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Mathematical models show that needle exchange programs prevent H.I.V. infections among drug users, their partners and family members at a cost of approximately $9,400 per avoided H.I.V. infection — compared with the lifetime cost of treating a person living with H.I.V./AIDS, approximately $200,000.
But he says mathematical models show that such ties exist--even if people are not aware of them.
The results of mathematical models show how the countries could take a reasonable strategy to exploit their common resources.
The results of the thermal mathematical models show the temperature behaviour in orbit and the feasibility of the solution.
Indeed mathematical models show that a neutral allele arising by mutation has a very low probability of becoming fixed in a population; the larger the population, the lower the probability of fixation.
These mathematical models show the dependencies of distortion, surface average equivalent residual stress, standard deviation of equivalent residual stress, average surface hardness and standard deviation of surface hardness with respect to the design variables.
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To that end, he developed mathematical models showing how natural forces and chemicals interact in the atmosphere.
Mathematical models showed a good predictivity with biases lower than 20%.
The application of two different mathematical models showed the similar effects for all combination of heavy metals.
Table 4, using the first and second mathematical models, shows a substantial difference in the number of new HIV infections prevented.
Moreover, its mathematical models showed that a theory in which functions can become their own arguments is completely sensible, in addition to being consistent (what was established earlier using proof theoretic methods).
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