How does the principal axis relate to the Zernike polynomials used to describe optical aberrations?

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Sep 22, 2024 ... σd (dihedral): dihedral planes are parallel to the principal axis and bisecting two C2' axes. Inversion and Inversion Center (i). The inversion ... Lecture Summary. Conventions for Axes. The axis of the highest order rotation is known as the principal axis. By convention ... (6,7). This paper describes work on an analytic approach, the principal axis transformation, which is appealing because of its computational. What is a spherical mirror called? Explain the pole, center and principal axis of this mirror. View Solution · Define the following: Principal axis of a mirror ... Principal axis theorem ... In geometry and linear algebra, a principal axis is a certain line in a Euclidean space associated with a ellipsoid or hyperboloid, ... factor.pa: Principal Axis Factor Analysis. Description. Among the many ways to do factor analysis, one of the most conventional is principal axes. An eigen ... Stopping condition: principal axis. Description. Stop if addition of 0.1 * sigma in a principal axis direction does not change mean value. large values on this axis), whereas the second principal axis reflected pH and phosphate concentrations (sites with high pH and high PO4 concentrations had ... The principal axes are those for which the product of inertia is zero. For any arbitrary shape there exists a set of axes which result in zero product of ... Determine principal axes of each frame determined by diagonalization of the inertial matrix from the coordinates of the specified atoms.
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