On compositenfor whichφ(n)∣n− 1. II

Diiusions on Braided Spaces Ii Preliminaries Ii.1 Braided Spaces

The notion of q-Brownian motion introduced by Majid is extended to braided spaces corresponding to a generic R-matrix, and combined with the theory of quantum probability. This leads to a deenition of diiusions on these spaces. The corresponding heat equations (diierence-diierential equations) are solved in terms of Appell polynomials (i.e. shifted moment systems). Some examples of interest for...

Treatment Effects of Farmand Functional Appliance on Class II Division 1 Malocclusion

Background and Aim: The aim of the present study was to evaluate the cephalometric changes in Class II division 1 mandibular deficient patients treated with Farmand functional appliance.  Methods and Materials: Twenty-seven subjects (17 girls and 10 boys) with the mean age of 11.1±1.4 years were involved in the present study. All the subjects were treated with Farmand functional ...

Phase-II Monitoring of AR (1) Autocorrelated Polynomial Profiles

In some statistical process control applications, quality of a process or product can be characterized by a relationship between a response and one or more independent variables, which is typically referred to a profile. In this paper, polynomial profiles are considered to monitor processes in which there is a first order autoregressive relation between the error terms in each profile. A remedi...

ON TYPE-II SINGULARITIES IN RICCI FLOW ON Rn+1

For n+1 ≥ 3, we construct complete solutions to Ricci flow on R which encounter global singularities at a finite time T . The singularities are forming arbitrarily slowly with the curvature blowing up arbitrarily fast at the rate (T − t)−2λ for λ ≥ 1. Near the origin, blow-ups of such a solution converge uniformly to the Bryant soliton. Near spatial infinity, blow-ups of such a solution converg...

Anthropoetics II, 1