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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 \(a_1,a_2, \ldots, a_n \in \left[0,a\right]\).

  • one year ago
  • one year ago

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  1. Ishaan94
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    @mukushla

    • one year ago
  2. Ishaan94
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    \(a\) is any positive integer.

    • one year ago
  3. Ishaan94
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    I need to determine maximum of the function

    • one year ago
  4. eliassaab
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    Linear with respect to a

    • one year ago
  5. eliassaab
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    ?

    • one year ago
  6. Ishaan94
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    but I am confused a bit

    • one year ago
  7. eliassaab
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    This function does not seem to be linear.

    • one year ago
  8. Ishaan94
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    If it's linear it will be maximum at end points right?

    • one year ago
  9. Ishaan94
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    does not. hmm but in the book it says it is and i am confused.

    • one year ago
  10. mukushla
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    with respect to a not linear wrt to any of ai linear

    • one year ago
  11. Ishaan94
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    if some function were xy + y + x, would it still be linear? y and x are variables. or (a-y)(a-x).

    • one year ago
  12. Ishaan94
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    i am sorry if i am asking stupid questions, i am just confused

    • one year ago
  13. mukushla
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    for function xy + y + x if u fix y(for example) function will be linear wrt x

    • one year ago
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