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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Find analytical expression for t as a function of x for first maximum in a periodic function

I have the following expression: 3 Csc[2 \[Pi] x t] Sin[4 \[Pi] x t]^2 I know the first maximum occurs at: ...
sje1g13's user avatar
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1 answer
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How to calculate maximum between two or more lists element by element and also the index corresponding to the maximum element?

I am looking for a function say f such that for example f[{a1,b1,c1},{a2,b2,c2}] will give {Max[a1,a2],Max[b1,b2],Max[c1,c2]} and also a function g say such that g[{{a1, a2, a3}, {b1, b2, b3}},{{c1, ...
Georgy's user avatar
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Finding the maximum of a symbolic piecewise function

I have the function: coded as: ...
vivelesmaths's user avatar
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Maximize does not finish or does not work

I need to maximize the following expression over the two variables $d$ and $a$, in terms of the parameters $t, m, k$: ...
Penelope Benenati's user avatar
2 votes
2 answers
89 views

Minimax problem where a combination of Minimize and Maximize gives no result at all

I rarely use Mathematica, but I usually do not have any problem with simple commands like Minimize or Maximize. I have find to ...
Penelope Benenati's user avatar
3 votes
1 answer
166 views

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

Assume that I have three one-variable non-periodic functions $f(x),g(x),h(x)$ for $x>0$. The question is: is it possible to ask Mathematica to obtain the function describing the upper and lower ...
math2021's user avatar
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ArgMax returns the input

I am new to Mathematica so I don't know if I am missing something. I am trying to use ArgMax for a specific function I have, which includes ...
hilarlia's user avatar
1 vote
2 answers
213 views

How can't we find the maximum value of this?

Maximize[{ω, -(π/6) + ( k π)/ω <= π, -(π/ 6) + ((k + 1) π)/ω >= (4 π)/3, ω > 0, k ∈ Integers}, {k, ω}] // FullSimplify ...
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3D plot not working, find max/min points [closed]

Im trying to plot this graph in mathematica: (x+y)sin(x-y) And this is my in- and output: Plot3D[(x + y) (Sin[x - y]), {x, -50, 50}, {y, -50, 50}] The output is ...
Kei Len's user avatar
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1 answer
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Finding Max/Min of interpolated function and average value above/below the x axis

I have the below code used to create an interpolation function that will plot the difference between two interpolated functions (to compare between different periods of time). However, I would like to ...
Andrew Bowsher's user avatar
2 votes
2 answers
135 views

Is it possible to ask Mathematica to find those points $(x,y)$ at which the given function may reach its global/local extrema?

I have this two-variable function $f(x,y)$ for {x,-Pi,Pi} and {y,-Pi,Pi} in which $\{a,b,c\}$ are real parameters (can be ...
MsMath's user avatar
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2 votes
1 answer
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Is it possible to obtain the symbolic expression for the maximum value of a function?

Is it possible to obtain the symbolic expression for the maximum value of out as a function of A,...
emnha's user avatar
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2 votes
2 answers
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NMaxValue - function is not a real number

I'm trying to use NMaxValue to numerically find maximal values of the function F[z]. The problematic part of my code is as ...
cyndaquilka's user avatar
2 votes
2 answers
158 views

Getting an exact value from FindMinimum [closed]

FindMinimum[{(Sin[a]^2 + Sin[b]^2)/Sin[c]^2, a + 2 b == π/2 && a + b + c == π && a > 0 && b > 0}, {a, b, c}] The numerical ...
csn899's user avatar
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Maximizing functions with statements similar but result different

I would like to know why when I maximize the sum of two functions with similar expressions (Qu and Qm), it gives me different results (nu and nm), since they should be the same results because the ...
Edison Moreno Cardenas's user avatar
3 votes
3 answers
528 views

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\{\...
Jimakos's user avatar
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2 answers
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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 ...
ben18785's user avatar
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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)}{...
MaB21's user avatar
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2 answers
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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 $t$ ...
Imyaf's user avatar
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1 answer
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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 ...
p1996's user avatar
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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: ...
blackbird_h71's user avatar
-3 votes
1 answer
51 views

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 ...
Jan Willem's user avatar
1 vote
2 answers
140 views

Why can't I get the maximum value?

...
Mengr's user avatar
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3 votes
1 answer
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How can I find the maximal value of this?

I already plot the image of the function S: ...
Mengr's user avatar
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0 answers
44 views

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 : ...
Shafa Keysa Rinjani Hananta's user avatar
2 votes
4 answers
427 views

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 ...
FARRAF's user avatar
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1 vote
1 answer
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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. ...
B A's user avatar
  • 35
1 vote
2 answers
65 views

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: ...
Jethro's user avatar
  • 11
3 votes
2 answers
193 views

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 ...
Филипп Цветков's user avatar
2 votes
1 answer
110 views

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 $...
Penelope Benenati's user avatar
4 votes
1 answer
112 views

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 ...
Boajj04's user avatar
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1 vote
2 answers
508 views

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 <...
Arnold's user avatar
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3 votes
1 answer
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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, ...
selforgphysics's user avatar
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0 answers
62 views

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, ...
TTT's user avatar
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2 answers
177 views

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(...
math2021's user avatar
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0 votes
2 answers
130 views

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 ...
Lisa's user avatar
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1 vote
0 answers
86 views

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 ...
Rogo's user avatar
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3 votes
2 answers
110 views

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 ...
Paweł Chmolewski's user avatar
-3 votes
1 answer
57 views

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, $x\leq0.999$):
Tech's user avatar
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2 answers
127 views

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. ...
imida k's user avatar
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0 votes
0 answers
131 views

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 ...
Yue Yu's user avatar
  • 55
2 votes
3 answers
423 views

Finding the Global Minimum

Consider the function ...
sam wolfe's user avatar
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0 votes
0 answers
76 views

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: ...
Ceka's user avatar
  • 103
1 vote
1 answer
102 views

Function range with numerical method

...
imida k's user avatar
  • 4,047
3 votes
2 answers
400 views

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 ...
sam wolfe's user avatar
  • 4,147
0 votes
1 answer
136 views

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_{...
Banalaude's user avatar
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3 votes
4 answers
935 views

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: ...
mehrosadat ebrahimi's user avatar
0 votes
1 answer
157 views

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: ...
Rain's user avatar
  • 636
0 votes
0 answers
43 views

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 ...
Andrea's user avatar
  • 548
1 vote
3 answers
144 views

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 ...
Ana Sá's user avatar
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