Boas's definition of first variation

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The discussion centers on the definition of the first variation of I as presented by Mary L. Boas in her text. Boas defines the first variation as δI = dI/dε * dε, as noted on page 493 of her book. In contrast, another source claims it is δI = dI/dε * ε, found on page 309 of a different PDF. However, the consensus among participants is that Boas's definition is correct, as the alternative source lacks consistency with its surrounding content.

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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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