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The part of a sentence "without dependence on" is correct and usable in written English.
You can use it when you want to express independence or freedom from something else. For example: "We strive to make decisions without dependence on outside influences."
Exact(45)
The Passing-Bablok procedure is a linear regression method developed for method comparison evaluations without dependence on the assignment of either one of the two compared methods as the reference.
That route would finally enable Afghanistan to connect to the sea without dependence on Pakistan, Iran, or Russia.
Recombineering technology permits flexible engineering of large DNA in Escherichia coli without dependence on suitably placed restriction sites.
It declared a world economic system as a combination of national systems, so that Socialism could be built in any single country without dependence on other revolutions.
Machine-to-machine (M2M) communications is a new and rapidly developing technology for large-scale networking of devices without dependence on human interaction.
By legislating inclusionary housing, Greenburgh is encouraging private building without dependence on government subsidies, which are highly competitive, difficult to apply for and thus beyond the expertise of all but a few developers who specialize in affordable housing.
Similar(15)
Data MCAR are without a structure, as they are missing without any dependence on other variables.
"The question came to the mind of Bertrand whether we could not fly around the world without this dependence on fuel," Mr. Borschberg said.
Using polymers that respond to stimuli such as temperature and pH, enzyme activity and stability can be predictably modified without a dependence on molecular biology.
Schneider was assistant arranger for the ethereal jazz-composing genius Gil Evans, and she continues to reflect his influence in the glowing subtleties of her tonal palette, the way her pieces frequently develop without explicit dependence on rammed-home repetitions.
Without the dependence on eigenvalues as in the classical bifurcation criterion, this criterion is composed of a series of algebraic conditions under which period-doubling bifurcation occurs.
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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