An Exact Interior Kerr Solution

We present a simple exact solution for the interior of a rotating star. The interpretation of the stress energy tensor as that of a fluid requires the existence of a high viscosity, which is quite expected for a rotating fluid. In spite of the negative stresses, energy conditions are in fact all satisfied.Comment: Two columns; 3 printed page

Distributed Differential Privacy and Applications

Recent growth in the size and scope of databases has resulted in more research into making productive use of this data. Unfortunately, a significant stumbling block which remains is protecting the privacy of the individuals that populate these datasets. As people spend more time connected to the Internet, and conduct more of their daily lives online, privacy becomes a more important consideration, just as the data becomes more useful for researchers, companies, and individuals. As a result, plenty of important information remains locked down and unavailable to honest researchers today, due to fears that data leakages will harm individuals. Recent research in differential privacy opens a promising pathway to guarantee individual privacy while simultaneously making use of the data to answer useful queries. Differential privacy is a theory that provides provable information theoretic guarantees on what any answer may reveal about any single individual in the database. This approach has resulted in a flurry of recent research, presenting novel algorithms that can compute a rich class of computations in this setting. In this dissertation, we focus on some real world challenges that arise when trying to provide differential privacy guarantees in the real world. We design and build runtimes that achieve the mathematical differential privacy guarantee in the face of three real world challenges: securing the runtimes against adversaries, enabling readers to verify that the answers are accurate, and dealing with data distributed across multiple domains

A study of Indian print exports to the United States

Offshoring is the reality of globalization. According to a survey conducted by trendstowatchgraphics.com, the percentage of American print providers who are worried about US print buyers offshoring their print requirements increased from 1% in 1995 to 7% in 2005. According to a survey conducted by the Graphics Arts Technical Foundation, 40% of the printers in the US think that their current customers are also seeking out offshore printers for their printing needs. According to UN Comtrade, exports of printed matter to the US from China in 2005 amounted to $722 million, and exports of printed matter to the US from India during the same period amounted to$52 million (The market for overseas print providers, 2006). China is currently the preferred destination for US print buyers for offshoring their print requirements. But India, having invested heavily in education, is likely to see phenomenal growth in the upcoming years. While China is well-known for manufacturing, India has grown in the IT sector. India is also developing its infrastructure to enhance growth in the manufacturing sector. According to Mr. Regis Delmontagne, former president of the Association for Suppliers of Printing, Publishing, and Converting Technologies (NPES): xii India, today, is not merely a target market for products from outside its borders . . . and not just a place foreign customers will turn for less expensive printing. It is also a source of new products, new technologies, and new ideas. . . . The United States remains India’s largest trading partner, providing both a market for Indian goods and services and a dependable flow of the latest technologies to help India continue its competitive emergence. (as cited in Association for Suppliers of Printing, Publishing, and Converting Technologies, 2006) This thesis reports on the results of two surveys: one sent to book publishers in the US and the other sent to Indian print service providers. The main results of the thesis are as follows: • Turnaround times and quality concerns are the biggest barriers prohibiting the growth of Indian printers in the US print buying market. • The US book publishers are not aware of the manufacturing capabilities of the Indian printers. They are more prone towards sending their pre-media requirements to India • Confidentiality, level of technology and infrastructure, and range of services offered by the Indian print service providers are the three main criteria by the US book publishers while selecting Indian print service providers. • There is definitely an opportunity for the Indian print service providers in the US print buying market if they can create brand name, pay more attention to quality, establish a common medium for communication, and plan and schedule accurately

Improved Cosmological Constraints from Gravitational Lens Statistics

We combine the Cosmic Lens All-Sky Survey (CLASS) with new Sloan Digital Sky Survey (SDSS) data on the local velocity dispersion distribution function of E/S0 galaxies, $\phi(\sigma)$, to derive lens statistics constraints on $\Omega_\Lambda$ and $\Omega_m$. Previous studies of this kind relied on a combination of the E/S0 galaxy luminosity function and the Faber-Jackson relation to characterize the lens galaxy population. However, ignoring dispersion in the Faber-Jackson relation leads to a biased estimate of $\phi(\sigma)$ and therefore biased and overconfident constraints on the cosmological parameters. The measured velocity dispersion function from a large sample of E/S0 galaxies provides a more reliable method for probing cosmology with strong lens statistics. Our new constraints are in good agreement with recent results from the redshift-magnitude relation of Type Ia supernovae. Adopting the traditional assumption that the E/S0 velocity function is constant in comoving units, we find a maximum likelihood estimate of $\Omega_\Lambda = 0.74$--0.78 for a spatially flat unvierse (where the range reflects uncertainty in the number of E/S0 lenses in the CLASS sample), and a 95% confidence upper bound of $\Omega_\Lambda<0.86$. If $\phi(\sigma)$ instead evolves in accord with extended Press-Schechter theory, then the maximum likelihood estimate for $\Omega_\Lambda$ becomes 0.72--0.78, with the 95% confidence upper bound $\Omega_\Lambda<0.89$. Even without assuming flatness, lensing provides independent confirmation of the evidence from Type Ia supernovae for a nonzero dark energy component in the universe.Comment: 35 pages, 15 figures, to be published in Ap

Prediction of Heart Disease using Deep Convolutional Neural Networks

Heart disease is a very deadly disease. Worldwide, the majority of people are suffering from thisproblem. Many machine learning (ML) approaches are not sufficient to forecast the disease caused bythe virus. Therefore, there is a need for one system that predicts disease efficiently. The DeepLearning approach predicts the disease caused by the blocked heart. This paper proposes aConvolutional Neural Network (CNN) to predict the disease at an early stage. This paper focuses on acomparison between the traditional approaches such as Logistic Regression, K-Nearest Neighbors(KNN), Naïve-Bayes (NB), Support Vector Machine (SVM), Neural Networks (NN), and theproposed prediction model of CNN. The UCI machine learning repository dataset for experimentationand cardiovascular disease (CVD) predictions with 94% accuracy

Quantum Neural Network Based Machine Translator for Hindi to English

This paper presents the machine learning based machine translation system for Hindi to English, which learns the semantically correct corpus. The quantum neural based pattern recognizer is used to recognize and learn the pattern of corpus, using the information of part of speech of individual word in the corpus, like a human. The system performs the machine translation using its knowledge gained during the learning by inputting the pair of sentences of Devnagri-Hindi and English. To analyze the effectiveness of the proposed approach, 2600 sentences have been evaluated during simulation and evaluation. The accuracy achieved on BLEU score is 0.7502, on NIST score is 6.5773, on ROUGE-L score is 0.9233, and on METEOR score is 0.5456, which is significantly higher in comparison with Google Translation and Bing Translation for Hindi to English Machine Translation

Forming of Ferritic Stainless Steel Bipolar Plates

The effect of temperature and lubrication on the stamping of ferritic stainless steel bipolar plates has been studied. Stamping of micro-scale bipolar plate channels in ferritic stainless steel foils of 75 ╡m thickness was carried out at 25, 100 and 200 ░C with stamping loads varying between 36 and 56 kN, without and with lubrication. In unlubricated stamping, high contact friction between the sheet and the die caused strain localisation that increased with stamping load and temperature, and heavy surface damage was observed. Boron nitride, tungsten disulphide and molybdenum disulphide were used as solid lubricants in the process. No necking was observed at 200 ░C, the strain distribution improved with temperature and the surface damage was considerably reduced, although WS2 and MoS2 produced transfer layers on the surfaces. MoS2-lubrication, 200 ░C and stamping loads between 45 and 50 kN have been identified as the most suitable conditions for this process