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Channel: Comments on: Extended set theory, aka “What is a tuple anyway?”
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By: D L Childs

Curt: I’m not sure I understand your questions which seem to imply that an application has the ability to dictate performance directives to the underlying system data provider. This only makes sense if...

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By: Curt Monash

David, In an ideal world, computer systems would be designed to give great performance for any or all of the applications they are logically capable of running, with no user optimization needed,...

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By: D L Childs

Curt: I don’t understand your last posting, but on rereading you questions and applying them to the middle level component of a three tiered architecture (APP-PRO-STO each component separated by a data...

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By: Curt Monash

David, And now back to my original post. If we define a tuple as a set of ordered pairs, a relational tuple as a set of ordered pairs in which each of the first elements is unique, and a relational...

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By: D L Childs

Curt: If your definitions work for your purposes, then that is all that matters. In order to answer if they will work for my purposes, I will need answers to the following questions: 1) What base...

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By: Curt Monash

1) What base collection of axioms are you using: ZFC, Quine, NBG, other? Anything compatible with elementary-school textbooks. 2) What is the set-membership of your “set of ordered pairs”: Kuratowski,...

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By: D L Childs

Curt: We seem to have different requirements for properties of n-tuples. Tuples were introduced in set theory to support the concept of a function, f(a)=b. This required a notation (with a proper...

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By: Curt Monash

You’re right, David. I’m dropping the notion of order because it’s inessential for database work. Interestingly, columnar database architectures laugh at the notion of order. And just about every...

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By: Ken North

> I’m dropping the notion of order because it’s inessential for database work. Preserving order is essential when a database is used to store XML documents.

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By: Curt Monash

@Ken, What examples do you have in mind? I see your point as being more obvious for full-text (enhanced by XML) than for pure XML use cases.

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