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A similar type reduction holds if the Conjecture is valid for residually polycyclic groups and just-infinite groups.
Finally, we present an Aizerman-type conjecture for discrete-time systems and show that this conjecture is valid for positive systems.
If the conjecture is valid, then we can characterize the leader vectors f k more clearly, i.e., Q n f k = ∑ i = 0 k ( − 2 ) k − i ( k i ) H n − k − i ( x ) H 2 i ( y ) H k − i ( z ).
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In this paper, we give new conditions under which the Cîrtoaje's conjecture is also valid.
Then the Ω Conjecture holds and the AD+ Conjecture is Ω-valid.
Indeed, our next theorem shows that the Cushing-Henson Conjecture [21, 22, 25, 26, 29] is valid for (4.1).
If, then, the conjecture of the cell as a Turing machine is valid, apparent paradoxes such as the controversial 'adaptive mutations' that enable the cell to invent novel metabolic pathways should not be unexpected (Cairns et al., 1988; Danchin, 1988b).
Furthermore, we present an Aizerman-type conjecture for discrete-time systems and show that it is valid for positive systems.
Our conjecture is that the asymptotic estimate (4.12), which is slightly stronger that (4.3), is valid (perhaps in a modified form) also for the corresponding differential equation (4.1).
The argument is valid.
Any reason is valid.
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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