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The paradigmatic non-intentional process is the process of natural selection by which Charles Darwin explained the phylogenetic evolution of biological species: natural selection sorts organisms that survive.
Their paper describes the natural system by which brown fat cells are generated from their precursors.
Biogeochemical cycle, any of the natural pathways by which essential elements of living matter are circulated.
In particular we can imagine increasingly plausible natural mechanisms by which our universe came into existence from non-existence.
The natural processes by which they form range from chemical weathering to stream, marine, and wind action.
The discovery of RNAi, a natural phenomenon by which cells silence genes, electrified scientists and led to a Nobel prize in 2006 for its discoverers.
But the advent of the chairlift puts an end to a valuable process of natural selection, by which those who reach the hut are sure to find, in its pure state, a small sample of a little-known human subspecies.
Vico asserted that the influential Cartesian treatise The Port-Royal Logic, by the Jansenists Antoine Arnauld and Pierre Nicole, inverted the natural course by which children learn by insisting on a training in logic at the beginning of the educational process.
The natural process by which meat becomes tender is complex.
It provides people with the sustenance and natural resources by which they live.
A recent Washington Post article explained this well: "[This] is the natural dynamic by which market economies become richer as productivity improves.
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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