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The sum of the first n⩾1 eigenvalues of the Laplacian is shown to be maximal among triangles for the equilateral triangle, maximal among parallelograms for the square, and maximal among ellipses for the disk, provided the ratio (area 3/(moment of inertia) for the domain is fixed.
(2) m is a MAD subalgebra if and only if the dimension of h 0,..., 0 is maximal among the Cartan subalgebras of g normalised by σ.
m is a MAD subalgebra if and only if the dimension of h 0,..., 0 is maximal among the Cartan subalgebras of g normalised by σ.
The monotone operator B is said to be maximal monotone if (G(B)) is maximal among all monotone subsets of (Xtimes X^) in the sense of inclusion.
Associated with any operator systemXis a universalC*-algebraC*u(X) which containsXas a generating subsystem and is maximal among suchC*-algebras in the sense that any other suchC*-algebra is canonically a *-homomorphic image ofC*u(X).
The TSE-U3 promoter activity was the maximal among the three promoter constructs in unmethylated state, but dropped dramatically when methylated.
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The preferred labelings are those complete labelings where L in is ⊆-maximal among all complete labelings.
Excluding T. tengcongensis, which has unusually high diversity among 23S rRNA genes, the maximal diversity among paralogous 23S rRNA genes is 1.96%, higher than the maximal variation of 1.26% among 16S rRNA genes [27].
Then, A = ⋃ n = 1 ∞ ∧ B n -. is a random attractor for G. Therefore, the attractor is unique, it is a minimal set among closed attracting sets, and it is a maximal set among compact, measurable, semiinvariant sets.
However, few studies have evaluated cardiorespiratory and cardiac responses to maximal exertion among obese premenopausal females.
Let v be a maximal element among all infinite emitters of (E^0{setminus } H).
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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