# Questions tagged [findinstance]

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2 answers
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### How to find a set of solution of the inequality?

There exists a,b,c,d,e such that ...
• 51
2 votes
1 answer
101 views

### Strange error in FindInstance result

I was running the following code ...
• 617
3 votes
1 answer
116 views

### FunctionDomain and FindInstance problem

I have some functions including many real parameters as follows: For example, ...
• 191
2 votes
0 answers
79 views

### How to find rational roots of a polynomial in 5 variables in a cube

I am trying to find rational numbers $m,k,l,o,z,R$ such that R^12 - (k l^2 m - l m^2 o - k^2 l z + l o z) R^6 + o^3*z^3 == 0 in the following cube: ...
• 553
3 votes
1 answer
132 views

### How can I solve this system of 6 simple quadratic diophantine equations in four variables?

I generated this text file containing tuples $(\sqrt{s}, \sqrt{t}, \sqrt{u}, s,t,u,t+u,t+u-s,t-s)$ where the six variables $s,t,u,t+u,t+u-s,t-s$ are all squares. An excerpt of the data set is: ...
4 votes
3 answers
158 views

### Challenges and Opportunities of FindInstance Command

I'm testing the FindInstance capabilities and ran into one problem that behaves similarly with different types of inequalities. I calculate two points satisfying ...
• 1,626
0 votes
0 answers
55 views

• 131
3 votes
4 answers
383 views

### Problems with FindInstance in v. 11

I have been trying to solve a system of linear equations and linear inequalities with 18 unknowns. I would think that for Mathematica giving an answer to such question will be a matter of milliseconds....
• 641
2 votes
0 answers
645 views

### solving linear systems with parameters

I am trying to solve simple, small linear systems, with parameters. I would like to have the result shown for various values of the parameter. RowReduce[], ...
1 vote
0 answers
96 views

### What is the algorithm used in FindInstance? [closed]

Is FindInstance guaranteed to find an instance if one exists? Conversely, if it does not find an instance, does that mean an instance does not exist at all? Finally, is there a way to change the ...
• 153
6 votes
5 answers
411 views

### Faster way to pick pairs of integer coordinates from a "region"

I am trying to find a faster way to do this than what I have put together or by looping through a bunch of points. I want to select all pairs of integer points ((x1,y1),(x2,y2)) such that: Point (x1,...
• 838