Search

In a recent work [\href{http://journals.aps.org/pra/abstract/10.1103/PhysRevA.86.042113}{Phys. Rev. A 86, 042113 (2012)}] the question of persistency of entanglement and nonlocality of multi-party systems under particle loss has been addressed. This question is of immense importance considering the practical realization of the information theoretic tasks which make use of the power of quantum correlations. But in multipartite scenario more interesting cases arise since subsystems can also possess genuineness in correlation which is prevalently inequivalent to the bipartite scenario. In this work, we investigate the persistency of such genuine correlations under particle loss. Keeping in mind the practical importance, considerable attention has been devoted to find the multipartite states which exhibit maximal persistency of genuine correlations., Comment: 11 pages, 3 figures, revtex4, draft, comments welcome. arXiv admin note: text overlap with arXiv:1006.0036, arXiv:1207.3986 by other authors

In [\href{http://www.sciencedirect.com/science/article/pii/037596019290711T}{Phys. Lett. A {\bf 166}, 293 (1992)}] Popescu characterized nonlocality of pure $n$-partite entangled systems by studying bipartite violation of local realism when $n-2$ number of parties perform projective measurements on their particles. A pertinent question in this scenario is whether similar characterization is possible for $n$-partite mixed entangled states also. In the present work we have followed an analogous approach so as to explore whether given a tripartite mixed entangled state the conditional bipartite states obtained by performing projective measurement on the third party, demonstrate a weaker form of nonlocality, quantum steering. We also compare this new phenomenon of conditional steering with existing notions of tripartite correlations. Interestingly the tripartite state need not be genuinely entangled to demonstrate conditional steering., Comment: 12 pages, 7 figures, revtex4, typos and errors corrected, comments welcome

In this paper we present a new technique for measuring the three-dimensional (3D) morphology of faceted crystals. This new technique is based on the observation that a significant amount of regular...

In this paper we investigate the effect of superposition of states on local conversion of pure bipartite states under deterministic LOCC. We are able to form a bridge between comparable and incomparable classes of states through the linear superposition of states. For example, if we consider two pairs of incomparable states, then their superposition may result into a comparable pair of states. We investigate many such cases and provide some of the results in tabular form. We also investigate the entanglement behavior of such classes of states, specifically their monotone nature. Finally we provide some bounds of different measures of entanglement based on the idea of comparability and incomparability under deterministic LOCC., Comment: 9 pages, pdflatex, no figure, to appear in the journal Quantum Information Processing

Ectopic adrenocorticotrophic hormone (ACTH) syndrome (EAS) commonly occurs secondary to neuroendocrine tumours and small cell carcinoma of lung. EAS has also been reported in association with gastric carcinoids. But, the occurrence of EAS secondary to gastric adenocarcinoma has rarely been reported. A 45-year-old male patient from Bangladesh presented with abdominal pain, jaundice and hyperpigmentation. Extensive work-up revealed poorly differentiating mucin-secreting adenocarcinoma of stomach with lymphangitis carcinomatosa of lung, bilateral adrenal metastasis and malignant common bile duct (CBD) stricture. Laboratory reports were suggestive for ectopic ACTH production. Most of these features are very rare in adenocarcinoma of stomach, and all these rare events occurring in a single patient is probably the rarest.

The entanglement of a pure bipartite state is uniquely measured by the von-Neumann entropy of its reduced density matrices. Though it cannot specify all the non-local characteristics of pure entangled states. It was proven that for every possible value of entanglement of a bipartite system, there exists an infinite number of equally entangled pure states, not comparable(satisfies Nielsen’s criteria) to each other. In this work, we investigate other correlation measures of pure bipartite states that are able to differentiate the quantum correlations of the states with entropy of entanglement. In Schmidt rank 3, we consider the whole set of states having same entanglement and compare how minutely such states can be distinguished by other correlation measures. Then for different values of entanglement we compare the sets of states belonging to the same entanglement and also investigate the graphs of different correlation measures. We extend our search to Schmidt rank 4 and 5 also.

Monogamy is a defining feature of entanglement, having far reaching applications. Recently, Regula \textit{et.al.} in Phys. Rev. Lett. \textbf{113}, 110501(2014) have proposed a stronger version of monogamy relation for concurrence. We have extended the strong monogamy inequality for another entanglement measure, viz., negativity. In particular, we have concentrated on four-qubit system and provided a detail study on the status of strong monogamy on pure states. Further, we have analytically provided some classes of states for which negativity and squared negativity satisfy strong monogamy. Numerical evidences have also been shown in proper places. Our analysis also provides cases where strong monogamy is violated., 8 pages, 8 figures, revtex, comments welcome

Nodular lymphocyte predominant Hodgkin’s disease occurs in 5% of all cases of Hodgkin’s disease. It occurs more commonly in male. Only 5% of all Hodgkin’s lymphoma cases develop spinal cord compression[1] and in only 0.2% cases, spinal cord compression occurs as the initial presentation[2]. So our case is rare both in the form of the unique variety of Hodgkin’s disease and also in the form of presentation.

In this paper, we present a new relationship between fuzzy concept lattice and fuzzy graph. Given a fuzzy binary relation, we define an underlying fuzzy graph, and establish a new relation between the set of elements of the fuzzy concept lattice built from the fuzzy relation and the set of minimal disconnections of the associated fuzzy graph. This link is important from the point of view of application and computation.

The cumulative sum procedure is an effective statistical process control tool that can be used to monitor the quality of ready mixed concrete during its production process. In this paper, an attempt has been made to design and apply a new cumulative sum procedure for the ready mixed concrete industry, which takes care of the risks involved in and associated with the production of concrete. This new procedure can be termed as risk adjusted cumulative sum. The 28-day characteristic cube compressive strengths of the various grades of concrete and detailed information regarding the production process and the risks associated with production were collected from the operational ready mixed concrete plants in and around Ahmedabad and Delhi, two important cities in India. The risks were quantified using a likelihood-based scoring method. Finally, a risk adjusted cumulative sum model was developed by imposing the weighted score of the estimated risks on the conventional cumulative sum plot. This model is a more effective and realistic tool for monitoring the strength of ready mixed concrete.

This research work is an attempt to improve the quality of concrete by implementing statistical process control tools like CUSUM with V-mask and exponentially weighted moving average (EWMA) control charts for ready-mixed concrete (RMC) plants in the Gandhinagar and Ahmedabad regions of India. These tools are used for sensitising the qualitative analysis of concrete in terms of the 28 days cube compressive strength. It has been observed that the RMC plant authorities were using an over-conservative mix design for the grades of concrete produced. This practice resulted in the usage of more cement than that stipulated in the mix design. The usage of higher cement content is wastage of resource. Also, this practice results in adverse side effects like production of more heat of hydration which creates shrinkage cracks. The application of these tools for strength monitoring would result in cost savings of about INR 4.8 million to 7.2 million per annum.

Crystal size estimation from in situ images has received attention recently as a means to estimate product properties in real-time. In this paper, an automated image analysis strategy that combines classical image analysis techniques with multivariate statistics has been developed for online analysis of in situ images from crystallization process. The strategy introduces a novel image segmentation step based on information extracted from multivariate statistical models. Experimental results for batch cooling crystallization of monosodium glutamate show that the strategy effectively extracts crystal size and shape information from in situ images. The robustness and efficiency of the method has been established by comparing its performance with those obtained by manual analysis of the images. The method yields reasonably good estimates of particle length and is also fast enough to provide online measurements for the purpose of online optimization and control of a typical crystallization process.

The problem of two-dimensional heat flow in the stator of induction motor is solved by use of a finite element formulation and arch-shaped elements in the r-θ plane of the cylindrical co-ordinate system. The shape functions and exact solution matrices are derived algebraically for utmost economy in computation. The temperature distribution has been determined considering convection from the stator frame and cylindrical air-gap surface. Finally, the temperatures obtained by this two-dimensional approximation have been compared for different stator currents considering the time required for each stator current during the transient in star delta starting.

The determination of the optimal feed profiles for a reactive crystallizer is an important dynamic optimization problem, as the feed profiles offer a significant control over the quality of the product crystals. Crystallization processes typically have multiple performance objectives and optimization using different objective functions leads to significantly different optimal operating conditions. Therefore, a multiobjective approach is more appropriate for optimization of these processes. The potential for multiobjective optimization approach is demonstrated for semibatch reactive crystallization processes. The multiobjective approach usually gives rise to a set of optimal solutions, largely known as Pareto-optimal solutions. The Pareto-optimal solutions can help the designer visualize the trade-offs between different objectives, and select an appropriate operating condition for the process. A well known multiobjective evolutionary algorithm, the elitist nondominated sorting genetic algorithm, has been adapted to illustrate the potential for the multiobjective optimization approach. © 2007 American Institute of Chemical Engineers AIChE J, 2007

Lignocellulosic biomass is an attractive sustainable carbon source for fermentative production of bioethanol. In this context, use of microbial consortia consisting of substrate-selective microbes is advantageous as it eliminates the negative impacts of glucose catabolite repression. In this study, a detailed in silico analysis of bioethanol production from glucose-xylose mixtures of various compositions by coculture fermentation of xylose-selective Escherichia coli strain ZSC113 and glucose-selective wild-type Saccharomyces cerevisiae is presented. Dynamic flux balance models based on available genome-scale metabolic networks of the microorganisms have been used to analyze bioethanol production and the maximization of ethanol productivity is addressed by computing optimal aerobic-anaerobic switching times. A set of genetic engineering strategies for ethanol overproduction by E. coli strain ZSC113 have been evaluated for their efficiency in the context of batch coculture process. Finally, simulations are carried out to determine the pairs of genetically modified E. coli strain ZSC113 and S. cerevisiae that significantly enhance ethanol productivity in batch coculture fermentation.

General quantum correlations measures like quantum discord, one norm geometric quantum discord, exhibit freezing, sudden change, double sudden change behavior in their decay rates under different noisy channels. Therefore, one may attempt to investigate how the freezing behavior and other dynamical features are affected under application of local quantum operations. In this work, we demonstrate the effect of local filtering on the dynamical evolution of quantum correlations. We have found that using local filtering one may remove freezing depending upon the filtering parameter., Comment: 9 pages, 11 figures, revtex, comments welcome, to appear in qip

The optimization of a batch cooling crystallizer has been traditionally sought with respect to the cooling profile and seeding characteristics that keep supersaturation at an optimum level throughout the operation. Crystallization processes typically have multiple performance objectives and optimization using different objective functions leads to significantly different optimal operating conditions. Thus different temperature profiles and seeding characteristics impose a complex interplay on the crystallizer behavior and there is a trade-off between the performance objectives. Therefore, a multi-objective approach should be adopted for optimization of a batch crystallizer for best process operation. This study presents the solution of various optimal control problems for a seeded batch crystallizer within a multi-objective framework. A well known multi-objective evolutionary algorithm, the elitist Nondominated Sorting Genetic Algorithm, has been adapted here to illustrate the potential for the multi-objective optimization approach.

Incomparability of pure bipartite entangled states under deterministic LOCC is a very strange phenomena. We find two possible ways of getting our desired pure entangled state which is incomparable with the given input state, by collective LOCC with certainty. The first one is by providing some pure entanglement through the lower dimensional maximally-entangled states or using further less amount of entanglement and the next one is by collective operation on two pairs which are individually incomparable. It is quite surprising that we are able to achieve maximally entangled states of any Schmidt rank from a finite number of $2\times 2$ pure entangled states only by deterministic LOCC. We provide general theory for the case of $3\times3$ system of incomparable states by the above processes where incomparability seems to be the most hardest one., 15 pages, title changed, published version, some minor changes

An optimisation procedure based on genetic algorithm approach is developed for the determination of substrate feed profiles for the optimal operation of fed-batch bioreactors. The problem specific knowledge generated through the rigorous application of the optimal control theory is used to formulate the set of decision variables representing the qualitative and quantitative aspects of the feed rate profile. A customized genetic algorithm with suitable genetic operators is used for generating the optimal feed profiles. Even though the optimal control theory is not explicitly used, the feed rate policies thus evolved are shown to retain the characteristics of the profiles generated through the application of optimal control theory. The efficiency of the proposed algorithm is demonstrated with two fermentation processes: secreted protein and yeast cell mass production.

Construction of elevated corridor metro rail projects involves activities like piling works, pier construction, segment casting, segment transportation, segment erection with launching girder and pre-stressing operations for joining the segments which are risky in nature and need to be implemented very carefully. This paper is an attempt to develop a risk index for the elevated corridor for metro rail construction project in western India. The risk index is developed by application of fuzzy analytic hierarchy process (FAHP) to the quality parameters associated with the piling works, pier construction, segment casting, transportation and erection. This risk index would help the project authorities to identify the most risky activities and plan accordingly the suitable risk mitigation measures. This would help the project to be completed successfully within stipulated time and cost frame. The risk index developed would act as a guide for developing risk management strategies for the future metro rail construction projects.

Recently Bell-type inequalities were introduced in Phys. Rev. A \textbf{85}, 032119 (2012) to analyze the correlations emerging in an entanglement swapping scenario characterized by independence of the two sources shared between three parties. The corresponding scenario was referred to as \textit{bilocal} scenario. Here, we derive Bell-type inequalities in $n+1$ party scenario, i.e., in $n$-local scenario. Considering the two different cases with several number of inputs and outputs, we derive local and $n$-local bounds. The $n$-local inequality studied for two cases are proved to be tight. Replacing the sources by maximally entangled states for two binary inputs and two binary outputs and also for the fixed input and four outputs, we observe quantum violations of $n$-local bounds. But the resistance offered to noise cannot be increased as compared to the bilocal scenario. Thus increasing the number of parties in a linear fashion in source independent scenario does not contribute in lowering down the requirements of revealing quantumness in a network in contrast to the star configuration (Phys. Rev. A \textbf{90}, 062109 (2014)) of $n+1$ parties., 13 pages, 4 figures, revtex, comments welcome, to appear in qip

In this paper a two-dimensional transient thermal model of the rotor of an induction motor during star-delta starting is presented using finite element formulation and arch-shaped elements. Excepting for providing a more accurate representation of the problem, the proposed model can also reduce computing costs. A temperature-time method is employed to evaluate the distribution of loss in various parts of the machine. Using these loss distributions as an input for finite element analysis, more accurate temperature distributions can be obtained. The model is applied to one squirrel cage Totally Enclosed Fan Cooled (TEFC) Machine of 7.5 kW. The temperature distribution has been determined considering convection from the surface and the end.

The association between pulmonary interstitial fibrosis and the development of bronchogenic carcinoma in a patient with scleroderma has been reported rarely[1]. It is hypothesized that intense epithelial proliferation that is accompanied by the fi brotic process increases the occurrence of carcinomatous changes[2]. We report the case of a patient who presented with 3-year history of Raynaud’s phenomenon, gradual tightening of the skin which was ignored by the patient and her family members, and a 2-week history of severe respiratory distress with left shoulder and upper back pain followed by the development of paraparesis. After a series of examinations, the patient was diagnosed with scleroderma and simultaneously with bronchogenic carcinoma and multiple distant metastases.

In developing electric motors in general and induction motors in particular temperature limits are a key factor affecting the efficiency of the overall design. Since conventional loading of induction motors is often expensive, the estimation of temperature rise by tools of mathematical modeling becomes increasingly important. Excepting for providing a more accurate representation of the problem, the proposed model can also reduce computing costs. The paper develops a two-dimensional transient thermal model in rectangular co-ordinates using finite element formulation and triangular shaped elements. A temperature-time method is employed to evaluate the distribution of loss in various parts of the machine. Using these loss distributions as an input for finite element analysis, more accurate temperature distributions can be obtained. The model is applied to the rotor of one squirrel cage TEFC machine of 7.5 kW during star-delta starting. The temperature distribution has been determined considering convection from the outer air gap surface.

For any given entangled state of three spin - 1 2 particles, Hardy's nonlocality is algebraically proved choosing a pair of observables corresponding to each particle. Surprisingly it has been found that any maximally entangled state of three spin - 1 2 particles shows Hardy's nonlocality with a maximum probability of 12.5%, which is higher than the maximum probability for two spin - 1 2 particles.

The problem of two-dimensional transient heat flow in the stator of induction motor is solved by use of a finite element formulation and arch-shaped elements in the r-θ plane of the cylindrical co-ordinate system. The shape functions and exact solution matrices are derived algebraically for utmost economy in computation. The temperature distribution has been determined considering convection from the stator frame and cylindrical airgap surface. Finally the temperatures obtained by this two dimensional approximation have been compared for different stator currents considering the time required for each stator current during the transient.

In this paper we introduce the notion of fuzzy ideal in fuzzy set theory. The concept of fuzzy local function is also introduced here by utilizing the q-neighbourhood structure for a fuzzy topological space. These concepts are discussed with a view to find new fuzzy topologies from the original one. The basic structure, especially a basis for such generated fuzzy topologies and several relations between different fuzzy ideals and fuzzy topologies are also studied here. Finally, the notion of compatibility of fuzzy ideals with fuzzy topologies, are introduced and some equivalent conditions concerning this are established here.

In this paper the problem of two-dimensional steady state heat flow in an induction motor is solved using finite-element formulation and employing simple triangular elements in the xy plane of the rectangular co-ordinate system. The shape functions and exact solution matrices are derived algebraically for utmost economy in computation. The global system of equations is determined by a suitable algorithm to avoid repeated calculations of the elemental stiffness matrix. The temperature distribution has been computed considering convection form the outer boundary surfaces of the machine.

Violation of Bell inequality (or, Bell-type inequalities) by nonlocal correlations is justified by relaxation of at least one of the plausible physical constraints used to model such inequality. Based on this fact, in this letter we present a procedure to simulate three-qubit GHZ correlation relaxing two constraints, determinism and no signaling simultaneously. We have also derived the minimum amount of indeterminism and signaling to be introduced in a system. The corresponding number of signaling and local bits of mutual information needed to communicate are also provided and thus we are able to focus on utility of relaxation of these two constraints as useful resources.

Local quantum uncertainty (in short LQU) was introduced by Girolami et. al.(Phy. Rev. Lett. \textbf{110}, 240402) as a measure of quantum uncertainty in a quantum state as achievable on single local measurement. However, such quantity do satisfy all necessary criteria to serve as measure of discord like quantum correlation and it has no closed formula except only for $2\otimes n$ system. Here, we consider orthogonal invariant class of states which includes both the Werner and Isotropic class of states and explore the possibility of closed form formula. Further, we extend our quest to the possibility of closed form of geometric discord and measurement induced nonlocality for this class. We also provide a comparative study of the bounds of general quantum correlations with entanglement, as measured by negativity, for an interesting subclass of states., 13 pages, 5 figures, revtex, revised version, comments welcome

An adaptive optimization algorithm using backpropogation neural network model for dynamic identification is developed. The algorithm is applied to maximize the cellular productivity of a continuous culture of baker's yeast. The robustness of the algorithm is demonstrated in determining and maintaining the optimal dilution rate of the continuous bioreactor in presence of disturbances in environmental conditions and microbial culture characteristics. The simulation results show that a significant reduction in time required to reach optimal operating levels can be achieved using neural network model compared with the traditional dynamic linear input-output model. The extension of the algorithm for multivariable adaptive optimization of continuous bioreactor is briefly discussed.

In this paper a two-dimensional transient thermal model of the rotor of an induction motor during reactor starting is presented using finite element formulation and arch-shaped elements. Excepting for providing a more accurate representation of the problem, the proposed model can also reduce computing costs. A temperature-time method is employed to evaluate the distribution of loss in various parts of the machine. Using these loss distributions as an input for finite element analysis, more accurate temperature distributions can be obtained. The model is applied to one squirrel cage TEFC machine of seven and half kW. The temperature distribution has been determined considering convection from the surface and the end.

Entanglement is one of the most useful resources in quantum information processing. It is effectively the quantum correlation between different subsystems of a composite system. Mathematically, one of the most hard tasks in quantum mechanics is to quantify entanglement. However, progress in this field is remarkable but not complete yet. There are many things to do with quantification of entanglement. In this review, we will discuss some of the important measures of bipartite entanglement.

Measurement-Induced NonLocality was introduced by Luo and Fu (Phys. Rev. Lett. \textbf{106}, 120401,(2011)) as a measure of nonlocality in a bipartite state. In this paper we will discuss monogamy property of measurement-induced nonlocality for some three- and four-qubit classes of states. Unlike discord, we find quite surprising results in this situation. Both the GHZ and W states satisfy monogamy relations in the three-qubit case, however, in general there are violations of monogamy relations in both the GHZ-class and W-class states. In case of four-qubit system, monogamy holds for most of the states in the generic class. Four qubit GHZ does not satisfy monogamy relation, but W-state does. We provide several numerical results including counterexamples regarding monogamy nature of measurement induced nonlocality. We will also extend our results of generalized W-class to n-qubit., 7 pages, 1 figure, pdflatex

The problem of two-dimensional steady-state heat flow in the stator of an induction motor is solved using finite element formulation and using arch shaped elements in the theta plane of the cylindrical coordinate system. The shape functions and exact solution matrices are derived algebraically for utmost economy in computation. The temperature distribution has been determined considering convection from the stator frame and the cylindrical air-gap surface. The temperatures obtained by this two-dimensional approximation are compared with the actual temperatures obtained by three-dimensional analysis. >

The problem of three-dimensional transient heat flow in the stators of induction motors is solved using a finite-element formulation employing arch-shaped elements. The shape functions and exact solutions are derived algebraically for the utmost economy in computation. The temperature distribution has been determined considering convection from the surface and the two ends. The temperature distribution has also been determined by specifying the temperature of the surface and the ends. A simple cylinder is used as an example. The temperature at different locations in the stator of the induction motor has been computed during transients. >

The modeling of the transient behavior of the crystal size distribution is essential to predict and effectively control the quality of the end product. The population balance approach provides an appropriate mathematical framework for the modeling of crystal size. For most batch crystallization processes, it is often difficult to obtain on-line relevant information about the crystal size distribution and the dissolved solid concentration in the liquid phase. We have recently developed an automated image analysis strategy that yields real-time measurements of both particle length and width with acceptable accuracy. In this contribution, we present an approach for validation of a population balance model for batch crystallization of monosodium glutamate by using on-line information about the state of the crystallization process provided by our image analysis strategy and other in-situ process analytical tools such ATR-FTIR.

In this paper we explore the non-monotonic nature of entanglement of formation with respect to concurrence for pure bipartite states. For pure bipartite system, one of the basic physical reason of this non-monotonicity character is due to the existence of incomparable states, i.e., the pure bipartite states which are not convertible to each other by LOCC with certainty., 4 pages, 1 figure, revtex

In this letter we have established the physical character of pure bipartite states with the same amount of entanglement in the same Schmidt rank that either they are local unitarily connected or they are incomparable. There exist infinite number of deterministically locally inequivalent classes of pure bipartite states in the same Schmidt rank (starting from three) having same amount of entanglement. Further, if there exists incomparable states with same entanglement in higher Schmidt ranks (greater than three), then they should differ in at least three Schmidt coefficients., Comment: 4 pages, revtex4, no figure, accepted in Physical Review A (rapid communications)

In this letter we prove local indistinguishability of four orthogonal activable bound entangled states shared among even number of parties. All reduced density matrices of such states are maximally mixed. We further proceed to establish a multipartite quantum data hiding scheme on those states and explore its power and limitations., 10 pages, no figure, latex, final version

Most chemical processes are operated under continuously changing conditions and thus the optimal operating conditions change with time. On-line optimization techniques of various types which are used to track these kinds of moving optimum, have sparked significant interest in recent years. A multi-variable, adaptive, fuzzy logic based approach is presented here for real-time optimization of nonlinear dynamic chemical processes. The approach is model-free and utilizes only the online plant measurements and a set of properly formulated fuzzy rules to keep the process always at optimum conditions despite changes in environmental conditions. Both simulation and experimental studies point to the efficiency of the approach. The algorithm yields reasonably fast convergence and a robust performance against noisy and inaccurate signals.

According to the studies of genuine tripartite nonlocality in discrete variable quantum systems conducted so far, Svetlichny inequality is considered as the best Bell-type inequality to detect genuine (three way) nonlocality of pure tripartite genuine entangled states. In the present work, we have considered another Bell-type inequality (which has been reported as the $99$-th facet of $NS_2$ local polytope in (J.-D. Bancal, et.al.,Phys. Rev.A \textbf{88}, 014102 (2013)), to reveal genuine tripartite nonlocality of generalized GHZ(Greenberger-Horne-Zeilinger) class and a subclass of extended GHZ class states(\cite{ACN}) thereby proving the conjecture given by Bancal, et.al.\cite{BAL} for the GGHZ class and the subclass of extended GHZ states. We compare the violation of this inequality with Svetlichny inequality which reveals the efficiency of the former inequality over the latter to demonstrate genuine nonlocality using the above classes of quantum states. Even in some cases discord monogamy score can be used as a better measure of quantum correlation over Svetlichny inequality for those classes of pure states. Besides, the $99$-th facet inequality is found efficient not only for revealing genuine nonlocal behavior of correlations emerging in systems using pure entangled states but also in some cases of mixed entangled states over Svetlichny inequality and some well known measures of entanglement ., 16 pages, 11 figures, 2 tables, revtex, comments welcome, to appear in J.Phys. A

Induction machines transient thermal analysis has been a subject of interest for machine designers in their effort to improve machine reliability. The stator being static is prone to high temperature and the study of transient thermal behaviour in the stator is useful to identify causes of failure in induction machines. The paper presents a two-dimensional transient heat flow in the stator of an induction motor using arch shaped elements in the r-thetas plane of the cylindrical co-ordinate system. The model is applied to one squirrel cage TEFC machine of 7.5 kW. Finally the temperatures obtained by this two-dimensional approximation have been compared for different stator currents considering the time required for each stator current during the transient in star delta starting.

A two-dimensional finite element solution of the heat conduction problem is described. The shape functions and exact solution matrices are derived algebraically for utmost economy in computation. The method of application to the transient heat flow problem in the stator of an induction motor during plugging condition is indicated.

We present here a scheme that relates seemingly two different kinds of physical impossibilities of quantum information processing. We derive, exact flipping of three arbitrary states not lying in one great circle is not possible with certainty, by using the existence of incomparable states which are not interconvertible deterministically by local operations and classical communications. In contrast, considering the non-existence of exact universal flipper, the incomparability of a pair of bipartite pure entangled states can be established., Comment: 9 pages, no figures, replaced with accepted version, Phys. Rev. A

In this work we show that the most general class of anti-unitary operators are nonphysical in nature through the existence of incomparable pure bipartite entangled states. It is also shown that a large class of inner-product-preserving operations defined only on the three qubits having spin-directions along x, y and z are impossible. If we perform such an operation locally on a particular pure bipartite state then it will exactly transform to another pure bipartite state that is incomparable with the original one. As subcases of the above results we find the nonphysical nature of universal exact flipping operation and existence of universal Hadamard gate. Beyond the information conservation in terms of entanglement, this work shows how an impossible local operation evolve with the joint system in a nonphysical way., Comment: 13 pages, Latex, to appear in Quantum Information and Computation

No-Cloning and No-Deleting theorems are verified with the constraint on local state transformations via the existence of incomparable states. Assuming the existence of exact cloning or deleting operation defined on a minimum number of two arbitrary states, an incomparable pair of states of the joint system between two parties can be made to compare under deterministic LOCC. We have restricted our proof with the assumption that the machine states of the cloning or deleting operations do not keep any information about the input states. We use the same setting to establish the no-cloning and no-deleting theorems via incomparability that supports the reciprocity of the two operations in their operational senses. The work associates the impossibility of operations with the evolution of an entangled system by LOCC., Comment: 4 pages, no figures, revtex format, accepted in Quantum Information Processing

A three dimensional finite element solution of the heat conduction problem is described. The shape functions and exact solution matrices are derived algebrically for utmost economy in computation. The method of application to the heat flow problem first to a simple cylinder and then to the stator of an induction motor is indicated.