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Tesseract Open Source OCR Engine (main repository) - tesseract-ocr/tesseract. ... Tesseract uses Leptonica library for opening input images (e.g. not ... Tesseract · Wiki · 3rdParty · 38 releases

The result of Theorem 61 is that the innermost for loop accounts for cubic running time The remaining work in the algorithm is inconsequential because it is done, at most, once per iteration of the inner loop Put another way, the cost of lines 17-22 is inconsequential because it is done only as often as the initialization of the inner for loop, rather than as often as the repeated body of the inner for loop Consequently, the algorithm is O(N3) The previous combinatoric argument allows us to obtain precise calculations on the number of iterations in the inner loop But, for a Big-Oh calculation, that really isn't necessary; we need to know only that the leading term is some constant times N3 Looking at the algorithm, we see a loop that is potentially of size N inside a loop that is potentially of size N inside another loop that is potentially of size N This configuration tells us that the triple loop has the potential for N x N x N iterations This potential is only about six times greater than our precise calculation of what actually occurs Constants are ignored anyway, so we can adopt the general rule that, when we have nested loops, we should multiply the cost of the innermost statement by the size of each loop in the nest to obtain an upper bound In most cases, the a program with three upper bound will not be a gross overestimate"hus nested loops, each running sequentially through large portions of an array, is likely to exhibit O ( N 9 behavior Note that three consecutive (nonnested) loops exhibit linear behavior; it is nesting that leads to a combinatoric explosion Consequently, to improve the algorithm, we need to remove a loop



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We do not need precise calculations for a Big-Oh estimate In many cases, we can use the simple rule of multiplying the size of all the nested loops Note that consecutive loops do not multiply

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Table 51:





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When we remove a loop from an algorithm, we generally lower the running time But how do we remove a loop Obviously, we cannot always do so However, the preceding algorithm has many unnecessary computations The inefficiency that the improved algorithm corrects is the unduly expensive computation in the inner for loop in Figure 64 The improved = i A k= Aj + C J A k In other I algorithm makes use of the fact that k = i words, suppose that we have just calculated the sum for the subsequence i, , j - 1 Then computing the sum for the subsequence i, ,j should not take much longer because we need only one more addition However, the cubic algorithm throws away this information If we use this observation, we obtain the improved algorithm shown in Figure 65 We have two rather than three nested loops, and the running time is O ( N 2 )

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To help remedy any confusion around failures when using rules, you may want to provide a Help button in your form If you use a button in the view as the primary means to submit your form, you could place an adjacent Help with Submit button that could show a dialog with helpful information on how to prepare a form for submit and what to do if problems arise

3 Exercise 616 illustrates a case in which the multiplication of loop sizes yields an overestimate in the Big-Oh result

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Submitting to a Hosting Environment In 18, we ll learn about hosting InfoPath both in a Windows application and in a browser for Forms Services But it s worth mentioning now that the Submit to Host data connection is a critical component when hosting InfoPath It is the only way for InfoPath to call into the hosting environment while the form is being lled out

/ / Quadratic maximum contiguous subsequence sum algorithm / / seqStart and seqEnd represent the actual best sequence

template <class Comparable> Comparable maxSubsequenceSum( const vector<Comparable> & a , int & seqstart, int & seqEnd )

<%@ Page language="c#" Codebehind="Defaultaspxcs" AutoEventWireup="false" Inherits="Simple10DataBinding_Default" %> <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 40 Transitional//EN" > <HTML> <HEAD> <title>Simple Data Binding Example</title> </HEAD> <body MS_POSITIONING="FlowLayout"> <form id="Form1" method="post" runat="server"> <asp:Label id="m_SelectedCustomerPromptLabel" runat="server">Selected Customer:</asp:Label> <asp:Label id="m_SelectedCustomerLabel" runat="server" />

Browser-enabled form templates support similar hosting concepts as InfoPath, but the actual implementation differs Hosting an InfoPath, as well as a browser-based form, is discussed in 18

thissum += a [ j ]

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