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The phrase "appearance of large numbers" is correct and usable in written English.
It can be used in contexts discussing statistical phenomena, probability, or visual representations of data where large quantities are involved.
Example: "The appearance of large numbers in the dataset suggests a significant trend that warrants further investigation."
Alternatives: "manifestation of large quantities" or "display of significant figures".
Exact(7)
For example, Meyer presents a chart on page thirty-five of "Darwin's Doubt" that appears to show the sudden appearance of large numbers of major animal groups in the Cambrian: the smoking gun.
In the case of at least the common house martin, the start of egg laying appears to be linked to the appearance of large numbers of flying aphids, which provide a stable and abundant food supply.
The sudden appearance of large numbers of raiding horsemen often gave agricultural peoples the impression that vast hordes roamed the steppelands, waiting to pounce on undefended villages and towns.
The Fw 190's career as a bomber destroyer was cut short by the appearance of large numbers of drop-tank-equipped P-38 Lightnings and P-47 Thunderbolts over Germany in late 1943, for the Focke-Wulf could not match the performance of these turbo-supercharged U.S. fighters above 30,000 feet (9,100 metres).
Above average rainfall may result in the rapid appearance of large numbers of boletes, in what is known in some circles as a "bolete year".
RVF outbreaks are associated with persistent heavy rainfall, sustained flooding and appearance of large numbers of mosquitoes, the main vector.
Similar(53)
Such structural difference perturbs the degeneracy of the ν2, ν3 and ν4 modes in the pyroxene infrared spectra (Sterns 1974) causing the appearance of larger number of IR bands as a result of the different bonding between the terminal (Ot) and bridging (Ob) oxygen to the Si atoms.
This is the law of large numbers.
Laws of large numbers.
The law of large numbers guarantees that.
Call it the irony of large numbers.
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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