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

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Plot multiple functions with different but overlapping intervals

Suppose I numerically solve a differential equation by using sol = ParametricNDSolve[{y'[x] == b y[x], y[0] == 1}, y, {x, 0, 0.3}, {b}] And then I want to plot ...
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1answer
38 views

Interval arithmetic for DawsonF (or other special functions)

I am currently trying to estimate a complicated expression involving DawsonF using interval arithmetic. The interval arithmetic is partially supported by ...
3
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2answers
80 views

Interval notation for NumberLinePlot

Consider: NumberLinePlot[Abs[3 - 4 x] < 2, x, PlotStyle -> {Thick, Blue, PointSize[Large]}, Ticks -> {Range[0, 1.5, .25]}] Which produces this image: ...
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Interval calculations in wolfram mathematica

If x = Interval[-100,100], then obviously x^2 + x = Interval[-0.25,10100], because as we know, ...
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2answers
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Solving for intervals without using NumberLinePlot

I've been struggling to find a way to find an interval solution to an equation/inequality. I know mathematica can do this since for example, ...
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1answer
102 views

Why doesn't Rationalize work for 0. in Interval?

Same motivation as this q. Why doesn't Rationalize work for 0.? Interval[{0., 1.}] // Map[Rationalize, #, {2}] & ...
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Interval Arithmetic with Symbolic Intervals

I've run into a problem with IntervalUnion and IntervalIntersection when dealing with symbolic intervals. The following code ...
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0answers
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How do I simplify Interval[{x,x}] to x? [duplicate]

How do I simplify Interval[{x,x}] to x ? Simplify and ...
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1answer
44 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. ...
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1answer
53 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 ...
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1answer
159 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
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1answer
278 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
105 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: ...
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2answers
273 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"}), ...
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2answers
249 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: ...
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1answer
158 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
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4answers
114 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
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2answers
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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 ...
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2answers
722 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 ...
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3answers
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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 ...
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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 $A$ ...