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exponents with units
- Thread starter tpaulsen
- Start date
Well, that is as it should be. Exponentiation of a meter has neither mathematical nor physical meaning.
If you have an equation where you have units left over in the exponent, the equation is simply wrong or you've ignored a unit somewhere in other term(s) of the exponent.
A typical exponent using range would look like exp(-alpha*range). In these cases, alpha always has units of length^-1. There are no exceptions.
Another typical form is exp(-V/kT). Needless to say, k's equivalent dimension is always volts/degree or something similar.
TTFN
If you have an equation where you have units left over in the exponent, the equation is simply wrong or you've ignored a unit somewhere in other term(s) of the exponent.
A typical exponent using range would look like exp(-alpha*range). In these cases, alpha always has units of length^-1. There are no exceptions.
Another typical form is exp(-V/kT). Needless to say, k's equivalent dimension is always volts/degree or something similar.
TTFN
Mathcad's handling of units is one of my major reasons for using it - I've lost count of the number of typos and the bad maths I've managed to avoid when the units didn't stackup. A very valuable part of the sanity checking needed when using automated tools, IMHO.
Bung
Life is non-linear...
Bung
Life is non-linear...
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