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# Interval FAQ Examples of interval arithmetic -- Is [A] - [A] = 0?

## Examples of Interval Arithmetic

For interval numbers A = [1, 2], B = [1, 2]
A - A = 0?

Response by R. Baker Kearfott:
It depends on how you interpret the above. If interval arithmetic is meant to give bounds on the range, then you can simplify the expression symbolically to 0. However, if the subtraction is done using the basic rules of interval arithmetic, then A-A gives the same result as A-B, leading to the well-known phenomenon of "overestimation"

A - B = [-1, 1]?

Response by R. Baker Kearfott:
Yes

A / A = 1?

Response by R. Baker Kearfott:

A / B = [0.5, 2]?

Response by R. Baker Kearfott:
YEs

For interval numbers A = [1, 2], B = [1, 2]
A - A = 0?

Response by R. Baker Kearfott:

Baker

[ Marquette | MSCS | Corliss | Vladik's Intervals ]
Interval FAQ: [ Entry page | Contents | Search ]
About Sun's f95 with Interval Support

If you have a question related to validated computing, interval analysis, or related matters, I recommend

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