Timeline for Maximal (minimal) value of $S=x_1^2x_2+x_2^2x_3+\cdots+x_{n-1}^2x_n+x_n^2x_1$ on condition that $x_1^2+x_2^2+\cdots+x_n^2=1$
Current License: CC BY-SA 4.0
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| Feb 9, 2021 at 9:49 | history | edited | Michael Rozenberg | CC BY-SA 4.0 |
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| Feb 8, 2021 at 17:54 | history | edited | Michael Rozenberg | CC BY-SA 4.0 |
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| Feb 8, 2021 at 17:40 | comment | added | user64494 |
Maximize[{x[1]^2*x[2] + x[2]^2*x[3] + x[3]^2*x[1], x[1]^2 + x[2]^2 + x[3]^2 == 1}, {x[1], x[2], x[3]}]//Simplify confirms it.
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| Feb 8, 2021 at 17:29 | history | edited | Michael Rozenberg | CC BY-SA 4.0 |
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| Feb 8, 2021 at 17:20 | history | answered | Michael Rozenberg | CC BY-SA 4.0 |