Principal planes: visual structure analysis by cluster biplot projection pursuit in a multinational survey. Applied Mathe- matics and Computation, 26, 303-314.Principal planes: visual structure analysis by cluster biplot projection pursuit in a multinational survey - Baaske - 1988...
Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. – Principal point (Persp.), the projection of the point of sight upon the plane of projection....
Principal of a quadric (Geom.), three planes each of which is at right angles to the other two, and bisects all chords of the quadric perpendicular to the plane, as in an ellipsoid. Principal point (Persp.), the projection of the point of sight upon the plane of projection. Principal...
For a conic, a straight line that passes through the midpoints of all the chords perpendicular to it. For a quadric surface, the intersection of two principal planes. (mechanics) One of three perpendicular axes in a rigid body such that the products of inertia about any two of them vanish...
It shows at once that on a surface of revolution M, all meridians are geodesics, since they are cut from M by planes passing through the axis of rotation and hence orthogonal to M. The essential properties of the three types of curves we have considered can be summarized as follows: ...
On lines and planes of closest fit to systems of points in space. Lond. Edinb. Dubl. Phil. Mag. J. Sci. 2, 559–572 (2010). Article MATH Google Scholar Hotelling, H. Analysis of a complex of statistical variables into principal components. J. Educ. Psychol. 24, 417–441 (1933)...
Therefore, the usual way of defining this surface is by cutting it with sets of planes parallel to the planes of coordinates. Let the x-axis run along the ship, the y-axis be transversal, and the z-axis, vertical. The sections of constant x are called sta- tions, those of constant ...
from the projection of individuals in a pca, their dispersion in planes with reduced dimensionality can be observed, as well as the principal components (pc) needed to explain ~50% of the total variance. a categorical variable can be used to divide all the individuals in k groups of n ...
In either case, we define the principal planes of the lens by the geometrical construction shown in Figure 5. Specifically, the secondary principal plane is constructed by tracing through the lens a ray that is parallel to the axis of the lens and then extending that ray or the emergent ray...
PCA is mathematically defined as an orthogonal linear transformation that transforms the data to a new coordinate system such that the greatest variance by any projection of the data come to lie on the first coordinate (called the first principal component), the second greatest variance on the sec...