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R. B. Kearfott. Algorithm 763: INTERVAL ARITHMETIC --- a Fortran 90 module for an interval data type. ACM Transactions on Mathematical Software, 22(4):385--392, 1996.

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Reasoning About Linear Circuits In Sinusoidal Steady State - Romero (1997)   (Correct)

....propagation with interval labels, presented a good survey including expressions for complexity of constraint propagation, languages used at the time, and several examples. Still, none of the examples he presents include anything similar to the methods developed in this chapter. R. Baker Keafott [25] presents an implementation of an interval abstract data type. Our complex fan ADT relies on a complex interval ADT; their implementation is more general, since it is aimed for a more general use, our is more 67 limited in the number of functions but it works with intervals with symbolic limits ....

....( variables (value W 60) variables (value VS2 100) variables (value L [0.5, 1.5 ] variables (value R1 [15, 20 ] variables (value C [0.002, 0. 003 ] variables (value R2 [20, 30 ] Result: variables (value VV 100) variables (value ZL ( 6, 120] 6 90) variables (value ZR1 [5, 25]) Delta Delta Delta (variables (value VL ( 60.238, 191.722] 6 [10.247, 54.149] Delta Delta Delta (variables (value IC ( 0.474, 6.249] 6 [290.739, 346.769] variables (value IR2 ( 0.131, 2.603] 6 [200.739, 256.769] variables (value IP1 ( 1.107, 4.425] 6 [280.247, ....

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R. Baker Kearfott. Algorithm 763: Interval arithmetic: A fortran 90 module for an interval data type. Transcation on Mathematical Software, 22(4):385--392, 1996.


Self-Validated Numerical Methods - And Applications Instituto   (Correct)

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R. B. Kearfott. Algorithm 763: INTERVAL ARITHMETIC --- a Fortran 90 module for an interval data type. ACM Transactions on Mathematical Software, 22(4):385--392, 1996.


An Introduction to Affine Arithmetic - Stolfi, de Figueiredo (2003)   (Correct)

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R. Baker Kearfott, Algorithm 763: INTERVAL ARITHMETIC --- A Fortran 90 module for an interval data type, ACM Transactions on Mathematical Software, 22, No. 4 (1996), 385--392.

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