The phrase "uniform application" means using or applying something consistently or in a standardized way, without any variations or differences. Full definition
We can not insure uniform application of the various considerations listed above from one individual comment to the next. (realclimate.org)
While federal student loans offer a fairly uniform application process and loan terms, private student loan terms can vary widely from one lender to another. (magnifymoney.com)
Professional privilege is something that requires uniform application across regulatory regimes. (administrativelawmatters.com)