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The phrase "dependence on the network" is correct and usable in written English.
You can use it when discussing reliance on a network, such as in technology, communication, or social contexts.
Example: "The company's dependence on the network has increased significantly with the rise of remote work."
Alternatives: "reliance on the network" or "need for the network."
Exact(11)
In vitro release of RIV showed dependence on the network structure of hydrogels and the pH values (2.2 9.0).
Much of the previous works [2 5] in fault analysis in power systems possess the inherent disadvantage of the strong dependence on the network configuration.
The total loading and release showed dependence on the network structure of hydrogels and was in the range of 65 94% and 88 98%, respectively.
This article found that there was a structural cause for the establishment of a new business ethics; further, the suppliers' dependence on the network of relationships was the consequence of the institutional environment of the market.
Under this model, regulation is designed to enable entrants to make progressively greater investments in their own networks, whilst decreasing their dependence on the network of the incumbent fixed operator.
Loading and in vitro release of quercetin as a model drug was investigated at pH 7. The total release showed dependence on the network structure of microgels and was in the range of 40 80% after 7 h.
Similar(49)
The structures of our conditions provide insight on the dependence of the network performance on the arrival rate vector, and the topological properties of the tree network.
Precisely, these complex feedback mechanisms further imply a complicated dependence of the network behavior (and architecture) on its mechanical history.
Most of us, he says, are inching there by cutting our dependence on the networks, lessening our use of water and electricity.
Here, we report that the nuclear delivery of an exogenous cargo that enters the cell by protein transduction can be enhanced by attachment to a dynein-association sequence, with dependence on the MT network.
Whether or not we explicitly recognize it, human beings exist as a community, and what makes human life possible is our mutual dependence on the vast network of social and economic relations which engulf us all, even though this is rarely acknowledged in our day-to-day life.
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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