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The phrase "a tendency of decline" is not correct in standard English; it should be "a tendency to decline." You can use it when discussing a pattern or inclination towards decreasing or diminishing in a particular context.
Example: "The data shows a tendency to decline in sales over the past year."
Alternatives: "a trend of decline" or "a propensity to decline."
Exact(1)
Following surgery at the beginning of the study a tendency of decline in the cancellous bone mineral density (BMD) was observed in all groups.
Similar(59)
However, none of the three intermediates identified exhibited a tendency of declining with increasing the irradiation time, which may explain the lower activity of this sol gel prepared catalyst.
There was also a tendency of declining satisfaction after 1 year.
Further, there was a tendency of declining mortality over the years.
Tuberculosis decreased at a relatively steady rate when following individual birth cohorts, but with a tendency of slower decline as time passed since infection.
Hence, although not entirely smooth, there is a clear tendency of decline in the magnitude of the day-of-the-week effect over time.
Hence, although not entirely smooth in the EW portfolio, there is a general tendency of decline in the magnitude of the day-of-the-week effect.
Both TRK-100STP groups therefore showed a tendency of inhibiting the decline in CCr as compared with the placebo group (P = 0.0551, P = 0.1800: t-test).
Additionally, to assess whether or not the rate of discovery of a particular type of fauna shows a tendency to decline, thus indicating that we are approaching its full description, we established the number of new species described per year and plotted accumulation curves for fishes, mollusks, and echinoderms.
Hazard ratios for the "improved" disability transition strata showed a tendency to decline across phases of the observation period.
An interesting observation in this group is that the number of cells immunopositive for the viral antigen had a tendency to decline slightly during the course of virus infection.
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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