# Singular point: How can I numerically find the point of fracture?

• Jan 2nd 2011, 10:55 PM
Neodim
Singular point: How can I numerically find the point of fracture?
Tell me please how can I numerically find the point of fracture, such as in this graph for example:
Attachment 20310
I would like to know what methods exist for solving this problem (also for the multidimensional case), and references to them.
• Jan 2nd 2011, 11:43 PM
Also sprach Zarathustra
Do you know the graph equation?
• Jan 3rd 2011, 12:31 PM
HallsofIvy
If all you are given is the graph, the all you can do is estimate the value from the graph. It looks to me like it is about (98.75, -.98). If you have the graph in a graphing calculator, you may be able to "zoom" in on the point to get more accuracy.
• Jan 3rd 2011, 04:22 PM
Neodim
Quote:

Originally Posted by Also sprach Zarathustra
Do you know the graph equation?

No, I don't know. Each point on the graph is the result of solving systems of nonlinear equations, whose form depends on several parameters. Ordinate is one of the parameters, Abscissa - one of unknown variables.
• Jan 3rd 2011, 04:31 PM
Neodim
Quote:

Originally Posted by HallsofIvy
If all you are given is the graph, the all you can do is estimate the value from the graph. It looks to me like it is about (98.75, -.98). If you have the graph in a graphing calculator, you may be able to "zoom" in on the point to get more accuracy.

It is possible if a man analizes the grath. But in my case computer must deturmine point of fracture without a man
• Jan 4th 2011, 02:30 AM
HallsofIvy
Then how are you "inputting" the graph to the computer? That is, what information is the computer getting about the graph?