People who try to do economics without any kind of mathematical modeling do indeed say things like that — and it's very hard to explain why it's self-contradictory nonsense without a bit of math.
A flow diagram shown in Fig. 1 presents a brief summary of mathematical modeling done for the proposed step-graded interlayer scheme.
Although there was a delay in detecting 4TO7 primary tumors relative to 4T1 or miR-200-expressing 4TO7 tumors, once tumors became palpable, mathematical modeling did not show any significant change in their doubling times (data not shown).
The mathematical model does not prove the link, "but at least it shows a mechanism that makes it seem possible," Dr. Ives said.
However, his mathematical model does not use backordering option.
However, in applications of industrial complexity, this mathematical model does not provide sufficient flexibility as an effective geometric modeling option.
These stages are not always transparent when dealing with a system whose mathematical model does not exist or is difficult to obtain.
Our mathematical model does allow one to evaluate the impact of travel restrictions combined with other types of interventions, such as quarantine, self-isolation, wearing masks, closing schools, etc.
Their mathematical model does not depend upon any specific hereditary disease.
In contrast, the asymptotic solution of the mathematical model does not involve any computational cost (other than the negligible time required to evaluate the derived expressions at a given timepoint).
