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First, an improved 3D line-of-sight guidance law that makes full use of the essentially equivalent coordinate transformation is derived to transform 3D path following position errors into controlled guidance speeds, which also reduces the path following system form second-order to first-order.
In finite element formulation, a 6 × 6 transformation matrix is derived to transform the system element matrices before assembly.
In the rest of this section, two lemmas are derived to transform (10) into a manageable form.
The new mapping equations are derived to transform the images captured by the fisheye lens camera into the undistorted remapped ones under practical circumstances.
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To this end, some results in each case of differentiability were derived which led to transform the original FFDE to the corresponding fuzzy Volterra integral equations.
The sine-cosine wavelet operational matrix of fractional integration is derived and utilized to transform the equations to system of algebraic equations.
This section proposes reducing the complexity of finding the optimal solution to the maximum-delay reduction problem by deriving a sufficient condition to transform the maximum weight clique search to a maximum clique problem.
All recombinant plasmids derived from pPIC9 were used to transform P. pastoris GS115 by electroporation after linearization with BglII.
CECs are mature endothelial cells that have detached from the intimal monolayer of blood vessels in response to endothelial injury [6], whereas EPCs are immature, bone-marrow derived cells with the capacity to transform into mature endothelial cells and promote postnatal angiogenesis and vasculogenesis [7] [9].
The term W denotes conversion factors to transform benefits derived from treating a patient into monetary values.
Interestingly, the fate of the local inflamed tissue (death or restoration) in the brain may thus depend on (1) the ability of the CP to transform parenchyma derived signals into other peripheral macrophages recruitment signals, or (2) the barrier properties of the CP with respect to inflammation-resolving macrophages migrating through the barrier [ 23].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com