interval arithmetic


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interval arithmetic

[′in·tər·vəl ə′rith·mə·tik]
(computer science)
A method of numeric computation in which each variable is specified as lying within some closed interval, and each arithmetic operation computes an interval containing all values that can result from operating on any numbers selected from the intervals associated with the operands. Also known as range arithmetic.
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Furthermore it is caused by the intrinsic wrapping effect of the interval arithmetic.
For more information on interval arithmetic, the reader is encouraged to consult [12].
Actually, interval arithmetic can not recognize the multiple occurrence of the same variable [x].
When interval arithmetic is implemented on a computer, the parameters defining the result interval are computed in floating point arithmetic from the parameters defining the interval operands.
Also, both extensions satisfy a property called inclusion monotonicity (given inputs, extension generates the widest possible bounds) which is similar to the extreme principle of interval arithmetic.
LIA INC++ Overloads C++ arithmetic into extended interval arithmetic.
Uncertainty analysis of indirect-grouping maintenance strategy using an interval arithmetic approach.
Furthermore, we suppose that an interval arithmetic evaluation f ([x]) on a given interval [x] exists.
Section 3 presents a brief introduction to interval arithmetic.
Along with traditional content they include material rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration and continued fractions.
To be able to perform fuzzy multiplication and addition with interval arithmetic and level of confidence [alpha] the equation (2) is transferred into: