# 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: ...
1 vote
83 views

### 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, ...
58 views

### Finding the maximum of a symbolic piecewise function

I have the function: coded as: ...
65 views

### 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 $t, m, k$: ...
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 ...
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 ...
85 views

### 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 ...
1 vote
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 ...
68 views

### 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 ...
1 vote
73 views

### 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 ...
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 ...
153 views

### 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,...
96 views

### 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 ...
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 ...
37 views

### 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 ...
528 views

77 views

### 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, ...
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, ...
177 views

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: ...
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: ...