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The station coordinates were fixed to ITRF2008 and the radio sources to ICRF2.
Model coordinates were fixed to prevent model deformation during the solvation process.
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The coordinates are fixed.
This is to say comoving coordinates are fixed but physical separations change.
The coordinates are fixed in that tradition, if not frozen, but Mr. Pierce finds them inspiring, and his conviction gets the album across, even when it's ridiculous, which it often is.
In this case, GCPs' world coordinates are fixed as error free values.
The origin of the horizontal coordinates is fixed at the summit crater of Minami-dake (130.66°E, 31.58°N).
The method of sequential updates corresponds to the coordinate descent method where multivariate optimization problem is solved by solving a sequence of scalar subproblems, each operating on a selected coordinate (scheduler) while all other coordinates are fixed.
Moreover, if the coordinates are fixed as above, then the complex tangent space T 0 c (b M ) = T 0 (b M ) ∩ i T 0 (b M ) is spanned by { ∂ / ∂ x j, ∂ / ∂ y j } 1 ⩽ j ⩽ n.
If such coordinates are fixed, we select uniquely an equation for bM by solving for Im z 0 : (6) b M = { (z 0, z ) ∈ C n + 1 : Im z 0 = f (Re z 0, z ) } where f (Re z 0, z ) = O (2 ) is a smooth, real-valued function.
The same equations as for the free rotation of a rigid body described in §C6 are used in this case, but the coordinates of one of the group are refined along with the rotation angles and shift [ i.e. equation (82) is used where all r's are refined, contrary to the rigid-body case where those coordinates are fixed input, usually taken from a collection of known chemical groups].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com