# Questions tagged [maximum]

Questions on finding the largest value of a set, extreme values of an expression, or on Mathematica functionality for maxima testing.

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### How do I get actual solutions from MaxValue?

Say I want to calculate the maximum value of a simple function of two variables: f[r_, t_]:= r Cos[t]^3 (1 + r Sin[t]) with respect to the variable ...
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### Maximize - Non binding constraint is changing the result

When I add a non-binding constraint to a maximization problem the result changes. I don't understand why. Below you can find the code that I am using. For the maximization A, H = 6837.66 For the ...
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### How to best compute the maximum value of a multivariable function?

I'm new to Mathematica. I have the function: ...
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### Syntax error in NMaximize despite following official documentation

This is the code I'm trying to run: ...
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### Maximizing a function that involves a boolean

I want to maximize a rather simple function that contains a Boolean. If needed, we could set all parameters positive and require that also Mprofit and ...
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### Maximize a function over complexes

Assume that I have a bounded real valued function $h(a,b)$ such that $a\in \mathbb{C}$ and $b\in [0,1]$. Can Mathematica maximize such function over $\mathbb{C}\times [0,1]$? I tried some functions ...
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### Unable to formulate the correct formulation for maximize a function

So, i want to express these: $$\max(\cos(x)\cos(y)\cos(z)),\quad x+y+z=\pi,\quad x,y,z\in(0,\pi]$$ Attempt: ...
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### NMaximize seems not to work with a plottable function

I am trying to use maximum likelihood for estimating a parameter for a model based on some experimental data. The likelihood function I am trying to maximize calls a number of custom functions I have ...
43 views

### Find maximal elements of list (remove dominated elements)

Suppose I consider a to be greater than b if a[] >= b[] and ...
126 views

### Find largest and second larges number in each row and column

I am trying to find the largest and second largest number in each row and column. The largest numbers are easy, but how do I find the second largest? After I found them I also want to calculate the ...
407 views

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

I have a function $f(n)$ over $n\in\mathbb{N}$. I want to know its maximum value over a very large domain, say $n=1,2,3,4,...,10^6$. Is there a way to ask Mathematica to give me the maximum value of ...
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### Symbolic min max optimization

I have the following seemingly simple optimization problem Minimize[{Max[p^(c - 3) , a p^(c - 1) , b p^c], d <= p <= 1}, p] but the Mathematica does nothing. ...
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### Nested optimization problem - Function approximation

I need to maximize the following function (the input to NMaximize below) ...
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### Finding/Printing Variables that Correspond to the Maximum Output of a List

I am very new to Mathematica and been having a problem that is frustrating because I feel that there must be a simple solution which I just can't grasp. Essentially, I am looking to automatically ...
61 views

### Maximize a simple expression based on EuclideanDistance takes too long

Do you know if there is a mistake in this command syntax? It is very simple and still it takes too long. I cannot obtain any result at all: ...
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### I want to maximise my function over a particular domain

I have tried NMaximise. But I am getting an error always. Even if my command is correct. My function is Cos[π E^x] and I want to maximise it over the range (-3,3)
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### Finding the smallest function and the domain on which it is smallest

Given a list of functions what is the best way to find the domains on which each function is the smallest. Simple example ...
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### 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 ...
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### 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 ...
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### How to find maxima of a numerical calculation

Suppose I have the following code: ...
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### 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 ...
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### 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 ...
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### problem with maximize function and envelope function

I Have the problem with the maximize of this problem: ...
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### 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 ...
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### 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 ...
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### 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]) ...
67 views

### Maximization of a a PiecewiseExpand funcion

I have the following 3 piecewise functions and their upper envelope. ...