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.