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Parametric EQ is slightly different from graphic EQ, because you don t have faders for specific frequencies. Instead, you choose a frequency, how much around your target frequency you want to affect and how much you want to boost or cut. Parametric EQ is usually implemented using knobs, with a separate knob for the frequency, the Q (which is the term used for the width of the effect), and the amount of boost or cut. Some parametric EQ systems don t provide control of the Q; this is known as semi-parametric EQ. Some parametric EQ also have a little switch that changes the EQ from standard parametric to shelving EQ. Shelving EQ affects all frequencies above or below the frequency setting. Shelving EQ that affects all frequencies below the target frequency is known as high pass, because all frequencies above the target frequency are passed through untouched. Similarly, shelving EQ that affects frequencies about the target frequency is called a low pass shelf, because all the low frequencies are passed.

The Curves dialog box, like the histogram, allows you to edit and redistribute image data. But unlike the histogram, the Curves dialog box offers no graphical display of the data. So using the dialog box takes a bit of imagination. Because it is graphical, you ll tend to use the histogram to set highlights and shadows as in the preceding task. But with the Curves dialog box, you ll be more likely to make changes in the image data that exists between the highlight and shadow points. One common use of the Curves dialog box is to adjust brightness and contrast, as demonstrated in the following steps. I start with the histogram-corrected barn image.

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The very alert reader might argue that single-line comments are incompatible with what we said earlier about whitespace insensitivity. That would be correct you will get a very

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The following are the basic requirements for the letter of transmittal as contained in the GAAFR: Formal transmittal of the CAFR. This section is the actual communication of the CAFR to its intended users. For example, the letter of transmittal might cite the legal requirements for preparing the CAFR and then indicate that the submission of the CAFR is in fulfillment of those requirements. Other topics that are suggested for inclusion are Management s framework of internal controls Independent audit of the financial statements, including limitations inherent in a financial statement audit Reference to other independent auditor reports, such as those resulting from a single audit of federal awards programs Direction of readers attention to the MD&A contained in the financial section of the CAFR Profile of the government. This would include a brief description of the government s structure and the types of services it provides. This section might also briefly discuss the inclusion of component units and the budget process. Information useful in assessing the government s financial position. The GAAFR distinguishes financial condition from financial position in that financial condition focuses on both existing and future resources and claims on those resources. Because this future-looking information is generally precluded from inclusion in the MD&A, the letter of transmittal should serve as a vehicle to discuss these subjective factors affecting financial condition. Awards and acknowledgements. This would include any Certificate of Achievement from the GFOA received by the previous year s CAFR, as well as other awards and acknowledgments of those contributing to the preparation of the CAFR.

Problem 11.5 (Minimum of a quadratic form) Consider the quadratic cost function J ( z ) = (z - c ) * A ( z- c ), where z and c are column vectors and A is a Hermitian nonnegative-definite matrix. Argue that the minimum value of J ( z ) is zero and it is achieved at z = c d for any d satisfying Ad = 0. Problem 11.6 (Trace of error covariance matrix) Use (3.5), and expression (3.17) for the optimal value of E 15(i)lz, justify (3.18). to

You may have noticed that we are working with a brush size that s larger than a strand of hair. The lighten blending mode is what allows us to use a larger brush because only the dark hair is being affected, speeding-up the stray hair taming process.

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