Questions tagged [maximum]
Questions on finding the largest value of a set, extreme values of an expression, or on Mathematica functionality for maxima testing.
97
questions
0
votes
1answer
45 views
How to maximize an expression within an interval? [closed]
I have tried to maximize this expression but in the interval -1<= x <=1 , but I can't get the correct syntax
...
0
votes
1answer
59 views
Maximize an expression with respect to a variable after its minimization with respect to other variables
I started to use Mathematica a few time ago. I want to minimize the following expression (function of $l,p,q,r,c$) with respect to variables $l, p, q, r$ and then maximize the result obtained with ...
1
vote
1answer
32 views
Minimize a function of a variable of four variables and one parameter with constraints
I just started to use Mathematica. Using the following simple command to minimize a function of variables $a,b,c,d$ with parameter $n$, it takes too much time. Do you know if there is a mistake in ...
0
votes
3answers
66 views
0
votes
3answers
53 views
NMinimize: How to avoid solutions that do not satisfy constraints within a certain tolerance?
I just started to use Mathematica a few weeks ago. Using NMinimze, I would like to avoid solutions that do not satisfy certain constraints (although they "almost" satisfy them). Do you know ...
1
vote
0answers
50 views
Maximize taking too long
I just started to use Mathematica a few weeks ago. I am afraid there is something that does not work on my laptop because, for the following simple command, it takes too much time. Do you know if ...
1
vote
2answers
120 views
Finding the maximum of a piecewise function
I have the following piecewise function of the variable $e_f$:
$$g(a,b,c,w,F,e_h,e_f)=\begin{cases}
\frac{(c-a e_f) (e_f (4e_f w-a)+c)}{8 b e_f^2} & \left(e_f=e_h\land e_f>\frac{c}{a}\...
0
votes
1answer
39 views
Problems in optimizing a function over two variables
The following function needs to be maximized over the variable $a1$ and $a2$ in the range $0 \le a1 <1$ and $0\le a2 <1$:
...
0
votes
2answers
73 views
0
votes
0answers
51 views
-1
votes
1answer
26 views
How to find the local maximum and minium points,as well as the interval of increase/decrease on the derivative equation [closed]
How to find the local maximum and minimum points, as well as the interval of increase/decrease on the derivative equation,x^6-10x^5-780^3+2500x^2
0
votes
0answers
35 views
1
vote
2answers
27 views
How to find $ (x, y) $ corresponding to $ z_\text{max} $ in $ \{x, y, z\} $-table?
I have been given a table a of the form
...
0
votes
1answer
85 views
How do I find the maximum of this quantity?
I am looking for the maximum of the function
$$V(r^*)=\left( 1-\dfrac{2m}{r} \right)\left( \dfrac{l(l+1)}{r^2}-\dfrac{6m}{r^3} \right)$$
in the coordinate $r^*$ for given $l$ and $m$, where $r^*=r+...
2
votes
1answer
43 views
Nested maximum function not working
I am trying to maximize a function which is itself a maximized function. For example, see the below.
Can someone explain this error:
...
2
votes
1answer
53 views
How to plot and print the maximum value in a ContourListPlot[]
I have managed to manipulate functions from a list of data points.
The data table is large and thus is in this link.
...
2
votes
2answers
50 views
Maximise a function over real and complex parameters [closed]
I have the function
f[b_x_] := Exp[-I b] Sin[I x],
where $x$ is real and $b$ is complex. I want to maximise the function $f$ over $x$ and $b$, but it is ...
0
votes
1answer
50 views
Position of maximum element in list under optimisation
For a list of several functions:
functions = {a[x,y,z],b[x,y,z],c[x,y,z],d[x,y,z]};
I want to maximize the maximum value of a function of three variables. This ...
0
votes
1answer
38 views
Maximise over functions in Mathematica
Define the functions $h$, $j$, and $k$ that are each functions of 3 variables:
h[x,y,z]
j[x,y,z]
k[x,y,z]
How can I find the max of these functions? I want the ...
2
votes
1answer
56 views
How to find the distances between two adjacent maxima in a solution from NDSolve
I try to find a general approach to plot the time evolution of horizontal distances from maximum to maximum in a solution of PDE. The solution u[x,t] normally have ...
1
vote
1answer
63 views
Why can MaxValue simply not get the exact result I want? [closed]
8/7 (9 + 4 Sqrt[2]) That's the result I want.
How can I get x and y at the same time with respect to max?
How can I add the constraint that both x and y belong to ...
0
votes
0answers
57 views
FindMaximum error (not a real number)
For the code below, I get several error messages once I click the "Enable Dynamics" button. However, once I run the code, the output works fine, so, if that is all I wished to do, I would just live ...
0
votes
0answers
28 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:
...
1
vote
1answer
39 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
61 views
0
votes
0answers
62 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
75 views
problem with maximize function and envelope function
I Have the problem with the maximize of this problem:
...
1
vote
2answers
86 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
21 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
55 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
62 views
Maximization of a a PiecewiseExpand funcion
I have the following 3 piecewise functions and their upper envelope.
...
4
votes
3answers
164 views
2
votes
4answers
94 views
Sorting polynomials based on their y value and finding their intersection
I've got the following list of polynomials,
...
0
votes
0answers
73 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
54 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
56 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
104 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
100 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
385 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
73 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
107 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
63 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
111 views
Plot maximum value of a function of three variables
Given a function f[\[Theta]_, \[Phi]_, t_] given by
...
0
votes
1answer
73 views
Maximize and FindMaximum drive me crazy
I have to run a numerical study.
As part of it I have to solve:
...
0
votes
2answers
47 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
307 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
113 views
0
votes
1answer
62 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
81 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
51 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 ...
