| [07:43] System: Chruser
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| [07:43] Chruser:
၁၂ အောက်တိုဘာ |
| [07:54] System: Chruser
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| [14:04] System: WetWired
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| [14:04] WetWired:
10/12=5/6 |
| [14:05] System: WetWired
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| [15:13] System: Chruser
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| [15:13] Chruser:
It's kind of funny that there are so many websites/articles/etc on the properties of particular integers (say, 37), whereas there are almost none on particular non-integer rational numbers, despite the fact that there are equally many of them |
| [15:31] Chruser:
I'd argue that rational numbers are probably much more deeply connected to nature than the integers are, anyway... |
| [15:38] Chruser:
For example, the speed of light in vacuum is 299792458 m/s, but there's nothing special about that number; it's just an artifact of the SI units. The fine structure constant, on the other hand, is the ratio of the speed of the electron in the first circular orbit of the Bohr model of the atom, to the speed of light. In other words, this ratio of two numbers (or rather, speeds) gives you this nice, dimensionless constant that's independent of any system of measurement. |
| [16:03] Chruser:
The rationals are interesting in that they're the simplest number system that can approximate such dimensionless constants (pi being another good example) arbitrarily well |
| [16:06] Chruser:
(Also, while it's most likely a coincidence, the fine-structure constant is very closely approximated by 1/137...) |
| [16:18] System: Chruser
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