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It is generated by two non-commuting subgroups: the Matzner–Misner group (after Richard Alfred Matzner and Charles W. Misner) of linear combinations (with constant coefficients) of the two Killing vector fields associated with the spacetime's axisymmetry and stationarity, and the Ehlers group.
Affine hyperplanes are used to define decision boundaries in many machine learning algorithms such as linear-combination (oblique) decision trees, and Perceptrons.
Going back to the equation for its solution is a linear combination of Bessel functions and
Turning to the equation for with the observation that all solutions of this second-order differential equation are a linear combination of Bessel functions of order 0,