- #1

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What is [itex]\xi[/itex] ?

In the above arc length formula with ##\xi##, what is ##\xi##?

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- Thread starter Kuhan
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- #1

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What is [itex]\xi[/itex] ?

In the above arc length formula with ##\xi##, what is ##\xi##?

- #2

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A variable. R' seems to be a function of [itex]\xi[/itex].

- #3

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I found this equation while studying vector calculus/ multivariable calculus. I was studying about binormal, tangent, normal, frenet frame, etc.

I just don't understand ##\xi## because the variables usually involved were t and s

- #4

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[itex]\xi[/itex] is just a mute variable. You can't use t inside the integral because t is used on the boundary of the interval. So [itex]\xi[/itex] is just a normal variable.

- #5

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I just don't understand ##\xi## because the variables usually involved were t and s

t and s are just letters. You can denote a variable by whatever symbol you want.

- #6

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I guess ##\xi## is just t, because the integral is from ##t_0## to ##t## so it just has to be t in the sense that it represents time...

I just found it confusing why he suddenly put ##\xi## when all along he was talking about t, s, velocity, binormal, and Frenet frames of vectors

Thanks now I understand !

Last edited:

- #7

cepheid

Staff Emeritus

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R and s are both functions of time, but s is defined in terms of an integral, and represents the

http://mathworld.wolfram.com/DummyVariable.html

EDIT: Thread title fixed

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