From the volume point of view, they will be homogeneous – similar stands, but from the structure or height point of view, they will be significantly different.
As shown in Table 2, only the columns of 50 mm end eccentricity developed tensile strain on the longitudinal bars at the mid-height point.
However, this expression was derived for columns subjected to equal end eccentricities, i.e., the maximum moment occurs at the mid-height point of the column.
The continued high investment in diameter growth at late stages and the asymptotic height point to low tree density and more frequent xylem embolism as the main drivers of tree allometric shape in DTW.
The application of end eccentricities at column ends changed the strain distribution along the column cross-section at the mid-height point, where tensile strain maybe developed based on the end eccentricity value as well as the curvature mode.
In the figure, a beam with a cross section of 200 mm × 300 mm was connected to a column with a cross section of 300 mm × 300 mm at the mid-height point.
In terms of dental history, the presence of tooth restorations (p = 0.056), endodontic treatment (p = 0.379), orthodontic treatment (p = 0.125), edentulism (p = 0.718), and underlying alveolar ridge height (point G to H, p = 0.889) were not associated with mucosal thickening.
That can be attributed to that the section of the maximum lateral deformation due to axial compression is around the mid-height point, while this location has minimal effect of bending moment for column bent in double curvature mode.
The measured lateral deformations of all columns having equal end eccentricities and bent in single curvature mode were approximately symmetrical about the mid-height point as depicted in Fig. 8a.
We described and demonstrated the 3D and subsequent 2D analyses on the presented 3D fragmentation index which can be combined with the commonly used 2D (or 2.5D) metrics such as canopy height, point density, mean intensity, some of the more specific point cloud measures such as canopy-relief ratio [45], or spectral and hyperspectral data.
The multifractal spectrum can be used to describe and compare spatial patterns of biomass, density, height, point patterns, or any continuous variable.
