Another set of tables turned out to be simple trigonometric functions; these were easily recognized once the cartographers had provided the units of circular measure. The headings of the columns of these tables gave the Lunarian symbols for sine, cosine, tangent, and the like. Once these were known, many of the mathematical expressions elsewhere started making more sense; some of them fell out immediately as familiar trigonometric relationships. These in turn helped establish the conventions used to denote normal arithmetic operations and that of exponentiation, which led to the identification of the equations of mechanical motion. Nobody was surprised when these equations revealed that Lunarian scientists had deduced the same laws as Newton. The mathematicians progressed to tables of elementary first integrals and standard forms of low-order differential equations. On later pages were expressions which they suspected might describe systems of resonance and damped oscillations. Here again, the uncertainty over units presented a problem; expressions of this type would be in a standard form that could apply equally well to electrical, mechanical, thermal, or many other types of physical phenomena. Until they knew more about Lunarian units, they could not be sure precisely what these equations meant, even if they succeeded in interpreting them mathematically.

Hunt remembered having noticed that many of the electrical subassemblies from Charlie's backpack had small metal labels mounted adjacent to plugs, sockets, and other input-output connections. He speculated that some of the symbols engraved on these labels might represent ratings in units of voltage, current, power, frequency, and so on. he spent a day in the electronics labs, produced a full report on these markings, and passed it on to Mathematics. Nobody had thought to tell them about it sooner.

The electronic technicians located the battery in the wrist unit from Tycho, took it to pieces, and with the assistance of an electrochemist from another department, worked out the voltage it had been designed to produce. Linguistics translated the markings on the casing, and that gave a figure for the Lunarian unit for electrical voltage. Well, it was a start.

Professors Danchekker and Schorn were in charge of the biological side of the research. Perhaps surprisingly, Danchekker exhibited no reluctance to cooperate with Group L and kept them fully updated with a regular flow of information. This was more the result of his deeply rooted sense of propriety than of any change of heart. He was a formalist, and if this procedure was what the formalities of the arrangement required, he would adhere to it rigidly. His refusal to budge one inch from his uncompromising views regarding the origins of the Lunarians, however, was total.