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But it may still be possible to extend functions to interval arithmetic.
Its authors are aiming to have interval arithmetic in the standard C++ language.
He had the idea in Spring 1958, and a year later he published an article about computer interval arithmetic.
Interval arithmetic states the range of possible outcomes explicitly.
The so-called dependency problem is a major obstacle to the application of interval arithmetic.
Most of them are based on interval arithmetic.
Interval arithmetic is still used to determine rounding errors.
There are many software packages that permit the development of numerical applications using interval arithmetic.
This makes time interval arithmetic much easier.
Interval arithmetic is used with error analysis, to control rounding errors arising from each calculation.
Interval arithmetic is not a completely new phenomenon in mathematics; it has appeared several times under different names in the course of history.
Division by an interval containing zero is not defined under the basic interval arithmetic.
The Frink programming language has an implementation of interval arithmetic which can handle arbitrary-precision numbers.
This plus interval arithmetic combined with Newton's method yields robust and fast algorithms.
The principle is to evaluate f(x) using interval arithmetic (this is the forward step).
This integration method can be combined with interval arithmetic to produce computer proofs and verified calculations.
Directed rounding was intended as an aid with checking error bounds, for instance in interval arithmetic.
Applications that require a bounded error are multi-precision floating-point, and interval arithmetic.
For an alternative see interval arithmetic.
Interval arithmetic also helps find reliable and guaranteed solutions to equations and optimization problems.
For most purposes, Monte Carlo is more useful than interval arithmetic .
An application of this principle is the notion of sub-distributivity as explained in the article on interval arithmetic.
Interval arithmetic can be used to easily calculate the total possible error of an inexact arithmetic system.
Interval arithmetic is trickier in than in .
Work is starting in 2008 on a proposed IEEE standard for interval arithmetic.