Momentum Ranking Function of Z-Numbers and its Application to Game Theory

بعد أن قدم زاده مفهوم ارقام - z أبدى العلماء في مختلف المجالات اهتماما كبيرا بتطبيق هذا المفهوم على مختلف التطبيقات. في تطبيقات أرقام - z ، لمقارنة رقمين z ، يعد إجراء الترتيب ضروريا. في حين تم بالفعل اقتراح عدد قليل من وظائف الترتيب في الأدبيات ، هناك حاجة لتطوير بعض وظائف الترتيب الجيدة. في هذه الورقة ، تم اقتراح دالة ترتيب جديدة لأرقام - z  "وظيفة ترتيب الزخم" (MRF). أيضا ، تم النظر في المشكلات النظرية للعبة حيث تكون عناصر مصفوفة العائد هي أرقام - z وتم توضيح تطبيق وظيفة ترتيب الزخم في مثل هذه المشكلات.After Zadeh introduced the concept of z-number scientists in various fields have shown keen interest in applying this concept in various applications. In applications of z-numbers, to compare two z-numbers, a ranking procedure is essential.  While a few ranking functions have been already proposed in the literature there is a need to evolve some more good ranking functions.  In this paper, a novel ranking function for z-numbers is proposed- "the Momentum Ranking Function"(MRF). Also, game theoretic problems where the payoff matrix elements are z-numbers are considered and the application of the momentum ranking function in such problems is demonstrated

Effectiveness of pelvic bridge exercise on dysmenorrhea among adolescent girls at selected Government Girls Higher Secondary School, Madurai

Effectiveness of pelvic bridge exercise on dysmenorrhea among adolescent girls at selected Government Girls Higher Secondary School Madurai. Objectives: To assess the level of dysmenorrhea among adolescent girls, To evaluate the effectiveness of pelvic bridge exercise on dysmenorrhea among adolescent girls. To associate the level of dysmenorrhea among adolescent girls with selected Socio demographic variable. Hypotheses: There is a significant difference between the pretest and posttest level of dysmenorrhea among adolescent girls studying in selected Government girls higher secondary school, Madurai. There is a significant association between the level of dysmenorrhea among adolescent girls with their selected socio demographic variables. Conceptual Frame work: The conceptual frame of this study is based on modified kings Goal Attainment Model. Methodology: Quantitative approach and Pre experimental-One group pretest posttest design was adopted for this study. Setting: The study was conducted at selected Government Girls Higher Secondary School, Madurai. Sample Size: The sample size was 60. Sampling Technique: The Purposive sampling technique was used to select the subjects. Intervention: The intervention applied in this study was Pelvic bridge exercise, daily 2 times per day for 6 days per week up to next period. Conclusion: This study concludes that the Pelvic bridge exercise significantly reduced the level of dysmenorrhea among the Adolescent girls

Product Signed Domination in Graphs

Let  be a simple graph. The closed neighborhood of , denoted by , is the set . A function  is a product signed dominating function, if for every vertex where . The weight of , denoted by , is the sum of the function values of all the vertices in . . The product signed domination number of  is the minimum positive weight of a product signed dominating function. In this paper, we establish bounds on the product signed domination number and estimate product signed domination number for some standard graph

Can serum ferritin levels predict the severity of dengue early?: an observational study

Background: Dengue infection is a major public health threat; early recognition is crucial to improve the survival in severe dengue. Although there are various biomarkers to predict the severity of dengue, they are not routinely used in clinical practice for prognostication. We analyzed whether serum ferritin can be used to predict the severity at an earlier stage.Methods: A hospital based prospective observational study was done involving 119 dengue cases diagnosed by positive NS1 antigen or dengue specific serology (capture ELISA). Serum ferritin was measured in all at the time of diagnosis. Clinical and platelet count monitoring was done daily; classified as severe and non-severe according to 2009 WHO criteria.Results: Out of 119, 5 developed severe dengue; patients with severe dengue had significantly lower median platelet count (p<0.0001); higher ferritin levels (p=0.03) and hospital stay (p<0.0001) than non-severe group. Age had a significant negative co-relation with platelet count (r= -0.427; p<0.0001); positive correlation with ferritin levels (r=0.16; p=0.08) and hospital stay (r= 0.26; p=0.004) indicating that elderly subjects are at risk of severe disease. Serum ferritin levels negatively correlated with the platelet count (r= -0.51 p<0.001). High ferritin levels in severe cases are noted from day 4 of clinical illness.Conclusions: Elevated serum ferritin levels can be used as a potential early prognostic marker to predict the severity of dengue infection in clinical practice

Glycaemic control and C- reactive protein levels in type 2 diabetes mellitus -how well they co-relate?: a prospective study

Background: Poorly controlled diabetes mellitus as indicated by elevated glycated haemoglobin (HbA1c) levels is associated with increased cardiovascular risk. C–reactive protein (CRP), an important cardiovascular risk factor, is elevated in diabetics with poor glycaemic control than those with good control. The present study assessed the correlation between HbA1c and CRP levels.Methods: A prospective study was conducted in thirty type 2 diabetic patients irrespective of the disease duration and treatment; those with established target organ damage were excluded. HbA1c and hsCRP levels were measured at baseline; sugars were monitored monthly and medications optimised; at the end of six months HbA1c and hsCRP levels were measured.Results: Mean age of the study subjects was 58.7±8.6 years; At the baseline, all had poor glycaemic control (HbA1c >7%); 15 had hsCRP >3 mg/L. At the end of 6 months, 5 achieved good glycaemic control (HbA1c 3 mg/L. Baseline median hsCRP was 3.33 mg/L (0.68, 15.9) and at the end of 6 months it was 2.08 mg/L (0.48, 9.12). Mean HbA1c at baseline and end line was 10.6±1.55% and 8.43±1.84% respectively. There was significant reduction in both the mean HbA1c and median hsCRP at the end of 6 months (p <0.001). Positive correlation was observed between HbA1c and CRP at baseline (r=0.32, p=0.10). However, this was not observed at the end of 6 months.Conclusions: There is positive correlation between the level of glycaemic control (HbA1c) and CRP levels; Better glycaemic control results in significant reduction in the hsCRP levels

ANA immunofluorescence versus profile-how well they perform in autoimmune diseases: an analysis of their clinical utility in a tertiary care centre

Background: While Immunofluorescence assay remains the gold standard for the detection of ANA, Immunoprofile by ELISA is being increasingly utilized in view of easy availability and quick results. The study was done to find out whether ANA profile results are comparable with IFA.Methods: About 100 patients who had undergone both immunofluorescence and Immunoprofile were included. Immunofluorescence correlation with profile and their correlation with the disease were analyzed; sensitivity, specificity and predictive values were calculated.Results: ANA was positive in 78% by immunofluorescence; 73% by ANA profile. 22 patients in whom ANA IFA was negative were picked up by ANA profile. 27 patients who were not detected by ANA profile were tested positive by IFA. ANA testing by immuno profile had a sensitivity of 65% with a positive predictive value of 69% when compared with IFA. Immunofluorescence pattern and ANA profile correlated with the diagnosed disease in 63% and 49% respectively. Immunofluorescence pattern correlated with the ANA profile in only 35% of the study subjects. On correlation with the disease, ANA profile scored less compared to ANA-IFA with a sensitivity and specificity of 46% each; positive predictive value of 59%; negative predictive value of 33%. On analysis of individual disease, ANA profile is as good as IFA in SLE and scleroderma in terms of sensitivity. In Sjogren’s syndrome and MCTD, specificity and positive predictive value of ANA profile is high.Conclusions: ANA IFA performs better than immunoprofile in the diagnosis of autoimmune diseases

Connected Domination on Linear and Double Hexagonal Chains

is the minimum cardinality taken over all connected domination sets of G

FASTRA – SAFE AND SECURE

The innovative congestion control algorithm named FASTRA (Fast Active Stability TCP) is aimed for high-speed long-latency networks. Four major difficulties in FASTRA are highlighted at both packet and flow levels. The architecture and characterization of equilibrium and stability properties of FASTRA are robust. Experimental results of FASTRA outsmart TCP Reno, HSTCP, and STCP in terms of throughput, fairness, stability, and responsiveness. FASTRA aims to rapidly stabilize high-speed long-latency networks into steady, efficient and fair operating points, in dynamic sharing environments, and the preliminary results are produced as output of our project. The Proposed architecture is explained with the help of an existing real-time example as to explain why FASTRA download is chosen rather than FTP download. The Paper is concluded with the results of the new congestion control algorithm aided with the graphs obtained during its simulation in NS2. On proper implementation, many safe, FASTRA downloads and data transfers can be carried over a high speed internet network

Quality and shelf life status of salted and sun dried fishes of Tuticorin fishing villages in different seasons

Abstract The nutritional quality and shelf life of salted and sun dried fishes of Tuticorin coastal villages were assessed seasonally. The quality parameters varied with seasons and it was poor during monsoon season. The spoilage indicators TMA-N and TVB-N of the dried fish sample did not exceed the permissible limit. During monsoon season the dried fish showed visible fungal growth within one month of storage. During the second month of the post monsoon period dried fish showed slight visible fungal growth. In summer season, no visible fungal colonies even after 90 days of storage were recorded. During the storage period dried fishes absorbed moisture from the atmosphere which resulted in the increase of microbial load and in turn led to the increase of TVB-N value. The poor quality of dried fishes were mainly due to unhygienic processing, inadequate salting, unhygienic drying, use of spoiled fish for processing and lack of air tight packing of the dried fishes

Is the binomial coefficient (2nn)2n \choose n square free?

In this paper, we prove the Erd\"os conjecture that the binomial coefficient ${2n \choose n}$ is never square free, for all $n>4$