Truncation decimal number

These errors occur when your script is run on a particular set of data. They typically occur when the result of some operation leads to NaN (not a number), Inf (infinity), or an empty array. For example, the fraction 1/3 is a non-terminating decimal number to exactly represent this fraction, the trailing number three (3) should indefinitely follow the decimal point (0.333...333...333). However, depending on the number of significant figures fSec. 3.5.11 to retain after the decimal point, the error, resulting from the truncation and/or round-off step, may affect the following computational steps that will utilize this cosmetically modified number and may result in some sort of numerical instability. 

Rounding up or rounding down the decimal part of a number to a given number of decimal places is achieved by some generally accepted rules. The number is first truncated to the required number of decimal places, in the manner described above attention is then focused on the tail (see above) ... 

The accuracy of low-dimensional models derived using the L S method has been tested for isothermal tubular reactors for specific kinetics by comparing the solution of the full CDR equation [Eq. (117)] with that of the averaged models (Chakraborty and Balakotaiah, 2002a). For example, for the case of a single second order reaction, the two-mode model predicts the exit conversion to three decimal accuracy when for (j>2(— pDa) 1, and the maximum error is below 6% for 4>2 20, where 2(= pDd) is the local Damkohler number of the reaction. Such accuracy tests have also been performed for competitive-consecutive reaction schemes and the truncated two-mode models have been found to be very accurate within their region of convergence (discussed below). 

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