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2.9.4 Constant Intervals

The original interval arithmetic tex2html_wrap_inline32517 can now be viewed as constant interval arithmetic, where the lower and upper function bounds are constants:

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There is an injective mapping tex2html_wrap_inline32965 ,

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With the operators defined via interval extension, the mapping tex2html_wrap_inline32967 is a homomorphism from tex2html_wrap_inline32653 to tex2html_wrap_inline32891 . There is a similar mapping tex2html_wrap_inline32973 from tex2html_wrap_inline32517 to tex2html_wrap_inline32893 .


next up previous notation contents
Next: 2.9.5 Quadratic Intervals Up: 2.9 Generalized Interval Arithmetic Previous: 2.9.3 Linear Intervals
Jeff TupperMarch 1996