Questions tagged [interval-arithmetic]

Interval arithmetic is the arithmetic of quantities that lie within specified ranges (i.e., intervals) instead of having definite known values.

Interval arithmetic is the arithmetic of quantities that lie within specified ranges (i.e., intervals) instead of having definite known values.

This concept is suitable for a variety of purposes. The most common use is to keep track of and handle rounding errors directly during the calculation and of uncertainties in the knowledge of the exact values of physical and technical parameters. The latter often arise from measurement errors and tolerances for components or due to limits on computational accuracy. Interval arithmetic also helps find reliable and guaranteed solutions to equations and optimization problems.

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Why is $\left( -a,a \right)$ equal to $|x| < a$

I have a problem understanding the equality of an open Interval as given $\left( -a,a \right) = \{x \in R | -a< x< a\}$ to say $|x| < a$.. Maybe someone can get me intuitive to understand that?
rst_tk
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How are positive intervals calculated?

Give these equations $N=p^4-p^3+161*p$ $N+(n/2)^2=M^2$ $p*(p+n)=161$ How to calculate the intervals in which $n>0$ and $p>0$ and $M>0$ and $N>0$ ? $n$ and $N$ and $p$ and $M$ not imaginary
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Meaning of a bracket facing not the interval

What does it mean by $]a,b]$ ? And what is the notation called? First time to for me to see this expression and I cannot get the meaning
abc
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Silly question on range calculation

A few days ago when I was driving, I noticed my car's odometer was about to hit 99,900 miles (my odometer ONLY shows an integer, no decimal points; while my trip meter always gives 1 decimal point). So I asked myself, at some points of time in the…
user28763
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meaning of multi-interval

According to the following definition, a multi-interval is just a line segment for n=1, a square region for n=2, a cubic for n=3, and so on so forth, correct?
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Someone can explain this interval?

I know that $ | a | < b$ it is a interval, where $ a $ and $ b $ is an generic expression, but how i can understand this? I want to transform this on the interval like this $ a < b < -a $ (or something like this) but i don't have idea how to make…
Matheus
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Intervals and arithmetic

Is it mathematically right to write intervals in equations? For example is it right to write this: $[a_{1};b_{1}] = \frac{[a_{0};b_{0}]}{2}$
Hugh
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Difference Between Interval Notations

What is the difference, if any, between $x \in {(1,3)}$ and $1
Petra
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