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Economists had constructed models that showed markets were always rational and self-correcting.
In research beginning after World War II, Dr. Prigogine devised mathematical models that showed how chemical reactions could produce complex, changing patterns.
In August, Ms. Palin sued the federal government for listing the polar bear as a threatened species, saying climate models that showed that the bears would be affected by melting Arctic ice are unreliable.
Other models that showed increased interest: the Toyota Camry, to No. 19 from No. 60, and the BMW 3 Series, to No. 18 from No. 50.
Brian Landry, executive chef at Galatoire's Restaurant, said he was closely watching projections based on computer models that showed currents taking the oil slick to Florida and up the Atlantic Coast, sparing the oyster beds.
Brian Ketcham, a retired traffic engineer who created models that showed that the Atlantic Yards arena would worsen the gridlock, worried that a residential permit plan could make traffic worse by taking away spots for people going to the arena and by inspiring local residents to buy cars.
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The council offers its own models that show speeding up lowers the chances of a whale strike.
"We are constantly running computer models that show us, literally on a daily basis, which raw materials are best to use," said William S. Stavropoulos, Dow's chief executive.
Lenovo's support site has online manuals for most ThinkPad models that show the location of the CMOS battery.
There is a lot of rebuilding to be done, at ground zero as well as elsewhere in the city, and we have far superior models that show us not only what to do, but also how to do it.
Anheuser-Busch hired Goldman Sachs before the InBev bid was formally made, along with Citigroup, and both banks have been working overtime to build "fantasy" models that show the company is worth much more than InBev's offer.
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Justyna Jupowicz-Kozak
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