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Next: 3.3.22 Binary Functions: Two-Step Method Up: 3.3 Linear Interval Arithmetic Previous: 3.3.20 Bumpy Functions

3.3.21 Examples with Bumpy Functions

Let the domain description set include tex2html_wrap_inline36715 :  

math21295

We will evaluate a tex2html_wrap_inline36693 model of the multiplicative inverse: let tex2html_wrap_inline33647 . The evaluation of tex2html_wrap_inline36721 ,

math21302

proceeds as follows:

math21309

One's intuition of the preceding evaluation may be developed by careful scrutiny of the following figures.

figure21362

We will evaluate a tex2html_wrap_inline36693 model of absolute value: let g(x) = |x|. The evaluation of tex2html_wrap_inline36721 ,

math21857

proceeds as follows:

math21864

Perusal of the following figures may cultivate the reader's appreciation of the preceding evaluation.

figure21909


next up previous notation contents
Next: 3.3.22 Binary Functions: Two-Step Method Up: 3.3 Linear Interval Arithmetic Previous: 3.3.20 Bumpy Functions
Jeff TupperMarch 1996