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The phrase "a similar relation" is correct and usable in written English.
It can be used when discussing a connection or association that resembles another one in some way.
Example: "In this study, we found a similar relation between the two variables, suggesting that they may influence each other."
Alternatives: "an analogous connection" or "a comparable relationship".
Exact(60)
Hereby, we found a similar relation between the speed of a crowd and the density as related work suggests.
After all, Mrs Dalloway enjoys a similar relation to Ulysses.
Newton was able to show that a similar relation holds between Earth and its Moon.
Based on our results, a similar relation is valid for the other volatile organic compounds studied.
Those old Jensen songs bear a similar relation to their new material as does early Scritti Politti's anarcho squat indie to their later airbrushed falsetto disco.
A similar relation has been shown, reported by Hoffman et al. and by us in a separate paper.
A similar relation of permanence and impermanence -- a museum documenting a past event or even plans for a future event with objects that can be sold -- has become common.
A similar relation exists between CEO leisure consumption and firm market capitalization, which suggests that shareholder wealth is also negatively affected by the time CEOs spent on the fairways and greens.
A similar relation was shown for risk reduction associated triglyceride decrements, whereas the benefit of LDL cholesterol reduction was more pronounced in patients with baseline LDL cholesterol ≥130 mg/dl.
The relation of increasing frequency and decreasing activation in occipitotemporal regions corresponds to a similar relation in the same brain regions found by studies which experimentally manipulated object or face familiarity.
In analogy to an electric circuit in which the current, the electromotive force (voltage), and the resistance are related by Ohm's law (current equals electromotive force divided by resistance), a similar relation has been developed to describe a magnetic circuit.
More suggestions(18)
a similar connection
a similar proportion
a consistent relation
a similar governing
a similar linked
a similar links
a similar relative
a similar view
a similar situation
a similar sentence
a similar list
a similar feel
a similar plan
a similar quality
a similar affection
a similar blueprint
a similar solution
a similar dynamic
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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