# Questions tagged [multivalued]

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### Finding and Plotting Minima

Using the same concept discussed in Plotting minima of a mutivariable function, I am trying to plot the minimas for the function z[v_, t_] here. This is what I am ...
• 149
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### Plotting minima of a mutivariable function

Consider a function, z (x,y) = x^2 + y^2 + 3*x*y. For a range of x, I like to plot the minimum values of ...
• 149
240 views

### Composition of vectorvalued functions

Suppose I have two functions $f,g:\mathbb{R}^2 \to \mathbb{R}^2$ and that I want to compute $g(f(x,y))$. As an example, let's take $f(x,y)=(x+y, x-y)$ and $g(x,y)=(y^2,x^2)$. Then, $g(f(1,2))=(1,9)$. ...
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### Solving multivariable equation after setting partial derivative to zero

I have a real-valued function of four variables, namely $L[\phi, m0, m1, m2]$. I am interested in taking the partial derivative $\partial_{\phi}L$ thereof and setting the partial derivative to zero, ...
• 271
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### Assign values from a list to a multivariable function that also has other arguments

I am new to Mathematica's way of programming. I have a multivariable function, part of whose values are available as a list, and the remaining in another list. To illustrate, I will present my problem ...
• 41
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### Is it possible plot the function $h(x;a,b,c)$ over $0<x<3$ for numeric triplets $(a,b,c)$?

I have a constraint f[a_, b_, c_] ==0 with three parameters $-1<a,b,c<1$ where ...
• 749
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### How to plot the given functions $g$ and $h$ with the assumption $f=0$?

I have a constraint f[a_, b_, c_] ==0 with three parameters $0<a,b,c<3$ where ...
• 749
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### 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 ...
• 195
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### Can someone please explain where I am going wrong in the given argument? Is it obvious that $f(m,s)>0$?

I have a two-variable function $f(m,s)$ for real $m>0$ and $s>0$, and as the first picture shows, it seems that it is always positive; on the other hand, I can easily find the minimum of $f(m,s)$...
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### Is there any hope to compute analytically $y=f(x)$ for which $g(x,y)=0$?

I have a two-variable function $g(x,y)$ with $0<x\leq\frac{\pi}2$ and $\frac32<y<5$. I am looking for $y=f(x)$ for which $g(x,y)=0$. Using ContourPlot <...
• 1,169
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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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### Does the computation time for the determinant of a symbolic matrix depend only on the size of matrix? or, the form of the entries also plays a role?

I have a large ($50\times 50$) sparse matrix $M$ whose entries are symbolic, and most of them are of these exponential form: E^(-((I x)/2)) (3 + x) and ...
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### How to express the given function as a factor $e^{7 i x}$ times a real function?

I have the function $f(x,b,t,m)$ for $\{x>0,t,b\}$ all reals and $m=\{1,2,3,4,5,6\}$. For each particular $m\in\{1,2,3,4,5,6\}$, I see that $f(x,b,t,m)$ has a multiplicative factor $e^{7 i x}$ ...
• 749
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### How to plot the solutions of the equation $f_{a,b}(x)=0$ for $x$ as $a$ and $b$ range through the whole interval $(-2,2)$?

I have a three-variable function $f_{a,b}(x)$ for $x>0$, and $-2<a,b<2$, say f[x_,a_,b_]:=b^3 Sin[x] + Cos[a/b] Question I want to plot the roots of this ...
• 1,169
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### How to ask Mathematica to extract all $y$-dependent terms in the given function $f(x,y,z)$?

I have a very large three-variable function $f(x,y,z)$ for real variables $\{x,y,z\}$ (I had to put only part of my original function because of the limit of $30000$ characters). Is it possible to ...
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