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Vector valued scalar function?

Hi (again!)

In the notes my lecturer has given us for line integrals over scalar fields, he talks about "vector valued scalar functions" .

To me this seems contradictory;
I thought a vector valued function was a function taking in either a vector or scalar and outputting a vector, and I thought a scalar function was something outputting a scalar?

Which of these definitions is wrong?
I'm terribly confused and would greatly appreciate any clarification!
Reply 1
Original post by marinaelise
Hi (again!)

In the notes my lecturer has given us for line integrals over scalar fields, he talks about "vector valued scalar functions" .

To me this seems contradictory;
I thought a vector valued function was a function taking in either a vector or scalar and outputting a vector, and I thought a scalar function was something outputting a scalar?

Which of these definitions is wrong?
I'm terribly confused and would greatly appreciate any clarification!


Which function was it? I presume its a function taking in a scalar and outputting a vector.
What you have written is correct.

Only thing I can think of is a vector valued function whose input is a scalar, but the terminology would be nonstandard.
Reply 3
Original post by mqb2766
Which function was it? I presume its a function taking in a scalar and outputting a vector.

it was actually a function taking a vector outputting a scalar, which makes me wonder if its a mistake
Reply 4
Original post by marinaelise
it was actually a function taking a vector outputting a scalar, which makes me wonder if its a mistake

Vector valued generally means the reverse. Why not ask the lecturer?
Reply 5
Original post by mqb2766
Vector valued generally means the reverse. Why not ask the lecturer?

I don't want to be the one who points out mistakes in his notes :frown: I guess I don't make a habit of it I'll do that :smile:
Original post by marinaelise
I don't want to be the one who points out mistakes in his notes :frown: I guess I don't make a habit of it I'll do that :smile:


Just ask! Think of it as doing your future classmates a favour by clearing up some confusion :smile:
Reply 7
Original post by RDKGames
Just ask! Think of it as doing your future classmates a favour by clearing up some confusion :smile:

haha :h:, a nice way to put it!

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