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The phrase "relationships expressed by" is correct and usable in written English
You can use it when discussing how relationships are conveyed or represented in a particular context, such as literature, art, or data analysis.
Example: "The study focuses on the relationships expressed by the characters in the novel, highlighting their emotional connections."
Alternatives: "connections conveyed by" or "associations illustrated by"
Exact(3)
Therefore, the newly generated RPCs should maintain the relationships expressed by the forward and reverse coordinate transformation functions.
The true parameters (weights) (v_i ) characterizing the relationships expressed by Eq. (14) are not known, but they can be estimated in the course of modelling and learning the variable of interest.
The strength of the probabilistic relationships expressed by the edges of BNP was measured using Friedman's bootstrap method with 1000 repeats (Friedman et al., 1999).
Similar(57)
Additionally, there is another level of relationship expressed by using a special group of terms called properties.
Fig. 2 A schematic showing the relationship expressed by (3).
The causative relationship expressed by the V-DE construction with the structure in 60 can also be compared with periphrastic causatives expressed with 让 rang 'make' or 使 shi 'cause, make'.
Moreover, a relationship expressed by the root of the ratio between the absolute powers of LF components of HRV and VPAS - the LF alpha index - is known to express spontaneous baroreflex sensitivity [ 22].
The peak Ca2+ vs. voltage relationship expressed by fs-α1S, like that of wt-α1S, was sigmoidal in shape reaching a maximum at large positive potentials (>50 mV), a range in which ICa2+ is progressively small.
Each iteration produces an outcome, which is generated by the quantitative relationships expressed in equations.
The development of the relationship is expressed by delicately calibrated actions rather than psychological rhetoric.
The grinding rate is well correlated with the specific impact energy in all mills; and its relationship is expressed by a linear correlation.
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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