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In deriving the sampling theorem, Shannon limited his attention to bandlimited functions. As we are interested in images, our discussion of Shannon s result will focus on the 2D function f (x, y). By bandlimited, we mean that the Fourier transform of f, ^(u, v), vanishes outside a certain range. Speci cally, we assume f f that j ^(u, v) j 0 for juj . Bx or jvj . By. Since ^(u, v) exists, we may also say f that f [ L 2(R2), the space of 2D functions that are square integrable in Lebesgue s sense. The Hilbert space VB associated with the Shannon basis is thus the space of bandlimited functions in L 2(R2). The function ^(u, v) within the bandlimit is sketched in Fig. 3.3. Consider a funcf t (u, v), which is a periodic tiling of the Fourier plane with copies of ^(u, v), as tion f f sketched in Fig. 3.4. Since t (u, v) is a periodic function, it can be expressed as the f Fourier series ! 1 1 X X nu nv ^t (u, v) anm exp ip f (3:90) Bx By n 1 m 1 Over the range of ^(u, v), ^(u, v) t (u, v). This means that f f f



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he individuals and institutions that invest in hedge funds are surprisingly different in terms of risk tolerance, investment horizon, investment objectives, and investment restrictions. (See Figure 3.1.) Many of the differences between investors involve the way they are taxed (if they are taxed at all). This chapter includes a discussion of the tax treatment of these investor types. (Hedge funds usually pay little or no tax but must ow through the taxable amounts to investors in many countries, including the United States. For a description of how a partnership calculates the tax consequences of the hedge fund investments, see 10.)





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result of con uences of dynamic external (socioeconomic, business, legal, military, technology, psychology) and internal forces (individuals, theories, and applications) at various times. These forces, along with other in uences (e.g., interdisciplinary elds), interacted in shaping both science and practice. Several trends from then to now can be summarized: (a) I-O psychologists are more proactive and less reactive, (b) both employee goals and organizational goals are now considered rather than only organizational goals, (c) the discipline is a blending of science and practice, (d) intricate and integrated approaches are used to understand humans in the workplace (i.e., broad theories and models take into consideration the complexity of cognition and behavior in organizations) instead of a simple view, (e) specialties within the discipline now exist, (f) an increasing objectivity and greater accuracy of measurement (statistics) are emphasized, (g) more and better trained I-O psychologists and teachers are available, (h) more research is conducted on employee behaviors (personality traits, organizational citizenship behaviors) and contexts (work teams, international contexts) rather than on theoretical constructs (e.g., motivation), and (i) the underlying theme, improving the workplace and work lives, remains steadfast in the discipline. CONCLUSION: WHAT HAVE WE LEARNED A better understanding of what I-O psychologists did and why they did what they did was obtained from examining the sociohistorical context of the discipline. Have I-O psychologists made a difference in the workplace According to Katzell and Austin (1992),

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The basis of the space K,,,] consists of three types of basis functions:

My client, Susan, had been losing weight steadily for over a month, but she was worried because she was going on a vacation with her mother. I always eat too much around my mother, she told me.

Proof. Note that the lune in the RNG de nition is a subset of the disk in GG de nitions. Therefore, if the lune does not contain any neighbor, then the disk also does not contain any neighbor. Therefore if an edge belongs to RNG it also belongs to GG. A A Gabriel graph was used in ref. [23] for routing with guaranteed delivery because it was the densest known localized structure that was planar. The planarity of GG (and consequently its subgraphs RNG and LMST) can be shown from the planarity of Delaunay triangulation (see the next proof), which contains GG as its subset.

The Macro Recorder What is recorded Relative or absolute Recording options Cleaning up recorded macros About Objects and Collections The object hierarchy About collections Object referral Properties and Methods Object properties Object methods The Comment Object: A Case Study Online help for the Comment object Properties of a Comment object Methods of a Comment object The Comments collection About the Comment property Objects within a Comment object Determining whether a cell has a comment Adding a new Comment object Some useful application properties Working with Range Objects The Range property The Cells property The Offset property Things to Know about Objects Esoteric but essential concepts to remember Learn more about objects and properties ..

Binomial. Consider again a Bernoulli experiment p. Now repeat this Bernoulli experiment n times. binomial distribution with parameters fN(k) Note that N has support Poisson. calculation = Pr{N n and p: = Ic} =

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