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#1 2007-10-27 22:31:18
- luca-deltodesco
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integrals in the case of ∫ f'(x)/f(x) dx = ln|f(x)|+C
the rule is that:
is this only true for reals, or for complex functions aswell. If so does the absolute then refer to the modulus. my intuition says no.
is the absolute perhaps just a convention for dealing with reals, so that this does apply to complex functions aswell, but we dont include the bars since complex logarithm deals with negatives fine? What of the multivalued nature of the complex logarithm, does that come into play aswell?
Last edited by luca-deltodesco (2007-10-27 22:32:00)
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#2 2007-10-29 05:22:51
- George,Y
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Re: integrals in the case of ∫ f'(x)/f(x) dx = ln|f(x)|+C
I remember the negative case was proven seperately and then the conclusion of absolute value comes.
X'(y-Xβ)=0
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#3 2007-10-29 05:26:53
- luca-deltodesco
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Re: integrals in the case of ∫ f'(x)/f(x) dx = ln|f(x)|+C
how about complex functions then?
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