In order to obtain the seminvari ants we would write down the (w; 0, n) terms each associated with a literal coefficient; if we now operate with 52 we obtain a linear function of (w - I; 8, n) products, for the vanishing of which the literal coefficients must satisfy (w-I; 0, n) linear equations; hence (w; 8, n)-(w-I; 0, n) of these coefficients may be assumed arbitrarily, and the number of linearly independent solutions of 52=o, of the given degree and weight, is precisely (w; 8, n) - (w - I; 0, n).
The displacement amplitude at the resonance frequency with increasing applied voltage does not increase linearly.
It is only really defined for linearly polarized antennas.
Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed.
For oblique propagation waves become linearly polarized at the crossover frequency.