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1 definition found From The Jargon File (version 4.4.7, 29 Dec 2003) [jargon]: to a first approximation adj. 1. [techspeak] When one is doing certain numerical computations, an approximate solution may be computed by any of several heuristic methods, then refined to a final value. By using the starting point of a first approximation of the answer, one can write an algorithm that converges more quickly to the correct result. 2. In jargon, a preface to any comment that indicates that the comment is only approximately true. The remark ?To a first approximation, I feel good? might indicate that deeper questioning would reveal that not all is perfect (e.g., a nagging cough still remains after an illness).