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There s a confusion here between type and representation (see The Third Manifesto once again for further clarification) To spell the point out: The physical representation for a circle could involve just a radius field, while the physical representation for an ellipse that s not a circle could involve a major semiaxis field and a minor semiaxis field The operators that return the major semiaxis and the minor semiaxis for type ELLIPSE will then have to be (trivially, and possibly automatically) reimplemented for type CIRCLE to return the radius that s all The remark about first normal form is a red herring First normal form applies to the design of relations (actually relation variables) Types are not relation variables.

I don t mean to seem too afronting, but it would appear the Circle as an Ellipse arguement as applied to a database paradigm means to leave us missing the forest for the trees .. Am I wrong Well, yes, I think the writer is wrong at least overall, though frankly I don t know what he or she is getting at by that talk of missing the forest for the trees Sorry about that..

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You have your checklist in hand, you are meeting with people every day, and you are slowly bringing your environment under control. As you meet more and more people, you find that they appear to be speaking in code; their use of acronyms is astounding. Even more astounding is that they expect you to understand the acronyms right from the start. This chapter will cover some of the technical basics you will be expected to be familiar with. After reading this chapter you should be more familiar with the acronyms you might be hearing frequently, such as RAID, SAN, HA, and DR, and even what DBA means to some people. TIP: No one person knows everything. Do not be afraid to tell someone that you have not heard of something that they are talking about. The best DBAs ask questions, even basic questions, to quench their thirst for knowledge. In this chapter we will discuss the following: 1. 2. 3. 4. 5. 6. 7. 8. RAID Storage area networks (SANs) High availability options Disaster recovery (DR) Why networks are like bathrooms The meaning of DBA Why you get all the blame How to politely be right

As mentioned, this specifies a default verbosity and the target that you want to have executed, but you can change this before every invocation if you choose. Also, if you d like to

Another commentator, KU, wrote to say that the article on circles and ellipses, and the ensuing debate, were at turns enlightening, provocative, and challenging. Well, many thanks! But KU then went on to propose a second representation [sic I don t really think representation, as such, is relevant to the matter at hand, but let that pass] of CIRCLE and ELLIPSE, as follows: In the real plane, take a line D and a point F not on D. Determine the locus of points P such that for every point in P, the distance [P,F] divided by the (tangential) distance [P,D] is a constant E. If E = 0, the locus of points P is a CIRCLE; if 0 < E < 1, then the locus of points is an ELLIPSE. Of course, I recognize what s going on here D is the directrix, F is the focus, and E is the eccentricity. Though I feel bound to add that: a. I think that parenthetical qualifier (tangential) is incorrect the distance in question is surely just the conventional straight-line distance between two points ( ). b. I also think it s slightly naughty of KU not to state explicitly that in the case of a circle the directrix is supposed to be at infinity.

Be that as it may, the key observation is that all we re really doing here is playing games with terminology The assertion that 0 < E < 1 defines an ellipse must be understood to mean, precisely, that 0 < E < 1 defines an ellipse that isn t a circle ! So what KU is calling an ellipse tout court is exactly what I would call, more specifically, a noncircular ellipse As an aside, I remark that I could (of course) have done the equivalent thing in terms of semiaxes a and b I mean, there s no need to drag in this stuff about eccentricity and the rest in order to make the point that KU is apparently trying to make To be specific, I could have defined type ELLIPSE to have a > b and type CIRCLE to have a = b.

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