On conjugacy of elliptic elements and circuits in suborbital graphs of congruence subgroups

WOS: 000300544400004In this paper, we, for the first time, introduce the notion of conjugacy in suborbital graphs. Then we show that the conjugate elliptic elements of the modular group Gamma and of congruence subgroups Gamma(0)(p) give rise to conjugate circuits, corresponding to the related elliptic elements, in the Farey graph F and in the suborbital graph F-u,F-p of the action of Gamma(0)(p), respectively

Comparison of Particle Shape, Surface Area, and Color Properties of the Calcite Particles Ground by Stirred and Ball Mill

Since the particle size, shape, specific surface area, and purity of the ground calcium carbonate (GCC) decide its usability in the paper, paint, and plastic industries, the effect of grinding is important. However, the effect of stirred and ball mill grinding on the particle shape of GCC by dynamic image analysis (DIA) is still lacking in the literature. Therefore, the aim of this study is to compare the aspect ratio at the same fineness (d97 = 50 μm) and evaluate other properties such as color, and surface area of GCC particles by stirred and ball mill grindings. DIA results showed that particles produced by the ball mill had higher aspect ratio values than those by the stirred mill. This was attributed to the impact, and attrition breakage modes produced by the ball and stirred mill, respectively. This conclusion is supported by XRD and SEM. Finally, the results related to physical properties such as aspect ratio, surface area, and whiteness are discussed depending on the usage area of GCC

On Suborbital Graphs for the Extended Modular Group (Gamma)over-cap

WOS: 000326105900016In this paper, we show that the extended modular group acts on transitively and imprimitively. Then the number of orbits of on is calculated and compared with the number of orbits of on . Especially, we obtain the graphs of on , for each and each unit , then we determine the suborbital graph . We also give the edge conditions in and the necessary and sufficient conditions for a circuit to be triangle in (F) over cap (u,N)

Can pregnancy-associated plasma protein-A be a marker for the assessment of atherosclerosis risk in patients with chronic plaque psoriasis?

Introduction : Psoriasis is an immune-mediated chronic inflammatory dermatosis. Several studies have shown that patients with psoriasis have a much greater risk of cardiovascular diseases than the normal population. The chronic inflammation observed in psoriasis is thought to have a role in the development of atherosclerosis and vascular endothelial injury. Aim: To examine serum pregnancy-associated plasma protein-A (PAPP-A) levels, which has been regarded as a marker of early stage atherosclerosis in patients with psoriasis that do not have concurrent conventional cardiovascular risk markers. Material and methods : Forty-one patients diagnosed with a chronic plaque type of psoriasis and 42 equally matched healthy volunteers were included in this study. The PAPP-A levels were compared between patient and control groups and the association between PAPP-A levels and disease duration and severity were evaluated in the patient group. Results: Statistically, serum PAPP-A levels were significantly higher in the psoriasis group than in the control group (p = 0.015). Serum PAPP-A levels were found to be positively correlated with severity (p = 0.036, r = 0.329) and duration (p = 0.014, r = 0.269) of the disease. Conclusions : As a marker of early stage atherosclerosis, PAPP-A levels were elevated in the psoriasis group and were correlated with disease duration and severity. This elevation reveals the presence of atherosclerosis in patients with psoriasis. Further studies are needed to confirm the use of PAPP-A as an available and inexpensive screening test and cardiovascular risk assessment for all centers

Contact mechanics problem between an orthotropic graded coating and a rigid punch of an arbitrary profile

Singular integral equation (SIE) and finite element methods are developed for sliding contact analysis of a finite thickness orthotropic graded coating, which is perfectly bonded to an isotropic substrate. Orthotropic stiffness coefficients of the coating vary exponentially through the coating thickness. The coating is assumed to be loaded by a frictional rigid punch of an arbitrary profile. In the SIE formulation, governing partial differential equations are derived in accordance with the theory of plane elasticity. Applying Fourier transformation techniques, the problem is reduced to a singular integral equation of the second kind. Flat and triangular punch profiles are considered in the formulation. The integral equation is solved numerically through an expansion-collocation technique. Roots of Chebyshev polynomials of the first kind are employed as collocation points. The posed contact problem is also solved by means of the finite element method. The augmented Lagrange algorithm is applied in the iterative solution procedure. Comparisons of the contact stresses obtainedby singular integral equation and finite element methods demonstrate that the findings of these two separate techniques are in excellent agreement. Further numerical results are generated to be able to assess the influences of coefficient of friction, non-homogeneity constants, relative coating thickness, and degree of orthotropy upon the contact behavior of the coating-substrate system

Evaluation of bone mineral density, osteoporosis prevalence and regional risk factors in Turkish women living in Kastamonu: KASTURKOS study

Objectives: This study aims to identify the bone mineral density (BMD) values and the prevalence of osteoporosis (OP) in Turkish women living in Kastamonu within the purpose of contributing to, Turkish database and to explore whether the characteristics of the regional climate and demographics in different provinces of Turkey, are risk factors, comparing our results with similar studies