Mathematica's Interval Arithmetic is capable of handling the uncertainty in a rational manner
Questions tagged [intervals]
67 questions
12
votes
1 answer
How can I exclude endpoints of intervals?
I have list of intervals:
Jintervals = {Interval[{18.9, 21.}], Interval[{21., 23.1}]}
I need to exclude the endpoints - [18.9,21.), [21.,23.1)
Wrong -
IntervalMemberQ[Jintervals[[1]], 21]
(* True *)
IntervalMemberQ[Jintervals[[2]], 21]
(*…
xhF731
- 329
- 1
- 4
6
votes
2 answers
Union and Intersection of intervals
I have two sets $A = \{1 \leq x \leq 5\}$ and $B = \{5 \leq x \leq 8\}$. Now I want to find the Union and Intersection of $A$ and $B$.
I tried Union[A, B], I got {1 <= x <= 5, 5 <= x <= 8} and for Intersection[A, B], I got {}. The correct answer…
minthao_2011
- 4,503
- 3
- 31
- 46
5
votes
2 answers
Remove singleton from Interval
I am using operations over Interval and the result of an intersection (or union) contains some singletons. Would it be possible to remove them ?
Example:
Interval[
{2894486400, 2894486400},
{2894659200, 2894832000},
{2895004800, 2895004800},
…
Mammouth
- 481
- 2
- 9
4
votes
1 answer
How to turn intervals into coordinate pairs?
So for the function (x^3 + 2)/(x^4 + 1) I needed to find the values where it is increasing and decreasing. I used
Reduce[D[f[x], x] > 0, x] // N
to find where it is increasing. Then I used
Reduce[D[f[x], x] < 0, x] // N
to find where it is…
awild
- 51
- 1
4
votes
2 answers
Is there an analog of the `Complement` function for intervals?
I have two intervals:
i1 = Interval[{1,4}];
i2 = Interval[{2,3}];
I need a function that subtracts i2 from i1, returning:
Interval[{1,2},{3,4}]
In other words, is there an analog of the Complement function for intervals? And if not, how would one…
verse
- 1,287
- 6
- 18
3
votes
2 answers
Weird results with Intervals
Sorry for presumably another dumb question... But here we go:
Reduce[Sin[Cos[x]] == 0 && 0 <= x <= Pi/2, x]
(* x == Pi/2 *)
Yep. Nice.
So now, a seemingly equivalent statement:
Reduce[Sin[Cos[x]] == 0 && IntervalMemberQ[Interval[{0, Pi/2}], x],…
gaazkam
- 817
- 5
- 15
3
votes
4 answers
how do I can create a list of the first interval such as [-10+Sin [k], 10+Sin [K]]
A (k) =the closed interval [-10+Sin [k], 10+Sin [k]]
How do I can create a list of the first 20 of such interval
The find the intersection of the first 14 of them
mais
- 71
- 3
0
votes
1 answer
Finding the volume of a 10-dimensional cube
I need help with finding the volume of a 10-dimensional cube with a given interval: $1 \geq x \geq -1$. I tried to defined the function by: $a^2+b^2+c^2...j^2 \leq 1$ as the question required. I can not find the codes that works for this problem.…
Eda K
- 11
- 1