Charged Particles Transverse Momentum and Pseudorapidity Distribution in Hadronic Collisions at LHC Energies.

We present an analysis of the pseudorapidity η and transverse momentum pT distributions of charged hadrons in pp collisions for the kinematic range of 01 GeV/c at 0.9 and 2.36 TeV within the experimental errors, while Dire overshoots and Vicia undershoots the data by 50% each. At 7 TeV, the Dire module presents a good prediction, whereas the Simple and Vincia modules underestimate the data within 30% and 50%. Comparing the Simple module of the Pythia model and the predictions of the CRMC models with the experimental data shows that at 0.9 TeV, EPOS-LHC has better results than the others. At 2.36 GeV, the cosmic rays Monte Carlo (CRMC) models have better prediction than the Simple module of Pythia at low pT, while QGSJETII-04 predicts well at high pT. QGSJETII-04 and EPOS-LHC have closer results than the Pythia-Simple and Sibyll2.3d at 7 TeV. In the case of the pseudorapidity distributions, only the Pythia-Simple reproduced the experimental measurements at all energies. The Dire module overestimates, while Vincia underestimates the data in decreasing order of discrepancy (20%, 12%, 5%) with energy. All CRMC models underestimate the data over the entire η range at all energies by 20%. The angular ordering of partons and the parton fragmentation could be possible reasons for this deviation. Furthermore, we used the two-component standard distribution to fit the pT spectra to the experimental data and extracted the effective temperature (Teff) and the multiplicity parameter (N0). It is observed that Teff increases with the increase in the center of mass energy. The fit yielded 0.20368±0.01, 0.22348±0.011, and 0.24128±0.012 GeV for 0.9, 2.36, and 7 TeV, respectively. This shows that the system at higher energies freezes out earlier than lower ones because they quickly attain the equilibrium state.

Analyses of pp, Cu-Cu, Au-Au and Pb-Pb Collisions by Tsallis-Pareto Type Function at RHIC and LHC Energies.

The parameters revealing the collective behavior of hadronic matter extracted from the transverse momentum spectra of π+, π-, K+, K-, p, p¯, Ks0, Λ, Λ¯, Ξ or Ξ-, Ξ¯+ and Ω or Ω¯+ or Ω+Ω¯ produced in the most central and most peripheral gold-gold (Au-Au), copper-copper (Cu-Cu) and lead-lead (Pb-Pb) collisions at 62.4 GeV, 200 GeV and 2760 GeV, respectively, are reported. In addition to studying the nucleus-nucleus (AA) collisions, we analyzed the particles mentioned above produced in pp collisions at the same center of mass energies (62.4 GeV, 200 GeV and 2760 GeV) to compare with the most peripheral AA collisions. We used the Tsallis-Pareto type function to extract the effective temperature from the transverse momentum spectra of the particles. The effective temperature is slightly larger in a central collision than in a peripheral collision and is mass-dependent. The mean transverse momentum and the multiplicity parameter (N0) are extracted and have the same result as the effective temperature. All three extracted parameters in pp collisions are closer to the peripheral AA collisions at the same center of mass energy, revealing that the extracted parameters have the same thermodynamic nature. Furthermore, we report that the mean transverse momentum in the Pb-Pb collision is larger than that of the Au-Au and Cu-Cu collisions. At the same time, the latter two are nearly equal, which shows their comparatively strong dependence on energy and weak dependence on the size of the system. The multiplicity parameter, N0 in central AA, depends on the interacting system's size and is larger for the bigger system.

New Estimations for Shannon and Zipf-Mandelbrot Entropies.

The main purpose of this paper is to find new estimations for the Shannon and Zipf-Mandelbrot entropies. We apply some refinements of the Jensen inequality to obtain different bounds for these entropies. Initially, we use a precise convex function in the refinement of the Jensen inequality and then tamper the weight and domain of the function to obtain general bounds for the Shannon entropy (SE). As particular cases of these general bounds, we derive some bounds for the Shannon entropy (SE) which are, in fact, the applications of some other well-known refinements of the Jensen inequality. Finally, we derive different estimations for the Zipf-Mandelbrot entropy (ZME) by using the new bounds of the Shannon entropy for the Zipf-Mandelbrot law (ZML). We also discuss particular cases and the bounds related to two different parametrics of the Zipf-Mandelbrot entropy. At the end of the paper we give some applications in linguistics.

Enhancing the engineering characteristics of sustainable recycled aggregate concrete using fly ash, metakaolin and silica fume.

The present global environment is facing growing issues linked to production of concrete, mostly due to high consumption of concrete as the dominating construction material globally. In today's climate of environmental sustainability, recycled concrete production using RA (recycled aggregates) requires a more holistic approach. This study examined how recycled aggregate (RA), metakaolin, silica fume and fly ash affect mechanical characteristics (compressive strength, split tensile strength), and durability characteristics (acid resistance, absorption, sorptivity) of concrete. The objective of this investigation is to figure out how the potential of RA based concrete can be improved so that they can be used to their maximum extent. To achieve the desired outcome, the study involved testing three distinct groups of concrete samples, each containing different percentages (25%, 50%, and 75%) of recycled aggregate (RA) with a constant amount of silica fume, (25 kg/m3). The first group was used as the control mix, while the second group incorporated 10% fly ash, and the third group included 15% metakaolin. The findings of this research show that the RA concrete mechanical properties as well as durability can be significantly improved by incorporating 15% metakaolin and 10% fly ash. The investigation involves the examination of all ternary blends within two distinct acidic environments, specifically a 5% hydrochloric acid (HCl) solution and sulfuric acid (H2SO4). Both the ternary mixes (metakaolin and fly ash) with the combination of silica improve all characteristics. The quality assurance, cost analysis and the reduction of CO2 emissions are carried out, utilizing RA (recycled aggregates) as a substitute for NA (natural aggregate). In case of producing superior structural concrete, it is recommended based on results to limit the replacement percentage of recycled aggregate (RA) to a maximum of 50% in presence of 10% fly ash and 15% metakaolin, otherwise the RA replacement percentage should not be more than 25%.

Comparison of Continuous Thoracic Epidural With Erector Spinae Block for Postoperative Analgesia in Adult Living Donor Hepatectomy.

BACKGROUND: Thoracic epidural analgesia (TEA) is commonly used for pain management in donor hepatectomy. Erector spinae plane block (ESPB) is a newer ultrasound-guided block described for the management of thoracic and abdominal pain. There is limited literature available comparing the two techniques. The objective of this study was to compare the postoperative analgesic efficacy and adverse effects of continuous ESPB to continuous TEA in donor hepatectomy. METHODOLOGY: The randomized controlled trial (RCT) was registered on ClinicalTrials.gov (NCT04151511). A total of 82 patients undergoing donor hepatectomy between January 2020 and December 2020 were recruited, of whom 41 received TEA and 41 received ESPB. Randomization was done by the sealed opaque envelope method. RESULTS:  The mean visual analog scale (VAS) scores in donors who received TEA and ESPB in post-anesthesia care unit (PACU) (2.7 + 0.9 vs. 2.4 + 0.5; P = 0.02) at one hour (2.7 + 0.9 vs. 2.2 + 0.6; P = 0.008), six hours (1.8 + 0.9 vs. 0.8 + 0.5; P < 0.001), 12 hours (0.9 + 0.7 vs. 0.2 + 0.7; P < 0.001), and 24 hours (0.48 + 0.5 vs. 0.08 + 0.3; P < 0.001) were significantly different. Mean opioid consumption was 3.38 ± 6.24 mg in the ESPB group and 10.75 ± 9.64 mg in the TEA group (P < 0.001). Mean lung volume (MLV) at 24 hours in the TEA group and ESPB group was 1543 ml and 1815 ml (P < 0.001). MLV was 2545 ml in the TEA group and 2820 ml in the ESPB group at 48 hours (P < 0.001). Mean nausea and vomiting score at six hours was 0.1 vs. 0.03 (P = 0.02). CONCLUSION:  ESPB improves pain control after donor hepatectomy with an enhanced safety profile and reduced opioid consumption.

Some majorization integral inequalities for functions defined on rectangles.

In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard's inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248-262, 1995) in an earlier paper.

Ostrowski type inequalities involving conformable fractional integrals.

In the article, we establish several Ostrowski type inequalities involving the conformable fractional integrals. As applications, we find new inequalities for the arithmetic and generalized logarithmic means.

Hermite-Hadamard type inequalities for fractional integrals via Green's function.

In the article, we establish the left Riemann-Liouville fractional Hermite-Hadamard type inequalities and the generalized Hermite-Hadamard type inequalities by using Green's function and Jensen's inequality, and present several new Hermite-Hadamard type inequalities for a class of convex as well as monotone functions.

Inequalities for α-fractional differentiable functions.

In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.