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"If limit orders that improve the price aren't getting displayed or aren't getting displayed immediately, investors on the other side of the transaction are being denied access to another, better price," said Barbara Roper, director of investor protection for the Consumer Federation of America.
It is said to be uniformly smooth if limit (1.1) is attained uniformly for x, y ∈ U.
We show that if limit orders are required to vary smoothly, then strategic (Nash) equilibria of the double auction mechanism yield competitive (Walras) allocations.
The norm of Banach space X is said to be Fréchet differentiable if for each x ∈ S X), limit (1.1) is attained uniformly for y ∈ S X) and the norm is uniformly Fréchet differentiable if limit (1.1) is attained uniformly for x, y ∈ S X).
Moreover, the following inequalities hold: lim x → + ∞ ( 1 + x ) k d k d x k g ( x ) = 0. (6) If limit lim x → + ∞ g ( x ) = g + exists and p ∗ = ∫ 0 2 π p ( t + θ ) | sin ( t / 2 ) | d t, the following condition of Lazer-Landesman type holds: 4 g + > max θ p ∗ . .
The function g is bounded on the interval [ − 1, + ∞ ) and g ( x ) > 0 for x > 0. Moreover, the following inequalities hold: lim x → + ∞ ( 1 + x ) k d k d x k g ( x ) = 0. If limit lim x → + ∞ g ( x ) = g + exists and p ∗ = ∫ 0 2 π p ( t + θ ) | sin ( t / 2 ) | d t, the following condition of Lazer-Landesman type holds: 4 g + > max θ p ∗.
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He should have said good, if limited.
And that made him a reliable if limited ally.
That requires an unequivocal, if limited, sharing of liabilities.
Parking at the public beach is free, if limited.
In certain important, if limited, ways, the relationship remains "special".
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com