Some New Hermite-Hadamard-Fejér Fractional Type Inequalities for h-Convex and Harmonically h-Convex Interval-Valued Functions

In this article, firstly, we establish a novel definition of weighted interval-valued fractional integrals of a function Υ˘ using an another function ϑ(ζ˙). As an additional observation, it is noted that the new class of weighted interval-valued fractional integrals of a function Υ˘ by employing an additional function ϑ(ζ˙) characterizes a variety of new classes as special cases, which is a generalization of the previous class. Secondly, we prove a new version of the Hermite-Hadamard-Fejér type inequality for h-convex interval-valued functions using weighted interval-valued fractional integrals of a function Υ˘ according to another function ϑ(ζ˙). Finally, by using weighted interval-valued fractional integrals of a function Υ˘ according to another function ϑ(ζ˙), we are establishing a new Hermite-Hadamard-Fejér type inequality for harmonically h-convex interval-valued functions that is not previously known. Moreover, some examples are provided to demonstrate our results.

Coliving: Infrastructure Transformations

The article studies the current trends in the development of coliving typology, the preconditions for the emergence and growth of demand for the new housing format. The authors identify its main distinguishing features and the features of functional zoning. The coliving infrastructure includes residential, public and business zones. The article gives a brief historical overview of the formation of residential buildings with an additional function. It analyzes the continuity of the ideology of architecture of coliving, communal house and multifunctional residential complex, as well as reveals the coliving typology and infrastructure.

Characterizing the Effect of Water Content on Small-Strain Shear Modulus of Qiantang Silt

Due to the impact of natural and artificial influence, such as waves, tides, and artificial dewatering, the small-strain shear modulus of soils may vary with the water content of soil, causing deformation of excavations and other earth structures. The present study used a resonant column device to investigate the effects of water content, void ratio, and confining pressure on the small-strain shear modulus of a silt extracted from an excavation site near Qiantang River in Hangzhou, China. The test results revealed that the effects of the three factors are not coupled and can be characterized by three individual equations. In particular, the small-strain shear modulus decreases with increasing water content under otherwise similar conditions, which can be characterized by a power function. The classical Hardin’s equation is modified to consider the effect of water content by introducing an additional function of water content.

Viastructura – A New Way Of Pavement Structure Design

The catalogues of standard pavement structures are common way to design road pavements. In 2019, new regulation for the design of standard pavement structures KPT SDK 19 was issued in Lithuania. One of the new requirements require verification of layer thickness of high-class pavement structures. Such verification should be done by internationally approved mechanistic-empirical methods. In addition, it is recommended to use the same methods to adjust the layer thickness of the selected standard pavement structure for lower classes. These calculations are particularly applicable when the design load (ESAL) is at the lower or upper limit of the class range. Vilnius Tech Road Research Institute experts and outsource IT specialists spent two years for the design model ViaStructura development. Web software based on mechanistic-empiric approach include the boundary conditions, based on Austria, the United States and Germany experience and laboratory test results of construction materials. Materials can be selected from created database, which can be simply expanded with the new materials by the user. as Additional function allow comparison of separate designed pavement structures. The article present the concept of the ViaStructura model for the design of flexible pavement structures, reveals its main principles and advantages comparing to the pavement structure selection by the standard catalogue.

Parameters of heart rate variability associated with high sports performance in athletes

Introduction. The problem of developing clear criteria for assessing athletes’ functional fitness, which would reflect their readiness for competitions, remains under-researched in the theory of sports. Football places high demands on athletes’ functional fitness, including the vegetative component. However, attempts to improve results in football often focus on techniques and tactics to the detriment of the functional component. It should also be noted that the intensity of exercises varies depending on the playing position during matches, and, therefore, an accurate diagnostic criterion is required to assess the players’ of different positions functional readiness for competitions. The article attempts to identify the parameters of heart rate variability which could be used as markers of athletes’ playing game sports high functional performance. The aim of this research is to identify the parameters of heart rate variability as a diagnostic criterion for assessing football players’ functional readiness for competitions. Materials and Methods. In order to assess the heart rate variability, the software for the “Polyspectrum” electrocardiograph was used with an additional function of obtaining data on heart rate variability. Results. The research findings suggest that football players with high athletic performance demonstrate higher vagal and lower sympathetic modulation of the heart rhythm, which indicates their higher fitness, adaptability to loads and functional readiness for competitions. On the contrary, the athletes of the second group demonstrated signs of strain of adaptation systems and over-training. Conclusions. Monitoring heart rate variability in athletes (in particular, heart rhythm wave structure indicators, expressed as the area of the triangle formed by the spectral density of all three waves) can be used as an effective tool in the dynamic control of training, in identifying athletes’ fitness, as well as for predicting sports results.

Operation and Performance of Austrian Wastewater and Sewage Sludge Treatment as a Basis for Resource Optimization

Recent years came with a paradigm shift for wastewater treatment plants (WWTPs) to extend the sole purpose of contaminant removal to an additional function as resource recovery facilities. This shift is accompanied by the development of new European legislation towards better inclusion of resource recovery from wastewater. However, long operational lifespans and a multitude of treatment requirements demand thorough investigations into how resource recovery can be implemented sustainably. To aid the formulation of new legislation for phosphorus (P) recovery specifically, in 2017 we conducted a survey on Austrian WWTP-infrastructure, with a focus on P removal and sludge treatment, as well as disposal and sludge quality of all WWTPs above 2000 population equivalents (PE). Data were prepared for analysis, checked for completeness and cross-checked for plausibility. This study presents the major findings from this database and draws essential conclusions for the future recovery of P from wastewater. We see results from this study as useful to other countries, describing the current state of the art in Austria and potentially aiding in developing wastewater treatment and P recovery strategies.

Thermo-Mechanical Design and Validation of Spaceborne High-Speed Digital Receiver Unit for Synthetic Aperture Radar Application

This paper presents the effectiveness of the thermo-mechanical design of a high-speed digital receiver unit (HSDRU) developed for spaceborne synthetic aperture radar applications. The main features of HSDRU’s thermo-mechanical design include the thermal management of high-heat dissipation units by adopting heat sinks with the additional function of structural stiffeners and securing the heat rejection path to the upper side of electronics that interfaces the foil radiator for the on-orbit passive thermal control of electronics exposed to deep space environments. The thermal design, which adopts a thermal gap pad, is closely related to the solder joint fatigue life in a launch vibration environment, owing to its initial compressive static load between the heat sink and heat dissipation units that enhances the heat transfer capability. The effectiveness of the design was validated via the qualification level of launch environment tests.

AtCGL160 recruits chloroplast coupling factor 1

ATP synthases couple the generation of chemical energy to a transmembrane electro-chemical potential. Like ATP synthases in bacteria and mitochondria, chloroplast ATP synthases consist of a membrane-spanning (CFO) and a soluble coupling factor (CF1). Accessory factors facilitate subunit production and orchestrate the assembly of the functional CF1-CFO complex. It was previously shown that the accessory factor CGL160 promotes the formation of plant CFO and performs a similar function in the assembly of its c-ring to that of the distantly related bacterial Atp1/UncI protein. In this study, we show that the N-terminal portion of CGL160 (AtCGL160N), which is specific to the green lineage, is required for late steps in CF1-CFO assembly in Arabidopsis thaliana. In plants that lacked this stroma-exposed domain, photosynthesis was impaired, and amounts of CF1-CFO were reduced to about 65% of the wild-type level. Loss of AtCGL160N did not perturb c-ring formation, but led to a 10-fold increase in the numbers of CF1 sub-complexes in the stroma relative to the wild type and the CF1 assembly mutant atcgld11-1. Co-immunoprecipitation and protein crosslinking assays revealed an association of AtCGL160 with CF1 subunits. Yeast two-hybrid assays localized the interaction to a stretch of AtCGL160N that binds to the thylakoid-proximal domain of CF1-β that includes the conserved DELSEED motif. We therefore propose that AtCGL160 has acquired an additional function in the recruitment of soluble CF1 to a membrane-integral CFO sub-complex, which is critical for the modulation of CF1-CFO activity and photosynthesis in chloroplasts.

A Class of Higher-Order Newton-Like Methods for Systems of Nonlinear Equations

In this paper, a class of efficient iterative methods with increasing order of convergence for solving systems of nonlinear equations is developed and analyzed. The methodology uses well-known third-order Potra–Pták iteration in the first step and Newton-like iterations in the subsequent steps. Novelty of the methods is the increase in convergence order by an amount three per step at the cost of only one additional function evaluation. In addition, the algorithm uses a single inverse operator in each iteration, which makes it computationally more efficient and attractive. Local convergence is studied in the more general setting of a Banach space under suitable assumptions. Theoretical results of convergence and computational efficiency are verified through numerical experimentation. Comparison of numerical results indicates that the developed algorithms outperform the other similar algorithms available in the literature, particularly when applied to solve the large systems of equations. The basins of attraction of some of the existing methods along with the proposed method are given to exhibit their performance.

Characterization of nit sheath protein functions and transglutaminase-mediated cross-linking in the human head louse, Pediculus humanus capitis

Background Head louse females secrete liquid glue during oviposition, which is solidified to form the nit sheath over the egg. Recently, two homologous proteins, named louse nit sheath protein (LNSP) 1 and LNSP 2, were identified as adhesive proteins but the precise mechanism of nit sheath solidification is unknown. Methods We determined the temporal transcriptome profiles of the head louse accessory glands plus oviduct, from which putative major structural proteins and those with functional importance were deduced. A series of RNA interference (RNAi) experiments and treatment of an inhibitor were conducted to elucidate the function and action mechanism of each component. Results By transcriptome profiling of genes expressed in the louse accessory glands plus uterus, the LNSP1 and LNSP2 along with two hypothetical proteins were confirmed to be the major structural proteins. In addition, several proteins with functional importance, including transglutaminase (TG), defensin 1 and defensin 2, were identified. When LNSP1 was knocked down via RNA interference, most eggs became nonviable via desiccation, suggesting its role in desiccation resistance. Knockdown of LNSP2, however, resulted in oviposition failure, which suggests that LNSP2 may serve as the basic platform to form the nit sheath and may have an additional function of lubrication. Knockdown of TG also impaired egg hatching, demonstrating its role in the cross-linking of nit sheath proteins. The role of TG in cross-linking was further confirmed by injecting or hair coating of GGsTop, a TG inhibitor. Conclusions Both LNSP1 and LNSP2 are essential for maintaining egg viability besides their function as glue. The TG-mediated cross-linking plays critical roles in water preservation that are essential for ensuring normal embryogenesis. TG-mediated cross-linking mechanism can be employed as a therapeutic target to control human louse eggs, and any topically applied TG inhibitors can be exploited as potential ovicidal agents. Graphical abstract