You must present full equations
without unjustified assumptions that any particular variable does not depend on x to get correct equations.
Not exact matches
Without that information, many in the policy community will make the
unjustified assumption that «for - profit» is synonymous with «bad bet» when it comes to graduate school.
Then he concludes
without any real justification that they are exactly zero and this totally
unjustified assumption leads to his conclusions.
Without this arbitrary and
unjustified assumption, you would have to conclude that ice cores seriously under - estimate CO2 concentrations.