If one of the \ \phi_i\) contains an existential quantifier in a positive position (or a universal quantifier in a negative position) it can be thought of as invoking a systematic search through the domain \ \bD\) for a verifying witness.
But if \ \phi_i\) should contain a universal quantifier in a positive position or an existential quantifier in a negative position, something must be verified for every member of the domain and unless the domain is finite, this is not a human task.
"What the Emotion component tells us is that the debate began with Hillary in a negative position.
Looking at the latest published approval ratings, Ed Miliband has improved from his poor position in January and is performing slightly ahead of David Cameron, who is now in an entrenched negative position.
When there are negative demand shocks, prices fall (since housing supply rarely shrinks downward), and some subset of homeowners will find themselves in a negative equity position.
"Although Toshiba is still assessing the exact amount of the impairment loss, its financial metrics will likely deteriorate further, potentially resulting in a negative equity position," said Masako Kuwahara, Moody's lead analyst for Toshiba.
"For those who bought and still hold homes in 2005, '06 and '07, they may still be in a negative equity position, depending on the terms of their mortgage," Mr. Blitz wrote.
The forecast, which Continental said was based on the business plan that United submitted to the Air Transportation Stabilization Board, contended that even if United received approval for the loan guarantees, it would run out of cash by the first quarter of 2004 and remain in a negative cash position through the end of 2004.
The so-called "anatomic reduction" shown in intraoperative fluoroscopy may actually contain three sub-conditions: some are in exact anatomic cortex-to-cortex position, others in slight positive position, and still others in slight negative position.
It is showed that if disadvantaged participants bid with the price game mechanism, they may gain more surpluses even in the negative position.
