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In a fixed coordinate system, the gyration tensor is a symmetric matrix, where and can take values corresponding to the two coordinates, defined as the center of mass is defined as in (2), and is the perimeter.
For Precise Orbit Determination of altimetry missions, we have computed a data set of DORIS station coordinates defined for specific time intervals called DPOD2005.
To map the formation of these structures, we developed a broadly applicable, high resolution, recombinase-based method for mapping the fate of cells originating from coordinates defined by intersecting combinations of expressed genes.
The inhomogeneous 2-D wave equation for the non-uniform thickness case is derived in two dimensional curvilinear coordinates defined on a curved surface by the application of Hamilton's principal.
Details of the relationship among coordinates defined for the MSC and WPT-S is provided in "Overview" section.
In such case, the initial candidate position is defined as the mean computed among the coordinates defined by the intersection of the line defined by the references with the parallel lines [19].
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The first 3 entries are the (x,y,z) coordinates define control points for Bezier curves.
The objective and constraints are nonlinear polynomial functions of the point coordinates defining the cross-sectional shape.
Moreover, the formula is directly expressed as function of the coordinates defining the vertices of the polygon, thus avoiding the use of complex variables and anomalies.
In the proposed method, coordinates defining the vertices of the blocks are treated as unknowns, and the optimal geometry is found by successively perturbing the vertex coordinates and block velocities, starting initially from a user-specified arrangement of blocks.
In indexing spatial data such as maps and astronomical images, the textual index specifies the search areas, each of which is further described by a set of coordinates defining a rectangle or irregular polygon.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com