docs: "Defining Systems" chapter added

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Mateusz Pusz committed 2023-05-15 13:28:41 +02:00
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@@ -260,6 +260,14 @@ example we can define ``si::kilometre`` as::
as ``km²`` would be invalid).
.. note::
[SIBrochure]_ states:
However, when prefixes are used with SI units, the resulting units are no
longer coherent, because the prefix introduces a numerical factor other than one.
Derived Units
-------------
@@ -268,10 +276,21 @@ Derived Units
names (i.e. ``N`` (newton)) or can be composed from the names of units of quantities
used to define thier derived quantity (i.e. ``km/h``).
The [SIBrochure]_ states:
Derived units are defined as products of powers of the base units. When the numerical
factor of this product is one, the derived units are called coherent derived units. The base
and coherent derived units of the SI form a coherent set, designated the set of coherent SI
units. The word “coherent” here means that equations between the numerical values of
quantities take exactly the same form as the equations between the quantities themselves.
Derived Named Units
^^^^^^^^^^^^^^^^^^^
The [SIBrochure]_ also says:
Some of the coherent derived units in the SI are given special names.
Derived named units have a unique symbol (i.e. ``N`` (newton) or ``Pa``
(pascal)) and they are defined in the same way as base units (which
always have to be a named unit)::