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We now introduce concepts that are commonly used in the discussion of persistent state services. We refer to Figure 10.2 for an overview of these concepts. The figure refers to the objects that are shown as Datastore Objects on the right-hand side of F igure 10.1.

, an object is in relation with itself, denoted as x R x), symmetric (if x R y, then y R x) and transitive (if x R y and y R z, then x R z) is called an equivalence relation The equivalence class of an element x 2 X, denoted as x R , consists of all objects y 2 X such that x R y The family of all equivalence classes of R is denoted by U/R Now let us provide a de nition of the indiscernibility relation De nition D5 Given an information system ^ U; A , with any B A, there is S an associated equivalence relation IB: IB f x; y 2 U Uj8 Attr 2 B; Attr x Attr y g IB is called the B-indiscernibility relation.

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band their radiation will oppose the primary radiation; thus there will be a gain reduction. So the bandwidth calculations presented here are optimistic, in that the dipole gain diminished by the mismatch loss will not be realized over the entire bandwidth. One might consider replacing the Snyder dipole with twin conductor stubs, but this con guration is not equivalent to the coaxial stub antenna. In the Snyder dipole the return stub current is shielded, whereas in the twin conductor stubs the currents nearly cancel. In summary, the Snyder dipole performance is no better than a fat dipole of the same diameter as the stub diameter. At band edges it is worse because of stub transmission line currents that ow on the outside of the stubs away from resonance; this was not included in the simple analysis used here.

If x; y0 2 IB , the objects x and y0 are indiscernible from each other by attributes from B The family of all equivalence classes of IB (ie, the partition determined by B) will be denoted by U=IB, or simply U=B; an equivalence class of IB containing x will be denoted by [x]B Now we use the information system given in Table D2 to illustrate the indiscernibility relation and the corresponding equivalence classes D:1.

Women with an adnexal mass should undergo imaging, and high-frequency, gray-scale transvaginal ultrasonography is the modality of choice due to availability, tolerability, safety, and costeffectiveness.2 Abdominal ultrasonography should be a standard part of the assessment of a pelvic mass, as large masses may not be fully characterized transvaginally. The addition of color Doppler to assess blood ow in and around a mass can increase the sensitivity and speci city of ultrasound in detecting a malignancy. When using strict diagnostic criteria, ultrasonography has a negative predictive value of up to 99%

stage when lapse or relapse occurs or is made to occur. (Data from Christo (1995) show that relapses do not simply happen as part of an inevitable process but may often be planned in advance, sometimes in considerable detail.)