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Interval Arithmetic
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IntervalMemberQ
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Interval Arithmetic
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Interval
Interval
[{
min
,
max
}]
represents the range of values between
min
and
max
.
Interval
[{
min
1
,
max
1
}, {
min
2
,
max
2
},
...
]
represents the union of the ranges
min
1
to
max
1
,
min
2
to
max
2
,
...
.
MORE INFORMATION
You can perform arithmetic and other operations on
Interval
objects.
Min
[
interval
]
and
Max
[
interval
]
give the end points of an interval.
For approximate machine- or arbitrary-precision numbers
x
,
Interval
[
x
]
yields an interval reflecting the uncertainty in
x
.
In operations on intervals that involve approximate numbers,
Mathematica
always rounds lower limits down and upper limits up.
Interval
can be generated by functions such as
Limit
.
Relational operators such as
Equal
and
Less
yield explicit
True
or
False
results whenever they are given disjoint intervals.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Add intervals, getting an interval representing the result:
In[1]:=
Out[1]=
Indeterminate limits can give intervals:
In[1]:=
Out[1]=
Scope
(7)
Generalizations & Extensions
(1)
Applications
(3)
Properties & Relations
(1)
Possible Issues
(1)
SEE ALSO
Range
IntervalMemberQ
IntervalUnion
IntervalIntersection
Piecewise
TUTORIALS
Finding Limits
MORE ABOUT
Interval Arithmetic
New in 3
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 