil moisture (ASM) and I4 – four critical growth stages in sub plots. The results revealed that hectolitre weight decreased from 80.2 and 81.4 kg hl-1 in S1 treatment to 78.3 and 79.4 kg hl-1 in S4 treatment and 79.9 and 81.5 kg hl-1 in I1 treatment to 79.0 and 79.9 kg hl-1 in I3 treatment in 2010-11 and 2011-12, respectively. Grain hardness outcome was ?75 in 2010-11 while it was <75 in 2011-12 irrespective of sowing dates and irrigation regimes. The highest percentage of flour recovery obtained in S1 treatment (68.2 and 63.2%) and I1 treatment (68.0 and 62.8%) with lowest coarse bran. On average, dry gluten content increased by 16.5 and 7.1% in S4 over S1 treatment in 2010-11 and 2011-12, respectively. Grain protein content increased from 11.9 and 12.8% in S1 treatment to 12.6 and 13.8% in S4 treatment in respective seasons. The milling and technological properties in S2 and I2 treatment was at par with S1 and I2 treatment. Therefore, it may be inferred that optimum milling and technological properties of wheat grain can be maintained by sowing till mid-November and irrigation scheduling up to 50% depletion of ASM

The Effects of Extended Depletion Region on Noise Modeling of HEMT ’s

In this paper we present a high frequency noise model for short channel HEMTs.This model takes into account the effect of depletion region that extends into gate to drain spacing.The effect of this high field extension region on the noise performance of three HEMT structures is analytically calculated and compared with measured data

Pregabalin for Postoperative pain in patients undergoing spinal surgery: A Dose ranging randomized clinical study

Background: The efficacy of pregabalin in acute post-surgical pain management is well demonstrated. As, the use of pregabalin is officially not approved and hence, there is no dosing guideline as well. Aim: To determine whether single preoperative administration of different doses of pregabalin (150 mg to 300mg) could decrease postoperative pain intensity following spinal surgery. Materials and Method: In this prospective, randomized double-blinded study, a total 60 patients undergoing spinal surgery were selected and randomly assigned any of these four groups of 15 each; group A (received placebo drug), group B (received pregabalin 150mg), group C (received pregabalin 200mg) and group D (received pregabalin 300mg). All the groups received the said drugs (coded as it was double-blinded study) in the same manner and two hours prior to operation. The patients were followed for pain scores on visual analogue scale (VAS), time to rescue analgesia and side effects as secondary outcomes. Results: Patients in pregabalin dose ranging group had lower pain in the initial hour of recovery. However, the pain scores subsequently decreased and became similar in all groups. Time for the requirement for analgesic was longer in pregabalin 300mg group when compared with other study groups. Conclusion: A single dose of 300 mg pregabalin given 1–2 hours prior to surgery is superior to placebo after spinal surgery

Measurement of the azimuthal anisotropy of Y(1S) and Y(2S) mesons in PbPb collisions at √S^{S}NN = 5.02 TeV

The second-order Fourier coefficients (υ$_{2}$) characterizing the azimuthal distributions of Υ(1S) and Υ(2S) mesons produced in PbPb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV are studied. The Υmesons are reconstructed in their dimuon decay channel, as measured by the CMS detector. The collected data set corresponds to an integrated luminosity of 1.7 nb$^{-1}$. The scalar product method is used to extract the υ$_{2}$ coefficients of the azimuthal distributions. Results are reported for the rapidity range |y| < 2.4, in the transverse momentum interval 0 < p$_{T}$ < 50 GeV/c, and in three centrality ranges of 10–30%, 30–50% and 50–90%. In contrast to the J/ψ mesons, the measured υ$_{2}$ values for the Υ mesons are found to be consistent with zero

Measurement of prompt D0^{0} and D‾\overline{D}0^{0} meson azimuthal anisotropy and search for strong electric fields in PbPb collisions at root SNN\sqrt{S_{NN}} = 5.02 TeV

The strong Coulomb field created in ultrarelativistic heavy ion collisions is expected to produce a rapiditydependent difference (Av2) in the second Fourier coefficient of the azimuthal distribution (elliptic flow, v2) between D0 (uc) and D0 (uc) mesons. Motivated by the search for evidence of this field, the CMS detector at the LHC is used to perform the first measurement of Av2. The rapidity-averaged value is found to be (Av2) = 0.001 ? 0.001 (stat)? 0.003 (syst) in PbPb collisions at ?sNN = 5.02 TeV. In addition, the influence of the collision geometry is explored by measuring the D0 and D0mesons v2 and triangular flow coefficient (v3) as functions of rapidity, transverse momentum (pT), and event centrality (a measure of the overlap of the two Pb nuclei). A clear centrality dependence of prompt D0 meson v2 values is observed, while the v3 is largely independent of centrality. These trends are consistent with expectations of flow driven by the initial-state geometry. ? 2021 The Author. Published by Elsevier B.V. This is an open access article under the CC BY licens

Performance of the CMS Level-1 trigger in proton-proton collisions at √s = 13 TeV

At the start of Run 2 in 2015, the LHC delivered proton-proton collisions at a center-of-mass energy of 13\TeV. During Run 2 (years 2015–2018) the LHC eventually reached a luminosity of 2.1× 10$^{34}$ cm$^{-2}$s$^{-1}$, almost three times that reached during Run 1 (2009–2013) and a factor of two larger than the LHC design value, leading to events with up to a mean of about 50 simultaneous inelastic proton-proton collisions per bunch crossing (pileup). The CMS Level-1 trigger was upgraded prior to 2016 to improve the selection of physics events in the challenging conditions posed by the second run of the LHC. This paper describes the performance of the CMS Level-1 trigger upgrade during the data taking period of 2016–2018. The upgraded trigger implements pattern recognition and boosted decision tree regression techniques for muon reconstruction, includes pileup subtraction for jets and energy sums, and incorporates pileup-dependent isolation requirements for electrons and tau leptons. In addition, the new trigger calculates high-level quantities such as the invariant mass of pairs of reconstructed particles. The upgrade reduces the trigger rate from background processes and improves the trigger efficiency for a wide variety of physics signals

Measurement of the Y(1S) pair production cross section and search for resonances decaying to Y(1S)μ⁺μ⁻ in proton-proton collisions at √s = 13 TeV

The fiducial cross section for Y(1S)pair production in proton-proton collisions at a center-of-mass energy of 13TeVin the region where both Y(1S)mesons have an absolute rapidity below 2.0 is measured to be 79 ± 11 (stat) ±6 (syst) ±3 (B)pbassuming the mesons are produced unpolarized. The last uncertainty corresponds to the uncertainty in the Y(1S)meson dimuon branching fraction. The measurement is performed in the final state with four muons using proton-proton collision data collected in 2016 by the CMS experiment at the LHC, corresponding to an integrated luminosity of 35.9fb$^{-1}$. This process serves as a standard model reference in a search for narrow resonances decaying to Y(1S)μ$^{+}$μ$^{-}$ in the same final state. Such a resonance could indicate the existence of a tetraquark that is a bound state of two bquarks and two b̅ antiquarks. The tetraquark search is performed for masses in the vicinity of four times the bottom quark mass, between 17.5 and 19.5GeV, while a generic search for other resonances is performed for masses between 16.5 and 27GeV. No significant excess of events compatible with a narrow resonance is observed in the data. Limits on the production cross section times branching fraction to four muons via an intermediate Y(1S)resonance are set as a function of the resonance mass