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:
See my comments about A-A.
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
If you have a question related to validated computing, interval analysis, or related matters, I recommend