11 votes
Accepted

Max of imported numerical data will not work

Proper Input of file and checking the list Make sure that the variable list does contain your file inputs and make sure that Mathematica correctly understands your ...
gwr's user avatar
  • 13.5k
10 votes

Finding the smallest function and the domain on which it is smallest

PiecewiseExpand[Min[{x, x^2, 4 - x}]] (* 4-x if x>=2 x if 1<=x<2 || x<=0 x^2 otherwise *)
Roman's user avatar
  • 47.5k
10 votes
Accepted

Is it possible to ask Mathematica to give the maximum value of a function over a specific domain?

NMaximize[{f[n], 1 <= n <= 10^6, n ∈ Integers}, n] (* Out: {63.041, {n -> 2}} *) You can then get the corresponding symbolic function value using your ...
MarcoB's user avatar
  • 67.2k
9 votes
Accepted

MaximalBy[#, "votes"] & not equal to MaximalBy["votes"]?

Generally, fun in MaximalBy[fun] or MaximalBy[list, fun] must be a function. But <...
Szabolcs's user avatar
  • 235k
9 votes

How can I mark the maximum value in a plot?

f[x_] := im[0.1 10, 1 10, 1000, 0.1 10, 0.000001 10, x, 0.1 10]; 1. An alternative way to use MeshFunctions: ...
kglr's user avatar
  • 395k
8 votes
Accepted

Get envelope of a set of functions?

Michael E2 is correct in that Max is remarkably capable with functions as well as values. Defining ...
Quantum_Oli's user avatar
  • 7,964
8 votes

Find the max value of $f(x,y)= 9\ln(x^2+2y^2+1)-x^2-y^2$

If I understand correctly, you want to maximize the following expression: obj = 9 Log[x^2 + 2y^2 + 1] - x^2 - y^2; subject to the constraint that ...
Carl Woll's user avatar
  • 131k
7 votes

Finding maximum value of a discrete function

f[N2_, N3_] := 20*Log[20] - N2*Log[N2] - N3*Log[N3] - (20 - N2 - N3)*Log[20 - N2 - N3]; For the continuous function ...
Bob Hanlon's user avatar
  • 158k
7 votes
Accepted

How can I get exact maximal value of this expression?

Writing: ...
πρόσεχε's user avatar
7 votes

How can I get exact maximal value of this expression?

I don't know why Maximize is unable to find the maximum. Instead of using Maximize, you could try using Lagrange multipliers. To ...
Carl Woll's user avatar
  • 131k
7 votes

How can I mark the maximum value in a plot?

You may e.g. use "NMaximize" and "Epilog" like: ...
Daniel Huber's user avatar
  • 51.7k
7 votes

Find the minimum & maximum and plot it with the mean data

Transpose all of the data lists ...
Bob Hanlon's user avatar
  • 158k
7 votes
Accepted

How can I find the maximal value of this?

...
cvgmt's user avatar
  • 72.7k
6 votes

Finding maximum value of a discrete function

Just a brute force approach: ...
ubpdqn's user avatar
  • 60.7k
6 votes

List of critical points

I would use MaxValue in combination with Solve: ...
Carl Woll's user avatar
  • 131k
6 votes

Find the max value of $f(x,y)= 9\ln(x^2+2y^2+1)-x^2-y^2$

As mentioned by kirma in a comment to Carl Woll's answer, the maximum depends on whether you are defining the function as being on a Circle or on a ...
Bob Hanlon's user avatar
  • 158k
6 votes

Optimising the Selection of MaxValue in Association

Maybe you can use Reduce instead of MaxValue. For instance, the "vanilla:veal" rational function is: ...
Carl Woll's user avatar
  • 131k
6 votes
Accepted

Finding the smallest function and the domain on which it is smallest

There is a very recent addition to the Wolfram Function Repository that can be utilized here. ...
6 votes

Maximization of a concave function with contraints in the arguments

If I correctly understand the question, Maximize does the job in 13.1 on Windows 10: ...
user64494's user avatar
  • 26.3k
6 votes

Polynomial approximation of max function

Limit[x LogisticSigmoid[k x], k -> Infinity] gives ConditionalExpression[x, x > 0] so give a large ...
flinty's user avatar
  • 25.3k
6 votes

Getting an exact value from FindMinimum

...
Syed's user avatar
  • 53.6k
6 votes

NMaxValue - function is not a real number

If you plot your function F[z] Plot[F[z], {z, -0.7, 1}] you can see that the max is somewhere near -0.25. Since your function becomes complex valued at around -0.6,...
bill s's user avatar
  • 69k
6 votes

Is it possible to ask Mathematica to obtain the function describing the upper and lower boundaries of a combinations of functions?

Something like: ...
Daniel Huber's user avatar
  • 51.7k
5 votes
Accepted

Maximization of a function over a discrete set

This? Last[SortBy[Map[{f@@#, #}&, Tuples[{setx, sety, setz}]], First]] The Tuples will give you all combinations, the ...
Bill's user avatar
  • 12k
5 votes
Accepted

Finding all the local minima from a noisy data plot

Try: ...
Josh Bishop's user avatar
5 votes
Accepted

Find maximum of the output from reduce

Let the large result of Reduce be rs. Then the maximum of each quantity is determined by ...
bbgodfrey's user avatar
  • 61.5k
5 votes
Accepted

NMaximize is not converging to a solution

Rationalize the constraint: ...
Bob Hanlon's user avatar
  • 158k
5 votes

Plot maximum value of a function of three variables

I might be misinterpreting the question, but it seems like the OP is asking for a 2-D representation (t vs. the maximum of f over the whole domain). ...
MelaGo's user avatar
  • 8,606
5 votes

Optimising the Selection of MaxValue in Association

The following is not the exact filter that you want, but a simple prefilter that apparently is quite good at filtering the given example ;) The point is that this check is much cheaper than computing ...
Henrik Schumacher's user avatar
5 votes

How can I mark the maximum value in a plot?

Try this: ...
Alexei Boulbitch's user avatar

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