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Information pertaining to LU/LC has been mathematically modeled through land use transition matrix, with leading diagonal elements representing the land use of retained category of carbon accumulation and off-diagonal elements representing the changes in land use over a period of time.
The W u) matrix contains the geographical weights in its leading diagonal elements, and zero in its off-diagonal elements.
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Notice that the elements of the leading diagonal of the consistent mass matrix are positive.
The DRD matrix, [R]k, can be obtained by multiplying [A]k and [E]k, and those elements along the leading diagonal of the matrix [R]k are the DRD values corresponding to different slope zones in the kth period.
The range estimates can also provide information about the anisotropic propagation velocities by considering the difference between elements mirrored by the leading diagonal of the range estimation matrix.
The leading diagonal represents the correlations of the training models.
When the JDC problem is considered, a diagonal matrix D k) could contain some diagonal elements which, despite being non-zero, are many orders of magnitude lower than some other elements, leading to an ill-conditioned matrix C(k).
denotes the diagonal matrix with diagonal elements the elements of.
Here, is the diagonal matrix with diagonal elements.
All diagonal elements are non-negative.
The diagonal elements are nonnegative, and the off-diagonal elements are nonpositive, either 0 or -1.
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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