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Though such errors are extremely uncommon, the switching of a value from a one to a zero can cause a computer to crash, or change the output of a program.
Moreover, we say that f satisfies the closest zero property if such a zero can be computed in constant time.
In particular, we have shown that a positive slope of the characteristic at a zero can imply instability, at least for certain graph topologies, which we call leading vertex graphs.
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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