SΦ-supplemented subgroups of finite groups

We call H an SΦ-supplemented subgroup of a finite group G if there exists a subnormal subgroup T of G such that G = HT and H ∩ T ≤ Φ(H), where Φ(H) is the Frattini subgroup of H. In this paper, we characterize the p-nilpotency and supersolubility of a finite group G under the assumption that every subgroup of a Sylow p-subgroup of G with given order is SΦ-supplemented in G: Some results about formations are also obtained.Пiдгрупу H називають SΦ-доповнюваною пiдгрупою скiнченної групи G, якщо iснує така субнормальна пiдгрупа T групи G, що G=HT and H⋂T≤Φ(H), де Φ(Н) є пiдгрупою Фраттiнi пiдгрупи H. У цiй статтi охарактеризовано p-нiльпотентнiсть та надрозв’язнiсть скiнченної групи G за припущення, що кожна пiдгрупа силовської p-пiдгрупи групи G заданого порядку є SΦ-доповнюваною в G. Отримано також деякi результати щодо формацiй

Finite groups with some H-subgroups

AbstractA subgroup H is said to be an H-subgroup of a finite group G if Hg∩NG(H)≤H for all g∈G. For every prime p dividing the order of G, let P be a Sylow p-subgroup of G and D a subgroup of P with 1<|D|<|P|. We investigate the structure of G under the assumption that each subgroup H of P with |H|=|D| is an H-subgroup of G. Some earlier results are generalized. Some results about formation are obtained

Dictionary Pair Learning on Grassmann Manifolds for Image Denoising

Abstract—Image denoising is a fundamental problem in com-puter vision and image processing that holds considerable prac-tical importance for real-world applications. The traditional patch-based and sparse coding-driven image denoising methods convert two-dimensional image patches into one-dimensional vectors for further processing. Thus, these methods inevitably break down the inherent two-dimensional geometric structure of natural images. To overcome this limitation pertaining to previous image denoising methods, we propose a two-dimensional image denoising model, namely, the Dictionary Pair Learning (DPL) model, and we design a corresponding algorithm called the Dictionary Pair Learning on the Grassmann-manifold (DPLG) algorithm. The DPLG algorithm first learns an initial dictionary pair (i.e., the left and right dictionaries) by employing a subspace partition technique on the Grassmann manifold, wherein th

A novel approach to melt purification of magnesium alloys

AbstractA novel low-cost method for melt purification of magnesium alloys, the melt self-purifying technology (MSPT), has been developed successfully based on a low temperature melt treatment (LTMT) without adding any fluxes. The iron solubility in the molten liquid of magnesium and its alloys, and the settlement velocity of iron particles were calculated. It is shown that the low temperature melt treatment is an effective method to decrease the impurity Fe content in magnesium and its alloys. Without any additions, the Fe content in the AZ31 alloy was reduced to 15 ppm from the initial 65 ppm, and the Fe content in the AZ61 melt was decreased to 20 ppm from the initial 150 ppm after the low temperature melt treatment. The results also showed that the Fe content in AM60 and AM50 dropped to 15 and 18 ppm, respectively, from the initial 150 ppm after the low temperature melt treatment. For ZK 60, the Fe content in the melt down to less than 5 ppm was achieved. After the low temperature melt treatment, the Si content in the above alloys was also decreased obviously

GLUT3 expression in cystic change induced by hypoxia in pituitary adenomas

Tumor cells require large amounts of energy to sustain growth. Through the mediated transport of glucose transporters, the uptake and utilization of glucose by tumor cells are significantly enhanced in the hypoxic microenvironment. Pituitary adenomas are benign tumors with high-energy metabolisms. We aimed to investigate the role of expression of glucose transporter 3 (GLUT3) and glucose transporter 1 (GLUT1) in pituitary adenomas, including effects on size, cystic change and hormone type. Pituitary adenomas from 203 patients were collected from January 2013 to April 2017, and immunohistochemical analysis was used to detect the expression of GLUT3 and GLUT1 in tumor specimens. GLUT3-positive expression in the cystic change group was higher than that in the non-cystic change group (P = 0.018). Proportions of GLUT3-positive staining of microadenomas, macroadenomas, and giant adenomas were 22.7 (5/22), 50.4 (66/131) and 54.0% (27/50), respectively (P = 0.022). In cases of prolactin adenoma, GLUT3-positive staining was predominant in cell membranes (P = 0.000006), while in cases of follicle-stimulating hormone or luteotropic hormone adenoma, we found mainly paranuclear dot-like GLUT3 staining (P = 0.025). In other hormonal adenomas, GLUT3 was only partially expressed, and the intensity of cell membrane or paranuclear punctate staining was weak. In contrast to GLUT3, GLUT1 expression was not associated with pituitary adenomas. Thus, our results indicate that the expression of GLUT3 in pituitary adenomas is closely related to cystic change and hormonal type. This study is the first to report a unique paranuclear dot-like GLUT3 staining pattern in pituitary adenomas

Simulation of the Decomposition of Natural Gas Hydrate in Porous Media by Hot Water Injection

As a reference of the recovery of natural gas hydrates by hot water injection, the decomposition of natural gas hydrates in sediments due to heat stimulation was simulated experimentally and numerically. It is supposed the radial diffusion model describes the decomposition of natural gas hydrates in sediments owing to hot water injection, and the hydrate decomposition is a one-order reaction. Combining the rate equation of the decomposing reaction with the rate equation of the heat transfer and heat balance equation, the relationship between the accumulative quantity of methane and decomposing time t was obtained i.e.. n(o) - n(H) = 2.7 x 10(-2) (theta(3) - 10)(1/2)t(3/2). By comparing the results from the experiment and numerical simulation, it was found that, under the experimental conditions, the rate coefficient of hydrate decomposition was 2.675x10(-4) mol/(m(2)-Pa.min), which was found to be consistent with the experimental results