"Recovering" the Formula from a graph?

  • Context: Graduate 
  • Thread starter Thread starter WWGD
  • Start date Start date
  • Tags Tags
    Formula Graph
Click For Summary

Discussion Overview

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.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant questions whether it is possible to recover an analytic description from a graph.
  • Another participant suggests that the curve resembles Planck's curve for black body radiation and proposes curve fitting as a potential method.
  • A participant humorously mentions the idea of completing Sudokus under a black light, linking it to the previous suggestion.
  • There is a mention of possibly needing to consider a Chi-squared distribution in the analysis.
  • One participant proposes that the time to complete a Sudoku puzzle might follow a log-normal distribution.
  • Another participant shares links to polynomial regression data fitting tools, indicating a method for analyzing the data.

Areas of Agreement / Disagreement

Participants express various hypotheses and approaches without reaching a consensus. Multiple competing views regarding the appropriate mathematical models and methods remain present.

Contextual Notes

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.

Who May Find This Useful

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.

WWGD
Science Advisor
Homework Helper
Messages
7,806
Reaction score
13,115
Just curious: Can I "recover" the analytic description ( say, like a Mathematical expression) from a graph?

I just did well on a Sudoku recently . Please see below:

upload_2018-9-3_17-21-49.png
 

Attachments

  • upload_2018-9-3_17-21-49.png
    upload_2018-9-3_17-21-49.png
    26.6 KB · Views: 724
Physics news on Phys.org
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
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
 
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
I think that something like the time to complete a Sudoku puzzle would follow a log-normal distribution.
 
  • Like
Likes   Reactions: WWGD

Similar threads

  • · Replies 1 ·
Replies
1
Views
508
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 76 ·
3
Replies
76
Views
7K
  • · Replies 11 ·
Replies
11
Views
4K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 11 ·
Replies
11
Views
3K
  • Poll Poll
  • · Replies 18 ·
Replies
18
Views
5K
  • · Replies 0 ·
Replies
0
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K