A somewhat moderate nitpick, a lot of your degrees of freedom don’t multiply with each other. For example, #4 and #6. We have 2 types of lattitude systems, and we have 3 types of measurements (location, height, width) But this only gives us 4 possible combinations, not 6 (lattitude 1, lattitude 2, width, height). And a lot of your other degrees of freedom don’t multiply like longitude/lattitude, or location also don’t multiply with width/height. Similarly, #3 and #7 don’t multiply. You only have two degrees of freedom corresponding to different monuments if every alternate location also has two valid monuments.
Some of this can be fixed by fusing some categories and treating them as additive, but in general this means your number of combinations should be smaller than you think (and more mathematically complicated to compute).
Thanks for pointing that out; I noticed that too. This is perhaps partly made up for by the fact that he doesn’t count feet or the mouth of the Nile river as possibilities.
A somewhat moderate nitpick, a lot of your degrees of freedom don’t multiply with each other. For example, #4 and #6. We have 2 types of lattitude systems, and we have 3 types of measurements (location, height, width) But this only gives us 4 possible combinations, not 6 (lattitude 1, lattitude 2, width, height). And a lot of your other degrees of freedom don’t multiply like longitude/lattitude, or location also don’t multiply with width/height. Similarly, #3 and #7 don’t multiply. You only have two degrees of freedom corresponding to different monuments if every alternate location also has two valid monuments.
Some of this can be fixed by fusing some categories and treating them as additive, but in general this means your number of combinations should be smaller than you think (and more mathematically complicated to compute).
Thanks for pointing that out; I noticed that too. This is perhaps partly made up for by the fact that he doesn’t count feet or the mouth of the Nile river as possibilities.