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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Polynomial approximation of max function
Let me just say upfront I'm not a mathematician, I'm rather looking for a practical answer to my question. I was wondering if there is a polynomial approximation for the function
$$\max(0,x)=\left\{\...
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Why does Maximize return this unevaluated?
Maximize[{PDF[NormalDistribution[0, sigma], x], sigma > 0}, x, Reals]
Just returns unevaluated (when, obviously, it should return ...
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Maximization Problem
I am trying to find the solution of the following problem.
$ \max_{n_{\in [1,M]}} \frac{n \left(\frac{k (n-2 (\rho -1) \tau )}{\frac{k n (n-2 (\rho -1) \tau )}{2 (n+1)^2}+1}-2 \rho (\tau -1)\right)}{...
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How do to create 3D plot for the argument from two another arguments for maximum of the function?
How do to create 3D plot of ${t_{opt}} = {f_2}\left( {x,y} \right)$, where ${t_{opt}}$ is corresponding to maximum value of ${f_1}\left( {x,y,t} \right)$ at the limited ranges of $x,y,t$? If $t$ ...
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Maximization of a concave function with contraints in the arguments
I have been struggling on solving this problem. Suppose you have a function f(x, y) that is concave in x and y. I want to find (x, y) that maximize f(x, y) with x ...
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Evaluation stops without output or error when using Nested Maximize
I am trying to evaluate a max max min problem. The code is as follows:
...
-3
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1
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46
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Maximum number of routings for n points [closed]
I'm trying to formulate an equation to calculate the maximum number of routings possible for a given amount of points, with the following rules or restrictions:
A route must contain atleast one point
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How to find the positive maximum value of this total profit function?
So I have this function and I want to find the maximum value and the plot for x
I'm not really sure if I wrote the integral function correctly in mathematica, but here is the code I attempt :
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2
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4
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275
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From original dataset, find the probability of each element in each row having the maximum value in its row
Suppose I have this dataset
{{1, 3, 5}, {4, 4, 2}, {5, 3, 5}, {10, 4, 10}} // MatrixForm
How do I find the probability that each cell is the maximum in its row.
So ...
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Find binary vector within fixed distance to reference vector that maximizes the number of distances to a set of vector that are below a threshold
Input: A binary reference vector $r$, a multi-set of binary vectors $S$, and a distance function d between binary vectors of equal length. Assume that $r$ and all vectors in $S$ have the same length.
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Find min value of a complex Root function [closed]
Could someone tell me how to obtain the min value of this function when lambda is between 0 and 1:
...
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129
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Find global maximum of InterpolatingFunction in interval but not maximum value
I have InterpolatingFunction generated from experimental data with many local maxima, one major peak I need to find, and the tail that grouse much higher then major peak. I tried to find my peak with ...
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Parametric minimization of a quadratic expression in two variables
I am not an expert in using Mathematica, and I do not understand the following result (apologies if it appears trivial). I want to find the general solution to minimize the following expression over $...
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Find the minimum & maximum and plot it with the mean data
Hi I have ten data set and manage to calculate the mean using them. However I hope to find out the upper and lower limit in each point and plot it out with the mean data.
May I ask how can I ...
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How do I find the minimum and maximum values of a function of two variable with constraints? [closed]
The question is find the minima and maxima of the function
$$f(x,y)= x^2+5y^2+11x-12y+30$$
on $(x^2)/81+(y^2)/49 \leq 1.$
I've been trying to use FindMaxValue and <...
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Finding maximum of 2D interpolating function as a function of one of the variables
I am solving a 2D PDE in space and time b(r,t) and would like to find the maximum value of b in space as a function of time t.
Using the solution for maximising a 1D interpolating function from here, ...
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extremum points
I'm trying to find Min and Max points of the polynomial below, but it seems that the expression is very complicated to mathematical, I've tried a numerical function, such as NMinimize, NRoots, Solve, ...
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How to obtain the most accurate maximum value of the given equation? Changing WorkingPrecision gives different results
I have two functions $ f(x,y) $ and $ g(x,y) $ over the domains $ 1.56 <x< 1.6$ and $3<y<\pi$.
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How to calculate the maximum value of $x $ which satisfy the conditions $g(x,y)=0$ and $f(x,y)>1$?
I have two functions $ f(x,y) $ and $ g(x,y) $ over the domains $ 1<x< 2$ and $0<y<\pi$. I use ContourPlot to ses those values of $(x,y)$ for which $g(...
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Find maximum value of a function - wrong output? [closed]
I want to find the local maximum value of the function:
where the domain is 0 < x < 3/2.
Wolfram|Alpha gives me the correct answer while Mathematica gives me a totally different answer. Why is ...
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Full Information Maximum Likelihood - Under some other name in Mathematica
I have recently stumbled upon something called FIML - Full Information Maximum Likelihood. Apparently this methodology helps overcome missing variables provided the gaps are random. Searching the ...
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Argument of maximum value of a table in range
I have
data = {{817, 501}, {818, 549}, {819, 562}, {820, 534}, {821, 534}, {822, 535}, {823, 516}};
How to find argument "822" for 535 (which is the ...
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Maximize function problem [closed]
I don't understand why I'm getting no solution with the Maximize function in this case:
while it returns the right result when I impose $y\leq0.999$ (or, equivalently, $x\leq0.999$):
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NMaximize - global maximum fail - How to?
Problem :
Let x,y,z be non-negative real number whose sum is 1.
Find maximum of 0.2x + 0.2y + x^2*z + y*z^2
What I did first was reducing variable.
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104
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How can I set a find max value function with parameter in NDSolve
For example, Here is a NDSolve function with a parameter of w
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288
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0
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NMaximize computes wrong value
This question is a continuation of NIntegrate with a complicated function over the 4-sphere . Now I define a certain new function called "improvement" via:
...
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86
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364
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Polygon Diameter
I want to calculate the diameter of a convex polygon. That is, the largest distance between any pair of vertices. Here's my approach
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Maximization under constraints / find maxima
I am trying to code the following maximization program that I am not able to solve algebraically (Of course I manage to get the first derivative, but struggle finding its root):
$\begin{equation} Max_{...
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How can I mark the maximum value in a plot?
How can I mark the maximum value in a graph?
The graph that I would like to determine its maximum value, is an output of the following program:
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NIntegrate allegedly evaluating to non-numerical values
I'm getting non-numerical-evaluation error messages despite not having any symbolic variables in my code.
Here's a MWE representative of what I'm doing:
...
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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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110
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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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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 ...
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Find maximal elements of list (remove dominated elements)
Suppose I consider a to be greater than b if a[[1]] >= b[[1]] and ...
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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 ...
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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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Nested optimization problem - Function approximation
I need to maximize the following function (the input to NMaximize below)
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110
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How to find maximum of two or more parametric functions?
I have two parametric functions in which I know the range of parameters and I want to find the maximum of these two functions by conditions on the value of the variable. Suppose $f(x)=x-c$ and $g(x)=r....
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Maximum of all distances between any pairs of vertices of a random triangle
Given a set $S_n$ of $n$ points selected uniformly at random in a $d$-ball, I want to estimate the average length of the longest side of a triangle having as vertices any three distinct points of $S_n$...
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How do I find the maximum of a certain complex expression? [closed]
I have this expression:
TFilter1 = -(7.5438*10^8/(6.34731*10^8 + 48270.2 s + s^2))
where s is a complex variable give by $s = ...
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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 ...
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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:
...