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The phrase "are bound by continuity" is correct and usable in written English.
It can be used in contexts discussing principles, rules, or conditions that must be adhered to without interruption or change.
Example: "In this mathematical model, the variables are bound by continuity, ensuring a smooth transition between states."
Alternatives: "are constrained by continuity" or "are governed by continuity."
Exact(1)
They are bound by continuity and fealty across administrations and generations.
Similar(59)
And we are bound by them.
"Because we are bound by duty.
We are bound by the evidence".
Private sales are bound by confidentiality agreements.
They are bound by certain treaties.
"We are bound by blood".
We are bound by laws.
They, too, are bound by certain realities.
But now they are bound by it".
The dreams are bound by you.
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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