A comic, contemplative dynamism, a gratuity, a movement from play to play, a definitiveness that responds to some deep need, a religious need, a sense of meaning that is at once final and provisional: a substratum of dependable regularity, continuity, and an ever renewed variety, openness to new possibilities, new chances.
What constitutes a "good" configuration, or a poor one, is unfortunately not clearly specified, though several properties of good configurations can be listed, chief among them being simplicity, stability, regularity, symmetry, continuity, and unity.
The aim is to weaken assumptions on coefficients (A_{i}^{alpha}) with Hölder continuity in the variables ((xi,u)) to the assumptions of Dini continuity, and to show a partial regularity result with optimal estimates for the modulus of continuity for the horizontal derivative Xu; see [1, 2] for the case of sub-elliptic systems with Hölder continuous coefficients.
Yet the notion of social structure is not easy to dispense with, because it expresses ideas of continuity, regularity, and interrelatedness in social life.
Hence the existence and regularity of a unique solution of the linearized continuity Equation (8 1 have been well-known.
The existence and regularity of the unique solution w can be proved by applying classical methods, for instance, the method of continuity (see [29]).
In order to apply this theory to understand the responses and bifurcation patterns of forced systems, it is fundamental to determine the regions in parameter space where the different regularity properties (e.g., continuity and injectivity) of the firing maps are satisfied.
"Two words: explosive and regularity".
Hierarchies add structure and regularity to our lives.
