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( | ) = 1,

[Image not available in this electronic edition]

(1481)

N 1 2 (

N 2 ( ) sin 1 ( ) 2

Source: 1996, 1998, 2000, 2005 IT Governance Institute (ITGI) All rights reserved Used by permission

(1482)

Note that for N large enough these states contain all the Pegg Barnett phase states and besides they form a continuous family labeled by the points of the circle The coherent state quantization of a particular function f ( ) with respect to the continuous set (1480) yields the operator A f de ned by f ( )

(1483)

An analogous procedure has been used within the framework of positive-operator-valued measures [194, 195]: the phase states are expanded over an in nite orthogonal basis with the known drawback of de ning the convergence of the series | = n e in |n from the Hilbertian arena and the related questions concerning operator domains When it is expressed in terms of the number states, the operator (1483) takes the form

ice beer never really took off Lager beers were already served cold and delivered refreshment, so the claimed extra refreshment of ice beer was not relevant There are several factors to consider when evaluating the relevance of an extension

.

N 1

c n n ( f )|n n | ,

(1484)

where c n ( f ) is the Fourier coef cient of the function f ( ),

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MATURITY MODELS Senior managers in corporate and public enterprises are increasingly asked to consider how well IT is being managed In response to this, business cases require development for improvement and reaching the appropriate level of management and control over the information infrastructure While few would argue that this is not a good thing, they need to consider the cost-benefit balance and these related questions: What are our industry peers doing, and how are we placed in relation to them What is acceptable industry best practice, and how are we placed with regard to these practices Based upon these comparisons, can we be said to be doing enough How do we identify what is required to be done to reach an adequate level of management and control over our IT processes It can be difficult to supply meaningful answers to these questions IT management is constantly on the lookout for benchmarking and self-assessment tools in response to the need to know what to do in an efficient manner Starting from COBIT s processes and high-level control objectives, the process owner should be able to incrementally benchmark against that control objective This responds to three needs: 1 A relative measure of where the enterprise is 2 A manner to efficiently decide where to go 3 A tool for measuring progress against the goal Maturity modelling for management and control over IT processes is based on a method of evaluating the organisation, so it can evaluate itself from a level of non-existent (0) to optimised (5) This approach is derived from the maturity model that the Software Engineering Institute defined for the maturity of software development capability Whatever the model, the scales should not be too granular, as that would render the system difficult to use and suggest a precision that is not justifiable because, in general, the purpose is to identify where issues are and how to set priorities for improvements The purpose is not to assess the level of adherence to the control objectives The maturity levels are designed as profiles of IT processes that an enterprise would recognise as descriptions of possible current and future states They are not designed for use as a threshold model, where one cannot move to the next higher level without having fulfilled all conditions of the lower level Using the maturity models developed for each of COBIT s 34 IT processes, management can identify: The actual performance of the enterprise Where the enterprise is today The current status of the industry The comparison The enterprise s target for improvement Where the enterprise wants to be To make the results easily usable in management briefings, where they will be presented as a means to support the business case for future plans, a graphical presentation method needs to be provided (figure 9) Figure 9 Graphic Representation of Maturity Models.

cn( f ) =

d 2

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