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ROBERT V. HILL, M.D.

AMA Arch Ophthalmol. 1957;57(2):259-265.

	Since this article does not have an abstract, we have provided the first 150 words of the full text PDF and any section headings.

It would be highly desirable to have a mathematical analysis of the normal functions and interrelationships of accommodation and convergence. These two functions seem to behave mathematically, i. e., they follow with absolute constancy (of unit measure) certain predetermined patterns; therefore, with a "physiologically ideal" relationship between his accommodation and convergence, for a given patient there can be only one mathematically correct value for each function. Although this would seem obvious, I have been unable to find a specific treatise on these mathematical identities and interrelationships. The probable reason is that accommodation has been treated as an algebraic and convergence as a nonalgebraic function. Using constant units of measurement it is impossible to express in a simple equation the coordinate roles of an algebraic function (accommodation) and a transcendental or nonalgebraic function (convergence).

It is my purpose to describe how this problem can be solved by changing the transcendental function . . . [Full Text PDF of this Article]

Author Affiliations
Longview, Wash.

From the Department of Ophthalmology, University of Oregon Medical School.

Footnotes
Received for publication Aug. 31, 1956.

Read before the Western Section of the Association for Research in Ophthalmology, San Francisco, Feb. 7, 1956.

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