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Observations can also be associated with Euclidean basis vectors, and the aliasing map A has a natural extended interpretation as a |TO|-by-|TS| matrix mapping the state vectors to observation vectors.
Furthermore, since matrix mapping the chirp parameters to the respective motion parameters, defined in (12), is not exactly block diagonal, the target velocity does have a small effect on the chirp rate.
Using Eq. (36), we found that the solution of the driving forces/torques shown in Eq. (34) can be obtained directly using the weighted generalized inverse of the matrix mapping the driving forces/torques to the generalized external force [59].
For the passive overconstrained PMs, f consists of the magnitudes of all constraint wrenches (including actuation wrenches), ({varvec{G}}_{f}^{F}) is the coefficient matrix mapping the driving forces/torques and constraint forces/moments to the external loads, and the weighted matrix W is composed of the stiffness matrices of each limb's constraint wrenches, which cannot be actively selected.
For the active overconstrained PMs, f is composed of the magnitudes of all driving forces/torques, ({varvec{G}}_{f}^{F}) is the coefficient matrix mapping the driving forces/torques to the generalized external loads, and the elements of the weighted matrix W can be actively given according to different optimization goals.
Similar(55)
analysed and described the minerals on the fracture walls and in the rock matrix; mapped the fracture's voids (Gentier and Billaux 1989) by analysing images of the void casts; mapped the topography of the fracture walls by profiling with a laser profilometer; and.
Information was extracted from the documents using a matrix, mapping each document against the six objectives of the WHO 2008 2013 Action Plan for the Global Strategy for the Prevention and Control of NCDs and five dimensions: data source, aim and objectives of document, coverage of conditions, coverage of risk factors and implementation plan.
In the following, we will refer to the projection matrix, mapping a 3D point from the world reference system to the image plane Φ j, as M j.
This projection matrix maps the received vector y d to an orthogonal subspace (boldsymbol {mathcal { H}}_{hat {ell }}=left [begin {array}{cccc} boldsymbol {mathcal { H}}_{1}ldots & boldsymbol {mathcal { H}}_{ell -1} & boldsymbol {mathcal { H}}_{ell +1} & ldots boldsymbol {mathcal { H}}_{c}end {array}right ]).
On the basis of the different spectrums between Exenatide and the microsphere matrix map, the distribution of protein in the microsphere was determined.
Malkowsky et al. [18] defined a matrix mapping into the strong Cesàro sequence space [19] and studied the modulus function.
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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