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WGS 84 (that spelling) is the name of an ellipsoid (EPSG::7030), the name of a geodetic coordinate reference system (EPSG::4326), and the alias of a datum (EPSG::6326), official name World Geodetic System 1984. WGS84 (no space) is the alias of the ellipsoid (EPSG::7030). WGS 84 is most commonly used to describe the coordinate reference system.
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vote
Translate Cartesian coordinates to WGS84, preferably in pyproj?
Actually if you want to use pyproj, it is quite straightforward:
import pyproj
x = 3862525.511
y = -109738.522
osgb36 = pyproj.Proj(init='epsg:27700')
wgs84 = pyproj.Proj(init='epsg:4326')
>>> pyproj.transform … (osgb36, wgs84, x, y)
(38.52757978082899, 40.955405746532314) …