The cluster based on the density is a kind of cluster analysis, its main merit is to discover cluster of arbitrary shape and insensitive to the noise data. R-tree organizes the space index according to the spatial data, the spatial overlapping is in a big way, the inquiry efficiency is low, in order to adapt the need of massive GIS inquiry application, this paper firstly carries on the division...

Alex Muncy was still an apprentice at STIHL Inc. when the company enlisted him in revamping an automated packaging process. The package would contain the outdoor power equipment manufacturer’s signature trimmer line, the colorful cord used to give lawns a precise, neat appearance. The goal: satisfy the customer while cutting production costs. Muncy’s team developed a concept, designed the packa...

(1) Let S1 be a finite non empty subset of R and e be a real number. If for every real number r such that r ∈ S1 holds r < e, then maxS1 < e. For simplicity, we follow the rules: C is a simple closed curve, A, A1, A2 are subsets of E2 T, p, p1, p2, q, q1, q2 are points of E2 T, and n is a natural number. Let us consider n. Observe that there exists a subset of En T which is trivial. One can pro...

Rayleigh and Raman scattering measurements have been performed i n the 20-inch, Mach 6 wind tunnel at the NASA Langley Research Center . Rayleigh results show signal levels which are much higher than expected f o r molecular scattering in the tunnel, while densities deduced from s p o n t a n e o u s Raman scattering of molecular nitrogen are in good agreement with t h e expected nitrogen densi...

We seek critical points of the functional E(u) = j |Vw|, where Ω is Ω the unit disk in (R and u: Ω -+ S satisfies the boundary condition u = y on dΩ. We prove that if y is not a constant, then E has a local minimum which is different from the absolute minimum. We discuss in more details the case where y(x, y) = (Rx, Ry, ̂ Γ^R) and R <

For simplicity, we use the following convention: a, b, s, s1, r, r1, r2 denote real numbers, n, i denote natural numbers, X denotes a non empty topological space, p, p1, p2, q denote points of E n T, P denotes a subset of the carrier of E n T, and f denotes a map from E T into R . Let n, i be natural numbers and let p be an element of the carrier of E T. The functor Proj(p, i) yielding a real n...

^ANY, Fej). 7—^Retirement dements la th e “m ust" class outlined this week by officials Civil Service Employees :ifttioix. They include five m ain points. These form tiie basis of th e Association’s negotiations w ith Com ptroller F rtm k C. Moore an d H. E liot K aplan, h ead of th e S ta te R etirem en t System . T he program , in p a r t : 1 Perm ission fo r optional re • tirem en t a t age ...

Let Cn be the origin-containing cluster in subcritical percolation on the lattice 1 nZ , viewed as a random variable in the space Ω of compact, connected, origin-containing subsets of R, endowed with the Hausdorff metric δ. When d ≥ 2, and Γ is any open subset of Ω, we prove that lim n→∞ 1 n logP (Cn ∈ Γ) = − inf S∈Γ λ(S) where λ(S) is the one-dimensional Hausdorff measure of S defined using th...

The Centerpoint Theorem states that, for any set S of n points in R, there exists a point p in R such that every closed halfspace containing p contains at least dn/(d+ 1)e points of S. We consider generalizations of the Centerpoint Theorem in which halfspaces are replaced with wedges (cones) of angle α. In R, we give bounds that are tight for all values of α and give an O(n) time algorithm to f...

Definition 1.1 [5] Fix a degree n line bundle ~ on E. Set V = H ~ (E, ~ ) . Identify V| with H~174 Define the shifted diagonal A~:={(x,x+ (n-2)r) lx~E}. Denote by M the set of fixed points for the involution (x, y) ~ (y + 2r, x 2r) on E • E. We say that a divisor D on E • E is allowable if D is stable under this involution, and M occurs in D with even multiplicity. The n-dimensional Sklyanin al...