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 February 12th, 2017, 05:12 AM #1 Senior Member   Joined: Aug 2011 Posts: 534 Thanks: 2 Mathematical constants units. Can Mathematical constants be defined with units similar to physical constants? Example - PI Thanks & Regards, Prashant S Akerkar
February 12th, 2017, 09:46 AM   #2
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 Originally Posted by prashantakerkar Can Mathematical constants be defined with units similar to physical constants? Example - PI Thanks & Regards, Prashant S Akerkar
The only Mathematical quantity that I know of that has a unit is an angle expressed in radians. The sticky point there is that radians are defined as rad = arc length / radius, which means that the unit radian has no actual unit. But it is convenient to use it to designate that the quantity is an angle.

I have found it occasionally useful to put a unit on some quantities which have no unit, similar to the radians case. For example when doing a complicated problem I have noted that we can define a "unit" for a variable, x for example, which I would call "x ness." The x ness of an expression should be the same at the start of the problem as it is in the end. It doesn't always work but I've found that it makes a convenient check to see if I've done the problem correctly.

-Dan

 February 14th, 2017, 02:22 AM #3 Senior Member   Joined: Dec 2012 Posts: 951 Thanks: 23 If you can prove changing $\pi$ with $1$ dosen't effect the result in your problem, than $\pi$ (or else) can be your unit of measure. As example in the geometric problems it can be the common "tessel" that can be used to fullfit all the Areas you've in the problem, etc...

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