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By A.V. Gheorghe

'Et moi ... si j'avait su remark en revenir. One provider arithmetic has rendered the je n'y serais aspect aile: human race. It has placed good judgment again the place it belongs. at the topmost shelf subsequent Jules Verne (0 the dusty canister labelled 'discarded non sense'. The sequence is divergent; hence we are able to do whatever with it. Eric T. Bell O. Heaviside arithmetic is a device for idea. A hugely worthy device in a global the place either suggestions and non linearities abound. equally, all types of elements of arithmetic function instruments for different components and for different sciences. utilising an easy rewriting rule to the quote at the correct above one unearths such statements as: 'One carrier topology has rendered mathematical physics .. .'; 'One provider good judgment has rendered com puter technology .. .'; 'One provider type thought has rendered arithmetic .. .'. All arguably precise. And all statements accessible this manner shape a part of the raison d'etre of this sequence.

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States of illness of a patient with an arbitrarily chosen disease. 2). For each test, one outcome is probable if the patient is in the advanced state. 2 we can also identify the matrices of transition probabilities in different alternatives k, k = 1, 2, 3, 4, 5. e. no treatment). 33 that the patient will die. 47 [20]. Very often it is not possible to solve a medical diagnosis problem by considering the system (a patient) as a completely observable one. Tests performed to obtain additional infomation concerning the state of the patient give the Markov process the character of a partially observable process.

In many practical cases the observer does not have the possibility of directly observing the dynamic performance of the system. This is the case with the technological equipment of nuclear power stations, the problems of medical diagnoses and clinical treatment and political systems which are only partially observable. g. distinct observations on the operational perfomance of the system). A well known example, in the literature, of a partially observable process, is that determined by the state of illness of a patient (see Smallwood et al.

4. f(t - 't) ('t > 0) 1 1 e-SfT(s) 5. f(t + 't) ('t < 0) e-ST [f(s) - 6. 7. 8. e-at te-at (s + a)-l 1/(s + a)2 1/(s + a)3 9. M(t) - matrix function 10. 11. l... 1(b). 1. TRANSIENT PROCESSES A finite Markov chain cannot have all non-recurrent (transient) states; it follows that at least one state is recurrent. g. transient), it is called recurrent. A recurrent chain whose states form a single class is called irreducible or ergodic. If the chain has recurrent states, it is called absorbant. An absorbant chain with only one aperiodic recurrent class is called non-decomposible.

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