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The phrase "assumed to be the same" is correct and usable in written English.
It can be used when discussing situations where two or more items, values, or conditions are considered equivalent without direct evidence.
Example: "In this experiment, the two variables are assumed to be the same for the sake of simplicity."
Alternatives: "presumed to be identical" or "considered equivalent".
Exact(60)
No longer are all customers assumed to be the same.
Returns were assumed to be the same as those of the overall market.
It is assumed to be the same for all relays.
Functional dependence is assumed to be the same for crack length and each energy contribution.
The coefficient vector is assumed to be the same for all categories of the dependent variable.
To simplify the calculation, all laser wavelengths are assumed to be the same.
The number of antennas at all the nodes are assumed to be the same.
The process noise covariance matrix Q is assumed to be the same as before.
The widths of barriers and wells are assumed to be the same in what follows.
Mantle structure under the oceanic side is assumed to be the same as the continental sides.
Noise power is assumed to be the same at all the nodes.
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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