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Proof First, it is argued that C-SCHED belongs to NP, then it is shown that C-SCHED is NP-hard by reducing the well-known NP-complete problem 3-PARTITION (Garey and Johnson [73]) in polynomial time to C-SCHED 3PARTITION is NP-complete in the strong sense The 3-PARTITION problem is as follows Given is a set A of 3m positive integer numbers ai and a positive integer bound B such that 3m ai = mB with B/4 < ai < i=1 B/2 for i = 1, , 3m Can A be partitioned into m disjoint sets A1 , , Am (triplets) such that each Ai , i = 1, , m, contains exactly 3 elements of A, whose sum is B Clearly, for any given solution S of C-SCHED it can be veri ed in polynomial time that S is feasible and sl(S) T ; hence, C-SCHED NP From an arbitrary instance of 3-PARTITION A = {a1 , a2 , , a3m }, an instance of C-SCHED is constructed in the following way Task Graph G The constructed task graph G is a fork graph as illustrated in Figure 717(a) It consists of one parent node nx and 3m + 1 child nodes n0 , n1 , , n3m There is an edge ei directed from nx to every child node ni , 0 i 3m The weights assigned to the nodes are w(nx ) = 1, w(n0 ) = B + 1, and w(ni ) = 1 for 1 i 3m The edge weights are c(e0 ) = 1 and c(ei ) = ai for 1 i 3m Target System MTG The constructed target system MTG = ((N, P, D, H, b), ), illustrated in Figure 717(b), consists of |P| = m + 1 identical, fully connected processors Each processor Pi is connected to each other processor Pj through a half duplex link Lij , which is represented by an undirected edge (a hyperedge incident on two vertices: Lij = Hij = {Pi , Pj }) Hence formally, N = P, D = , m+1 H= m i=1 j=i+1 Lij , and, as all processors and links are identical, (n, P) = w(n) P P and b(Lij ) = 1 Lij H Time Bound T The time bound is set to T = B + 2 Clearly, the construction of the instance of C-SCHED is polynomial in the size of the instance of 3-PARTITION It is now shown how a schedule S is derived for C-SCHED from an arbitrary instance of 3-PARTITION A = {a1 , a2 , , a3m }, which admits a solution.



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Tess4J - Tesseract for Java - javalibs
Tess4J ## Description: A Java JNA wrapper for Tesseract OCR API. Tess4J ... How much is this artifact used as a dependency in other Maven artifacts in Central ...

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Jul 2, 2019 · Import the following libraries into your Java project. .... Vision to perform optical character recognition (OCR); create smart-cropped thumbnails; ... Create and run the sample ... · Examine the response

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12 Aug 2019 ... Tesseract : Simple Java Optical Character Recognition ... For these tasks, Optical Character Recognition ( OCR ) was devised as a way to allow ...

In words: if A s; t > c t s , the buffer must contain at time t at least the difference; a short reasoning yields that, on the other hand, it does not contain more than the maximum over s of such differences. Since Z has stationary increments, V is a stationary process. Z is invertible in time, so V0 is distributed like supt!0 A 0; t ct . An application of Kolmogorov's continuity criterion to the process zt = 1 jzj yields limt3I A 0; t =t m with probability 1. Since we have assumed m < c, it follows that V0 is a.s. nite. Note that V is nonnegative, although the input process has (regrettably!) negative increments also. The ruggedness (nondifferentiability) of the fractional Brownian path implies a paradoxical property of V : the storage is almost always nonempty. Indeed, it can be shown that the supremum in Eq. (4.3) is positive with probability one, and by stationarity, the positivity must also hold for almost every time point in almost every realization of the process. The set of times t with Vt 0 is uncountable a.s., with almost every point being an accumulation point, so that between any two distinct busy periods there are a.s. in nitely many tiny busy periods. This is, of course, an anomaly of the continuous-time model only, it has no counterpart in the teletraf c reality being modeled. Note, on the other hand, that it is a natural feature of a heavy traf c limit process (cf. 5), and that the case H 1 is no exception here. 2 4.2.3 The Output Process U s; t A s; t Vt Vs ; We then have from Eqs. (4.3) and (4.2) that Ut V0 ct sup cs As ;

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Development with Tess4J in NetBeans, Eclipse, and Command-line
Add a new Java Class file named TesseractExample with appropriate ... In project's Properties window, select Java Build Path > Add External JARs... and add ...

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20 Feb 2018 ... Optical Character Recognition , or OCR is a technology that enables you to ... For this exercise I use a Dockerized Java Spring — boot application with a ... need to copy them and add it to the tessdata folder in your project .

It is natural to de ne the output within an interval s; t as Ut U 0; t for t ! 0: 4:4

Figure 717 The constructed fork DAG (a) and target system (b)

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In this article, we will learn how to work with Tesseract OCR in Java using the Tesseract API. What is Tesseract OCR? Tesseract OCR is an optical character ...

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