Point-based shape representation has received increased attention in recent years, mainly due to its simplicity. One of the most fundamental operations for point set processing is to find the neighbors of each point. Mesh structures and neighborhood graphs are commonly used for this purpose. However, though meshes are very popular in the field of computer graphics, neighbor relations encoded in...

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Abstract. Signed digit representations with base q and digits − q 2 , . . . , q 2 (and uniqueness being enforced by applying a special rule which decides whether −q/2 or q/2 should be taken) are considered with respect to counting the occurrences of a given (contiguous) subblock of length r. The average number of occurrences amongst the numbers 0, . . . , n−1 turns out to be const · log q n + δ...

OBJECTIVE To determine if there is a relationship between parental perception of neighborhood safety and overweight at the age of 7 years. DESIGN Cross-sectional analysis of the National Institute of Child Health and Human Development Study of Early Child Care and Youth Development. SETTING Ten urban and rural US sites. PARTICIPANTS A total of 768 children selected via conditional random ...

Let sq be the sum-of-digits function in base q, q � 2. If t is a positive integer, we denote by tR the unique integer that is obtained from t by reversing the order of the digits of the proper representation of t in base q. In this work we prove that for all α ∈ R and all positive integers t the correlation measure γ(α, t) = lim x→∞ 1 x � n<x e2πiα(sq(n+t)−sq(n)) satisfies γ(α, t) = γ(α, tR). F...

In this proceedings a particular example from [KMPY] is presented: the construction of the level 2 Fock space of Uq(ŝl2). The generating ideal of the wedge relations is given and the wedge space defined. Normal ordering of wedges is defined in terms of the energy function. Normally ordered wedges form a base of the wedge space. The q-deformed Fock space is defined as the space of semi-infinite ...

For the Landau-de Gennes functional on 3D domains, $$\begin{aligned} I_\varepsilon (Q,\Omega ):=\int _{\Omega }\left\{ \frac{1}{2}|\nabla Q|^2+\frac{1}{\varepsilon ^2}\left( -\frac{a^2}{2}\mathrm {tr}(Q^2)-\frac{b^2}{3}\mathrm {tr}(Q^3)+\frac{c^2}{4}[\mathrm {tr}(Q^2)]^2 \right) \right\} \,dx, \end{aligned}$$ it is well-known that under suitable boundary conditions, global minimizer $$Q_\vareps...

Recent trends in field of wireless networks is setting up Wireless Sensor Networks that, senses specified parameter(s) related to environment; processes sensed data and wirelessly communicates it to a base station. Such networks open up a whole new range of applications, including precision agriculture, monitoring and tracking vehicles, animals and humans, battle-field surveillance, civil struc...

We give an algorithm that computes an absolutely normal Liouville number. 1. The main result The set of Liouville numbers is {x ∈ R \Q : ∀k ∈ N, ∃q ∈ N, q > 1 and ||qx|| < q−k} where ||x|| = min{|x−m| : m ∈ Z} is the distance of a real number x to the nearest integer and other notation is as usual. Liouville’s constant, ∑ k≥1 10 −k!, is the standard example of a Liouville number. Though uncount...

execution of every planned program in cities has different process. process involves inhabitant&apos;s preferences, capacity of area or neighborhood, scale of people participation. after these strategies plans will prepared and executors apply them. planning in city scale considering potentials of area and participation of people is very important stage to eliminate undesirable appearances of c...