Sentence examples for established for even from inspiring English sources

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The significance of the linear operator Λ can be seen from the following Hard Lefschetz type theorem established for even valuations by Alesker  [3] and for general valuations by Bernig and Bröcker  [9]: Theorem 5.3 If 2 i ≥ n, then Λ 2 i − n : V al i ∞ → V al n − i ∞ is an isomorphism.

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Generalizing Cavalieri's and Torricelli's method of indivisibles in a non-Euclidean sense, a geometric disintegration method is established for deriving even more general star-shaped distributions.

Geometric and stochastic representations are derived for the big class of p-generalized elliptically contoured distributions, and (generalizing Cavalieri's and Torricelli's method of indivisibles in a non-Euclidean sense) a geometric disintegration method is established for deriving even more general star-shaped distributions.

"The sort of deal that was established for Atlantic City is even more unusual, if you will.

In some industries, such as biotech, the path to a leading business role is well established for Ph.D. scientists, even those without M.B.A.s.

We note that the association of symmetries, conservation laws, and integrability for difference equations is as important and conclusive as was established for differential equations even in the non-variational case.

"I think there is a basic constituency that Lucas established for these films, and even though they spend much less on advertising than other big tent-pole pictures, they nonetheless have this constituency that they can glom onto and ride," said Peter Bart, editor of Variety.

Analogous relative-age sequences can be established for alluvial fans and even for hillslope colluvium.

In recent paper [13], the stability of the same system is even established for.

By mid-century, valves had been established for horns and trumpets, but, even through the early works of the 20th-century German composer Richard Strauss, these were considered largely as a means for instant transposition of the instrument.

Though Campbell's group was in the minority, it refused to agree to the rules established for the new Football Association FAA) even though many elements of rugby rules were included in early compromises.

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