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Similar results have being observed with respect to the other component of stretch rate, namely the unsteady motion of a curved flame when the stretch rates are periodic about zero.
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Let X be an ordered Banach space whose positive cone K is regular, (A : D(A)subset X rightarrow X) be a closed linear operator and −A generate a positive (C_{0} -semigroup (T(t)) ((tgeq0} -semigroupn C(JT tes X, X) ) and f is ω-periodic aboutgeq0(in{k}in C(X, X)), (k=1,2,ldots,p).
Let (A : D(A)subset X rightarrow X) be a closed linear operator and −A generate a compact and positive (C_{0} -semigroup (T(t)) ((tgeq0} -semigroupn C(JT tes X, X) ) is ω-periodic aboutgeq0(in{k}in C(X, X)), (k=1,2, ldots,p).
where f, h are continuous function and T-periodic about t, h ( t, x ) ≤ 0, g : [ 0, T ] × ( 0, ∞ ) → R is an L 2 -Carathéodory function, i.e., it is measurable in the first variable and continuous in the second variable, and for every 0 < r < s there exists h r, s ∈ L 2 [ 0, ω ] such that | f ( t, x ( t ) ) | ≤ h r, s for all x ∈ [ r, s ] and a.e.
(1.1) in an ordered Banach space X, where (A D(A)subset Xrightarrow X) is a closed linear operator and −A generates a positive (C_{0} -semigroup (T(t)) ((tgeq0} -semigroup[0,+infT ttgeq0 Xrinhtarrow X) is a continuous function and f is ω-periodic about t. (J=[0,+infty timess a constant; (0< t_{1}< t_{2}
Let X be an ordered and weakly sequentially complete Banach space, whose positive cone K is normal, (A : D(A)subset X rightarrow X) be a closed linear operator and −A generate a positive (C_{0} -semigroup (T(t)) ((tgeq0} -semigroupn C(JT tes X, X) ) and f is ω-periodic aboutgeq0(in{k}in C(X, X)), (k=1,2, ldots,p).
is defined to be second-order cyclostationary (in the wide sense) if is the periodic function about with period and can be represented as a Fourier series: (2).
Since is a periodic function about, also has a period of.
A pillar has a width of 1.81 μm and a hole has a width of 2.28 μm in a similar periodic length of about 4 μm at a fixed depth of 2 μm.
In 1984, he mentioned to the New York Times a planned play about presidential bodyguards; there have been periodic hints about a drama involving the 19th-century critic and writer William Hazlitt.
Is there anything that Trump has said that he's concerned about—his views on immigration or his periodic threats about cancelling free trade?
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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