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/sci/ - Science & Math

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4460306

Anonymous Tue Mar 13 00:21:23 2012 No.4460306 [Reply] [Original]

How to find absolute maxima and minima without the use of calculus?

>>	Anonymous Tue Mar 13 00:22:30 2012 No.4460309 you plot the function, assuming you are given end points.

>>	Anonymous Tue Mar 13 00:23:39 2012 No.4460312 >>4460309 Let's assume that you have to use algebraic computation

>>	Anonymous Tue Mar 13 00:24:46 2012 No.4460315 Graphical analysis to find points, demonstrate algebraically.

>>	Anonymous Tue Mar 13 00:26:54 2012 No.4460321 >>4460315 Let's assume that the function is parabolic, and that you can only use algebraic computation.

>>	Anonymous Tue Mar 13 00:34:50 2012 No.4460342 What's the function?

>>	Anonymous Tue Mar 13 00:36:06 2012 No.4460347 >>4460321 >Let's assume that the function is parabolic You mean quadratic? The problem is trivial if so, so I'm assuming you're either stupid or not making yourself clear.

>>	Anonymous Tue Mar 13 00:38:22 2012 No.4460352 isn't this the purpose of hill-climbing algorithms? or algorithmic approaches for problems with non-closed form solutions?

>>	Anonymous Tue Mar 13 00:38:22 2012 No.4460353 Quadratic: Find both roots. Go halfway between roots. Is the function positive? Go straight up and max. Is the function negative? Go straight down and min. Alternately look up the equation for the vertex of a parabola. This is not hard.