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"assumed to share" is a grammatically correct and usable phrase in written English.
It means that something is expected to be shared or possessed by something or someone else. It can be used in various contexts, such as describing assumptions, beliefs, or perspectives. For example: - It was assumed that the siblings would share their inheritance equally. - The professor's lecture was based on the assumption that all students had a basic understanding of the topic. - The survey results showed that there was a common assumption shared by most participants. - The two organizations have a shared assumption that collaboration is key to success. - The witness was assumed to share the same view as the defendant, but in reality, they had a different perspective.
Exact(55)
Yaqoob, a former councillor in Birmingham and a part-time psychotherapist, revealed that she was assumed to share Galloway's sentiments.
The audience hearing the parable is assumed to share a communal truth but perhaps to have set it aside or forgotten it.
Russian officials cheerfully hailed the constitutional court's decision as an "opportunity" for more talks.Policymakers in Moscow, however, were careful to maintain contacts with Mr Kostunica, who is assumed to share the broadly Russophile sentiments that usually go along with Serb patriotism.
MUEs and FUEs are assumed to share the same frequency resource (co-channel deployment).
The source nodes and the relay nodes are assumed to share the same transmission channel.
In any given period, they are assumed to share the effect ϑ pt.
Similar(5)
In other words shared sequence cannot be assumed to imply shared mechanism.
Taxa that shared similar phylogenetic and distribution patterns were assumed to have shared a common biogeographic history; i.e., they were part of the same ancestral biota that became divided by geologic or climatic vicariant isolating events.
In order to accomplish the channel estimation, the transmit and receive antenna arrays of the BS are assumed to be shared antennas, i.e., the transmit and receive RF chains share the same antenna [10].
The regard for dignified moderation that money and comfortable living encourage is assumed to be shared by the two candidates.
Note that the distance information is assumed to be shared between BSs during scheduling.
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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