Mathematica's Interval Arithmetic is capable of handling the uncertainty in a rational manner

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3
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0answers
44 views

Interval Arithmetic with Symbolic Intervals

I've run into a problem with IntervalUnion and IntervalIntersection when dealing with symbolic intervals. The following code ...
0
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0answers
46 views

How to code a For-loop within Interval correctly?

Help me please to write a For-loop correctly. I've implemented the 1-st step of an algorithm and finally it outputs two intervals: ...
1
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1answer
41 views

Weird results with Intervals

Sorry for presumably another dumb question... But here we go: In[1]:= Reduce[Sin[Cos[x]] == 0 && 0 <= x <= Pi/2, x] Out[1]= x == Pi/2 Yep. Nice. ...
0
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1answer
37 views

Fine precision control in IntervalSlider

I would like to develop a simple slider for exploring a wide range of intervals on the real line. Is it possible to get the MinimalSize of IntervalSlider to work ...
1
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1answer
110 views

How do you graph the confidence intervals that results from a GARCH over a time series?

Please, does someone know how to draw a confidence intervals (from the results of a GARCH (1,1)) in a way similar to these: *Asume an ARMA(1,1) fit the time series. Thank you very much
2
votes
1answer
232 views

How can I plot a circular region and lines?

I am having difficulty plotting something along these lines in Mathematica. I will explain what is going on here. Basically, I am solving an interval equation $ax=b$, in the first example $a = [1, ...
4
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2answers
100 views

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: ...
6
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2answers
220 views

Intersection of lists of disjoint intervals

Here is my problem: I have two very large lists of intervals (stored as many couples in the form {{"start point", "end point"}, ..., {"start point", "end point"}), ...
-2
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1answer
478 views

Plot various functions in different intervals [closed]

I need to do some really easy in WolfarmAlpha online. I want to to plot 2x for {1 to 3} and ...
1
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2answers
236 views

A fast way to compare interval

I have a list of intervall. Some of these intervals are disjoint, some are overlapped and some are included in others. To leave no ambiguity about my explanation, you can see the following examples: ...
1
vote
1answer
105 views

How do assign an interval of values to a variable in order to use them in a function?

From my code (below) I have K1 and K2 set to zero in order to test this numerical method. However, K1 is on an interval from 0 to 32, and K2 is on an interval from 0 to 8. I would like to know if ...
3
votes
4answers
110 views

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
3
votes
2answers
318 views

Converting inequalities to intervals

I have an inequality, ie: 1.57116 < g < 14.1405 There will be a large set of similar inequalities, and I want to find the intersection of them all. I figured it would be easier to convert the ...
2
votes
2answers
612 views

How to plot function over interval returned by Reduce[]

Let $f(x) = (x^2 + 1) / x$. I need to plot the function for the values of $x$ in which the square of the function is larger than 4, and its cube is smaller than 64. So I used ...
19
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3answers
1k views

Can Mathematica Handle Open Intervals? Interval complements?

Open Intervals Following up on this question, I was wondering whether Mma can handle open intervals. For example, the union of the intervals, $$1<x<5$$ and $$5<x<8$$ should not ...
2
votes
1answer
1k views

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 $A$ ...