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In this mapping matrix, each DO term also include the mappings of its offspring.
The mathematical expression of the sensor's force mapping matrix is built by using the screw theory.
The effect of spherical joint frictional moment on the sensor is established by using the related force mapping matrix.
Force distribution analysis of the sensor is conducted based on the mathematical model and force mapping matrix.
The design of a static balancer with multi-dof gravity compensators is conducted: 1. perform the design only with the one-dof gravity compensator space to determine the base mapping matrix between the joint and the one-dof gravity compensator space, 2. applying the equivalent mapping matrix to the base mapping matrix.
An equivalent mapping matrix is determined between rotation angles of a multi-dof gravity compensator and those of one-dof gravity compensators.
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By this strategy, a set of directional dictionaries is developed along with their mapping function (matrix).
Using domain mapping matrices and matrix-multiplication, the approach supports the identification of elements, whose definition should be reconsidered.
The application of graph theory to structural synthesis gives rise to Boolean and non-Boolean mapping matrices which organize the coupling force sign conventions.
Analytical expressions were derived for calculating the sensitivities of isotopomer distribution vectors, the weighted output matrix with respect to the fluxes, and the covariance matrix for the metabolic flux analysis based on isotopomers mapping matrices (IMM).
In [15], authors proposed a matrix factorization framework to build two mapping matrices for the training images and the auxiliary text data.
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