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The phrase "allocated for the first" is correct and usable in written English.
It can be used in contexts where resources, time, or tasks are designated for an initial phase or group.
Example: "The budget has been allocated for the first quarter of the year to ensure all projects are funded."
Alternatives: "designated for the first" or "set aside for the first".
Exact(8)
More than $90 million has been allocated for the first stage of the project, a cabinet statement said.
The £15bn was first allocated in the 2013 Whitehall spending round, but Monday's announcement sets out details about how the money will be allocated for the first time.
Let t ∈ (0,1) be the fraction of time allocated for the first stage, which is also referred to as the timesharing value.
The huge expansion in university access over the past 50 years has been a quiet but relentless revolution - and this autumn more than 500,000 places were allocated for the first time.
A healthy budget is allocated for the first year.
An unrestricted grant from Merck Sharp and Dohme (MSD) was allocated for the first five years of the ESPOIR cohort study.
Similar(52)
Twenty-four herds were allocated to monensin treatment for the first period of trial, and 23 herds were allocated for the second period.
In this paper, wireless video transmission protocols are proposed, in which the spectrum resources are first allocated for the source side to broadcast video packets to the relay and destination, and then for the relay side to transmit side information generated from the received packets.
During the 90 seconds allocated for the warm-up, for instance, every competitor seem to leap, spin or walk on their hands at once, creating a mood that was less gymnastics meet, more Cirque de Soleil.
A sixth qualifying position was allocated for the 126-, 160-, 160-, 195-, and 220-pound weight classes.
In early February, the company made an accelerated delivery of one of the two doses Dr. Schubert had been allocated for the first quarter of the year, she said.
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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