Questions tagged [maximum]
Questions on finding the largest value of a set, extreme values of an expression, or on Mathematica functionality for maxima testing.
78
questions
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0answers
24 views
FindMaximum + NMaximize + Arc of the Cycloid?
I am graphing the parametric equations for the arcs of the cycloid (common, curtate, and prolate). This equation works well:
...
0
votes
0answers
42 views
difference between max() and max^(0,1)
I have a really complicated function that I need to take partial derivative of. After executing the partial derivative, I got a function that contains both $\max(0,a-b)$ and $\max^{(0,1)}(0,a-b)$ for ...
1
vote
1answer
35 views
Maximize violate constraint of non approximated function
here is my code
Maximize[{-(10/17) - x + (20 (1 + x))/(17 (2 + x)), 0 <= x <= 1.5}, x]
The result I got:
{6.66134*10^-16, {x -> -9.79755*10^-16}}
As you ...
0
votes
1answer
52 views
0
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0answers
61 views
Next maximum plot with results from NDSolve
I want to produce a Next-maximum-plot, i.e., I want to plot all local maxima $m_{i+1}$ against the local maximum $m_i$ in order to check for chaotic behavior.
In particular, I have the following code:...
1
vote
2answers
69 views
problem with maximize function and envelope function
I Have the problem with the maximize of this problem:
...
0
votes
2answers
63 views
How do I find all maxima of this function?
I have to find all the maxima of the function
fun[t_?NumberQ] := NIntegrate[1/y^(11/3) Cos[y t], {y, 1, 2 }]
To find the poit with zero first derivative I have ...
0
votes
0answers
17 views
Problem with PiecewiseExpand[Max[ ]]
I have these functions:
By running this command:
FullSimplify[PiecewiseExpand[Max[a, b , c, x, y, z]],
9 <= \[Beta] <= 11]
I obtain:
However I think ...
1
vote
3answers
34 views
Highlight largest value in each column of `Table // TableForm`
I am exploring colossally abundant numbers; in particular the set of specific 'critical epsilon values'. I table the function DivisorSigma[1, n]/n^(1 + \[Epsilon]) ...
2
votes
1answer
51 views
Maximization of a a PiecewiseExpand funcion
I have the following 3 piecewise functions and their upper envelope.
...
4
votes
3answers
159 views
2
votes
4answers
90 views
Sorting polynomials based on their y value and finding their intersection
I've got the following list of polynomials,
...
0
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0answers
70 views
How to differentiate a function constructed through FindRoot?
I am trying to maximize a function which has as a variable another function that was solved numerically using FindRoot. My code is below.I start by defining some parameters
...
0
votes
1answer
46 views
Sorting an Association by FindMaximum
Prompted by my wrestling with this earlier question:
Changing the opacity of lines on a plot based on their value
I want to sort an association by the maximum value for each of the 3 members of the ...
1
vote
1answer
31 views
Linear Programming using Maximize
I am trying to solve a more complicated version of the following LP problem:
I have some constraint amounts a,b,c and two variables made of those amounts.
I would like to find the best way to ...
1
vote
1answer
93 views
Given a function $f(t,s)$, compute $\max_{t_2\in [0,1]}\min_{t_1\in [0,1]} |f(t_1,s_1)-f(t_2,s_2)|$
Given a continuous and bounded function $f(t,s)$, $t,s\in[0,1]$, I would like to compute
$$\max_{t_2\in [0,1]}\min_{t_1\in [0,1]} |f(t_1,s_1)-f(t_2,s_2)|,$$
for each numeric values of $s_1$ and $s_2$....
1
vote
2answers
86 views
Find the max value of $f(x,y)= 9\ln(x^2+2y^2+1)-x^2-y^2$
I need to find the max value of:
f[x_, y_] := 9 Log[x^2+2y^2+1] - x^2 - y^2
which has a center at the origin and radius 4. Maximize and NMaximize are not working ...
3
votes
2answers
372 views
How can I get exact maximal value of this expression?
I am trying to find the exact maximum value of the expression
$$ E= \sqrt{5 a^2+a (4 b-2 c)+2b^2+4 b c+5 c^2}+\sqrt{2a^2+a (2 b+2 c)+2 b^2-2 bc+2 c^2}+\sqrt{26 a^2+a (10c-2 b)+26 b^2+10 b c+2 c^2} ,$$ ...
2
votes
1answer
60 views
ArgMin and NArgMin gives different result
Im doing the same problem with ArgMin and NArgMin, however NArgMin messes up the order of the solution.
Given function:
...
0
votes
2answers
65 views
Parametric Find Maximum
I'd like to plot the maximum of a curve in function of a parameter. Meaning I looking for maxima that depend on a parameter.
Here is what I tried to do but FindMaximum is not parametric, so it did ...
0
votes
1answer
45 views
Finding two peaks of a plot (dataset)
I have a dataset which on plotted looks like the following:
As you can see there are two maximas around origin, I want to find out the (x,y) value of both of them, is there a way to do so?
1
vote
3answers
78 views
Plot maximum value of a function of three variables
Given a function f[\[Theta]_, \[Phi]_, t_] given by
...
0
votes
0answers
38 views
NMaximize with a variable ranging over permutations
I have an optimization problem where there are $n$ activities and
I want to find an optimal schedule of those activities.
The schedule is specified as $S=(\mathbf{t},p)$ where:
$\mathbf{t}=\left(t_{...
0
votes
1answer
71 views
Maximize and FindMaximum drive me crazy
I have to run a numerical study.
As part of it I have to solve:
...
0
votes
0answers
26 views
Using MaxValue to define a function, plotting is slow
I'm trying to compute c-functions (from the theory of optimal transport), and so I must compute `supremums' for some function $f$ and cost $c$
$$g(y)=\sup_{x\in \mathbb{R}} c(x,y)-f(x)$$
My code ...
0
votes
2answers
41 views
Unable to find maximum value of my custom function
myfunn[x_, y_] := Module[{},
If[x < 5, Return[0]];
If[x < 10, Return[2]];
x*y];
I'm unable to find the maximum value of this function over the ...
3
votes
2answers
160 views
NMaximize is not converging to a solution
I am trying to use NMaximize to find the maximum value of a variable that satisfies the given constraints. Since the constraints aren't straightforward, I am using ...
1
vote
1answer
94 views
0
votes
1answer
46 views
Maximize function subject to condition [closed]
What commands should I use in Mathematica to obtain the maximum or minimum of a function subject to conditions?
For example, find the maximum of the following function?
$\qquad T=\sqrt[3]{2\,x+5} + \...
0
votes
0answers
74 views
Find the maximum of a function involved with Floor function
My function is
$$
f(H,p) = \left\lfloor \dfrac{\lfloor H/p\rfloor + 3 - \sqrt{(\lfloor H/p\rfloor + 1)^2 - 4H}}{2} \right\rfloor
$$
The constraints are $ H \geq p(4p-1)
$, $ p $ is prime although ...
1
vote
2answers
47 views
Define x as a multiple of a number as a constraint in the Maximize function
I am trying to optimize a linearly constrained Production Function. I have three inputs and want them all to be multiples of 150. I can make all the inputs to belong to the Integer Domain but is there ...
1
vote
1answer
143 views
How to do Maximum Likelihood Estimation with this Multivariate Normal?
I'm trying to perform Maximum Likelihood Estimation, where the data follows a Multivariate Normal.
The problem, I think, is that in the density, we have the inverse of the covariance matrix. This ...
0
votes
2answers
133 views
0
votes
0answers
60 views
NSum: Summand (or its derivative) is not numerical at point
I am experiencing a problem in evaluating the maximum of a function that is defined as a sum
...
0
votes
1answer
131 views
3
votes
0answers
214 views
Automated searching for maximal 2D point configurations
I have some black-box function that takes lists of 2D points, and I would like to find some practical methods of searching for collections of points that maximize it.
Motivation
I've come across ...
2
votes
1answer
84 views
Maximize with matrices
How do I use maximise with an arbitrary sized symbolic matrix?
e.g for a small matrix it is fine to write it out,
...
4
votes
2answers
287 views
List of critical points
In TI-Nspire CX CAS, writing:
exp▶list(fMax(sin(x),x,0,10),x)
I get:
{((π)/(2)),((5*π)/(2))}
while in Wolfram Mathematica, writing:
...
2
votes
2answers
222 views
Problem with Solve (Lagrange multiplier)
I'm trying to solve a simple maximization problem, which I can easily solve by hand using the Lagrangian method.
I want to maximize UH subject to ...
0
votes
1answer
74 views
1
vote
3answers
144 views
How to extract maximum value coordinates from ParametricPlot of function
I have a ParametricPlot
ParametricPlot[{Sin[x], 2 Cos[x]}, {x, 0, 2 π}]
How to know the maximum value on Y-axix and X-axis?
1
vote
0answers
35 views
Trouble Plotting the maximum values of a function
First off, I apologize if this question is either incredibly obvious, or has been clearly asked and answered before. I've been searching the forum for a while, and the questions and answers thusfar ...
0
votes
2answers
57 views
Hot to single out numeric values from NMaximize
I have some problem with NMaximize.
The function NMaximize gives result like this
NMaximize[f[x],x]
{f[xmax] ,{x -> xmax}}
I've read in various answers that ...
1
vote
2answers
57 views
Finding maximum in the boundary limits using mathematica [closed]
Im trying to find the maximum of the function on the boundary:
f[x_, y_] := 10 Log[x^2 + 2 y^2 + 1] - x^2 - y^2
That is within the boundary:
...
0
votes
1answer
67 views
Getting the index of maximum while generating the values with table
Say I am tabling the values of a two variable function using a list of indexes (which I can't assume to be ordered), I'd like to return the index (or the list of indexes) which yield the maximum value(...
0
votes
1answer
203 views
Finding peaks/maxima while extracting the range of x-values
I have read similar questions about finding peaks on the web (Finding peaks of data) as well as the FindPeaks function but I'm struggling to put them into proper context for my case. I am still a new ...
3
votes
3answers
194 views
Maximization of a function over a discrete set
I have a function of three variables: $f = f(x, y, z)$. I need to maximize $f$, when $x$, $y$ and $z$ run given sets of values: $x \in (x_1, x_2, x_3)$, $y \in (y_1, y_2, y_3)$ and $z \in (z_1, z_2, ...
0
votes
1answer
61 views
How to find maximum (not with numbers,but with parameters) of 2-variables function under constraints?
I have these functions:
...
0
votes
0answers
90 views
How to maximize the modulus of a multivariate complex-valued function?
My problem is the following.
I have a messy, complex-valued function
...
1
vote
1answer
71 views
Has Mathematica derived the maximum here?
Suppose I define a function as
f[l_, a_, p_] := (l^(1 - 2*p))/(l + a)
Then I solve the expression for the first derivative equalling to zero for ...
