Ishaan94
Is this function linear?
\[\sum_{k=1}^{n}\left(a - a_1\right)\cdot\left(a-a_2\right)\cdots\left(a-a_n\right)\]
Where \(a_1,a_2, \ldots, a_n \in \left[0,a\right]\).
Delete
Share
This Question is Closed
Ishaan94
Best Response
You've already chosen the best response.
0
@mukushla
Ishaan94
Best Response
You've already chosen the best response.
0
\(a\) is any positive integer.
Ishaan94
Best Response
You've already chosen the best response.
0
I need to determine maximum of the function
eliassaab
Best Response
You've already chosen the best response.
0
Linear with respect to a
eliassaab
Best Response
You've already chosen the best response.
0
?
Ishaan94
Best Response
You've already chosen the best response.
0
but I am confused a bit
eliassaab
Best Response
You've already chosen the best response.
0
This function does not seem to be linear.
Ishaan94
Best Response
You've already chosen the best response.
0
If it's linear it will be maximum at end points right?
Ishaan94
Best Response
You've already chosen the best response.
0
does not. hmm but in the book it says it is and i am confused.
mukushla
Best Response
You've already chosen the best response.
2
with respect to a not linear
wrt to any of ai linear
Ishaan94
Best Response
You've already chosen the best response.
0
if some function were xy + y + x, would it still be linear? y and x are variables. or (a-y)(a-x).
Ishaan94
Best Response
You've already chosen the best response.
0
i am sorry if i am asking stupid questions, i am just confused
mukushla
Best Response
You've already chosen the best response.
2
for function xy + y + x if u fix y(for example) function will be linear wrt x