Over the last four decades, many colleges and universities, particularly public ones, have sought to diversify their campuses simply by admitting substantial concentrations of black, Hispanic and Asian-American students, often by awarding them racial bonus points in admissions calculations.
The National Center for Fair and Open Testing lists about 800 colleges and universities that admit a substantial number of undergraduates without requiring them to submit SAT or ACT scores.
Simon Stevens, NHS England's chief executive, last month admitted that "substantial changes" to 111 were needed.
Even the most conservative pre-Games estimates admitted a substantial group of athletes were taking performance-enhancing drugs.
Taylor, Traylor and Bullock (whose time at U.M. did not overlap with Webber's) admitted receiving substantial gifts and loans from Martin.
The council apologised for what it admitted were "substantial failings".
January's fall in mortgage lending, which the CML admitted was "substantial", takes lending back to its difficult position seen in the first few months of 2009, in the immediate aftermath of the international banking crisis.
One also has to admit that the substantial number of free seats in prime locations offered by producers to Tony nominators and voters during the spring season enables many stalwart theater professionals to attend shows they otherwise could not afford.
This was the case before Obamacare most Americans, even if they don't want to admit it, receive a substantial health-care-related tax subsidy each year.
Likewise no one cares to admit that there is substantial justification for skepticism of a monthly unemployment rate that does not account for record low labor participation.
But, so far, only one person has publicly admitted giving a substantial sum.
