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Let Xn = {1, 2, 3, ⋯, n}. Let Pn and Tn denote the partial and full transformation semigroups on Xn. For n = 1, 2, 3, 4, we obtain the polarity in a signed order-preserving, order-decreasing and reversing partial transformation semigroups by the order (n + 1)n of Pn. [ABSTRACT FROM AUTHOR]

In this note, we obtain a new class of Hardy's integral inequalities by using a fairly elementary analysis. This result simplifies the proofs of some existing results and two possible constants are shown in the limit Hardy-type version. [ABSTRACT FROM AUTHOR]

Some dynamic inequalities of Opial-type inequalities are generalized through Jensen's and Hölder's inequalities for convex functions. In particular, Hua's and Rozanova's inequalities on time scales are refined. [ABSTRACT FROM AUTHOR]

Deficiencies in Vitamin D effects the growth and development of a children leading to rickets. Presentation of childhood Rickets patients include delayed growth and bowed legs leading to back and arthritis of the knees and hip. We describe a 45-year-old Chinese female with Childhood Rickets and SLE who presented with bilateral knee pain for the past 8 years. This short stature lady had an antalgic gait, marked genu varum on both knees and had limited range of motion of the knees. She undergo total knee arthroplasty for both knee on two different setting. Special consideration unique to this patient population can be discussed such as challenges faced in difficult primary total knee arthroplasty, types of implant to choose to achieve balanced knee, as well as functional problems that may arise post operatively. The patient had a good outcome from her surgery, however this paper alone may not represent all the patient with angular deformity of knees who undergo total knee arthroplasty. [ABSTRACT FROM AUTHOR]

The purpose of this article is to prove the convergence and stability of Mann and Ishikawa iterative procedures by applying λ-generalized, Geraghty and Ciric contractive conditions in a complete G-metric space. [ABSTRACT FROM AUTHOR]

This paper aims to study extensively some results concerning continuous dependence for implicit Kirk-Mann and implicit Kirk-Ishikawa iterations. In order to equipoise the formation of these algorithms, we introduce a general hyperbolic space which is no doubt a free associate of some known hyperbolic spaces. The present results are extension of other results and they can be used in many applications. [ABSTRACT FROM AUTHOR]

In this paper, some fixed point theorems were proved, to show the existence and uniqueness of a fixed point under some weaker contractive conditions in a complete G-metric space settings. Moreover, we obtain the G-Cauchy sequence for the unique fixed point. Our results extend and refine some recent results in the literature. [ABSTRACT FROM AUTHOR]

The purpose of the present paper is to establish Opial-type inequalities for time scales via Jensen inequality. Various extensions of our inequalities are stated. [ABSTRACT FROM AUTHOR]

We obtain integral inequalities which are Opial-type inequalities, mainly by using Jensen's inequality for the case of convex function. [ABSTRACT FROM AUTHOR]

In this paper, we establish and prove some common fixed points for self-maps in a complete cone metric space that generalize and improve earlier results in the literature. [ABSTRACT FROM AUTHOR]

In this work, air crew scheduling problem is formulated using a practical case of IRS Airline, Nigeria. The formulated Integer Program was solved using TORA Optimization software and a recommended solution was obtained with the optimal value of 3183 minutes and 13 xvariables as pairings. [ABSTRACT FROM AUTHOR]

The Conjugate Gradient Method (CGM) algorithm is used to solve queue problems. The system parameters of queue theory are used to form the entries of the control matrix operator A associated with the CGM algorithm. The resulting control problem is solved and some comparative results are generated. [ABSTRACT FROM AUTHOR]

This article deals with some special cases which are extension of the strong summability of Fourier series with constant factor. We obtain a new equivalent form of inequalities [ABSTRACT FROM AUTHOR]

Voids in composites have been a perennial problem, since the amount of porosities is deemed to bear a strong relation with the degradation of service performance of laminates. On the other side, the effect of porosity on impact resistance of laminates is often dependant on their distribution in the material, especially with respect to the location and severity of impact damage in it. In this study, the influence of void content percentage on the residual flexural strength of CFRP laminates impacted at very low energy, in the region of 1 J, at different temperatures was investigated. Laminates were fabricated using 16 layers of Cycom 977-2 prepreg material in a [0/90/90/0] 2S layup with different void contents in the range from 1 to 7% by varying cure conditions. Low velocity impact tests were conducted on three categories of laminates, defined as high pressure cured, low pressure debulked and low pressure non debulked respectively, each of these at ambient temperature (30 °C) and elevated temperatures of 50, 70 and 90 °C. Post-impact residual flexural strength of the laminates was measured by three-point bending tests followed in real time by acoustic emission (AE) monitoring. From the separation of frequency bands and of their amplitude levels, identification of the different failure modes, such as matrix cracking, delamination and fibre failure, was performed. The results indicated that in the case of very low impact energy high porosity laminates, such as non debulked ones, may possess slightly higher residual flexural strength and an enhanced delamination resistance with respect to debulked ones. [ABSTRACT FROM AUTHOR]

The aim of this study is to investigate the effect of low-velocity multiple impacts at ambient (35℃) and elevated temperature (65℃ and 85℃) on unidirectional glass fiber reinforced plastic (GFRP) composites. Low-velocity repeated impact tests were conducted using a falling weight tower at a constant velocity of 1.5 m/s. The dominant parameters such as energy, contact force, and deflection were recorded during multiple impacts. The residual strength of laminates following repeated impact was evaluated by conducting three-point bending tests with acoustic emission (AE) real time monitoring. The temperature was revealed to play a key role in the impact response of composite materials, especially due to the progressive softening of the epoxy matrix. The nature and extent of damage during multiple impacts at ambient and elevated temperatures was investigated using real time AE monitoring: this analysis indicated delamination as a predominant failure mode, whose extent and criticality depended on temperature and number of impact events. [ABSTRACT FROM PUBLISHER]

It has been proved that the conventional conjugate gradient Method Algorithm (CGM) converges in at most n iterations in a well posed quadratic functional problems. This work used Fibonacci Scheme on Gradient Method (GM) to solve quadratic functional problems and the results are favorable and comparable with CGM algorithm. [ABSTRACT FROM AUTHOR]

We considered Computational results with Fibonacci scheme for Gradient method. In Particular, Fibonacci scheme is used as against the arbitrary perturbation term, lambda (λ) in Gradient method. It is proved that Fibonacci technique converges to the solution if the interval of uncertainty is known and N is large for the Fibonacci sequence in Gradient Method. [ABSTRACT FROM AUTHOR]

Some Computational algorithms are considered in this work. Specifically Conjugate Gradient (CGM), Fletcher-Reeves, Steepest Descent and Fibonacci methods are considered for minimizing some quadratic functional. The convergence rate of CGM and Fletcher-Reeves converges at the same time. It is also proved that Fibonacci technique will converge to its solution if the interval of uncertainty is known and N is large for the Fibonacci sequence. [ABSTRACT FROM AUTHOR]

Summary: Levels of cytokines are used for in‐depth characterization of patients with asthma; however, the variability over time might be a critical confounder. To analyze the course of serum cytokines in children, adolescents and adults with asthma and in healthy controls and to propose statistical methods to control for seasonal effects. Of 532 screened subjects, 514 (91·5%) were included in the All Age Asthma Cohort (ALLIANCE). The cohort included 279 children with either recurrent wheezing bronchitis (more than two episodes) or doctor‐diagnosed asthma, 75 healthy controls, 150 adult asthmatics and 31 adult healthy controls. Blood samples were collected and 25 μl serum was used for analysis with the Bio‐Plex Pr human cytokine 27‐Plex assay. Mean age, body mass index and gender in the three groups of wheezers, asthmatic children and adult asthmatics were comparable to healthy controls. Wheezers (34·5%), asthmatic children (78·7%) and adult asthmatics (62·8%) were significantly more often sensitized compared to controls (4·5, 22 and 22·6%, respectively). Considering the entire cohort, interleukin (IL)‐1ra, IL‐4, IL‐9, IL‐17, macrophage inflammatory protein (MIP)‐1‐α and tumor necrosis factor (TNF)‐α showed seasonal variability, whereas IL‐1β, IL‐7, IL‐8, IL‐13, eotaxin, granulocyte colony‐stimulating factor (G‐CSF), interferon gamma‐induced protein (IP)‐10, MIP‐1β and platelet‐derived growth factor (PDGF)‐BB did not. Significant differences between wheezers/asthmatics and healthy controls were observed for IL‐17 and PDGF‐BB, which remained stable after adjustment for the seasonality of IL‐17. Seasonality has a significant impact on serum cytokine levels in patients with asthma. Because endotyping has achieved clinical importance to guide individualized patient‐tailored therapy, it is important to account for seasonal effects. [ABSTRACT FROM AUTHOR]