I think this is a wonderful article about  dimensional analysis:

http://www.reciprocalsystem.com/ce/dimmot.htm

Grimer wrote:
...
I recommend any reader who does not understand the previous paragraph
to read a book on dimensional analysis if he wants to fully appreciate
the next section. As for readers who believe in the fundamental nature
of mass, length and time as firmly as they believe in their God (or
gods), then I suggest they delete this post now. I wouldn’t want to
endanger their simple faith.

When one expresses the dimensions of permeability and permittivity in
terms of [M]ass , [L]ength and [T]ime one finds that they are very
different creatures.

Not the type of people likely to get on with each other in fact.

No wonder their kid is out of sorts;
all screwed up as you Americans might put it.

Now let's lead c's mother and father gently into the dimen-analyst’s
consulting rooms for some marriage guidance counseling.

Combining the two words, permeability and permittivity with no space < br>in between them gives permeabilitypermittivity . Since this is a bit
of a mouthful we can take the permeab- bit of permeability and the
-ivity part of permittivity to give us Permeabivity, the name for the
Mother and Father united, the name for the couple as one.

To emphasize that it is a group name, and because it’s easy to get it
confused with the two other names, I’ve given Permeabivity a capital
letter, as you can see.

To recap, we now have, the equation

light speed = the square root of Permeabivity,

I’ve not bothered to put this equation in symbols as well as words.
To do so would mean introducing a new symbol for Permeabivity
and that could lead to confusion.

We can now write down the dimensions for the property,
the quality, of Permeabivity,
in terms of the conventionally fundamental dimensions,
the properties, the qualities, of mass, length and time. ...

Hoyt Stearns
Scottsdale, Arizona


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