I Boas's definition of first variation

AI Thread Summary
The discussion centers on the first variation of I as presented in two different sources, with Boas stating δI = dI/dε * dε and another source suggesting δI = dI/dε * ε. There is confusion regarding the accuracy of these equations and the interpretation of the variables involved. A participant clarifies that Mary L. Boas is the author of the first document, correcting a gender misconception. Additionally, they assert that the second document does not support the alternative equation presented, as its content is consistent with Boas's explanation. The debate highlights the importance of accurate interpretation of mathematical variations in engineering contexts.
sgh1324
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http://www.utdallas.edu/~pervin/ENGR3300/Boaz.pdf

see page 493

he said that first variation of I is

δI = dI/dε * dε

http://www.colorado.edu/ASEN/asen5227_offline/slides/292-334.pdf

but this pdf said (see page 309) that first variation of I is

δI = dI/dε * ε
(y and I commute, α and ε commute)

who is right??
 
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sgh1324 said:
http://www.utdallas.edu/~pervin/ENGR3300/Boaz.pdf

see page 493

he said that first variation of I is

δI = dI/dε * dε

http://www.colorado.edu/ASEN/asen5227_offline/slides/292-334.pdf

but this pdf said (see page 309) that first variation of I is

δI = dI/dε * ε
(y and I commute, α and ε commute)

who is right??

First of all, "Boas" is "Mary L. Boas". So it is a "she", not a "he".

Secondly, I don't see anything resembling what you said on the 2nd document on Pg. 309. In fact, the pages leading up to 309, and pages after that are consistent with what was described on Boas's text.

Zz.
 
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