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The phrase "a perfect approximation" is correct and usable in written English.
It can be used when discussing a measurement, calculation, or representation that is very close to the actual value or concept, though not exact.
Example: "In mathematics, we often use a perfect approximation to simplify complex equations for easier understanding."
Alternatives: "an ideal estimate" or "a close representation".
Exact(6)
(Chinen 20100211 ★ FREDDY COLE AND VALENTINE SWING (Friday through Sunday) Mr. Cole's most recent album, "The Dreamer in Me" (HighNote) — recorded a couple of years ago, around Valentine's Day, at Dizzy's Club Coca-Cola — presents a perfect approximation of what this superb jazz singer will exude here.
Via combining preserving the consistency of local neighbor information and class labels information, S-LapEig can not only gain a perfect approximation of low-dimensional intrinsic geometric structure within the high-dimensional observation data, but also enhance local within-class relations.
From Fig. 11, we show that Corollary 2 provides a perfect approximation of Corollary 1.
Since measuring the PDR introduces a lot of inaccuracies, we do not need a perfect approximation of the energy consumption.
If an extremely large number of rays is launched, the launching pattern provides a perfect approximation of the real antenna pattern.
This observation suggests that at least one of the key assumptions, that the rate constant for transitions is the same at all sites in all genes, is not a perfect approximation to reality.
Similar(54)
A second approximation denoted as MMSE-IC2 [20] assumes a perfect estimation of transmitted symbols ((sigma _{hat {s}}^{2} ={sigma _{s}^{2}})) to overcome the matrix inversion at each iteration.
Technically, using a truncated polynomial expansion to approximate a generalized function such as a Dirac delta is a far from perfect approximation.
No one walks that way, and yet those feet are such a perfect comic approximation of the idea of walking that they've entered our subconscious as a kind of semiplausible reality.
In other words, how good is a perfect plasticity approximation, which assumes that assimilation indices depend only on tree size.
They proposed a perfect plasticity approximation (PPA) as a limit where crowns are free to move so as to equalize competition intensity along their periphery.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com