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Ishaan94

  • 2 years ago

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

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  1. Ishaan94
    • 2 years ago
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    @mukushla

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

  3. Ishaan94
    • 2 years ago
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    I need to determine maximum of the function

  4. eliassaab
    • 2 years ago
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    Linear with respect to a

  5. eliassaab
    • 2 years ago
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    ?

  6. Ishaan94
    • 2 years ago
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    but I am confused a bit

  7. eliassaab
    • 2 years ago
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    This function does not seem to be linear.

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

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

  10. mukushla
    • 2 years ago
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    with respect to a not linear wrt to any of ai linear

  11. Ishaan94
    • 2 years ago
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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).

  12. Ishaan94
    • 2 years ago
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    i am sorry if i am asking stupid questions, i am just confused

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

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