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where nk is the number of ants Using equation (173), the total pheromone intensity of a link is proportional to the desirability of the paths in which the link occurs, based on the length of the cork responding path The deposited pheromone, ij , calculated using equation (173), expresses the quality of the corresponding solution For SACO, the quality of a solution (the constructed ath) is simply expressed as the inverse of the length of the path in terms of the number of hops in the path Any other measure can be used, for example the cost of traveling on the path, or the physical distance traveled In general, if xk (t) denotes a solution at time step t, then f (xk (t)) expresses the quality of the solution If k is not proportional to the quality of the solution and all ants deposit n 1 2 the same amount of pheromone (ie ij = ij = = ijk ), then it is only the di erential path length e ect that biases path selection towards the shortest path very similar to the observations of Deneubourg et al [199] This discussion leads to the two main forms of solution evaluation employed by ant algorithms, namely implicit evaluation, where ants exploit the di erential path length e ect to bias the search of other agents, and explicit evaluation, where pheromone amounts are proportional to some quality measure of constructed solutions If the amount of pheromone deposited is inversely proportional to the quality of the solution (as is the case in equation (173)), then the larger f (xk (t)) (that is, the worse the constructed solution), the smaller 1/f (xk (t)), hence the less the amount of pheromone deposited on the link Thus, a long path causes all the links of that path to become less desirable as a component of the nal solution This is the case for any quality measure, f , that needs to be minimized Any of a number of termination criteria can be used in Algorithm 172 (and for the rest of the ant algorithms discussed later), for example, terminate when a maximum number of iterations, nt , has been exceeded; terminate when an acceptable solution has been found, with f (xk (t)) ;.

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When j is permitted to exceed i, then the method is implict and an iterative solution is necessary. lso of interest are the forms developed by Merson and Scraton. These are fourth-order methods ( p = 4) but use five stages (u = 5). The extra degree of freedom obtained is used to give an estimate of the local truncation error at that step. This can be used to automatically control the step length. Although they are accurate, the explicit Runge-Kutta methods are not A-stable. Stability is achieved by ensuring that the step length does not become large compared to any time constant. For a pth-order explicit method the characteristic root is. Control gtin - 12 data with java to encode upc-a . gs1 - 12 data, size, image with java barcode sdk. .Related: ASP.NET Intelligent Mail Generating , EAN-8 Generation C# , C# EAN-13 Generating

Self-Test Exercises in Software Generation Data Matrix ECC200 in Software Self-Test xercises.In text processing you often want to convert lowercase letters to uppercase or vice versa The prede ned function toupper can be used to convert a lowercase letter to an uppercase letter For example, toupper( a ) returns A If the argument to the function toupper is anything other than a lowercase letter, toupper simply returns the argument unchanged So toupper( A ) returns A , and toupper( ) returns The function tolower is similar except that it converts an uppercase letter to its owercase version The functions toupper and tolower are in the library with the header le <cctype>, so any program that uses these functions, or any other functions in this library, must contain the following:. 9 Generation In C#.NET Using Barcode encoder for .NET .Related: .NET QR Code Generation , QR Code Generating .NET Image, .NET QR Code Generating Size

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service control to generate, create barcode code39 image in . His solution has the form / = -v/-/ lin (l 1.04a-lDl/2t1/e) where a = (A0/4JZ)1/2 f=ls. 2.7.3 (2.7.18). by three quantities, the characteristic length / (eg the .Related: C# ITF-14 Generator , Code 128 Generating .NET WinForms , EAN-8 Generation .NET

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