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The phrase "slight extension of" is correct and usable in written English.
You can use it to indicate that something has been extended or stretched by only a small amount. For example, "The deadline for submitting applications has been given a slight extension of one week."
Exact(21)
John explained that, some years before, he had permitted a slight extension of the bar and it had never looked right to him.
Overall, though, Vettel was content with third place and a slight extension of his cushion to his rivals, with Alonso 39 points down and Hamilton 48 behind.
And representatives of Wikimedia have been playing down the significance of this change, claiming it is only a slight extension of a policy that is already in place, and therefore not a wholesale re-evaluation of its founding philosophy.
The argument requires a slight extension of our epistemic logic, to accommodate the notion of knowability.
The following slight extension of Theorem 3.3 can be proved easily.
The formula of Theorem 3.3 is slight extension of the result in [[26], Theorem 1].
Similar(39)
In the case of self-assessment, five possible classifications are possible, thus requiring a slight extension to the traditional definition.
Points 7 and 8 in the near sub-surface indicate slight extension with the opening of horizontal microcracks (decrease of vertical velocity of 1 m/s) with a more prominent horizontal velocity increase (roughly 5 m/s) perpendicular to the long-axis.
Accordingly, lms shows extensive co-expression with high-level Cut in the anterior ∼1/2 of the distal domain, albeit with a slight extension into the low-Cut domain (Fig. 7B).
In fact, their forest representation is a slight extension over this.
According to Touwen [ 7] a score of 0 was given for an absent reaction, a score of 1 when it was incomplete (slight forward extension of the arms with or without spreading of the fingers) and a score of 2 for a complete reaction (symmetric extension of arms with extension and spreading of fingers).
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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