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"holding connection" is correct and usable in written English
You can use it when describing existing links or relationships between people or things. For example, "The two countries have been holding connection for decades."
Exact(1)
This matrix was then raised to a power (beta = 8 in this study) to achieve an adjacency matrix holding connection strengths.
Similar(58)
It had trouble holding connections on Wi-Fi.
It is not a good IM device — the IM app, which T-Mobile uses for most of its smartphones including WinMo devices — doesn't hold connections well and often drops out.
We argue here that because the principles are mid-level, and hold connections both with a number of normative theories and with the multiple prescriptions of codes and guidelines, they therefore garner wide acceptance [ 9].
It does this by holding one connection open.
According to Decety and colleagues the TPJ thereafter depicts a heteromodal association cortex integrating input from lateral and posterior thalamus while in turn holding reciprocal connections to the prefrontal cortex and to the temporal lobes [30].
In the BA model the small number of nodes holding most connections are the most central nodes, thus they contribute majorly to the significance of the pathway.
Two others are held in connection with the bombing, Imam Samudra and his accomplice, Amrozi.
Other high-profile names held in connection with the investigation include comedian Freddie Starr and DJ Dave Lee Travis.
Two people were tonight being held in connection with the incident.
Three teenagers are being held in connection with the shooting of a man in Olivehurst, Calif.
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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