# Markov chain

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Goffman (1971) explains the spread of ideas within a scientific community to be strikingly similar to the spread of infectious diseases and considers both these process to be special cases of a general communication process. An epidemic model using Markov chains was used to explain the spread of and to predict the rise and fall of research areas within a community. Markov property : A discrete time Markov chain is a stochastic process {Xn } with finite state space S that satisfies the Markov property: P( Xn=xn ∣X0=x0 ,…, Xn−1=xn−1 )=P(Xn=xn ∣ Xn−1=xn−1) for all x0 ,…, xn∈S and n⩾1. The next step of a Markov chain is independent of the past and only depends upon the most recent state. Transition probabilities: Pij are the Markov chains…

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outbreaks remain a serious public health risk in areas where recurrent outbreaks have been observed for a long time. Therefore, it is crucial to evaluate the effectiveness of the control intervention of diseases using mathematical modelling, especially for those such as Ebola virus for which no specific treatment or vaccine exists. Researchers have studied and applied numerous models and algorithms for the different types of disease outbreaks. One of the models that is widely used in the…

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A The Last Police Man _____________________ B A Lovely Sense of Lower Purpose Soldier’s Home The First Day _____________________ C Civil War Land in Bad Decline The Road _____________________ D Hell for This _____________________ F I Found the Shell Include Soldiers Home: This short story by Ernest Hemmingway is a recommended addition to the magazine because it successfully addresses issues with attempting to re-enter into one’s old life. This work focuses particularly on a Soldier who…

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As we model this Markov process, we observe the state-dependent output, yet initially we are not able to note any of the states. Each state has a unique probability distribution over each possible output. Thus, information about the sequence of states through which the model makes its way can be obtained from the sequence of outputs generated, while the rest of the model remains hidden. The algorithm tracks a stochastic process through its states by using a recursive method that is optimal in…

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Under the circumstance where there is a chain of nodes, the link situated in the beginning of the chain will be the “ancestor” while the one that appears later is a “descendant”. An additional principal is the Markov blanket of a node that involves the family of a node – its parents, its children and the step parents of the children [9], outlined in Figure 3. The system demonstrated using the Bayesian network approach has a hierarchical topology. The node labelled A is the node of interest,…

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was littered with boxes. The room had an awful scent of cigarette smoke, alcohol, and rotten food. As I took in my surroundings, I noticed a chain which connected to the bed. To my horror, I discovered that the chain was also connected to my ankle. I quickly attempted to pry the chain off of my ankle, but quickly stopped when I heard a man’s voice tell me it wouldn 't work. That was when I realized a strange but yet familiar man was sitting across from me holding a knife and smoking a…

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The quote “Man is born free, and everywhere he is in chains” (Rousseau) doesn’t hold the same meaning it did when Rousseau originally wrote it, but it can still be applied to many facet’s in today’s life. Rousseau’s quote can be applied to many areas in our everyday lives, such as government restrictions, work, and social acceptance and norms. Every day in many aspects we face restrictions that stop us from doing something we may desire to do, but cannot because of regulations against it. Every…

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A teapot with the detailing of a realistic looking heart with chain links wrapped tightly around the heart is called “Heart Teapot: Petrol Hostage,” and it is one of many teapots in the Yixing Series by American ceramist, Richard Notkin, in 2013 (Pentilla, 2014). Notkin’s ceramic heart teapot is a relatively small teapot (6.5” x 11.25” x 5.75”) made from stoneware with a matte glaze that appears to have a rusted color that covers the entire teapot. The abstract teapot was designed to look like a…

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A general description of the area with reasons why the field study is being conducted. Geological overview Bicentennial Park which is located on the shoreline of Home bush Bay is a natural heritage site which features a vital wetland ecosystem and a large area of parkland colonized by a vast range flora and fauna. Within the park there are four communities of vegetation which are: Coastal Saltmarsh – a type of marsh that is intertidal between land and salty water,…

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The Best Tasting Burger in America Waiting in line is definitely worth the wait. The Habit Burger Grill is a fast food chain restaurant focused on serving the best hamburgers, sandwiches, salads, french fries, and milkshakes in the States. The PR Newswire reports, “The Habit whose motto is "Respect the Burger," was founded in 1969 in Santa Barbara” (PR Newswire, 2014) and is headquartered in Irvine, California. The expansion of the chain includes 109 locations. The Habit is a great place for…

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