Syzygies, Betti numbers and regularity of cover ideals of certain multipartite graphs

Let $G$ be a finite simple graph on $n$ vertices. Let $J_G \subset K[x_1, \ldots, x_n]$ be the cover ideal of $G$. In this article, we obtain syzygies, Betti numbers and Castelnuovo-Mumford regularity of $J_G^s$ for all $s \geq 1$ for certain classes of graphs $G$.Comment: Title and other minor change

Ultrasound and Doppler evaluation of salivary gland pathology

Background: Lesions of salivary gland are very commonly encountered in clinical practice. Only by Clinical examination alone it is difficult to differentiate between them and know its exact cause and etiology. It would definitely benefit the patient as well as the doctor if they could get an idea of the exact type of lesion affecting the salivary gland. Hence, this study was undertaken to demonstrate as how high resolution ultrasound imaging and use of colour Doppler can be useful in evaluation of salivary gland lesions.Methods: Duration of study was1yearwith sample size of 30 patients. This study has been conducted in the department of Radiodiagnosis JNMC, Sawangi, Wardha all cases irrespective of age and sex referred to the department were evaluated. Aloka Prosound Alpha 7 USG machine with a high resolution probe linear transducer was used. The lesions were evaluated by high resolution real time ultrasound and colour Doppler.Results: Most of the patients were in the age group 41-50years and had male preponderance. Most presented with unilateral swelling which was tender and firm in consistency. Amongst the study group saladenitis was most frequent finding followed by pleomorphic adenoma and carcinoma. Pleomorphic adenoma was most common neoplasm having predilection for the parotid gland. Saladenitis was most common in submandibular gland. The commonest histopathological finding was pleomorphic adenoma.Conclusions: The study concludes that High resolution ultrasound can differentiate various salivary gland lesions. Addition with colour Doppler ultrasound can increase its diagnostic accuracy. High resolution ultrasound with colour Doppler sonography should be first line of imaging modality in suspected cases of salivary gland lesions

Bayesian framework for characterizing cryptocurrency market dynamics, structural dependency, and volatility using potential field

Identifying the structural dependence between the cryptocurrencies and predicting market trend are fundamental for effective portfolio management in cryptocurrency trading. In this paper, we present a unified Bayesian framework based on potential field theory and Gaussian Process to characterize the structural dependency of various cryptocurrencies, using historic price information. The following are our significant contributions: (i) Proposed a novel model for cryptocurrency price movements as a trajectory of a dynamical system governed by a time-varying non-linear potential field. (ii) Validated the existence of the non-linear potential function in cryptocurrency market through Lyapunov stability analysis. (iii) Developed a Bayesian framework for inferring the non-linear potential function from observed cryptocurrency prices. (iv) Proposed that attractors and repellers inferred from the potential field are reliable cryptocurrency market indicators, surpassing existing attributes, such as, mean, open price or close price of an observation window, in the literature. (v) Analysis of cryptocurrency market during various Bitcoin crash durations from April 2017 to November 2021, shows that attractors captured the market trend, volatility, and correlation. In addition, attractors aids explainability and visualization. (vi) The structural dependence inferred by the proposed approach was found to be consistent with results obtained using the popular wavelet coherence approach. (vii) The proposed market indicators (attractors and repellers) can be used to improve the prediction performance of state-of-art deep learning price prediction models. As, an example, we show improvement in Litecoin price prediction up to a horizon of 12 days

Imaging diagnosis of primary pelvic hydatid: a rare case report

Hydatid disease is caused by Echinococcus granulosus a commonly encountered parasitic infection to humans in tropical countries. Humans are accidental intermediate hosts of Echinococcus. Liver is the most commonly infected organ. Any organ of the body can be affected but primary pelvic hydatid disease is rarely reported. Preoperative diagnosis can be established by imaging studies such as ultrasonography, computed tomography (CT), and magnetic resonance imaging (MRI). Here, a case is reported of pelvic hydatid in a young female who presented with recurrent episodes of abdominal pain along with an abdominal mass. General physical examination and radiological evaluation confirmed a multiloculated cystic lesion in pelvic. Patient was subjected to laparotomy which confirmed the diagnosis of a primary pelvic hydatid disease

Emulating Thin Clients and Voice-over-IP with Wane

Volume 2 Issue 8 (August 2014

Ensemble quantum-information processing by NMR: implementation of gates and the creation of pseudopure states using dipolar coupled spins as qubits

Quantum-information processing is carried out using dipolar coupled spins and high-resolution nuclear magnetic resonance (NMR). The systems chosen are the dipolar coupled methyl protons of CH3CN partially oriented in a liquid crystalline matrix yielding a two-qubit system and dipolar coupled 13C and methyl protons of 13CH3CN also partially oriented in the liquid crystalline matrix, yielding a three-qubit system. The dipolar coupled protons of oriented CH3 group are chemically and magnetically identical and their eigenstates can be divided into a set of quartet states (symmetric A) and a pair of doublet (E) states. We describe here a method for selectively retaining the magnetization of the symmetric states, yielding two and three qubit systems. We create pseudopure states using single-quantum-transition selective pulses and implement two- and three-qubit gates using one- and two-dimensional NMR

Optimization of single halo p-MOSFET implant parameters for improved analog performance and reliability

The effect of Channel Hot Carrier (CHC) stress under typical analog operating conditions is studied for p-MOSFETs. Our detailed characterization results show that Single Halo devices not only show improved performance, but also are immune to CHC degradation under various operating conditions