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Next: 2.11.5 Simplicity Up: 2.11 Interval Function Domains Previous: 2.11.3 Domain Descriptions

2.11.4 Conjunctions

A variation of tex2html_wrap_inline33283 is the number system   tex2html_wrap_inline33313 :

math8496

The number system tex2html_wrap_inline33327 generalizes the number system tex2html_wrap_inline33329 by allowing a set of constraints to describe an interval's domain. Each interval tex2html_wrap_inline33331 can be described by a value tex2html_wrap_inline33183 and a set of domain constraints tex2html_wrap_inline33335 , with tex2html_wrap_inline33337 and tex2html_wrap_inline33295 .

Parameter value tex2html_wrap_inline33161 is in the domain of interval tex2html_wrap_inline33343 if

math8504

The definitions of interval inclusion and interval extension are written as before, but with the new semantics behind parameter inclusion. The demotions tex2html_wrap_inline33345 and tex2html_wrap_inline33347 demote from tex2html_wrap_inline33349 to tex2html_wrap_inline33351 . As before, tex2html_wrap_inline33353 and tex2html_wrap_inline33347 must preserve domain classifications.

The implementation of models is simpler in tex2html_wrap_inline33357 than in tex2html_wrap_inline33359 . A description of a simple implementation of a model tex2html_wrap_inline33361 , of function tex2html_wrap_inline33363 , follows.


next up previous notation contents
Next: 2.11.5 Simplicity Up: 2.11 Interval Function Domains Previous: 2.11.3 Domain Descriptions
Jeff TupperMarch 1996