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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, ...
John Doe's user avatar
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4 votes
2 answers
134 views

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 ...
haricash's user avatar
0 votes
1 answer
96 views

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 ...
math2021's user avatar
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0 votes
1 answer
80 views

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 ...
math2021's user avatar
  • 749
2 votes
2 answers
141 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
  • 175
0 votes
1 answer
55 views

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 $f(m,s)$...
Martha97's user avatar
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0 votes
1 answer
72 views

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 <...
charmin's user avatar
  • 1,159
0 votes
2 answers
65 views

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
  • 103
2 votes
1 answer
112 views

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 ...
mathchem's user avatar
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1 answer
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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 $e^{7 i x}$ ...
math2021's user avatar
  • 749
0 votes
1 answer
75 views

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 ...
charmin's user avatar
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0 votes
0 answers
51 views

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 ...
charmin's user avatar
  • 1,159
0 votes
1 answer
199 views

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(...
Roberto_1986's user avatar
1 vote
1 answer
146 views

A method for endpoints in mathemtica [closed]

If $(\mathbb{R},|.|)$ is a real line, $C$ a subset of $\mathbb{R}$ and $K(C)$ denote set of a compact subset of $C$. Define a multivalued mapping $T:C\rightarrow K(C)$. We know that a point $p\in C$ ...
Junaid's user avatar
  • 161
0 votes
1 answer
58 views

Findroot to evaluated a function that become multivalued and varying of a parameter

I am having problem in solving this equation: s[t_?NumericQ, l_?NumericQ] :=FindRoot[s - Sin[t - (l*s)] == 0, {s, t, l}, Method -> "Automatic"][[1, 2]] ...
Alex's user avatar
  • 1
0 votes
1 answer
53 views

FoldList type evaluation for multivariable function

In the example code which follows I define a two variable conditional function h[_i, _v], one variable denotes the integer index i, and the other is an N-dimensional vector v (I denote dimension 'N' ...
John Doe's user avatar
  • 371
0 votes
1 answer
45 views

How to use Manipulate for the variable $z$ in the given ContourPlot of three functions?

I have these three functions (two of them 2-variables, and one is 3-variables) $$\{\quad f:=f(x,y)\quad,\quad g:=g(x,y)\quad,\quad h:=h(x,y,z) \quad\}$$ I would like to have ...
math2021's user avatar
  • 749
0 votes
0 answers
50 views

Optimization when actively working with the NDSolve command

Lagrangian of three-mass system with Mathematica Based on the Lagrangian of a mechanical system, we can obtain a system of equations of motion. These equations can be explored numerically using the ...
dtn's user avatar
  • 2,394
5 votes
2 answers
290 views

How do I analytically-continue the dilogarithm function?

Here's the dilogarithm definition: $$\text{Li}_2(z)=\sum_{k=1}^{\infty} \frac{z^k}{k^2};\quad |z|<1$$ However, the function can be analytically-continued by several integral means for all $z$ with ...
Dominic's user avatar
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