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Discover LudwigThe phrase "an optimal relation between" is correct and usable in written English.
It can be used when discussing the best or most effective connection or interaction between two or more entities, concepts, or variables.
Example: "The study aims to establish an optimal relation between diet and exercise for improved health outcomes."
Alternatives: "an ideal connection between" or "a favorable relationship between".
Exact(2)
The original inequalities provide an optimal relation between the volume of a convex body and the volume of several symmetrizations of the body, such as, its difference body.
In other words, efficiency reflects an optimal relation between resource use and effectiveness (not just reduced costs).
Similar(58)
Effective coupling of heart to artery may be defined as the optimal transfer of blood from heart to periphery without excessive changes in blood pressure, and it has been reported that an Ea/Ees coupling ratio of 0.6 to 1.2 represents a near optimal relation between work and efficiency [ 44].
Cost and quality are inextricably linked, and can be defined in an optimal relation.
In vitro assays for invasion showed that not the absolute amount of a single component, but rather the optimal relation between uPA, uPAR and PAI-1 is important for the ability of tumour cells to invade ECM matrixes (for a review see Andreasen et al, 1997).
For in vivo fluorescence imaging, 108 nmol/kg QE or 54 nmol/kg bivQ probe was injected intravenously (i.v ., according to the results of a dose determination experiment, which was set up to identify the optimal relation between sensitivity and contrast (Additional file 1).
The optimal relation between the coefficient of performance and the rate of energy pumping is derived.
The optimal relation between the power output and the efficiency of the cycle is derived.
The optimal configuration and the fundamental optimal relation between power output and efficiency of the cycle are derived.
The optimal configuration and the fundamental optimal relation between power and efficiency of the cycle are derived.
The expression for optimal relation between the coefficient of performance and the rate of energy pumping is derived.
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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