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Here, P1 and P2 are (k−1) dimensional proportion vectors of variable with k levels in VF/VT and non-VF/VT groups, respectively.
D denotes standardised difference defined as √(P1−P2)′∑−(P1−P2), where (k−1) dimensional proportion vector P1−P2 in variable with k levels is considered to follow (k−1) dimensional normal distribution Nk−1 (0,∑).
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How does multimodal learning enhance insight into three dimensional proportions such as in human anatomy (Marks 2000)?
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A two-dimensional damage proportion matrix is calculated by considering the proportions of various damage states for different structure types using GIS software, which has the same table structure as Table 3.
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The approach used here allows us to capture and visualize the complexity of these relationships in high dimensional data, rendering large proportions of the data available for analysis.
(Lamiaceae) is the most important and highly valued commercial hardwood timber in the tropics due to its high durability, dimensional stability, heartwood-sapwood proportions, weightlessness and resistance to weathering.
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There are different ways to proportion this three-dimensional construct, of which we only present the isotropric mapping3.
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