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We used the underscore notation to indicate a vector derived from an image scanned in lexicographic order [8].
However, a couple of basic notations will be given now: the bold characters (mathbf {z}_{1}^{M}) and (hat {mathbf {z}}_{1}^{M}) indicate a vector of measurements (z 1,⋯,z M ) and a vector of codewords ((hat {z}_{1},cdots,hat {z}_{M})), respectively, and the parameter θ is treated as a vector of parameters (θ 1,⋯,θ N ).
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T indicates a vector transpose.
Here, the 'dot' indicates a vector product in R n.
Here, the superscript "Tr" indicates a vector transpose.
Here, the superscript ((T)) indicates a vector transpose.
where q i denotes the number of inequalities determining the ith subspace and ≼ i indicates a vector of q i dimensions with "<" and "≤" symbols as its members.
A bold letter indicates a vector and the corresponding regular italic font (of the same symbol) represents the magnitude of the vector, and a bold upper case letter represents a matrix.
Equation 6 shows a Gaussian representation for (mathbf R). begin{aligned} mathbf {R(x_i,x_j)} = exp left( -sum _{m=1}^{k} theta _m |x_{m_{i}} - x_{m_{j}}|^2right) end{aligned} (6)In this equation, (theta) indicates a vector of parameters used to fit the model, n is the number of runs, k is the number of factors, and (x_{m_i}) and (x_{m_j}) are the mth factor levels of design runs.
We use the term phenotype to indicate a binary vector of discretized P-values resulting from either a pairwise test (GSEAlm) or single sample (GSVA GSAA.
Moderate transitions and broad mosaics are difficult to indicate in a vector vegetation map, whereas RS probabilistic classifications can output images indicating core areas, important for key species and biodiversity pattern, and transitional zones, important for ecosystem processes and perhaps plant evolution, which distinction is important for conservation planning.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com