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We present here a succinct account of the finite-temperature generalisation of the coupled cluster (CC) method. It requires the concept of thermal normal ordered products whose Boltzmann trace is zero. The basic idea is to express the Boltzmann operator as a normal ordered exponential containing cluster operators and a number, and express the free energy as a logarithm of a suitable Boltzmann trace, where only the number part in the ordered exponential survives. The free energy is manifestly extensive. Free energies of Lipkin model and anharmonic oscillators obtained from the grand partition function are discussed as example applications.

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An opinion is a viewpoint or judgment about a specific thing that acts as a key influence on an individual process of decision making. People's belief and the choices they make are always dependent on how others see and evaluate the world. So opinion holds high values in many aspect of life. Sentiment analysis is the process of determining opinions or sentiments in textual documents as positive, or negative. In recent years, this field is widely appreciated by researchers due to its dynamic range of application in various numbers of fields. There are several areas such as marketing; politics; news analytics etc. which are benefited from the result of sentiment analysis. Due to the vast range of movies these days, it has become difficult for the audience to select their preferred genre of movie. Movie reviews turn out to be very useful

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The dynamics of worm propagation in the Wireless Sensor Networks (WSNs) is one of the fundamental challenge due to critical operational constraints. In this paper we propose a modified Susceptible-Infectious-Quarantined-Recovered-Susceptible (SIQRS) model based on epidemic theory. The proposed model demonstrate the effect of quarantined state on worms propagation in WSNs. This model incorporates communication radius, area of communication and the associated node density. The spreading dynamics of worms defined with the help of Basic Reproduction Number (R 0) and if R 0 is less than or equal to one the worm-free equilibrium is globally asymptotically stable, and if R 0 is greater than one the worm will persists in the system. This model formulated by differential equations and explain the process of worm propagation in WSNs. We also study the effect of different parameters on the performance of system. Finally, the control mechanism and performance of the proposed model is validated through extensive simulation results.