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10. The same trend was also observed in the CIR estimation error analysis of Figure 3.5(b). This correspondence was expected, since as the algorithm converged, the CIR estimate f ~ i , approached that of the actual CIR hi. We can explain the trend upon varying S by studying the Kalman recursive equations of Table 3.3 for the RKCE and by deriving a new mathematical formulation for the Kalman gain K(k). We commence the derivation by substituting Equation 3.51 into Equation 3.53, yielding:

In this section we study linear second-order hyperbolic problems. A model equation with appropriate boundary and initial conditions is formulated in Paragraph 1.4.1. In Paragraph 1.4.2 we derive its weak formulation and present a basic existence and uniqueness result. In Paragraph 1.4.3 we show the link between the second-order hyperbolic equations and first-order hyperbolic systems. 1.4.1 Initial and boundary conditions The notion of hyperbolicity was first introduced in Definition 1 . 1 . Consider the model equation

Figure A.3a A closed circuit showing three resistances in series with a battery as an emf source. A voltmeter is placed across R3 , which measures the potential difference across that resistance.

1 l (X) + c 1 p(X)

. . . f ( L - 1) ] 1

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Guaranteed reservations enable lodging establishments to predict revenue even more accurately. They commit the guest to pay for a room night and the hotel to provide accommodations, regardless of arrival time. If the guest does not show up (without prior cancellation), the hotel may process a credit-card voucher for payment. Likewise, no matter when the guest arrives on the reserved night, the hotel must have the reserved accommodation available. The guaranteed reservation requires the hotel to determine the method of guest payment. The guest may secure the method of payment with a valid credit card, an advance payment, or a preauthorized line of credit (each of these methods is described in detail in 9).

1- 0

Identi es the mix and price of bookings that will generate maximum pro ts for each hotel. Accurately determines which customer reservation requests to accept and which to decline. Considers competitive pressures and economic cycles with daily analysis and updates. Assesses the impact of prospective groups on overall property net revenue and provides guidelines on minimum room rates for groups. Tracks planned and actual group block materialization and identi es deviations from forecast. Performs a complex optimization of data every night, processing every booking transaction and updating large forecast data sets. Forecasts transients up to a year and half into the future.6

r = vec(R,)

For those uninitiated in the Linux realm, many of Linux s workings can create confusion. Entire volumes have been dedicated to introducing beginners to working with Linux, so our book covers only those aspects most relevant to MythTV. Readers who require more information to get started are advised to consult supplementary online documentation and print publications for an introduction to the Linux operating system. The Linux

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Remark 6.5 In order to successfully separate nonstationary sources the learning rate 0 < 0 1 should be suitably chosen to ensure variability of estimated variance of the output signals (typical value 0 = 0.1). Fully-connected Recurrent Network Let us consider now a fully-connected recurrent network as shown in Figure 6.6 (with m = n) for source separation task. The output of the network, y(k) is given by y(k) = = x(k) Wy(k) (I + W) 1 x(k) (6.132)

Refine Edge Edge Detection: The Refine Edge feature also includes another new feature, Find Hard Edges, that automatically adjusts the level of refinement that occurs around localized areas of the mask edge, helping to remove background noise that can get picked up by the refined mask. Refine Edges Color Decontamination: The Refine Edge feature also includes another new feature, Color Decontamination, that allows you to remove color fringing around the edges of your masked image by replacing the original color with that of the subject. Using the Color Decontamination, you can more easily extract an item or person in an image from its background. Refine Edges Add and Subtract Brushes: The Refine Edge tool also provides two new brushes, Refine Radius and Erase Refinements, that add to and subtract refinement of the edges of selections. These brushes allow you to make localized refinements to the edges of your mask.

Budget $80,000 80,000 78,000 72,000 72,000 72,500

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