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The exponential‐mean‐log‐transference as a possible representation of the optical character of an average eye
Author(s) -
Harris W. F.,
Cardoso J. R.
Publication year - 2006
Publication title -
ophthalmic and physiological optics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.147
H-Index - 66
eISSN - 1475-1313
pISSN - 0275-5408
DOI - 10.1111/j.1475-1313.2006.00365.x
Subject(s) - conjecture , character (mathematics) , set (abstract data type) , exponential function , representation (politics) , mathematics , combinatorics , statistics , computer science , mathematical analysis , geometry , politics , political science , law , programming language
Abstract Considering a set of eyes, how does one define an average whose optical character represents an average of the optical characters of the eyes in the set? The recent proposal of the exponential‐mean‐log‐transference was based on a conjecture. The purpose of this note is to provide justification by proving the conjecture and defining the conditions under which it fails.