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Find perspective projection matrix under constraints

I have taken a photo (with a rectilinear lens) of a house's outside wall that sits on top a roof, from which I wish to take measurements from. However, to do so I would need to correct the perspective ...
小太郎's user avatar
  • 213
0 votes
1 answer
77 views

Solving for Lagrangian multipliers with additional assumptions

I want to solve the Lagrangian with two multipliers $\lambda_1$ and $\lambda_2$, but with an additional convexity assumption. However, when I solve it case by case under such an assumption, I get 0 as ...
Lizy Jackson's user avatar
3 votes
1 answer
199 views

Two-directional vibration of Euler–Bernoulli beam with Lagrange multiplier

Background I'm going to investigate a beam-pendulum coupling system (in this question I won't consider the pendulum though), that is, a spherical pendulum is suspended on the tip of a cantilever beam. ...
rnotlnglgq's user avatar
  • 3,740
1 vote
1 answer
67 views

Find an instance satisfying equation

I have the following equation with two variables xi and nu. ...
Dotman's user avatar
  • 456
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0 answers
40 views

NonlinearModelFit with NMinimize Submethods and Selective or Mixed-Head Constraints

Problem: I believe I've found a two related bugs associated with using NonlinearModelFit while making a Method call to NMinimize's submethods, e.g. "RandomSearch" and "...
Ghersic's user avatar
  • 1,157
0 votes
0 answers
30 views

Adding constrains in a SYM function "Classicalsymmetries"

Please help me add constrains on my code. The function runs perfectly fine without the constrains but it gives me 7 cases and I only need one where all the constrains I have hold. This is the code ...
Ms Me's user avatar
  • 1
0 votes
0 answers
50 views

Identify a condition among variables that satisfy an inequality

I have a symbolic function that produces the output a = (1 - e - mu/n) Log[(1 - e - mu/n)/(1 - mu/n)] + (e + mu/n) Log[((e + mu/n) n)/mu] If I substitute ...
Dotman's user avatar
  • 456
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0 answers
53 views

Problem maximizing a function

I have a problem maximizing the following function: ...
blo's user avatar
  • 1
1 vote
1 answer
58 views

Error with NMaximize: "The following constraints are not valid" which disappears if the objective is changed

I am trying to optimize under constraint using NMaximize, however the constraints are flagged as invalid. I could not see the problem with the constraints so I ...
Cryme's user avatar
  • 133
1 vote
1 answer
116 views

Finding the maximum of a non-linear function symbolically

I have the function $$f(x,\alpha) = x^\alpha - \frac{x^2}{2}$$ where $x>0$ is the main variable of interest and $\alpha \in (0,1)$ is the parameter of curvature: ...
Gorkem Aksaray's user avatar
0 votes
2 answers
53 views

Constraints in a set of equations

I am currently working on a system of equations that is subject to a determinant constraint. Specifically, I have a matrix $B$ with $\det(B) = 0$, and I aim to construct a linear combination of its ...
Albus Black's user avatar
0 votes
0 answers
59 views

Invalid Constraints error in Non-linear Optimization

I am trying to write the code to solve a certain optimal control problem, but I keep running into an issue when I pass on my constraints to NMininimize[]. The ...
Kushagra Mishra's user avatar
0 votes
1 answer
91 views

Find the minimum value of a constrained multivariable function [closed]

Say I have a function of four variables $f(x_1,x_2,x_3,x_4)$ and a constraint $g(x_1,x_2,x_3,x_4)$ (both are quite complicated, that's why I don't write them explicitly). I want to find the minimum ...
AFG's user avatar
  • 123
0 votes
1 answer
72 views

NIntegrate MonteCarlo with phase-space constraints

I wanted to use NIntegrate in Mathematica to perform a multi-dimensional Monte-Carlo integration numerically. I am a physics student, and I want to calculate probabilty (cross-section) of a high ...
Raymond Chen's user avatar
8 votes
1 answer
304 views

Creating a random symmetric matrix with a particular rank

The documentation about LinearAlgebra has a section on Constructing Matrices, but the examples of random matrices using RandomReal don't offer an obvios way to ...
lotus2019's user avatar
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0 votes
0 answers
31 views

Solving a system of equations with distributional constraints

I'd like to generate samples of real numbers respecting distributional constraints. I tried (here, for a sample of 17 reals): ...
Raoul's user avatar
  • 101
0 votes
1 answer
52 views

Generating a 2 variables polynomial with constraints

I would like to generate automatically a polynomial in two variables $(s,t)$ which is symmetric under the exchange of those variables. There are three kinds of terms; at order $k$, we have $$(s+t)^k, \...
Rubilax96's user avatar
8 votes
2 answers
762 views

How do I plot a function subject to a constraint?

While learning about Lagrange multipliers, I am finding examples on how a constraint is applied to a function. Given the following two functions (where E^ is ::e::):...
M.E.'s user avatar
  • 333
6 votes
3 answers
171 views

How to define variables $a$,$b$,$c$,$d$ are all elements of set $\{2,3,5,7\}$?

I would appreciate it if somebody could help me with the following problem: I want to create a Wolfram Language expression that states that all $a$,$b$,$c$,$d$ variables are elements of the set $\{2,...
Young's user avatar
  • 259
1 vote
1 answer
175 views

LinearOptimization - how to solve with vector constraints?

I have the following linear program that I am able to solve in MATLAB. However, I want to move to Mathematica. For some fixed constants $n$, $\delta$ and $\varepsilon$ and fixed $(n+1)$-dimensional ...
user1936752's user avatar
5 votes
1 answer
157 views

Optimal control via ParametricNDSolve

I'm wondering about the possibility of employing ParametricNDSolve to solve a class of constrained optimal control problems. Here's an example: The system under ...
dchatter's user avatar
  • 200
5 votes
2 answers
239 views

ContourPlot -- coloring the plot lines

I have 2D implicit functions which I would like to plot in color, with given color functions. E.g.: ContourPlot[y^2 - x^3 + x^4 == 0, {x, 0, 1}, {y, -1/2, 1/2}] ...
Aharon Naiman's user avatar
3 votes
1 answer
186 views

Imposing constraints on any undefined symbol appearing in a matrix automatically

I want to know how can I can I tell Mathematica that all symbols that appear in an object, e.g. a matrix, obey certain constrains, without having to write these conditions by hand. More specifically, ...
AG1123's user avatar
  • 571
0 votes
1 answer
52 views

How is Mathematica minimizing correlation exactly with linear constraints?

I made a random data matrix as data = Table[Random[], {i, 5}, {j, 5}]; In my case it was $$ \left( \begin{array}{ccccc} 0.951203 & 0.546669 & 0.86928 &...
user1337's user avatar
  • 1,088
2 votes
1 answer
75 views

How to find constrains on variables that make a system of inequalities not have a solution

My problem is as follows: How do I ask Mathematica the following question. Let $f(x,y,z,a,b)$ be a 5 variable polynomial. I want to find all values of $a,b$ for which $f$ has no zeros in the region $...
2132123's user avatar
  • 657
1 vote
1 answer
185 views

Find right end-point satisfying an integral constraint

I am solving the following system of first-order ODEs with a variable right-end point l1num and boundary condition at that point ...
Asatur Khurshudyan's user avatar
1 vote
1 answer
162 views

Can this previously solved three-dimensional constrained integration also be solved with certain added products in the integrand?

In Solved3DConstrainedIntegration the constrained three-dimensional (Hilbert-Schmidt-metric-based HSmetric) integration problem for the absolute separability probability of the two-qubit (quantum bit)...
Paul B. Slater's user avatar
2 votes
1 answer
150 views

Constrained Optimization with Interpolating Functions

My goal is to use a gradient descent type method to maximize interpolating function1 with respect to the constraint that interpolating function2 <= 0.5. I am working with 4D data (please see below)....
mathemagician617's user avatar
2 votes
2 answers
295 views

Draw a (1/4) partial 3D cylinder in a quadrant

Here is a code to draw a full cylinder $\theta \in [0, 2\pi)$: Graphics3D[Cylinder[{{0, 0, 0}, {1, 0, 0}}, 1/2]] My question is that how do we draw a 1/4 of the cylinder, such that it only appears in ...
wonderich's user avatar
  • 923
0 votes
0 answers
66 views

Generating iteration and constraint lists dynamically

I have a model for which I want to perform a set of calculations with successively deeper iterations and more constraint. In other words for a given value of a Do iterator, n, I want to: perform a ...
jmm's user avatar
  • 271
0 votes
1 answer
773 views

Equation of motion through the Lagrangian with Lagrange multipliers

I ask for advice, I'm a little confused. I have such a Lagrangian. $L=\frac{1}{2}m(\dot{x}^2+\dot{y}^2)-\lambda(2x^2+3y^2-1^2)$ Here $\lambda(2x^2+3y^2-1^2)$ is the constraint on the phase variables. ...
dtn's user avatar
  • 2,404
3 votes
2 answers
185 views

How do you make two interactive sliders dependent on eachother?

I have this code. Definition of q is: ...
Victor Nielsen's user avatar
2 votes
1 answer
208 views

use of parametric ndsolve with a constraint

I want to solve differential equation $$ \frac{y''[x]}{(1+y'[x]y'[x])^{3/2}} = -a -y[x]/ \sqrt{2} + x/ \sqrt{2} $$ subject to boundary condition $y(-1) = y(1) = 0$ for some value of $a$. $a$ is found ...
nameDisplay's user avatar
0 votes
0 answers
36 views

Matrix modification with constraint on it

$q$ is a real antisymmetric matrix and can be defined as: ...
Jasmine's user avatar
  • 1,225
3 votes
2 answers
204 views

Creating a matrix of dimension d with constraints on indices

Is there a way to create a matrix $q$ of dimension $d$ with constraints on the indices given by: $$d\longrightarrow dimension$$ $i,j $ are indices $$q_{i,j}=\begin{cases} -b & j=i+d,\\ c & j=...
Jasmine's user avatar
  • 1,225
1 vote
1 answer
245 views

How to enforce constraints on matrix equations for unknowns to have only one non zero element per row?

I am trying to find a nice and efficient way to approach the following problem: I need to solve (for example using Solve, Reduce, or NSolve) certain type of equations involving a set of unknown square ...
AG1123's user avatar
  • 571
0 votes
1 answer
156 views

Maximization under constraints / find maxima

I am trying to code the following maximization program that I am not able to solve algebraically (Of course I manage to get the first derivative, but struggle finding its root): $\begin{equation} Max_{...
Banalaude's user avatar
  • 107
1 vote
0 answers
45 views

Find the ratio of two volumes of 6 x 6 positive-definite symmetric matrices

Consider the class $A$ of $6 \times 6$ positive definite matrices with real entries and unit trace (that is, the sum of the six diagonal entries is 1). (In quantum information-theoretic parlance, this ...
Paul B. Slater's user avatar
1 vote
1 answer
100 views

Control evaluation for functional constraints

I'm trying to understand how to use Mathematica to find a solution subject to constraints, where one of the constraints is specified as a predicate function. But I don't know how to control evaluation ...
algal's user avatar
  • 113
0 votes
0 answers
57 views

Construction of Navigation Function: Error

https://en.wikipedia.org/wiki/Navigation_function https://www.sciencedirect.com/science/article/abs/pii/S0921889015302451 https://arxiv.org/pdf/1605.00638.pdf - Paragraph III I am trying to create a ...
dtn's user avatar
  • 2,404
0 votes
2 answers
113 views

listing of vectors satisfying some special constraint

We have list = {{1, 1, 0}, {1, 0, 1}, {0, 1, 1}, {-1, 1, 0}, {1,-1, 0}, {-1, -1, 0}, {-1, 0, 1}, {1, 0, -1},{-1, 0, -1},{0, -1, 1},{0, 1, -1},{0, -1, -1}} ...
gunes's user avatar
  • 369
2 votes
2 answers
172 views

FindMinimum with constraint produces incorrect results

Issuing the following: FindMinimum[{x, ((2 x + 1)/(3 x - 2))^(4 x - 3) <= 10^-10}, {x, 2}] produces a value of 13.1686 . The constraint for that value is: 1....
Aharon Naiman's user avatar
1 vote
3 answers
145 views

Maximize - Non binding constraint is changing the result

When I add a non-binding constraint to a maximization problem the result changes. I don't understand why. Below you can find the code that I am using. For the maximization A, H = 6837.66 For the ...
Ana Sá's user avatar
  • 13
3 votes
1 answer
339 views

In NMinimize, how to incorporate constraints on positive semidefiniteness of a matrix which is not the matrix variable being optimised?

The problem I want to solve the following problem for symmetric matrix $X$: $$ \begin{aligned} \min_{X\succ 0} \; & -\log(\det(X)) & \\ \text{subject to} \; & \begin{pmatrix} X &...
ModCon's user avatar
  • 245
2 votes
2 answers
170 views

Calculate the Viswanath's constant (Random Fibonacci sequences)

How Can I calculate first few digits of Viswanath's constant? Viswanath’s constant ≈ 1.1319882487943 is a real number whose nth power approximates the absolute value of the nth term of some random ...
vito's user avatar
  • 8,958
0 votes
1 answer
254 views

How to find a numerical solution for a differential equation with constraints?

I want first to apologize for my poor english level ^^ Let me present my issue. I want resolve numerically (I use Python) for x in [0;1] the following differential equation : $$dy/dx = a(y - y^2) $$ ...
Kinane's user avatar
  • 11
2 votes
1 answer
119 views

Verify a conjectured formula for a modification of a 3D constrained integration successfully solved using Mathematica

I've acquired somewhat indirect--and not fully conclusive--evidence that the solution of a certain three-dimensional constrained integration takes the form ...
Paul B. Slater's user avatar
1 vote
1 answer
43 views

Plotting 3D region depending on 2 parameters with constraints

I'm trying to plot the full range that a set of estimates gives. They depend on some parameters and conditions, but I haven't been able to to it effectively with RegionPlot3D. Here is the set that I ...
ibr_'s user avatar
  • 93
0 votes
0 answers
37 views

Bug with ValueQ involving fractions? [duplicate]

Expected behavior: ClearAll[f]; ValueQ[f[1]] False Unexpected behavior: ...
WillG's user avatar
  • 960
0 votes
1 answer
108 views

Find the probability (relative volume) of a certain 4-ball with respect to Hilbert-Schmidt measure

Let us consider the set of points {x,y,z,1-x-y-z} and impose the strict ordering constraint ...
Paul B. Slater's user avatar