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"increase relationship" is a grammatically correct phrase and can be used in written English.
It means to strengthen or improve the bond or connection between two individuals or groups. Example: The team's effort to increase relationship with their clients has resulted in a significant increase in sales.
Exact(3)
It is shown that a linear increase relationship between the maximum vertical impact force and axle load is found for each flat length case.
As a result, the maximum pressure ratio follows a linear increase relationship with the permeability in the log log coordinate system.
Themes suggest that, although partner involvement varies (very little to significant), there exists significant anxiety about hypoglycemia and future complications and sources of conflict that may increase relationship stress.
Similar(57)
The genomic breeding value accuracy increased with increased trait heritability and with increased relationship between training and validation.
The number of nodes is increasing as the network grows, which shows a linear increasing relationship.
These reflect real trends in bio-technological research such as SB, especially the increased relationship between science and industry.
The results show that the fatigue life has a monotonically increasing relationship with the phosphorus doping concentration.
Uber last year reportedly secured a $2 billion credit line with banks, believed at the time to be part of the large transportation startup's increasing relationship with them, ahead of a potential IPO.
"As the market for telehealth grows, this category will have an increased relationship and influence over areas like diagnostic testing, pharmaceuticals, etc," noted Jeff Richards, Managing partner at GGV capital.
At the end of the four weeks, participants in the kind acts group avoided social situations less and also reported increased relationship satisfaction.
Regressing combined annual suicides in AP, GJ, KA, and MH (y) on the national total (x) yields an increasing relationship (y = 0.90x − 7461.3, R 2 = 0.823).
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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