Circulation Counting

Use of external counting technics in studies of the circulation.

• A number of new technics involving external detection of radioactivity in the blood stream or in tissues have been proposed as means for determining the rate, volume and pathway of blood flow in the intact subject. By virtue of their dependence on indirect, external measurement of indicator (isotope) activity in the body as opposed to direct measurement, these technics have been categorized a...

On Counting Polynomials of Some Nanostructures

The Omega polynomial(x) was recently proposed by Diudea, based on the length of strips in given graph G. The Sadhana polynomial has been defined to evaluate the Sadhana index of a molecular graph. The PI polynomial is another molecular descriptor. In this paper we compute these three polynomials for some infinite classes of nanostructures.

Curve Counting and Instanton Counting

Intuitively, in four-dimensional gauge theories one counts instantons, and in twodimensional string theory one counts holomorphic curves. These correspond to the instanton counting and curve counting in the title. There is no obvious connection between them, but a remarkable physical idea called geometric engineering [9, 10, 11] dictates that they are indeed related. More precisely, the generat...

Not for Circulation for Internal Circulation for Public Circulation

Region Counting Distances and Region Counting Circles

The region counting distances, introduced by Demaine, Iacono and Langerman [5], associate to any pair of points p, q the number of items of a dataset S contained in a region R(p, q) surrounding p, q. We define region counting disks and circles, and study the complexity of these objects. In particular, we prove that for some wide class of regions R(p, q), the complexity of a region counting circ...