Definition of infinate

(Nathan Rapport, ""I've Been Here before!"...)

We know that the number of radio and television impulses , sound_waves , ultra-violet rays , etc. , that may occupy the very same space , each solitary upon its own frequency , is infinite .

So we may conceive the coexistence of the infinite number of universal , apparently momentary states_of_matter , successive one_after_another in consciousness , but permanent each on its own basic phase of the progressive frequencies .

that the dream was a reality on the infinite progressions of universal , gradient frequencies , across which the modern professor and the priest of ancient Nippur met ?

(R. P. Jerrard, "Inscribed squares in plane curves"...)

In the following paper it is shown that in a certain definite sense , exactly an odd number of squares can be inscribed in every such curve which does not contain an infinite number of inscribed squares .

This prevents the occurrence of an infinite sequence of isolated tangent points .