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Exact(6)
The latter operator is denoted by (Psi_{p}(x^{ast},h)).
By Theorem 2.3, the latter operator DN−1∗has a left parametrix modulo compact operators.
however, the range of the latter operator is not equal Δ┴ whenever X ≠ {0}.
Moreover, we show that the latter operator representations induce the formal representations by a certain Taylor expansion.
This is important since the latter operator is easier to handle because it acts on a Hilbert space.
To distinguish the two different operators that those conditions define, the former operator is called the Chellas stit, written cstit, while the latter operator is called the deliberative stit, written dstit.
Similar(54)
The latter operators are called exponentially dichotomous and the study of their properties forms an essential part of the paper.
In the latter, however, operators give up their independent control, by sharing the aforementioned entities in conjunction with the pooling of radio resources.
Moreover, it allows us to refine the former and to extend the latter to operators of infinite rank and other norms (including the Schatten norms on the space of matrices).
The reason is that the latter two operators are sensitive to structure on the domains of worlds and times the "accessibility relation" in the former case, the relation of temporal ordering in the latter and this structure is not preserved by all permutations of these domains.[15] (See the entries on modal logic and temporal logic).
As part of the agreement, a new limited company, Oslo Vognselskap, wholly owned by Kollektivtransportproduksjon, would take ownership of all metro trains and trams used by the operating companies Oslo T-banedrift and Oslo Sporvognsdrift, the latter being the operator of the tramway.
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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