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The phrase "changed depending on whether" is correct and usable in written English.
You can use it when you are talking about something that varies depending on a particular condition. For example: "The temperature of the room changed depending on whether the heating was turned on or off."
Exact(8)
Yet she noticed that their behavior changed depending on whether she encountered them on the metro, on a bus or hanging out on a sidewalk.
The aim of this stage is then to produce an image where the contrast of each pixel is changed depending on whether it is part of a noisy, an edge, or a flat region.
The new 'e-Palette' concept car resembles a small shuttle, with a modular interior that can be changed depending on whether it's used for ride-hailing, small cargo transport and on-demand delivery, or any other mobility uses.
Nimoy wanted the ship to be reminiscent of an attacking bird, with movable wings that changed depending on whether the ship was in a cruising or attack posture.
To test whether responses increased as the number of flashes presented increased, and whether this relationship changed depending on whether beeps were presented concurrently, the mean responses were submitted to a repeated measures ANOVA.
The prediction result of 43 proteins changed depending on whether divergence features were added to conventional features.
Similar(52)
(The figure changes depending on whether you freeze funding at 2011 levels or reduce it by 1 percent. Naturally. But you knew that).
The epimerite appears to be a very dynamic structure whose shape dramatically changes depending on whether or not it is embedded into the host epithelium.
And I've found this really useful because I know just how things will look... how the colour of sunlight gleaming off a sword will change, depending on whether it's a warm sky or not".
The covariance could be any number, and that covariance will change depending on whether I measure my fertilizer in tons, or in pounds, or in ounces, or in kilos.
More likely, the company is still working out all sorts of different mapping images, which will change depending on whether the map is being used for shopping, social activity or navigation.
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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