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R. Kleinberg, J. Kleinberg, Isomorphism and Embedding Problems for Infinite Limits of Scale-Free Graphs.
In other words, if you take the absolute values and sum them over infinite limits, that's finite.
If we accumulate those values over infinite limits, then that in fact comes out to be infinite.
The difference in (30) and (43) is that we have overcome the infinite limits of integration.
The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration.
A Fourier transform cannot be used for this model as there are no infinite limits in the geometry.
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So what happens when we take the infinite limit, where we don't specifically say there's four clusters in these data, we allow some unbounded number of clusters.
So much for an infinite limit.
In just the same way, the larger the population, the less important the effect of random drift on gene frequencies; in the infinite limit, drift has no effect.
The finite or infinite limit lim_{rrightarrowinfty}r^{-aleph^mathcal{N}_{u}(r) is denoted by (mathscr{U}_{u}), when it exists.
Here, we apply it with n→0, instead of an infinite limit; it is not difficult to recast the theorem for the case under consideration.
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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