Definitions for to a first approximation
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The New Hacker's Dictionary
to a first approximation
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).
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"to a first approximation." Definitions.net. STANDS4 LLC, 2014. Web. 2 Aug. 2014. <http://www.definitions.net/definition/to a first approximation>.