- #1
landau_rules
- 4
- 0
Hi all,
I am trying to generalize a geometric concept found on page 7 from Steven Weinberg's "Gravitation and Cosmology" from 2 to 3 dimensions.
At the end I am stuck with the following set of equations:
1: a1+a2z32+a3z3z4+a4z42=0
2: b1+b2z32+b3z3z5+b4z52=0
3: c1+c2z32+c3z3z6+c4z62=0
4: d1+d2z42+d3z4z5+d4z52=0
Mathematica does not solve this with a simple Solve[{name_of_1, name_of_2, name_of_3, name_of_4},{z3, z4, z5, z6}]-statement.
I am no geek, but I have heard that some applications in cryptography are based on the fact that it is easy to demonstrate that a solution of that kind of problem (once you have it) is indeed a solution, but that it is hard to derive it.
The geometric interpretation is easy, but i don't succed in solving it.
So what can I do, to find a solution or all solutions?
Best greetings from Europe
A.
I am trying to generalize a geometric concept found on page 7 from Steven Weinberg's "Gravitation and Cosmology" from 2 to 3 dimensions.
At the end I am stuck with the following set of equations:
1: a1+a2z32+a3z3z4+a4z42=0
2: b1+b2z32+b3z3z5+b4z52=0
3: c1+c2z32+c3z3z6+c4z62=0
4: d1+d2z42+d3z4z5+d4z52=0
Mathematica does not solve this with a simple Solve[{name_of_1, name_of_2, name_of_3, name_of_4},{z3, z4, z5, z6}]-statement.
I am no geek, but I have heard that some applications in cryptography are based on the fact that it is easy to demonstrate that a solution of that kind of problem (once you have it) is indeed a solution, but that it is hard to derive it.
The geometric interpretation is easy, but i don't succed in solving it.
So what can I do, to find a solution or all solutions?
Best greetings from Europe
A.