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'By contrary' is not a valid phrase in English.
You could instead use 'on the contrary' to mean the opposite of what was previously stated. For example, "John said he wasn't interested in going to the party, but on the contrary, he was really excited about it."
Exact(35)
By contrary suppose that ({mathbb {G}}(A cong C_n), for some (nge 3).
By contrary, this does not mean their survival rates would be lower.
By contrary, a progressive decay of the photocatalytic activity is observed for the other contaminants.
By contrary, when tested in positive potential window (0 0.6 V), the NiCoS NRAs show a maximum specific capacitance of ∼800 F g-1 at 12 mA cm−2.
By contrary to DI-3, DI-11 has a very stable temporal expression pattern.
By contrary, LPO levels were lower in intestinal tissue of healthy horses compared with colic horses.
Similar(25)
Indeed, we see larger possibilities in this method of preceeding by contraries.
D2A4 depends on Causality and No Causation by Contraries, D2A12 depends on No Causation by Contraries, and D2A14C depends on D2A12C.
But there are reasons for thinking that No Causation by Contraries is false.
But, again by No Causation by Contraries, this result is absurd: nothing that is unequal could make something be equal.
So, if Causality is true and the one is, then No Causation by Contraries must be false.
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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