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The core equations of the model are shown below.
After deriving the core equations of the model we will discuss two specific applications of the model; an inference of the replication origin and terminus and an analysis of mutational contribution to skew.
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On the basis of continuities of the displacements and transverse stresses at the interfaces of the face sheets and the core, equations of motion are obtained by using Hamilton's principle.
The philosophy underlying COINS is to separate computer code that is shared across different models, such as common process descriptions, or shared data input and output routines, from the core equations of each model.
This combination of the falling economic costs of action and the rising political costs of inaction was already changing the core equation of which the fossil fuel industries have counted for comfort.
The core system of equations of the model is available in the "Appendix".
The real importance of Thomas Piketty's blockbuster, Capital in the 21st Century, is that it demonstrates, in excruciating detail (and this remains true despite some predictable petty squabbling) that, in the case of at least one core equation, the numbers simply don't add up.
For further results on existence of positive and dead core solutions to differential equations of the types and, we refer the reader to [5 9].
Using the perturbation series in (2.10), (2.11) and then equating the constant terms and terms, the differential equations of the core region become (2.19).
The functional forms of the main groups of equations of the ICGE core are presented in this Appendix together with the definition of the main groups of variables, parameters and coefficients.
In this appendix, we show the computational details of the core equation in Equation 7.
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