Study on Date–Jimbo–Kashiwara–Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions

In this article, we construct the exact dynamical wave solutions to the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative by using an efficient and well-established approach, namely: the two-variable G’/G, 1/G-expansion method. The solutions of the Date–Jimbo–Kashiwara–Miwa equation with conformable derivative play a vital role in many scientific occurrences. The regular dynamical wave solutions of the abovementioned equation imply three different fundamental functions, which are the trigonometric function, the hyperbolic function, and the rational function. These solutions are classified graphically into three categories, such as singular periodic solitary, kink soliton, and anti-kink soliton wave solutions. Furthermore, the effect of the fractional parameter on these solutions is discussed through 2D plots.

Stellar Structure in a Newtonian Theory with Variable G

A Newtonian-like theory inspired by the Brans–Dicke gravitational Lagrangian has been recently proposed by us. For static configurations, the gravitational coupling acquires an intrinsic spatial dependence within the matter distribution. Therefore, the interior of astrophysical configurations may provide a testable environment for this approach as long as no screening mechanism is evoked. In this work, we focus on the stellar hydrostatic equilibrium structure in such a varying Newtonian gravitational coupling G scenario. A modified Lane–Emden equation is presented and its solutions for various values of the polytropic index are discussed. The role played by the theory parameter ω, the analogue of the Brans–Dicke parameter, in the physical properties of stars is discussed.

Small RNA mediated gradual control of lipopolysaccharide biosynthesis affects antibiotic resistance in Helicobacter pylori

The small, regulatory RNA RepG (Regulator of polymeric G-repeats) regulates the expression of the chemotaxis receptor TlpB in Helicobacter pylori by targeting a variable G-repeat in the tlpB mRNA leader. Here, we show that RepG additionally controls lipopolysaccharide (LPS) phase variation by also modulating the expression of a gene (hp0102) that is co-transcribed with tlpB. The hp0102 gene encodes a glycosyltransferase required for LPS O-chain biosynthesis and in vivo colonization of the mouse stomach. The G-repeat length defines a gradual (rather than ON/OFF) control of LPS biosynthesis by RepG, and leads to gradual resistance to a membrane-targeting antibiotic. Thus, RepG-mediated modulation of LPS structure might impact host immune recognition and antibiotic sensitivity, thereby helping H. pylori to adapt and persist in the host.

The Estimation of Residual Variance in Nonparametric Regression

Given a nonparametric regression model Yi = g(xi) + ei, i = 1, 2, …, n, where Y is a dependent variable, x is an independent variable, g is an unknown function and e is an error assumed to be an independent, identical, and is distributed with mean 0 and variance σ2. In this research Rice estimator is used to determine the biased value of a residual variance estimator. The Rice estimator is given as follows: . The biased value of residual variance estimator of the Rice method is: , where and. Using the Rice estimator, the Tong-Wang residual variance estimator is obtained, that is: , Where , , , , , k = 1, 2, … , m. Based upon the data simulation by considering the exponential, arithmetical, and trigonometrical models, it is found that the MSE value of the Tong-Wang estimator tends to be less compared to those of the Rice estimator as well as the GSJ (Gasser, Sroka, and Jennen) estimator.

A Novel Architecture for 10-bit 40MSPS Low Power Pipelined ADC using Simultaneous Capacitor and Op-amp Sharing Technique

This work presents a low power 10-bit 40 MSPS Pipelined ADC with 1.8V supply voltage in a 180nm silicon based CMOS process. Simultaneous capacitor sharing and op-amp sharing technique is used between two successive stages of a Sample-and Hold Ampifier (SHA) to reduce the power consumption.The memory effect in the proposed ADC is eliminated by a low input capacitance variable gm op-amp. The differential and integral nonlinearity of the converter are within LSB.Simulation results show that the required Signal-Furious-Dynamic range (SFDR) of 70dB, Signal-to -Noise-plus Distortion Ratio (SNDR) of 56.1dB and 9.02 Effective Number of Bits ( ENOB ) has been achieved with a 2MHz, 1-Vp−p,diff input signal while consuming only 7.3mW power from 1.8V supply.

Methodology

Because sustainable development only becomes defined when measured (see Chapter 3; e.g. Bell & Morse, 2008), sustainable development index construction is an unsupervised modelling task without a supervising output variable (G. James, Witten, Hastie & Tibshirani, 2013). Consequently, sustainable development measurement is diverse in methods and methodologies (see Section 3.2, Section 3.3, and Section 4.2) and hallmarked by subjectivity and arbitrariness (e.g. Böhringer & Jochem, 2007), such that sustainable development indicators are rather confusing and non-consensual (Pope et al., 2017; Ramos & Moreno Pires, 2013). To counteract this finding and to achieve objectivity in assessment (see Table 10.1007/978-3-658-33246-4_3; Sala et al., 2015), the previous theoretical research is coupled with a profound methodological research.