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WITH unemployment at record lows, Democrats had a hard time making the argument that more government spending on education, health care and transportation would yield a payoff in the form of a more productive work force and a more efficient economy.
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Any mixed strategy yields a payoff that is a weighted average of the payoff to the pure strategies in the mix.
The fact we developed last week was that any mixed strategy yields a payoff that is a weighted average of the pure strategy payoffs, the payoffs to the pure strategies in the mix.
The trips yield a payoff not only in donations — collected at small-crowd, big-dollar events in the sumptuous homes of donors and at small-dollar, big-crowd rallies — but also in local headlines trumpeting Mr. Obama's message of the day.
The question is whether even e-commerce will yield a payoff for media companies.
For entrepreneurs, there's a payoff in such commerce.
Many teams see a payoff in launching satellites more cheaply.
But Mr. Gore could get a payoff in the days ahead.
There is a payoff in beauty, Ashworth added.
There is always a payoff in the end.
The scam yielded a modest payoff: temporary shelter, a little cash, and the satisfaction of having mocked what he saw as the hypocritical world of limousine liberalism.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com