Sentence examples for notions fall from inspiring English sources

In fact most of the generalized commutativity notions fall in the subclass of weak compatibility in the setting of a unique common fixed point (or unique point of coincidence).

In view of the results of Dorić et al. [92] (see also Alghamdi et al. [94], Kadelburg et al. [96], Pant and Bisht [40] and Bisht and Rakocević [95]) most of the generalized commutativity notions fall in the subclass of weak compatibility in the setting of a unique common fixed point (or unique point of coincidence).

Hearts and minds are changed when dialogue happens and preconceived notions fall away.

Reform notions fall short because of an inability to acknowledge that our market-driven economic system generates the inequality that is crippling our children and dampening our schools.

Before those famous schoolroom lines, Pope made another observation, which was that even as you recognize that the world is a mixed-up place, you still can't fool yourself about the difference between the acceptable and the unacceptable: "Fools! who from hence into the notion fall / That vice or virtue there is none at all," he wrote.

But perhaps such a notion falls right back into the mythologizing trap.

"That notion fell by the wayside, but inspired my idea," Arthur says.

The notion fell victim to political bickering, but none of that mattered in the end, as the orchestra raised some $250,000 for the trip.

The initial idea was to release Rose Ave online with no fanfare and with no names attached, but this notion fell foul of label politics.

But Mr. Bush's "few quick" notion fell out of favor after the Korean War, and the military's process of acquiring new technologies became highly bureaucratic, politicized and out of touch with the civilian technology scene.

But that notion fell apart as Ford's sales and profits dissolved.