The implication is that the corresponding problem in principle has multiple solutions that satisfy the necessary optimality conditions.
The shear behavior of FRP strengthened reinforced concrete (FRP strengthened RC) membrane elements can be predicted by developing logical models that satisfy the principles of mechanics of materials namely stress equilibrium, strain compatibility, and constitutive relationships of concrete, steel and, FRP reinforcements.
In its statement that every mapping (T Xrightarrow X) has a unique fixed point in the setting of nonempty complete metric spaces (X, d), the principle is restricted to mappings that satisfy a contraction given by (d(Tx,Ty le, q, d x,y)) where (qin (0,1)) and (x,yin X).
Whenever there is the possibility to collect things into a set via a consistent comprehension principle, we take there to be a set of those things that satisfy the comprehension principle.
Although James insists that there is no common essence to morality, he does find a guiding principle for ethical philosophy in the principle that we "satisfy at all times as many demands as we can" (WB, 205).
This can be formulated as a theorem: THEOREM (dominance): For any tissue with two or more cell lineages, where the capacities of each cell lineage are related to three or more tissue fates, the only cross-level principle (lineage-tissue mapping) that satisfies the conditions of unanimity, regularity, independence of irrelevant fates, and consistency is the dominance relationship.
But then why should Parmenides have bothered to present a fundamentally flawed or "near-correct" cosmology, founded upon principles that fail to satisfy the very requirements he himself has supposedly specified?
We present a robust computational framework for advective diffusive reactive systems that satisfies maximum principles, the non-negative constraint, and element-wise species balance property.
Through quantitative analysis that satisfies the principles of electroneutrality, dissociation equilibria and conservation of mass, this approach argues that determination of [H+] depends on three independent variables: the SID, the partial pressure of carbon dioxide, and the total weak acid concentration.
The proposed method discretizes the anisotropic elastic wave equation in second order formulation, using a node centered finite difference method that satisfies the principle of summation by parts.
