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@@ -203,27 +203,27 @@ complete list of all the :term:`SI` prefixes supported by the library::
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namespace si {
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struct yocto : prefix<yocto, "y", pow<-24>(mag<10>())> {};
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struct zepto : prefix<zepto, "z", pow<-21>(mag<10>())> {};
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struct atto : prefix<atto, "a", pow<-18>(mag<10>())> {};
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struct femto : prefix<femto, "f", pow<-15>(mag<10>())> {};
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struct pico : prefix<pico, "p", pow<-12>(mag<10>())> {};
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struct nano : prefix<nano, "n", pow<-9>(mag<10>())> {};
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struct yocto : prefix<yocto, "y", mag_power<10, -24>()> {};
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struct zepto : prefix<zepto, "z", mag_power<10, -21>()> {};
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struct atto : prefix<atto, "a", mag_power<10, -18>()> {};
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struct femto : prefix<femto, "f", mag_power<10, -15>()> {};
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struct pico : prefix<pico, "p", mag_power<10, -12>()> {};
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struct nano : prefix<nano, "n", mag_power<10, -9>()> {};
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struct micro : prefix<micro, basic_symbol_text{"\u00b5", "u"},
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pow<-6>(mag<10>())> {};
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struct milli : prefix<milli, "m", pow<-3>(mag<10>())> {};
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struct centi : prefix<centi, "c", pow<-2>(mag<10>())> {};
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struct deci : prefix<deci, "d", pow<-1>(mag<10>())> {};
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struct deca : prefix<deca, "da", pow<1>(mag<10>())> {};
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struct hecto : prefix<hecto, "h", pow<2>(mag<10>())> {};
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struct kilo : prefix<kilo, "k", pow<3>(mag<10>())> {};
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struct mega : prefix<mega, "M", pow<6>(mag<10>())> {};
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struct giga : prefix<giga, "G", pow<9>(mag<10>())> {};
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struct tera : prefix<tera, "T", pow<12>(mag<10>())> {};
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struct peta : prefix<peta, "P", pow<15>(mag<10>())> {};
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struct exa : prefix<exa, "E", pow<18>(mag<10>())> {};
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struct zetta : prefix<zetta, "Z", pow<21>(mag<10>())> {};
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struct yotta : prefix<yotta, "Y", pow<24>(mag<10>())> {};
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mag_power<10, -6>()> {};
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struct milli : prefix<milli, "m", mag_power<10, -3>()> {};
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struct centi : prefix<centi, "c", mag_power<10, -2>()> {};
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struct deci : prefix<deci, "d", mag_power<10, -1>()> {};
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struct deca : prefix<deca, "da", mag_power<10, 1>()> {};
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struct hecto : prefix<hecto, "h", mag_power<10, 2>()> {};
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struct kilo : prefix<kilo, "k", mag_power<10, 3>()> {};
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struct mega : prefix<mega, "M", mag_power<10, 6>()> {};
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struct giga : prefix<giga, "G", mag_power<10, 9>()> {};
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struct tera : prefix<tera, "T", mag_power<10, 12>()> {};
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struct peta : prefix<peta, "P", mag_power<10, 15>()> {};
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struct exa : prefix<exa, "E", mag_power<10, 18>()> {};
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struct zetta : prefix<zetta, "Z", mag_power<10, 21>()> {};
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struct yotta : prefix<yotta, "Y", mag_power<10, 24>()> {};
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}
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@@ -232,14 +232,14 @@ domain::
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namespace iec80000 {
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struct kibi : prefix<kibi, "Ki", pow<10>(mag<2>())> {};
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struct mebi : prefix<mebi, "Mi", pow<20>(mag<2>())> {};
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struct gibi : prefix<gibi, "Gi", pow<30>(mag<2>())> {};
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struct tebi : prefix<tebi, "Ti", pow<40>(mag<2>())> {};
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struct pebi : prefix<pebi, "Pi", pow<50>(mag<2>())> {};
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struct exbi : prefix<exbi, "Ei", pow<60>(mag<2>())> {};
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struct zebi : prefix<zebi, "Zi", pow<70>(mag<2>())> {};
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struct yobi : prefix<yobi, "Yi", pow<80>(mag<2>())> {};
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struct kibi : prefix<kibi, "Ki", mag_power<2, 10>()> {};
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struct mebi : prefix<mebi, "Mi", mag_power<2, 20>()> {};
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struct gibi : prefix<gibi, "Gi", mag_power<2, 30>()> {};
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struct tebi : prefix<tebi, "Ti", mag_power<2, 40>()> {};
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struct pebi : prefix<pebi, "Pi", mag_power<2, 50>()> {};
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struct exbi : prefix<exbi, "Ei", mag_power<2, 60>()> {};
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struct zebi : prefix<zebi, "Zi", mag_power<2, 70>()> {};
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struct yobi : prefix<yobi, "Yi", mag_power<2, 80>()> {};
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}
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@@ -260,6 +260,14 @@ example we can define ``si::kilometre`` as::
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as ``km²`` would be invalid).
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.. note::
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[SIBrochure]_ states:
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However, when prefixes are used with SI units, the resulting units are no
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longer coherent, because the prefix introduces a numerical factor other than one.
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Derived Units
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-------------
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@@ -268,10 +276,21 @@ Derived Units
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names (i.e. ``N`` (newton)) or can be composed from the names of units of quantities
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used to define thier derived quantity (i.e. ``km/h``).
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The [SIBrochure]_ states:
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Derived units are defined as products of powers of the base units. When the numerical
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factor of this product is one, the derived units are called coherent derived units. The base
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and coherent derived units of the SI form a coherent set, designated the set of coherent SI
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units. The word “coherent” here means that equations between the numerical values of
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quantities take exactly the same form as the equations between the quantities themselves.
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Derived Named Units
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^^^^^^^^^^^^^^^^^^^
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The [SIBrochure]_ also says:
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Some of the coherent derived units in the SI are given special names.
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Derived named units have a unique symbol (i.e. ``N`` (newton) or ``Pa``
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(pascal)) and they are defined in the same way as base units (which
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always have to be a named unit)::
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