1. In particular, the Rayleigh-Carson reciprocity theorem becomes a simple summation: 2. An Ehrhart-type reciprocity theorem will also hold for such a counting function. 3. Examples of circuits analyzed as two-ports are reciprocity theorems first derived by Lorentz. 4. Then, Green's reciprocity theorem states that, for integrals over all space: 5. However, the ionosphere is far too complex and constantly changing to support the reciprocity theorem . 6. Stern was very helpful to Ferdinand Eisenstein in formulating a proof of the quadratic reciprocity theorem . 7. Antennas : Dipole antennas; antenna arrays; radiation pattern; reciprocity theorem , antenna gain. 8. In the special case of a modal analysis this is known as Maxwell's reciprocity theorem . 9. The reciprocity theorem shows that there is a relation between strictly order preserving maps and order preserving maps. 10. As before, we can take advantage of the reciprocity theorem to provide a check on the accuracy of these measurements.