Questions tagged [multivalued]
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21 questions
2
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How to impose constraints $g(x,y)=0$ and $h(x,y)=0$ inside Plot3D?
I have a two-variable function $f(x,y)$ and want to use Plot3D to plot it, assuming that two constraints $g(x,y)=0$ and $h(x,y)=0$ are satisfied simultaneously. I ...
- 53
1
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1
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216
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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 ...
- 159
3
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3
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386
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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 ...
- 159
6
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3
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328
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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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4
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2
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243
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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
0
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1
answer
129
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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
0
votes
1
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135
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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
2
votes
2
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261
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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
0
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1
answer
93
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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 $f(m,s)$...
- 349
0
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1
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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
<...
- 1,189
0
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2
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114
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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 $t$ ...
- 103
2
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1
answer
198
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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 ...
- 21
0
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1
answer
110
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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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1
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138
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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 ...
- 1,189
0
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1
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287
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Plotting branch cuts of complex functions
I’m reading the wolfram page on complex functions and noticed that one can actually plot the values of these functions on the axis (cf. image attached). How can I do this in mathematics, say for $sech(...
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