Sentence examples for matrix that transforms from inspiring English sources

For a given match pair m(p a, p b ), let T(p a, p b ) be the 4 × 4 spatial rigid body transformation matrix that transforms p a onto p b and O(p a ) onto O(p b ).

A matrix of dimensions m × n was then constructed for the residues of S and T as (1) M = M 1,1 M 1,2 ⋯ M 1, n M 2,1 M 2,2 ⋯ M 2, n ⋯ ⋯ ⋯ ⋯ M m, 1 M m, 2 ⋯ M m, n, where the element M ij is a rigid-body transformation matrix that transforms the triplet σ i to τ j (i.e., M ij σ i = τ j ).

Simultaneous small- and wide-angle X-ray scattering combined with AFM and TEM images reveal in the melt a bulk morphology of hexagonally packed cylinders of PEO in a PBh matrix, that transforms into a hexagonal perforated lamellar phase upon crystallization.

Direction cosine matrix that transforms the vector from navigation frame to IMU body frame.

( {mathrm{C}}_n^b ) :  Direction cosine matrix that transforms the vector from navigation frame to IMU body frame.

R k is a rotational matrix that transforms absolute coordinates to relative coordinates based on the k th surface.

Let W 1,W 2 be two distinct matrices that transform H into two distinct but identically punctured LTMs L 1 and L 2. Then the orthonormal bases of the column space of W 1 and W 2 are both identical to that of H, and begin{array}{cc}{mathbf{L}}_1& ={mathbf{R}}_1^{ast }{left({mathbf{R}}_2^{ast}right)}^{-1}{mathbf{L}}_2,kern1em {mathbf{W}}_1={mathbf{R}}_1{mathbf{R}}_2^{-1}{mathbf{W}}_2end{array} (16).

Commanders acknowledge that forces reaching Baghdad after the invasion last year understood little of the tribal underpinnings of Mr. Hussein's power -- a social, economic, religious and political matrix that was transformed, after his overthrow, into a platform for underground resistance.

Mathematically, the IC algorithm is a matrix scaling or balancing method that transforms a symmetric matrix into one that is doubly stochastic, meaning that the row and column sums of the matrix are equal to 1.

We first approximate the optimal MDDT by a proper transform matrix that can be implemented with butterfly-style operation.

At least five matched point sources were used to compute the coordinate transform matrix that relates the image pixel coordinates to the sky coordinates.