## Ishaan94 Group Title 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 $$a_1,a_2, \ldots, a_n \in \left[0,a\right]$$. 2 years ago 2 years ago

1. Ishaan94 Group Title

@mukushla

2. Ishaan94 Group Title

$$a$$ is any positive integer.

3. Ishaan94 Group Title

I need to determine maximum of the function

4. eliassaab Group Title

Linear with respect to a

5. eliassaab Group Title

?

6. Ishaan94 Group Title

but I am confused a bit

7. eliassaab Group Title

This function does not seem to be linear.

8. Ishaan94 Group Title

If it's linear it will be maximum at end points right?

9. Ishaan94 Group Title

does not. hmm but in the book it says it is and i am confused.

10. mukushla Group Title

with respect to a not linear wrt to any of ai linear

11. Ishaan94 Group Title

if some function were xy + y + x, would it still be linear? y and x are variables. or (a-y)(a-x).

12. Ishaan94 Group Title

i am sorry if i am asking stupid questions, i am just confused

13. mukushla Group Title

for function xy + y + x if u fix y(for example) function will be linear wrt x