Newcastle upon Tyne, 20–21 May 1974

This meeting was envisaged by the organisers as the first of a continuing series of short, informal conferences within the general area of applied stochastic processes. The twenty-seven participants were drawn mostly from statistics and mathematics departments of British Universities, but also included a small number of biologists and geographers. The meeting was notable for its pleasantly informal atmosphere, and the consequent lively interchange of ideas, although for future meetings in the series a better balance between statisticians and applied scientists should, we feel, be effected.

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Markov Stochastic Processes in Biology and Mathematics -- the Same, and yet Different

JOURNAL OF ADVANCES IN MATHEMATICS ◽

10.24297/jam.v14i1.7202 ◽

2018 ◽

Vol 14 (1) ◽

pp. 7540-7559

Author(s):

MI lOS lAWA SOKO

Keyword(s):

Stochastic Process ◽

Stochastic Processes ◽

Discrete Time ◽

Stochastic Matrix ◽

Random Number Generator ◽

Point Of View ◽

State Transitions ◽

Similar Principle ◽

Probabilistic Space ◽

And Mathematics

Virtually every biological model utilising a random number generator is a Markov stochastic process. Numerical simulations of such processes are performed using stochastic or intensity matrices or kernels. Biologists, however, define stochastic processes in a slightly different way to how mathematicians typically do. A discrete-time discrete-value stochastic process may be defined by a function p : X0 Ã— X â†’ {f : Î¥ â†’ [0, 1]}, where X is a set of states, X0 is a bounded subset of X, Î¥ is a subset of integers (here associated with discrete time), where the function p satisfies 0 < p(x, y)(t) < 1 and EY p(x, y)(t) = 1. This definition generalizes a stochastic matrix. Although X0 is bounded, X may include every possible state and is often infinite. By interrupting the process whenever the state transitions into the X âˆ’X0 set, Markov stochastic processes defined this way may have non-quadratic stochastic matrices. Similar principle applies to intensity matrices, stochastic and intensity kernels resulting from considering many biological models as Markov stochastic processes. Class of such processes has important properties when considered from a point of view of theoretical mathematics. In particular, every process from this class may be simulated (hence they all exist in a physical sense) and has a well-defined probabilistic space associated with it.

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Computing and Mathematics Departments - The Years Ahead

American Mathematical Monthly ◽

10.1080/00029890.1975.11993774 ◽

1975 ◽

Vol 82 (1) ◽

pp. 64-72

Author(s):

Ronald Harrop

Keyword(s):

Mathematics Departments ◽

And Mathematics

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Systems in Nonmathematical Disciplines

Mathematics Teacher ◽

10.5951/mt.62.3.0171 ◽

1969 ◽

Vol 62 (3) ◽

pp. 171-177

Author(s):

Louise G. White ◽

Virginia H. Baker

Keyword(s):

High School ◽

High School Students ◽

Explicit Instruction ◽

Logical Reasoning ◽

School Students ◽

English History ◽

Mathematics Departments ◽

Mathematical System ◽

And Mathematics

HIGH school students “know,” because they have been told so often, that mathematics will help them to think logically; but they do not see how to apply this training to other subjects. Concerned about this inability to correlate mathematics with other disciplines, teachers representiog the English, history, and mathematics departments at Laurel School instituted a course in 1965 designed to emphasize the universality of the principles of logical reasoning learned in mathematics. This program is predicated on the premise that it is as important to be aware of the structure of the system (definitions, assumptions, functions, and relations) requisite to the presentation of an unambiguous argument in nonscience areas as it is to be aware of the structure of the mathematical system in which a theorem is to be proved or a computation performed; further, most students need explicit instruction in the application of this concept to areas other than mathematics.

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Providing Disciplines of Mathematical Cycle for Economics and Management with a Foreign Language Support

Standards and Monitoring in Education ◽

10.12737/12370 ◽

2016 ◽

Vol 4 (3) ◽

pp. 52-56 ◽

Cited By ~ 1

Author(s):

�� ◽

Galina Dubinina

Keyword(s):

Foreign Language ◽

Interdisciplinary Approach ◽

Case Analysis ◽

Foreign Languages ◽

Professional Activity ◽

Language Support ◽

Mathematics Departments ◽

And Mathematics

The article presents arguments in favour of an interdisciplinary approach to training at a non-linguistic university, namely, the importance of English language support for teaching mathematical disciplines. The authors consider the interaction between �Foreign languages� and �Mathematics� departments in case analysis and preparing students for Case-Championships. The authors describe techniques of implementing a foreign language professionalization through quasi-professional activity.

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