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(5.53)

(5.1 16)

This approach is not the most ef cient. A variable time step is usually adopted with smaller time steps where the solution varies rapidly in time and larger time steps where the solution is smoother. The time step is usually adjusted dynamically as the solution proceeds; in particular, a short time step makes the solution of the nonlinear eq. (1.22) easier. A simple procedure when the solution of eq. (1.22) becomes too slow or does not converge at all consists of stopping the zero-searching algorithm, reducing the time step and restarting the algorithm. There is an intuitive relation between time step and accuracy of the solution. For a band-limited signal in permanent regime, an obvious criterion for time discretisation is given by Nykvist s sampling theorem. If the time step is larger than the sampling time required by Nykvist s theorem, the bandwidth of the solution will be smaller than that of the actual solution and some information will be lost. The picture is not so simple for complex signals, but the principle still holds: the ner the time step, the more accurate the solution. Since higher frequency components are sometimes negligible for practical applications, a compromise between accuracy and computational burden is usually chosen. In practical algorithms, more elaborate schemes are implemented, including modi ed nodal analysis, advanced integration schemes, sophisticated adaptive time-step schemes and robust zero-searching algorithms [3 7].

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ome of the most interesting and vexing problems come from trying to integrate TV hardware with Windows Media Center Edition. Sure, hooking up a conventional TV set is pretty easy. But start adding one or more set-top boxes, satellite receivers, and so forth, and things get interesting in a hurry. Add the emerging standards and technologies for High Definition Television, or HDTV, and they can soon become overwhelming. As we write this book, the current official line on MCE and HDTV is broadcast only, which means that while you can grab broadcast HDTV signals through properly equipped MCE-compatible tuner cards, there s no easy or officially supported way to integrate an HDTV digital set-top cable box or satellite receiver into this mix. That said, there are plenty of rumors that the next version of MCE will include such support (but rumors that preceded the launch of MCE 2005 made the same claims). The real issues are not technological, but rather legal and regulatory. Although the Washington, D.C. District Court of Appeals struck down the FCC s broadcast flag requirement in May 2005, none of the vendors we asked point blank would say if they would take this ruling to mean they could incorporate direct attachments for cable or satellite boxes into their HDTV cards or not. We guess nobody still knows for sure if North American video/tuner card manufacturers will take this plunge or not. All we can say is that you can already integrate both cable and satellite HDTV feeds into Media Center PCs built for the European market, using hardware and services available in Europe (but not, alas, in North America).

1. To calculate the plotted size of the drawing at 1 4"=1', you can start with the width, which is 175'. Take one-quarter of 175 to get the width of the drawing in inches, which is 433 4". 2. Take one-quarter of the height, 120', to get the height of the drawing in inches, which is 30". 3. A C-size sheet (see Table 5-3) is 22" 17", which is too small for a 433 4" 30" drawing. 4. Recalculate the drawing at 1 8"=1'. Take one-eighth of 175 to get 217 8. Take one-eighth of 120 to get 15".

(4.16)

where k {+1, 1}. From the pseudocode for the shifted inverse power algorithm, if k is large enough, via (11.45), we obtain

(9.74)

(4.123)

34 Understanding AutoLISP and Visual LISP Basics 35 Exploring AutoLISP Further 36 Exploring Advanced AutoLISP Topics 37 Programming with Visual Basic for Applications

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wxPrintDialog and wxPageSetupDialog wrap two dialogs used for configuring the printer and page in preparation for printing, and wxPrinter and wxPrintout take care of the actual printing. There are also the wxPrintPreview and wxPreviewFrames classes for supporting print preview.

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