Consider then the graph of (gamma ), ( Gamma _{gamma } subset C times C), and intersect it with the diagonal (Delta subset C times C): their intersection number must be a nonnegative integer, because intersection points of complex subvarieties carry always a positive local intersection multiplicity.
Motivated by [8], by introducing height functions of the nonlinear term on some bounded sets, we considered the local existence and multiplicity of positive solutions for BVP (A) with infinite-point boundary value conditions in [9].
By introducing height functions of the nonlinear term on some bounded sets and considering integrations of these height functions, several local existence and multiplicity of positive solutions theorems were obtained.
The problem of constructing the steady-state solutions of the global (in the physical space) system, when local steady-state multiplicity is possible, repeats itself on various scales in heterogeneous catalytic reactors.
These evaluations of single interventions or programmes do not meet the requirements of the IQuESTS project for a framework to examine, within a local community, the multiplicity of people's care pathways through the whole system and to estimate the likely impacts on costs and outcomes of changes to that system.
We show that the presence of capital is indeed another independent source of local and global multiplicities, even under active policies that yield local determinacy.
Or, as modern scholarship would have it, was it a critical jab at Babylonian city dwellers by Israelite country folk, plus a kind of "just-so" story to explain the multiplicity of local languages?
Local microcultures express the multiplicity of goals, expectations, assumptions, and beliefs that are negotiated (mostly without realising it) in day-to-day business between managers, clinicians, patients and others.
This multiplicity of local laws prompted the California Grocers Associationn, which counts retailers like Safeway, Trader Joe's, Costco, Whole Foods and 7-Eleven among its members, to seek the kind of uniformity the Brownley bill offered.
