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The similarity is then obtained by taking vector pairs, each pair being constituted by the vector candidate to be assigned to a cluster and the vector representing the average of each cluster previously created.
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The space [ L h p ] n is constituted by the vectors (v1,..., v n ) such that v j is a differential form of L h p ( j = 1,..., n ).
The complex slowness vector of each inhomogeneous wave is constituted by the values of phase velocity and attenuation parameters.
It is constituted by the hierarchical four layers.
Tools for evaluation were constituted by the following: 1.
Where w is a vector constitute by the words end-to-end.
Thus, there is U H U=I M and V H V=I K. V is constituted by K column vectors, i.e., v 0,v 1,…,v K−1.
(C_i) is an instantaneous coordinate system constituted by two tangent vectors ((frac{partial c_c}{partial u_c}) and (frac{partial c_c}{partial v_c})) and their outward normal ((n_c)) at (p_{c_i}) with respect to the object.
ϕ = { ϕ s} is a column vector constituted by fluorescent measurements from all the projections.
where u t, v t, and ∂ i u t are vectors constituted by discrete time samples of ground displacement, ground velocity, and spatial gradients of ground displacement, respectively.
where Q opt is the optimal Q, Φ 1 is an M×M diagonal matrix, and (mathbf {V}_{2}^{H}) and U 1 are unitary matrices constituted by right- and left-singular vectors of (overline {mathbf {H}}_{2}) and (overline {mathbf {H}}_{1}), respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com