Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Find the location of a signpost with given distances to a set of cities
ResourceFunction["WorldTravellerSignpostSolve"][{{loc1, dist1},{loc2, dist2},…}] given the locations loci and distances disti find the location of the signpost. |
Given a set of cities and their distance, what is the location of the signpost:
In[1]:= |
Out[2]= |
Numbers are interpreted as kilometers:
In[3]:= |
Out[4]= |
Given the signpost, find the location:
In[5]:= |
Out[6]= |
Find the country:
In[7]:= |
Out[7]= |
Visualize the lines and the found minimum:
In[8]:= |
Out[8]= |
Investigate the effect of the precision of the distances on the final location. Given a location, and some random cities, find the estimates for 'rounded' distances:
In[9]:= |
Out[10]= |
Plot the error in the location as a function of the rounding:
In[11]:= |
Out[11]= |
We see that the error in the location is much better than the errors introduced by rounding.
This work is licensed under a Creative Commons Attribution 4.0 International License