di(X)=min1⩽k⩽p{di(Xk)} be the distance between demand point i and the closest facility. A customer is assumed to be served by the facility closest to him [17]. The Analysis of discrete demand We show how t
The squared distance between a point p and the line h is given by d2(p,h)=(apx+py+e)2a2+1. Thus s(h)=s2(h)=∑p∈Ξ(h)(apx+py+e)2a2+1=A1a2+A2+A3e2+2A4a+2A5ae+2A6ea2+1, where ≔≔A1=A1(h)≔∑px2,A2=A2(h)≔∑py2, ≔≔≔A3=A3(h)≔|Ξ(h)|,...
This work is focused mostly on a special type of LED tree that has a length-minimizing property. This type of tree emerged in a practical application that we started to deal with, and it soon caught our interest also from the theoretical point of view. The main contribution of the work p...
The dynamic resistance of the LED at a certain operation point will determine the relation between the voltage ripple on the LED and the resulting current ripple thought the LED. This dynamic resistance is quite small, which means that a very small voltage ripple can already result in large cur...
Consider the class of zero-mean functions with fixedL∞andL1norms and exactlyN∈Nnodal points. Which functionsfminimizeWp(f+,f−), the Wasserstein distance between the measures whose densities are the positive and negative parts? We provide a complete solution to this minimization problem on th...
This characteristic will also result in a change of the displayed pH value and reduce the difference between the real pH value of a sample and pH 7 with the appropriate percentage. This error is more pronounced if only a single point calibration is performed. Older type pH meters typically ...
a reformulation of solid mechanics, known as Peridynamic (PD) theory, has been introduced by Silling [60]. Remarkably, this theory eliminates the need to evaluate spatial derivatives within a material body by using integral equations for calculating forces arising from interactions between material par...
More specifically, each `net segment` will have a delay factor attached to it that can be used to generate a `distance between blocks` hierarchy for generating a placement seed. This leads to a typical block representation, as shown in FIG. 2k, where the numbers shown represent units of le...
(iii) permission is granted to build the motorway in the shape of a curve of prescribed length between the two fixed points. Assuming that the motorway can be treated as a line source (i.e. the width of the motorway is small relative to the distance of the sensitive point), it is ...
The expression for wL effectively limits the dynamic range of the activity measure to lie between a value of 2 (corresponding to flat or no spatial activity regions) and a value of 22 (corresponding to an edge or high spatial activity) regions. For each color ci within the histogram, a ...