All Questions
Tagged with equation-solving mathematical-optimization
211
questions
0
votes
0
answers
54
views
Finding values of constants for which 1st and 2nd order derivatives of a function vanish
I'm trying to find critical values of some constants $v_c$ and $T_c$, for which holds the equality below:
$$\bigg(\frac{\partial P}{\partial v}\bigg)\biggr\rvert_{v=v_c,\; T=T_c}=0,\quad \bigg(\frac{\...
- 27
1
vote
2
answers
181
views
How to find the equation of a curve which is not symmetric [closed]
I need to find the equation of f1(x) by these three points (5,4) (2,5 , 0) (0, 1,5). I think it is not a standart symetric parabola.
1
vote
1
answer
85
views
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.
...
- 35
0
votes
1
answer
90
views
Real valued solution
I want to obtain the critical points or if you like a real solution for the first derivative of the function set to zero, and the second derivative also vanishes of the function :
...
1
vote
2
answers
75
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:
...
- 11
1
vote
1
answer
132
views
Find the maximum of a given function
I calculate a target function f about two variates a and b.
...
- 135
4
votes
1
answer
583
views
My model has not finished evaluating in more than a day so can't test if it works, what is wrong with it?
Hello I have this modified monocentric city model that I have been working on for a while.
Sorry for the long post, I wanted to add the whole code, because it's all connected.
My suspicion is that it ...
- 263
0
votes
0
answers
107
views
Simplification of long trigonometric expression taking a long time
I have tried to Simplify as well as FullSimplify a long trigonometric expression to get a simplified form of the expression but it takes a very long time almost hours and sometimes it also shows error ...
- 135
1
vote
1
answer
242
views
How to numerically solve an equation
I would like to solve for $r_2$ the following two (independent) equations:
$x_{Min}(a,b,c,r_1,F)=x_{Max}(a,b,c,r_2,F)$ (1)
and
$x_{Min}(a,b,c,r_2,F)=x_{Max}(a,b,c,r_1,F)$ (2)
where $a$, $b$, $c$, $r_1$...
- 77
0
votes
0
answers
65
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, ...
- 57
3
votes
1
answer
201
views
Solve an equation
I have this equation in terms of x0 and I need to find x0 in terms of Theta .
...
- 61
2
votes
3
answers
270
views
How to prove or disprove an inequality with Mathematica?
I mean there exist $\lambda>0, x\in \mathbb R$ s.t. the inequality $$ \frac{3^{\lambda } e^x+e^{3 x}+1}{2^{\lambda } e^{2 x}}<\frac{1}{10^{100}}$$ is valid.
Here are my unsuccessful attempts.
<...
- 27.3k
0
votes
1
answer
181
views
How to find the value which minimises the residual sum of squares
I have 3 equations with 3 parameters(unknowns). I would to solve it using newton raphson method. I want to use initial values (parameters) for the Newton Raphson
procedure as the value (parameters) ...
- 169
0
votes
0
answers
36
views
Which result is more reliable in NMaximize in the given code? with `WorkingPrecision` or without it?
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(...
- 749
0
votes
2
answers
216
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(...
- 749