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Discover LudwigThe phrase "at the endpoints" is correct and usable in written English.
It can be used in contexts related to mathematics, programming, or discussions about limits or boundaries.
Example: "The function is defined at the endpoints of the interval, ensuring continuity."
Alternatives: "at the boundaries" or "at the limits".
Exact(59)
The 20 computer experts and cryptographers who drafted the report say the only way that companies can meet wiretap orders is to re-engineer the way their systems are built at the endpoints, either in the software or in users' devices, in effect creating a valuable listening station for repressive governments as well as for ordinary thieves and blackmailers.
The maximum DEP forces are located at the endpoints of the electrodes.
Continuity at the endpoints of curves is also discussed in the merging process.
At the endpoints of J, we consider the one-sided derivatives.
Second, it is shown that the solution is logarithmically singular at the endpoints.
So, it is clear that we can get a maximum value at the endpoints.
At the endpoints of the interval T, we consider only the one sided gH-derivatives.
As follows by calculus, in each interval, attains its minimum at the endpoints.
The derivatives at the endpoints of the segment are understood as the appropriate unilateral derivatives.
The limits of the functions and at the endpoints of the definition domain are,,,.
The last two cases will be endowed with Robin boundary conditions at the endpoints.
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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