# Tagged Questions

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

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### 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 ...
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### Interval arithmetics and complex numbers

I am trying to do some simple calculations for a computer assisted proof and since they are not too demanding I thought of using Mathematica. I seems that Mathematica is great for interval ...
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### Average function value over an Interval [closed]

What is the best way to find the average value of a function over a specific interval in Mathematica? I can not figure it out. I have two points on the interval and need to find the average value.
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### 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 ...
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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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### 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 - <...
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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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### 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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### 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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### 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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### 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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### 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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### 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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### 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
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 ...