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Indeed, consider the junction tree defined by n variable clusters C i = { r i, h j, o i j | j ∈ Po (i ) } connected into a path ordered by i.
Let T be a junction tree for P defined by clusters C j = { r i, h j, o i j | min Po (i ) ≤ j ≤ max Po (i ) } for j = 1, …, m connected into a path ordered by j, with C m serving as the root.
D efinition 3 Let T be a junction tree for P defined by clusters C j = { r i, h j, o i j | min Po (i ) ≤ j ≤ max Po (i ) } for j = 1, …, m connected into a path ordered by j, with C m serving as the root.
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On the other hand, carbon nanotubes [CNTs] are known for having long mean free path (order of several microns), extremely high current densities (> 109 atcm25°C 25°C), and high aspect ratio.
Finally, all of the path rank orders are quantified and compared using many absolute and relative measures (based on interfacial force, receiver motion and sub-system energy relationships).
In this article we utilize simplified, but pedagogical, discrete vibratory systems to clarify the underlying principles of both methods and to assess the path rank orders.
The final product of this step is a list of path patterns, ordered by relevance and separated by domain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com