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Topic: dummy variable in Taylor error
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Geoff Hagopian

Posts: 174
Registered: 12/4/04
dummy variable in Taylor error
Posted: May 5, 1998 1:08 PM
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Hi all,

I've been working with bounding the Taylor error by integrating and I note that
it seems to be standard in many texts (including Hughes/Hallet) to write
something of the form int(f '(x),x,a,x) instead of int(f '(t),t,a,x); that is,
foregoing the "correct" practice of using a different (dummy) variable for
integration as opposed to the upper bound of integration.

The problem seems to be that with multiple integration you need a different
dummy variable at each stage, making the notation awkward.

Is there a better way? Does it matter? Is this a dumb question? Is there a
dummy answer?

PS Got a gut level, intuitive interpretation of the error you'd care to share?

Geoffh





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