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However, with the increase of θ, the differences between these two coordinates are become bigger and bigger.
here (^{I}T^_{C}) is the transpose of I T C. To find the transformation from (F C ) to (F R ), we use the static relationship between these two coordinates.
The difference between these two coordinates is the incremental (Delta left( x,y right)) of this coordinate system: begin{aligned} Delta (x,y)=f(p'(x_{N},y_{N}), theta _{0}-theta _{N} -p(x_{0},y_{0}) eN} -pgned} (8) where f is the coordinate system rotation function.
DEL = Deletion; DUP = Amplification *Start/end coordinates determined from largest region of overlap between any two platforms; size is the difference between these two coordinates (Build 36).
DEL = Deletion; DUP = Amplification, NT - Not tested; Pos = Positive; Neg = Negative; N/T = Not tested *Start/end coordinates determined from largest region of overlap between any two platforms; size is the difference between these two coordinates (Build 36).
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The transformation between these two coordinate systems is given by (2) Due to the different geometries on the dayside and in the tail, in the M-coordinate system not only Cartesian, but also spherical (r, ϑ, λ) and cylindrical (ρ, ϑ, z) coordinate representations are used.
The relationship between the two coordinates is {mathbf{x}}' = {mathbf{x}} - {mathbf{v}}t.
To match the two Cartesian coordinates that are on the PSD chip surface and on the position sensing software interface, a rotation matrix (left {begin{matrix} cos theta &-sin theta sin theta &cos theta end{matrix}} right)) has been used to correct the mismatch between the two coordinates, where (theta = 2.29) is the calibrated mismatch angle between the coordinates.
To calculate the read densities within genomic regions (genes/exons), we summarized the number of reads occurring within a given genomic start and end coordinates and divided this number by the length of the interval between the two coordinates.
An algorithm is then used to find the best transformation between the two coordinate systems using these two data sets.
As stated above, the rotor can be used to realize the rotation between the two coordinate systems.
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Justyna Jupowicz-Kozak
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