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In three-dimensional geometry, the girth of a geometric object, in a certain direction, is the perimeter of its parallel projection in that direction. [ 1 ] [ 2 ] For instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square , which has four as its perimeter.
A cubic graph (all vertices have degree three) of girth g that is as small as possible is known as a g-cage (or as a (3,g)-cage).The Petersen graph is the unique 5-cage (it is the smallest cubic graph of girth 5), the Heawood graph is the unique 6-cage, the McGee graph is the unique 7-cage and the Tutte eight cage is the unique 8-cage. [3]
American Forests, for example, uses a formula to calculate Big Tree Points as part of their Big Tree Program [3] that awards a tree 1 point for each foot of height, 1 point for each inch of girth, and 1 / 4 point for each foot of crown spread. The tree whose point total is the highest for that species is crowned as the champion in their ...
American Forests, for example, uses a formula to calculate Big Tree Points as part of their Big Tree Program [3] that awards a tree 1 point for each foot of height, 1 point for each inch of girth, and ¼ point for each foot of average crown spread. The tree whose point total is the highest for that species is crowned as the champion in their ...
American Forests, for example, uses a formula to calculate Big Tree Points as part of their Big Tree Program [3] that awards a tree 1 point for each foot of height, 1 point for each inch (2.54 cm) of girth, and ¼ point for each foot of crown spread. The tree whose point total is the highest for that species is crowned as the champion in their ...
On sloping ground, the "above ground" reference point is usually taken as the highest point on the ground touching the trunk, but some use the average between the highest and lowest points of ground. If the DBH point falls on a swelling in the trunk it is customary to measure the girth below the swelling at the point where the diameter is smallest.
The calculation of the distribution of the mean for most circular distributions is not analytically possible, and in order to carry out an analysis of variance, numerical or mathematical approximations are needed. [14] The central limit theorem may be applied to the distribution of the sample means.
Some examples are the even cycles C 2n, the complete bipartite graphs K n,n with girth four, the Heawood graph with degree 3 and girth 6, and the Tutte–Coxeter graph with degree 3 and girth 8. More generally it is known that, other than the graphs listed above, all Moore graphs must have girth 5, 6, 8, or 12. [ 6 ]