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When integrating 'sin(x)/x' between 0 and some other value, the expression is evaluating at 0, which causes a Divide by zero error.
On HP calculators, the problem does not exist. According to the HP15 Advanced Functions Handbook, this is achieved by doing a clever change of variable that also benefits in the case of periodic functions like sin because it turns the simple Romberg subdivision into a non-uniform one that minimizes aliasing effects.
When integrating
'sin(x)/x'
between0
and some other value, the expression is evaluating at0
, which causes aDivide by zero
error.On HP calculators, the problem does not exist. According to the HP15 Advanced Functions Handbook, this is achieved by doing a clever change of variable that also benefits in the case of periodic functions like
sin
because it turns the simple Romberg subdivision into a non-uniform one that minimizes aliasing effects.This improvement was described by Nigel in an HP Museum Forum thread.
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