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This is demonstrated mathematically.
In the former he demonstrated mathematically the stability of the solar system in service to the universal Newtonian law of gravity.
Samuelson helped move the field away from the instinctive and toward a more rigorous standard, based on theories that could be demonstrated mathematically.
In the journal, Derek Gatherer of Glasgow University's Institute of Virology has demonstrated mathematically what Terry Wogan has known for years: there are "patterns of collusive voting alliances" in Europe's campest competition.
It can be demonstrated mathematically that sexual reproduction virtually guarantees that each individual will have a unique genotype (except for those individuals, such as identical twins, who are derived from the same fertilized egg).
Hamilton demonstrated mathematically that it was possible for altruism to evolve as a trait as long as the benefits of altruistic acts fell on individuals that were genetically related to the donor.
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Principia Mathematica is a herculean attempt to demonstrate mathematically what The Principles of Mathematics had argued for philosophically, namely that mathematics is a branch of logic.
It demonstrates mathematically that organisations would become more efficient by promoting people at random.
Three Italian researchers were awarded the 2010 Ig Nobel prize in management for demonstrating mathematically that organisations would become more efficient if they promoted people at random.
Show them last year's management Ig Nobel, awarded to Alessandro Pluchino at the University of Catania for demonstrating mathematically that companies work more efficiently if staff are promoted at random.
Last month, three Italian researchers were awarded an Ig Nobel prize for demonstrating mathematically that organisations would become more efficient if they promoted people at random.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com