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A proof for their equivalence ?

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A proof for their equivalence ?

Hello Everyone.

From :

A.PNGA proof for their equivalence ?

Thanks in advance.

Regards.

1 ACCEPTED SOLUTION

Accepted Solutions

Re: A proof for their equivalence ?

Same problem here.

Note that Mathcad, especially when graphing, will often use what's known as the 'principal' value: https://en.wikipedia.org/wiki/Principal_value.

So, while graphing two functions may appear to show that two functions are equal, it does not prove equality.

Once again: what's your definition of 'equivalence'?

 

Success!
Luc

4 REPLIES

Re: A proof for their equivalence ?

Note that I(x) results in pure real values, while II(x) results in multivalued and complex values.

Proof of equivalence depends on your definition of 'equivalence'. If it is other than 'equality' you may stand a chance.

 

Success!
Luc

Re: A proof for their equivalence ?

AA.PNG

Re: A proof for their equivalence ?

What purpose?

Re: A proof for their equivalence ?

Same problem here.

Note that Mathcad, especially when graphing, will often use what's known as the 'principal' value: https://en.wikipedia.org/wiki/Principal_value.

So, while graphing two functions may appear to show that two functions are equal, it does not prove equality.

Once again: what's your definition of 'equivalence'?

 

Success!
Luc