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It includes certain possibilities that we normally wouldn t regard as redundancies at all. For example, suppose the suppliers-and-parts database is subject to the constraint that every part must be supplied by at least one supplier. Then the projection SP{P#} of relvar SP on P# will be equal to the projection P{P#} of relvar P on P#, and we ll have a strong redundancy on our hands. Note: Perhaps a more realistic example to illustrate the same point would be a constraint on a personnel database to the effect that every department must have at least one employee. At the same time, it excludes many possibilities that we certainly would regard as redundancies see several later sections in this chapter for examples.

Even more to the point, the references to projections in the 1970 definition should be replaced by references to projections obtained via nonloss decomposition. (The first of the two objections in the previous bullet item would then go away.) If this replacement is made, then my fifth principle of normalization becomes very close to saying: There shouldn t be any strong redundancies. However, I haven t yet said all I want to say about that principle, and what I have to add will mean it isn t really as simple as just avoiding strong redundancy. One last point on Codd s definitions: Codd did at least say (in both papers) that we shall associate with [the database] a collection of statements [that] define all of the redundancies in that database. In other words, he certainly wanted the system to be aware of the redundancies, and he wanted those redundancies to be managed. Unfortunately, however, he went on to say: The generation of an inconsistency6 ... could be logged internally, so that if it were not remedied within some reasonable time ... the system could notify the security officer [sic]. Alternatively, the system could [inform the user] that such and such relations now need to be changed to restore consistency ... Ideally, [different remedial actions] should be possible ... for different subcollections of relations. I have argued elsewhere, however see, for example, the book mentioned a couple of times already, Database in Depth: Relational Theory for Practitioners that the database must never be allowed to contain any inconsistencies, at least as far as the user is concerned. In other words, remedying inconsistencies needs to be done immediately, on an individual statementby-statement basis (not even on a transaction-by-transaction basis). See the section Managing Redundancy later in this chapter.

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This example illustrates why it takes more vertices (and more triangle strips) to define a polygon with flat faces than it does to define the same polygon a little bit rounded: the vertices of the last triangle share positions with some of the other vertices, but they need to be defined as separate vertices in order to have normal vectors that are perpendicular to the given face The next step is to add some light Four different types of light are available: ambient (lighting the whole scene equally from all directions), omnidirectional (radiating in all directions from a point), directional (giving parallel rays of light in a fixed direction), and spot (giving a cone of light from a spotlight) Normal vectors are used to decide the angle at which the light bounces off the surface relevant for all lighting types except ambient.

Start building the frame that will be placed in the back of the robot to hold together the three main parts you just built.

Informally, normalization has to do with vertical decomposition of relvars (that is, decomposition via projection). But horizontal decomposition (that is, decomposition via restriction) is clearly possible, too. Consider the example shown in Figure 12-5, in which the parts relvar P

6. Inconsistencies (or, as I would prefer to call them, integrity violations) can certainly be caused by redundancy, of course more precisely, by redundancy that s inadequately managed but of course not all integrity violations are caused by redundancy.

For this example, let s set up an omnidirectional light source along the same axis as the camera: // now add the light: Light light = new Light(); lightsetMode(LightAMBIENT); lightsetIntensity(200f); Transform lightTransform = new Transform(); lightTransformpostTranslate(00f, 00f, 500f); g3dresetLights(); g3daddLight(light, lightTransform); To show the reflection better, instead of just using a default Appearance as we did in the previous section, let s give the pyramid a shiny surface and turn off culling so you can see the inside Then let s rotate the pyramid a little and render the following: // Let's try creating a more complex appearance: Appearance appearance = new Appearance(); // first a reflective material Material material = new Material(); materialsetShininess(1000f); appearancesetMaterial(material); PolygonMode pm = new PolygonMode(); pmsetCulling(PolygonModeCULL_NONE); pmsetTwoSidedLightingEnable(false); appearancesetPolygonMode(pm);.

Attach the frame on the back of the robot. Step 108 is tricky, because you have to insert 14 pins in their correct holes.

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