Previous studies have suggested (without rigorous analyses) the existence of some PSD protein orthologues in the Monosiga genome [ 2], but these have been considered "very few"[ 10], supporting the idea that the PSD scaffold is essentially an innovation of the metazoan lineage.
But for years scientists have reserved judgment because no rigorous test confirmed its existence.
The study presents a rigorous mathematical demonstration of existence and uniqueness of the solution of well-posed dynamic elastoplasticity problems.
This article evaluates the sustainability of a cement industry by using one of the most rigorous tools currently in existence – the Composed Method of Financial Accounts (MC3) in its second version V.2.0.
This suggests that Leibniz is not trying to provide a fully rigorous argument for the existence of simple substances or a full explanation of the relation between monads and bodies in the Monadologie or the Principes de la Nature et de la Grace.
There are only few rigorous results on global existence and qualitative behavior of solutions to the following fluid-free subcase of system (1.1): left { textstylebegin{array}{l} n_{t}=Delta n-nablacdot(frac{n}{c}nabla c),quad xinOmega, t>0, c_{t}=Delta c-nc, quad xinOmega, t>0, end{array}displaystyle right.
Later in 1999, Paullet[2] provided a rigorous result concerning the existence, uniqueness and qualitative properties of the solutions of Equations 1 and 2 for any α > 0 and H2 ≠ 0. Paullet's solution[2] for α << 1 matches with that of Mckee et al.[1], but there was a difference between the solutions of Paullet and Mckee for α >> 1.
To answer these questions, it would seem that I need rigorous philosophical arguments for my existence and the existence of other thinking humans.
"I paint with my back to the world," she declared, and what she wanted to catch in her rigorous nets was not material existence, the Earth and its myriad forms, but rather the abstract glories of being: joy, beauty, innocence; happiness itself.
