Blow ups and blow downs of quasitoric orbifolds and simplicial toric varieties

The technique of blow up has been used to solve several important problems in algebraic geometry and symplectic topology since 1980s. In this paper, we compare the singularities and torsions in the integral cohomologies of quasitoric orbifolds with its blow ups as well as blow downs. In general, it is difficult to make such resemblance. However under few unavoidable hypotheses in this circumstance, we show that no new singularity and torsion arises in the integral cohomologies of certain blow ups and blow downs of a quasitoric orbifold. As a consequence, we construct infinitely many equivariantly formal non-trivial quasitoric orbifolds from a given one. We show that our main result on blow downs of quasitoric orbifolds generalizes the main work of https://doi.org/10.1515/forum-2018-0019. Even though blow down of a quasitoric orbifold may seem to be a reverse of blow up of a quasitoric orbifold, we have discovered some of its own beauty. We continue our investigation into blow ups and blow downs of a class of simplicial toric varieties at the end of this paper.Comment: 37 pages, 15 figures; Several improvements have been done. Comments are welcom

Throughput-Optimal Scheduling in Multichannel Access Point Networks under Infrequent Channel Measurements

We consider the problem of uplink/downlink scheduling in a multichannel wireless access point network where channel states differ across channels as well as users, vary with time, and can be measured only infrequently. We demonstrate that, unlike infrequent measurement of queue lengths, infrequent measurement of channel states reduce the maximum attainable throughput.We then prove that in frequency division multiplexed systems, a dynamic scheduling policy that depends on both the channel rates (averaged over the measurement interval) and the queue lengths, is throughput optimal. We also generalize the scheduling policy to solve the joint power allocation and scheduling problem. In addition, we provide simulation studies that demonstrate the impact of the frequency of channel and queue state measurements on the average delay and attained throughput

A Novel Power Efficient Routing Scheme for Wireless Sensor Networks

The nodes in a sensor network are severely constrained by energy. Reducing the energy consumption of the nodes to prolong the network lifetime is considered a critical challenge while designing a new routing protocol. In this paper we propose a new power-aware, adaptive, hierarchical and chain based protocol - CCPAR (Clustered Chain based Power Aware Routing) that utilizes the periodic assignments of the cluster head role to different nodes based on the highest residual battery capacity for ensuring the even dissipation of power by all the nodes. Transmission from a single cluster head to the base station in each round and the distribution of the data aggregation workload among all the nodes, save the cluster heads from early exhaustion. The use of data aggregation also reduces the amount of information to be transmitted to the base station. By chaining the nodes in each cluster and using a separate chain for the cluster heads, CCPAR offers the advantage of small transmit distances for most of the nodes and thus helps them to be operational for a longer period of time by conserving their limited energy. The simultaneous construction of multiple chains in different clusters reduces the time for chain construction as well as the length of each of the chains. These shorter length chains solve the problem of excessive delay in transmission for the distant nodes. Use of a fresh set of parameter values in each round provides the users the flexibility to change these values in a way to control the power consumption. The introduction of MAX threshold enables CCPAR to be quickly responsive and thus highly suitable for time critical applications. From the performance evaluation we observe that CCPAR outperforms other protocols in terms of energy saving and longevity of the network

A study on prognostic significance of serum uric acid in acute myocardial infarction in a tertiary care institute

Background: This study was done to find out any relationship between serum uric acid and AMI severity and its short-term outcome. To see the correlation between serums uric acid level with Killip Class and mortality outcome following AMI.Methods: 100 patients of AMI were included this study based on the inclusion and exclusion criteria. Detailed history, physical examination and relevant systemic examination including detailed examination of CVS system were done as per a structured proforma and necessary laboratory investigations were done.Results: 100 cases of myocardial infarction were studied, out of which 90 patients had STEMI and 10 patients had NSTEMI. There is significant difference of D0 uric acid level was observed for previous history of AMI. There is significant difference in mean uric acid level between dyslipidemic and non-dyslipidemic population. There is significant difference in mean uric acid level on D0 between diabetic and non-diabetic population. Serum uric acid level is low among patients with lower Killip class and high among higher Killip class. Lower the uric acid level, higher the percentage of survival and higher the uric acid level, higher the percentage of mortality.Conclusions: Patients of Killip class lll and lV had higher levels of uric acid as compared to patients of class l and ll. Combination of Killip class and serum uric acid level after acute myocardial infarction is a good predictor of severity of heart failure after AMI

A primal algorithm for optimization based rate control for unicast sessions

Abstract-In this paper, we consider the rate control problem with the objective of maximizing the total user utility. It takes into account the possible differences in user requirements, and also provides a framework for achieving a wide range of fairness objectives. We propose a simple algorithm for achieving the optimal rates for this problem. The algorithm can be implemented in a distributed way and does not require the network to know the user utility functions. In our algorithm, the network communicates to the user the number of congested links on the user's path, and the user (end-host) adjusts its rate accordingly, taking into account its utility function and the network congestion feedback. We show through analysis and experimentation that our algorithm converges to the optimum rates

Epidermolytic hyperkeratosis: a rare case

A 6 month old girl presented with generalized hyperkeratosis, most marked over the flexures since birth. On the basis of the clinical& histopathologic findings, she was diagnosed as a case of epidermolytic hyperkeratosis .She was treated with retinoid therapy. Epidermolytic hyperkeratosis (EHK) is an uncommon form childhood keratinizing disorder. Early in life it is associated with generalized blistering and erythroderma. Later on, it produces rippled type of hyperkeratosis. The purpose of this report is to highlight the features of this rare case

Study of relation of serum magnesium level with glycemic control in diabetes mellitus

Background: Diabetes mellitus (DM) refers to a group of common metabolic disorders that share the phenotype of hyperglycemia. Several distinct types of DM are caused by a complex interaction of genetics and environmental factors. This study was done to evaluate the relation between serum magnesium and glycemic control in diabetics.Methods: 50 patients of T2DM were included this study. Detailed history, physical examination and relevant systemic examination were performed and necessary laboratory tests FBS, PPBS, HbA1c, magnesium level were doneResults: The mean age (mean± SD) of the patients was 49.82±7.38 years with range 29-58 years and the median age was 51 years and Male 32 (64%), Female 18 (36%), M:F= 1.78:1. In this study, statistically significant correlation was found between level of magnesium and age (p=0.04). In present study no statistically significant association was found between level of magnesium and sex (p=0.738). In high magnesium level (≥1.7), mean BMI 25.08±2.82 whereas mean BMI 24.25±2.87 in low magnesium level (<1.7) and this difference was not statistically significant (p=0.308). Mean difference of FBS with magnesium level was statistically significant (p<0.001) and mean difference of PPBS with magnesium level was also statistically significant (p<0.001). It was also found that mean difference of HbA1c level with magnesium level was statistically significant (p<0.001).Conclusions: This study clearly depicts that in diabetes mellitus serum magnesium levels had a positive correlation with glycemic control. Serum levels of magnesium have been found to correlate inversely with fasting blood glucose concentration, post prandial blood glucose concentration and the percentage of HbA1c. The study also establishes a positive correlation of magnesium with age

A Primal Algorithm for Optimization Based Rate Control for Unicast Sessions

In this paper, we consider the rate control problem with the objective ofmaximizing the total user utility. It takes into account the possible differences in user requirements, and also provides a framework for achieving a wide range of fairness objectives. We propose a simple algorithm for achieving the optimal rates for this problem. The algorithm can be implemented in a distributed way and does not require the network to know the user utility functions. In our algorithm, the network communicates to the user the number of congested links on the user's path, and the user (end-host) adjusts its rate accordingly, taking into account its utility function and the network congestion feedback. We show through analysis and experimentation that our algorithm converges to the optimum rates