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20-Turquoise

## A proof for their equivalence ?

Hello Everyone.

From :

A proof for their equivalence ?

Regards.

1 ACCEPTED SOLUTION

Accepted Solutions
23-Emerald III
(To:lvl107)

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 4
23-Emerald III
(To:lvl107)

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

20-Turquoise
(To:lvl107)

23-Emerald I
(To:lvl107)

What purpose?

23-Emerald III
(To:lvl107)

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

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