The random nature of a lightning stroke composed of proper discrete-event simulation of a stroke via its peak current, front time and tail time and accurate mathematical representation of such lightning stroke in a transient analyzer.
Combining operational thinking with the more manageable forms of mathematical representation, programs, such as i-think software have made it practical to get a grasp of the increasingly relevant phenomena of multi loop nonlinear feedback systems.
The mathematical representation of such trend can be expressed in logarithmic profile as: u_{text{s}} = frac{{u_{t} ln (n)}}{N} (3)where ( u_{text{s}} ) is the step radial displacement, n is the step number, and N is the total number of steps.
We advocate that, when such mathematical representations of processes underlying a disease or disorder are available, they can be an important tool for suggesting adaptive treatment strategies for clinical study.
Knowledge of underlying physics and its mathematical representation (Chapters 2 to 5), of numerical methods to solve such mathematical representations (Chapters 6 and 7) and of computational tools to implement these numerical methods (this chapter), equip the reader to harness the potential of computational flow modeling for reactor engineering.
The simplification of mathematical modeling using power-law representations, such as saturable and synergistic (S -system or generalized maS -system (GMA)-system representatiors in the framework of biochemical systems theory (BST) (Savageneralized b, 1970; Shiraishi and Savageau 1992; Voit 2013), probably has the potential to overcomasshe actionproblems.
They include mathematical representations of the physiological processes involved, such as photosynthesis, respiration, or nutrient uptake.
Within ecology the use of GIS-based models is the analog of visual modeling in other sciences.[98] It is no longer controversial that visual representation, at least as a heuristic, offers resources for scientific innovation not offered by purely linear representations (such as linguistic or mathematical representations).
Now, smooth coordinate changes applied to such a description will generate distinct mathematical representations of that Humean mosaic, given using distinct coordinatizations of the field-stuff.
New challenges posed by advances in aerospace technologies, such as fly-by-wire flight control, large flexible airframes and flight simulation, have led to increasingly complex mathematical representations of pilot behaviour.
