He believes that the mathematical structures of the infinitely large or small, a priori, have no physical meaning at all; they are preliminary tools to approximate finite physical reality.
In general, the design process of a tall building involves conceptual design and approximate analysis, preliminary design, and finally detailed design (Jayachandran 2009).
Although preliminary tests on general approximate models showed promise, it was observed that grouping products to create specialized learning surrogate LCA models for different classes of products might further improve results.
Despite the obvious oversimplification, a preliminary analysis suggests an approximate fit between the predicted and observed data.
A preliminary finishing effort closed approximate 10% of the remaining genome gaps, some of which contained important regions, such as ITS and complete mitochondrial DNA.
At least, we were able to approximate a preliminary sequence logo shown in the center of Figure 1, which is not significant under conventional logos methodology but is sufficiently informative to visualize the major consensus sequence (in the words of George P. Box quoted by Schneider [ 26] – "all models are wrong, but some are useful").
By simple algebraic means, the method yields solutions in cases for which sophisticated computing facilities would otherwise be necessary and provides the means for checking complicated computer outputs as well as approximate results for preliminary design purposes.
Preliminary simulations showed that an approximate mutation-drift balance was reached before 400 generations (result not shown).
This was a preliminary analysis to gauge the approximate number of markers that would be required and, consequently, the self-assignment test was used as it is straightforward to implement.
A preliminary step then consists in approximating the model dynamics as a difference equation system, e.g. by standard numerical integration methods as Euler or Runge-Kutta discretizations.
