Timeline for May I treat units (e.g. joules, grams, etc.) in equations as variables?
Current License: CC BY-SA 3.0
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Jun 11, 2020 at 10:20 | history | edited | CommunityBot |
Commonmark migration
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May 16, 2015 at 19:17 | history | edited | TRiG | CC BY-SA 3.0 |
Added chemistry-related example.
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May 14, 2015 at 17:37 | comment | added | TRiG | @docscience And the units themselves, not just the dimensions, can be treated as algebraic variables. In my example, there's just the one dimension (I may add more examples when I'm not on a train), and more of the values are simple conversions. | |
May 14, 2015 at 16:05 | comment | added | Random832 |
Of course, depending on what genre of music you prefer, you may be able to simplify this further by using either 86400 s day^-1 or 525600 min yr^-1 - bearing in mind that for the latter you are embedding an assumption about non-leap years into how you measure a year.
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May 14, 2015 at 14:33 | comment | added | docscience | One cannot stress enough how important dimensional analysis is and the realization that dimensions can be treated algebraically in the same manner as numbers. As TRiG says If you can master dimensions you're likely never to make mistakes again in your computations. And there is much more ... check out Buckingham's PI theorem to see where dimensions can be used to infer mathematical relationships of physical systems. | |
May 14, 2015 at 13:18 | history | answered | TRiG | CC BY-SA 3.0 |