An Experiment in Unit Conversions
Posted: Fri Jun 26, 2009 7:57 am
***BEWARE: Abandon fear of math, all ye who enter here.***
At the beginning of IEW, I started to wonder what the exact relation between "real world" time and "Land" time was. "I've survived Calc 1," I said. "All this is is a unit conversion. I can do this no problem!" As it turns out, this is harder than I thought. The main problem was a lack of numbers to work with. I tried to do this with the four hours of LFB, but it was hard for me to remember exactly how much time passed in the land (I estimate something around 3 lunar months based on the moon phases). There is only one place in the first chronicles (working on WL as of this writing) where reliable equivalent times are given in specific numbers. In the beginning of IEW, TC spends five weeks in his world (count 'em) and forty years pass in the Land. Here's how the math goes as set up per my word problem method:
**Math**
Knowns:
- Land Units:
1 Land month (Lm) = 28 Land days (Ld) ((I am assuming that the Land uses lunar months. They give no indication that the calender works on anything but the moons and seasons. Yes, this does affect the numbers.))
1 Land year = 12 Lm = 336 Ld ((This assumption is based on nothing but the fact that the Land does not appear to have leap year.))
- Real World Units
1 Real World day (rwd) = 24 hours (rwh)
1 Real World week (rww) = 7 rwd = 168 rwh
40 Ly = 5 rww
Unknown:
The relationship of time between the Land and the real world
Work:
40 Ly = 5 rww
8 Ly = 1 rww ((Divided both sides by 5))
8 Ly = 2,688 Ld ((Conversion to days))
1 rww = 168 rwh ((Conversion to hrs))
2,688 Ld = 168 rwh ((Time to simplify))
16 Ld = 1 rwh
**End Math**
The first time I did this, I was very surprised that it came out so neatly. To test my numbers, I decided to try it on the four hours from LFB:
**Math**
Known:
16 Ld = 1 rwh
1 Lm = 28 Ld
Unknown:
4 rwh = x Lm
Work:
4 rwh = x Lm
4 rwh = 64 Ld
64 Ld = 2.3 Lm
**End Math**
So TC's first Land adventure lasted a little over two lunar months. From my reading for LFB, this makes sense. I couldn't find a way to use this in TPTP because no definite times are given. Still, I'm not totally confident in this as a proof because I've only read LFB once. Any comments, mathematical or otherwise, would be appreciated.
At the beginning of IEW, I started to wonder what the exact relation between "real world" time and "Land" time was. "I've survived Calc 1," I said. "All this is is a unit conversion. I can do this no problem!" As it turns out, this is harder than I thought. The main problem was a lack of numbers to work with. I tried to do this with the four hours of LFB, but it was hard for me to remember exactly how much time passed in the land (I estimate something around 3 lunar months based on the moon phases). There is only one place in the first chronicles (working on WL as of this writing) where reliable equivalent times are given in specific numbers. In the beginning of IEW, TC spends five weeks in his world (count 'em) and forty years pass in the Land. Here's how the math goes as set up per my word problem method:
**Math**
Knowns:
- Land Units:
1 Land month (Lm) = 28 Land days (Ld) ((I am assuming that the Land uses lunar months. They give no indication that the calender works on anything but the moons and seasons. Yes, this does affect the numbers.))
1 Land year = 12 Lm = 336 Ld ((This assumption is based on nothing but the fact that the Land does not appear to have leap year.))
- Real World Units
1 Real World day (rwd) = 24 hours (rwh)
1 Real World week (rww) = 7 rwd = 168 rwh
40 Ly = 5 rww
Unknown:
The relationship of time between the Land and the real world
Work:
40 Ly = 5 rww
8 Ly = 1 rww ((Divided both sides by 5))
8 Ly = 2,688 Ld ((Conversion to days))
1 rww = 168 rwh ((Conversion to hrs))
2,688 Ld = 168 rwh ((Time to simplify))
16 Ld = 1 rwh
**End Math**
The first time I did this, I was very surprised that it came out so neatly. To test my numbers, I decided to try it on the four hours from LFB:
**Math**
Known:
16 Ld = 1 rwh
1 Lm = 28 Ld
Unknown:
4 rwh = x Lm
Work:
4 rwh = x Lm
4 rwh = 64 Ld
64 Ld = 2.3 Lm
**End Math**
So TC's first Land adventure lasted a little over two lunar months. From my reading for LFB, this makes sense. I couldn't find a way to use this in TPTP because no definite times are given. Still, I'm not totally confident in this as a proof because I've only read LFB once. Any comments, mathematical or otherwise, would be appreciated.