Generalized I of strongly Lacunary of x2 over p-metric spaces defined by Musielak Orlicz function

In this paper, we introduce generalized difference sequence spaces via ideal convergence, lacunary of x2 sequence spaces over p-metric spaces defined by Musielak function, and examine the Musielak-Orlicz function which satisfies uniform Δ2 condition, and we also discuss some topological properties of the resulting spaces of x2 with respect to ideal structures which is solid and monotone. Hence, given an example of the space x2 this is not solid and not monotone. This theory is very useful for statistical convergence and also is applicable to rough convergence

Scar endometriosis: not a rarity now a day

Endometriosis at the site of previous surgery scar is much on the rise now-a-days mainly due to increased rate of caesarean sections. Generally, it presents as a triad of underlying mass at the incision site, cyclical menstrual scar pain with or without discharge from scar site, and history of previous gynecological or obstetric surgery leads to the preoperative diagnosis. In rare cases, the clinical presentation is atypical, and diagnosis is mad after surgical excision. Here we discuss a case of scar endometriosis that presented to us with complaint of greenish coloured discharge from a lesion below the primary scar site 5 years after the primary surgery. Through this article, authors wish to discuss the etiology, management and preventive measures for scar endometriosis

Mechanisms by Which Exercise Training Attenuates Blood Pressure in Animals: Roles of Cytokines, Oxidative Stress, and Glycogen Synthase Kinase-3â

Hypertension is a chronic multifactorial condition with high morbidity and mortality rates, currently affecting about one billion people worldwide. Currently available anti-hypertensive medications are found to be effective in reducing blood pressure (BP), but still more than 50% of those diagnosed with hypertension fail to respond to these anti-hypertensive regimens. Although hypertension has multiple etiologies, physical inactivity has been found to have strong correlation with the disease, so exercise has recently been recommended as a part of lifestyle modifications for all hypertensive patients. Therefore, the present series of in vivo and in vitro studies were undertaken to gain more insight into the effects of regular long-term exercise training (ExT) within the heart and brain of hypertensive animals with the specific aim of investigating the molecular mechanisms underlying the exercise-induced beneficial effects. In the first study, we subjected young spontaneously hypertensive rats (SHRs) to moderate-intensity exercise for 16 weeks. Regular exercise delayed progression of hypertension and improved cardiac function in SHRs, and these effects were mediated by reduced myocardial pro-inflammatory cytokines (PICs), NFêB activity, and improved redox homeostasis. In the second study, we found that chronic exercise not only reduces PICs and vasoconstrictor components of the renin-angiotensin system (RAS) but also improved anti-inflammatory cytokines (AIC) and vasodilatory axis of the RAS within the brain of SHRs. In the third study, we explored the effects of cessation of exercise (physical detraining) on these parameters. Next, we examined the role of GSK-3â in dysregulation of PICs and AIC in vitro using neuronal cell culture and in vivo using angiotensin II-induced hypertensive rat model. Finally, we investigated the effects of ExT on brain GSK-3â in hypertension and whether central GSK-3â mediates exercise-induced beneficial effects in hypertension. Collectively, these studies demonstrate that unlike pharmacological therapies, chronic regular exercise is a non-pharmacological cost-effective tool that has the capability to positively modulate several components of signaling pathways involved in pathogenesis of hypertension. These findings provide greater insight into the molecular mechanisms underlying the exercise-induced beneficial effects and will ultimately lead us to refine the current guidelines for the treatment of hypertension on the basis of scientific evidence

A Note on the Paper "The unique solution of the absolute value equations"

In this note, we give the possible revised version of the unique solvability conditions for the two incorrect results that appeared in the published paper by Wu et al. (Appl Math Lett 76:195-200, 2018)

Spatial and Temporal Variation in Selection of Genes Associated with Pearl Millet Varietal Quantitative Traits In situ

Ongoing global climate changes imply new challenges for agriculture. Whether plants and crops can adapt to such rapid changes is still a widely debated question. We previously showed adaptation in the form of earlier flowering in pearl millet at the scale of a whole country over three decades. However, this analysis did not deal with variability of year to year selection. To understand and possibly manage plant and crop adaptation, we need more knowledge of how selection acts in situ. Is selection gradual, abrupt, and does it vary in space and over time? In the present study, we tracked the evolution of allele frequency in two genes associated with pearl millet phenotypic variation in situ. We sampled 17 populations of cultivated pearl millet over a period of 2 years. We tracked changes in allele frequencies in these populations by genotyping more than seven thousand individuals. We demonstrate that several allele frequencies changes are compatible with selection, by correcting allele frequency changes associated with genetic drift. We found marked variation in allele frequencies from year to year, suggesting a variable selection effect in space and over time. We estimated the strength of selection associated with variations in allele frequency. Our results suggest that the polymorphism maintained at the genes we studied is partially explained by the spatial and temporal variability of selection. In response to environmental changes, traditional pearl millet varieties could rapidly adapt thanks to this available functional variability

Necessary and sufficient conditions for unique solvability of absolute value equations: A Survey

In this survey paper, we focus on the necessary and sufficient conditions for the unique solvability and unsolvability of the absolute value equations (AVEs) during the last twenty years (2004 to 2023). We discussed unique solvability conditions for various types of AVEs like standard absolute value equation (AVE), Generalized AVE (GAVE), New generalized AVE (NGAVE), Triple AVE (TAVE) and a class of NGAVE based on interval matrix, P-matrix, singular value conditions, spectral radius and $\mathcal{W}$-property. Based on the unique solution of AVEs, we also discussed unique solvability conditions for linear complementarity problems (LCP) and horizontal linear complementarity problems (HLCP)

The Unique Solvability Conditions for the Generalized Absolute Value Equations

This paper investigates the conditions that guarantee unique solvability and unsolvability for the generalized absolute value equations (GAVE) given by $Ax - B \vert x \vert = b$. Further, these conditions are also valid to determine the unique solution of the generalized absolute value matrix equations (GAVME) $AX - B \vert X \vert =F$. Finally, certain aspects related to the solvability and unsolvability of the absolute value equations (AVE) have been deliberated upon

Ultra-Low Power Heterojunction Dopingless -Tunnel FET (HD-TFET) Design and Characterization with SiO2/HfO2 Gate Stacking for High Current Drive

A Heterojunction Dopingless TFET model with gate stacking has been presented for ultra-low power application using 2D layered material in the source-region to enhance the bandgap mechanism and thereby tunnelling probability. A layered phosphorene material (B-Ph) with moderate value of bandgap and low effective mass is used in the present work which also adds on in the characterization of proposed source-region of the SOI (silicon-on-insulator) heterojunction doping-less TFET (HD-TFET). The drain current expression is extracted by analytically integrating the band-to-band tunnelling generation rate over the channel thickness. High-ᴋ HfO2 has been layered on the top of SiO2 to get a significant and effective gate oxide thickness, which results in the smaller OFF current (improved subthreshold conduction phenomenon) and offers an extremely low subthreshold swing of 1.8 mV/Decade. The proposed model also demonstrates that the proper choice of work function for both the latterly contacting gate electrode (near the source and drain) materials which can give better results in terms of input-output characteristics, Subthreshold Swing and ION/IOFF than the conventional TFET devices. ATLASTM, a two-dimensional (2D) device simulator from Silvaco has been used in the device structure modelling and characterization. The numerical simulation of the proposed device is performed on. The device offers promising ON-OFF transition profiling with ratio of . The small signal behaviour of the proposed HD-TFET model has also been investigated and the performances of the B-Ph/Si gate stacked HD-TFET are observed promising for the possible implementation at circuit level