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Compute the transformation matrices U and V of 2D PCA (or 2D PLS, respectively), using the reduced t f matrices set { X ̂ ( 1 ), X ̂ ( 2 ), …, X ̂ ( K ) }. Transform the reduced t f matrices X ̂ ( k ) into the reduced feature vector z (k), as. for k=1 to K do.
Transform the reduced t f matrices X ̂ ( k ) into the reduced feature vector z (k), as .
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As with the results from Table 3, log-transforming the data reduced the CV in all simulations.
By using the Kontorovich Lebedev transform the problem is reduced to finding the solution of a sixth order difference equation derived from the membrane boundary condition.
By using the Fourier transform, the problem is reduced in explicit form to a hyper-singular integral equation with a convolution kernel valid over the crack length.
By means of space and time Fourier transform, the solution is reduced to a set of fundamental solutions which are related to different symmetries.
A far more subdued Satya Nadella, Microsoft's chief executive, who is trying to transform the company and reduce its dependence on the Windows operating system, referred to "challenges".
Using the superposition theorem and the Fourier integral transform, the present problem is reduced to a set of coupled Cauchy singular integral equations.
Rounding noise in the transform can reduce the efficiency of the lossy coding structure.
The discrete Fourier transform reduces the dimensionality of the joint trajectories by assuming that the most crucial information is concentrated in the lower frequency components.
The scheme uses the Fourier transform to reduce the original BIE defined on a surface to a sequence of BIEs defined on a generating curve for the surface.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com