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It was with nothing short of mania that I bounded into the No.6 flagship store, located on an alley-like street in Little Italy, and announced that I was ready for my clogs.
While we were still small, he stood on the far edge of a slough in late fall, after a light dusting of snow, and called me across the ice with a frantic wave and cry so that I bounded onto the thin crust, skidding with alarm, and went through.
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Assume that (i) A maps bounded sets into bounded sets and there exists a constant (lambdageq 0) such that (psi(A (M)) leq lambda psi(M)) for every bounded subset M of X, and (ii) B maps bounded sets into relatively weakly compact sets, (B overline{U^{w}})) is bounded, and (lambdacdotsup_{z inoverline{U^{w}}} Vert B z) Vert < 1).
Furthermore, let us suppose that: (i) J is bounded from below and even; (ii) There is a compact set K ∈ R such that γ ( K ) = k and sup x ∈ K J ( x ) < J ( 0 ). .
Using spectral element simulations of stream function waves it is illustrated that (i) the bounded equations capture the physics of the wave motion as well as the standard unbounded equations, and (ii) the bounded equations are computationally more efficient when explicit time-stepping schemes are used.
"This morning I felt so vigorous by comparison that when I went shopping I bounded up the subway stairs two at a time".
Finally, we express the quantity Tr ( Σ x P i ) that bounds the MSE norm of any unbiased estimator x ̂ P i.
First, we show that is bounded, i.e.. Let.
The collection of points that are bounded, i.e., there exists M such that (|Q^{n} z)|leq mathit{M}), for all n, is called a prisoner set, while the collection of points that are in the stable set of infinity is called an escape set.
More importantly, MPR is a quasi-continuous variable that takes on values that are bounded (i.e., have lower and/or upper bounds) and hence traditional methods that use mean changes of the dependent variable with changes in the independent variables may fail to discern differential patterns in non-adherence across racial/ethnic groups.
Step 3: We will show that I is bounded from below and (inf_{E}I<0).
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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