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The discussion revolves around the possibility of recovering an analytic description from a graph, specifically in the context of a Sudoku puzzle. Participants explore various mathematical approaches and models that could be applied to analyze the graph.
Participants express various hypotheses and approaches without reaching a consensus. Multiple competing views regarding the appropriate mathematical models and methods remain present.
Some assumptions regarding the nature of the graph and the specific characteristics of the data being analyzed are not fully articulated. The discussion includes references to different statistical distributions and fitting methods, but the applicability of these methods to the specific context of Sudoku puzzles is not resolved.
Individuals interested in mathematical modeling, statistical analysis, and those exploring the intersection of graph theory and practical applications in puzzles may find this discussion relevant.
Thanks. As usual I am being a bit lazy, just wondering if someone has thought this thoroughly so I don't have to. I may have to take a radical approach and think it through. Seems like it may be in the Chi-squared family (From the tanning salon family :) )?jedishrfu said:The curve looks a lot like Plank's curve for black body radiation. You could try curve fitting your results to it or do your future Sudokus under a black light. :-)
https://en.wikipedia.org/wiki/Black_body
I think that something like the time to complete a Sudoku puzzle would follow a log-normal distribution.WWGD said:Thanks. As usual I am being a bit lazy, just wondering if someone has thought this thoroughly so I don't have to. I may have to take a radical approach and think it through. Seems like it may be in the Chi-squared family (From the tanning salon family :) )?
https://en.wikipedia.org/wiki/Chi-squared_distribution