The mapping points are considered on the bisector
plane of [X.
The curve vividly confirms the multifractal character of the damage distribution since it possesses all the features of the multifractal spectrum: (a) it is a cup convex curve that lies under the bisector
f = [alpha] (dashed line in Fig.
The most important clustering-based techniques are: Bisector
Trees (BST) , Generalized-Hyperplane Tree (GHT) , Geometric Near neighbor Access Tree (GNAT)  and Spatial Approximation Tree (SAT) .
2], respectively), and the graph of b=x, which, being the bisector
of the first and third quadrant, maps any value of parameter b from the b-axis on the x-axis so that the corresponding values of [x.
Three regression techniques were applied: Deming, OLS Bisector
, and a Passing-Bablok procedure (20).
It is well-known that the tangent line PT to the parabola at any point P is the bisector
of the angle between PF and PH, the perpendicular from P to the directrix.
Hopefully will never have to differentiate, integrate or work out the perpendicular bisector
of two points ever again
We plan, for example, to go through the procedure of building a triangle given its height, median, and angle bisector
drawn from the same vertex.
Figure 2 shows a basic paper-cutting procedure to construct a square from a rectangular sheet of paper, while figure 3 illustrates the use of an angle drawn on paper to construct the angle's bisector
by folding one side of the angle onto the other.
In Table 7, ordered residues versus the quantiles of N(0,1), the points are quite close to the bisector
of the 1st quadrant and it indicates that the normal distribution for logV seems reasonable.
TABULAR DATA FOR TABLE 7 OMITTED] Two bisector
axes were then chosen to define the boundaries between the different groups.
This insight allows us to look at the circle and the perpendicular bisector
from alternate perspectives, thus strengthening our conceptual understanding of those two objects and of geometry.
If the midtarsal joint is flexible, it is generally agreed that gentle forces should be applied to orientate the forefoot so that the plane of the metatarsal heads are perpendicular to the vertical bisector
of the calcaneus .
As is known, an equilateral hyperbola is symmetric with respect to the bisector
of the angle XOY in the first quarter.
Several techniques have been explored to improve the determination of markers of elliptical objects: the use of the elliptical distance in place of Euclidean distance (Talbot and Appleton, 2002), the bisector
(Meyer, 1979) or conditional bisector
(Talbot and Vincent, 1992) functions, etc .