Inclusion Matrices and Chains

Given integers $t$, $k$, and $v$ such that $0\leq t\leq k\leq v$, let $W_{tk}(v)$ be the inclusion matrix of $t$-subsets vs. $k$-subsets of a $v$-set. We modify slightly the concept of standard tableau to study the notion of rank of a finite set of positive integers which was introduced by Frankl. Utilizing this, a decomposition of the poset $2^{[v]}$ into symmetric skipless chains is given. Based on this decomposition, we construct an inclusion matrix, denoted by $W_{\bar{t}k}(v)$, which is row-equivalent to $W_{tk}(v)$. Its Smith normal form is determined. As applications, Wilson's diagonal form of $W_{tk}(v)$ is obtained as well as a new proof of the well known theorem on the necessary and sufficient conditions for existence of integral solutions of the system $W_{tk}\bf{x}=\bf{b}$ due to Wilson. Finally we present anotherinclusion matrix with similar properties to those of $W_{\bar{t}k}(v)$ which is in some way equivalent to $W_{tk}(v)$.Comment: Accepted for publication in Journal of Combinatorial Theory, Series

Application of the Extended G\u27/G-expansion Method to the Improved Eckhaus Equation

In this paper, the extended (G\u27/G)-expansion method is used to seek more general exact solutions of the improved Eckhaus equation and the (2+1)-dimensional improved Eckhaus equation. As a result, hyperbolic function solutions, trigonometric function solutions and rational function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions are also derived from the traveling wave solutions. Moreover, it is shown that the proposed method is direct, effective and can be used for many other nonlinear evolution equations in mathematical physics

The protective effect of vitamin C and chitosan on oxidative biomarkers in gills of common carp (Cyprinus carpio) exposed to cadmium chloride

The purpose of this study was to evaluate the effect of antioxidants, vitamin C and chitosan, on oxidative stress markers in gills of fish during exposure to cadmium chloride. Fish were fed with either of commercial diet (control group), chitosan enriched diet (100 mg Kg-1 feed), Vitamin C enriched diet (100 mg Kg-1 feed), or chitosan + vitamin C enriched diet, and simultaneously exposed to 0.2 mg L-1 cadmium chloride for 21 days. At the end of experiment, oxidative stress biomarkers such as catalase activity, total antioxidant and malondialdehyde as well as cellular biochemical parameters including aspartate aminotransferase, alanine aminotransferase and lactate dehydrogenase activities were measured. The aspartate aminotransferase, lactate dehydrogenase and catalase activities as well as malondialdehyde levels significantly increased in gill cells of fish exposed to cadmium chloride, while the cellular total antioxidant levels and alanine aminotransferase activity significantly decreased. Enzyme activities and malondialdehyde levels in fish treated with vitamin C and vitamin C combined with chitosan were returned to the normal level after 21 days. However, administration of vitamin C and chitosan did not have significant effect on the cellular total antioxidant. In conclusion, administration of natural antioxidant such as vitamin C and chitosan may increase the efficiency of the antioxidant defense system and detoxification of gill cells of fish exposed to cadmium chloride

Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation

The universal thermodynamic relations between corrections to entropy and extremality for various black holes solutions have been studied. In this regard, we hereby consider a number of different black brane solutions in different structures for perturbative corrections to general relativity. These are, namely, black brane solution in Rastall AdS massive gravity, Einstein-Yang-Mills AdS black brane solution in massive gravity and general anisotropic black brane in Horava-Lifshitz gravity. We calculate both the entropy and extremality bound by introducing a small constant correction to the action. Remarkably, we find that black brane violates the universal thermodynamic relations. In other words, a universal relation between corrections to entropy and extremality are not valid in the black brane structure.Comment: 14 pages; 2 captioned figure

Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture

In this paper, we study the inflationary scenario in logarithmic f(R) gravity, where the rate of inflation roll is constant. On the other hand, our gravitational f(R) model is a polynomial plus a logarithmic term. We take advantage of constant-roll conditions and investigate the cosmic evolution of the logarithmic f(R) gravity. Therefore, we plot some figures such as the scalar spectrum index $n_{s}$ and tensor-to-scaler ratio $r$ concerning $n$, $\beta$ and model's constant parameters, i.e., $\alpha$, $\theta$ and $\gamma$ respectively. Also, we obtain the potential by using the constant roll condition. We know that the potential value obtained with this condition has an exact value. Next, we challenge it with refined swampland conjecture with respect to the Planck data. Finally, we compare our results with the experimental data, especially Planck 2018.Comment: 20pages, 5 figure

Design of automatic speech recognition in noisy environments enhancement and modification

Recurrent neural networks (RNN) and feed-forward multi-layer perceptron’s have been proposed for determining the absence and presence of speech in continuous voice signals when there is a variety of background noise levels present. The Aurora2 and Aurora3 were used to conduct detailed performance evaluations on vocal activity detection. When a Recurrent neural network feeds on automatic speech recognition particular features and acoustic features, the best outcomes can be achieved, according to this study. Aurora2 and the French, Romanian and Norway portions of the Aurora3 corpus are also proposed for detailed studies of ASR. When noise presence probability is utilized to change for encoding speech, phone subsequent probabilities are employed; the WER is reduced by 10.3 percent

Evaluation of Bone Mineral Density, Serum Osteocalcin, and Osteopontin Levels in Postmenopausal Women with Type 2 Diabetes Mellitus, with/without Osteoporosis

OBJECTIVE: Osteoporosis (OP) is a worldwide ailment; we aim to establish new biomarkers in diagnosis by determining the levels of serum osteocalcin and osteopontin along with bone mineral density (BMD) and lumbar T-score, in postmenopausal women with type 2 diabetes mellitus (T2DM) with or without OP. METHODS: This observational study included 160 postmenopausal women who were an attendee at outpatient clinics in Al-Hussein Hospital, Thi-Qar province; subdivided into 3 groups based on their T-score testing: Group I (n = 40) comprised postmenopausal women without T2DM as controls, Group II (n = 60) comprised postmenopausal women with T2DM but without OP, and Group III (n = 60) comprised postmenopausal women with T2DM with OP. The dual-energy X-ray absorptiometry was used to measure the BMD (total body, lumbar spine, and femoral) and T-score for lumbar spine and femoral. Glycosylated hemoglobin (HbA1c), fasting blood glucose (FBG), osteocalcin, and osteopontin levels were assessed in all three groups. RESULTS: Compared with controls, Group III demonstrated significantly lower BMD (total body, lumbar spine, and femoral), T-score for lumbar spine and femoral, serum osteocalcin, and osteopontin levels than Group II and Group I (P < 0.001). FBG and HbA1c levels were significantly higher in Group III than in Groups I and II (P < 0.001). A negative correlation was proved between HbA1c levels with BMD, osteocalcin levels, and osteopontin levels in the three groups. CONCLUSIONS: Iraqi postmenopausal women with T2DM had a significantly lower bone mineral density, serum osteocalcin, and osteopontin levels. These results may serve as adjuvants in screening for OP, particularly among diabetic patients

The incidence and risk factors for development of lower limb lymphedema after treatment for gynaecological cancers

Background: The development of postoperative lower limb lymphedema (LLL) is a disabling, yet usually overlooked sequele of most gynecological cancer treatment. It can lead to significant functional problems that negatively affect gynecological cancer survivors’ daily living, work, emotional state, and overall quality of life. The objective of this study is to calculate the incidence of lower limb lymphedema in patients undergoing surgery for gynecological cancer and to evaluate the risk factors for its development.Methods: Women with newly diagnosed carcinoma ovary, carcinoma endometrium and carcinoma cervix, who underwent surgery at a tertiary cancer centre from September 2016 were included in the study. The circumference of both lower limbs was measured at prefixed sites. The limb volume was calculated using the formula C2/pi. A baseline value was taken prior to surgery. The patients were followed up every 3 months and the limb volume were calculated at each visit. An increase in limb volume by >10% was defined as lymphedema.Results: The incidence of lymphedema after 1 year follow up was 43.5%. There was no significant association between known risk factors such as extent of lymphadenectomy (p value 0.633) number of pelvic or para aortic lymph nodes removed (p value 0.69 and 0.44 respectively) and type of adjuvant therapy (p value 0.455).Conclusions: The incidence of LLL according to the present study was 43.5%. There was no statistically significant association between development of LLL and risk factors like site and number of lymph nodes removed and type of adjuvant therapy

Comparison of different algorithms to map hydrothermal alteration zones using ASTER remote sensing data for polymetallic Vein-Type ore exploration: Toroud-Chahshirin Magmatic Belt (TCMB), north Iran

© 2019 by the authors. Polymetallic vein-type ores are important sources of precious metal and a principal type of orebody for various base-metals. In this research, Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) remote sensing data were used for mapping hydrothermal alteration zones associated with epithermal polymetallic vein-type mineralization in the Toroud-Chahshirin Magmatic Belt (TCMB), North of Iran. The TCMB is the largest known goldfield and base metals province in the central-north of Iran. Propylitic, phyllic, argillic, and advanced argillic alteration and silicification zones are typically associated with Au-Cu, Ag, and/or Pb-Zn mineralization in the TCMB. Specialized image processing techniques, namely Selective Principal Component Analysis (SPCA), Band Ratio Matrix Transformation (BRMT), Spectral Angle Mapper (SAM) and Mixture Tuned Matched Filtering (MTMF) were implemented and compared to map hydrothermal alteration minerals at the pixel and sub-pixel levels. Subtle differences between altered and non-altered rocks and hydrothermal alteration mineral assemblages were detected and mapped in the study area. The SPCA and BRMT spectral transformation algorithms discriminated the propylitic, phyllic, argillic and advanced argillic alteration and silicification zones as well as lithological units. The SAM and MTMF spectral mapping algorithms detected spectrally dominated mineral groups such as muscovite/montmorillonite/illite, hematite/jarosite, and chlorite/epidote/calcite mineral assemblages, systematically. Comprehensive fieldwork and laboratory analysis, including X-ray diffraction (XRD), petrographic study, and spectroscopy were conducted in the study area for verifying the remote sensing outputs. Results indicate several high potential zones of epithermal polymetallic vein-type mineralization in the northeastern and southwestern parts of the study area, which can be considered for future systematic exploration programs. The approach used in this research has great implications for the exploration of epithermal polymetallic vein-type mineralization in other base metals provinces in Iran and semi-arid regions around the world