The MPMS method, based on mathematical and physical backgrounds, uses slope analysis of counter-current spontaneous imbibition (COUCSI) recovery data.
Despite the fact that most of these techniques have numerically proven themselves as reliable and strong tools for solutions of design optimization problems in many different disciplines, some argue against these methods on account of not having mathematical background and making use of irrelevant and odd metaphors.
For example, constructing discrete models of biological networks requires only a modest amount of mathematical background and could be used as an introduction to mathematical modeling for students in the life sciences at an early point in their education.
Section 2 covers all mathematical background needed for our proposed watermarking technique using NPT.
The presentation spans mathematical background, software design and the use of FEniCS in applications.
A brief theoretical and mathematical background is given for this method of shock abatement, using the current Berkeley jet array experiment as a representative geometry.
In this paper, we provide the necessary mathematical background for the OSM setting which was introduced and used previously [ 4, 19], but had not been analyzed mathematically for more than two character states.
For this we require a modest mathematical background: calculus, elementary probability, and a minimal use of matrix-vector algebra.
For, if such is the case, the latter geometry can easily be replaced by a discrete version in any physical theory that makes use of this particular mathematical background.
For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling.
