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where ν represents three-ordered variables ( x, y 1, y 2 ) and λ 1, λ 2 are the eigenvalues of ℳ. Proof Since, by Theorem 1, the presentation P E can be represented by a unique characteristic polynomial as in (8), the function obtained from this polynomial should be the unique generating function.
But most of all the focus is justified by a unique characteristic of whole-genome data: under a model of rearrangements, duplications, and losses, it is possible to compute very precise maximum-likelihood estimates of the true evolutionary distance, as we have a shown in a series of papers [ 12- 15].
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Lemma 2.2 Suppose that (H 1) holds, then for the operator L Z defined by (2.1), has a unique characteristic value λ 1 ( Z ), which is positive, real, simple, and the corresponding eigenfunction φ ( t ) is of one sign, i.e., we have φ ( t ) = λ 1 ( Z ) L Z φ ( t ).
Dr. Bush believed that America, a nation built by pioneers, possesses a unique characteristic that allows us to support a diverse array of scientific activities undertaken with the utmost integrity.
The mode of anchorage facilitated by these implant systems has a unique characteristic owing to their temporary use, which results in a transient, albeit absolute anchorage.
The Mo-blue produced by this isolate exhibited a unique characteristics absorption profile with a maximum peak at 865 nm and a shoulder at 700 nm.
This is achieved by the unique characteristic of the device current which monotonically decreases for applied voltages greater than the valley voltage in our simulation window.
"It turns out that when you browse the web your device can be identified by a unique set of characteristics like its configuration, its fonts you have installed, and the plugins you might have installed on a device.
The ability to be flexible and responsive is supported by a unique blend of characteristics: the mixed economy of funding, the size of the collaboration enabling work to link into a number of organizations, access to a wide range of research expertise, and longevity of the funding (5 years initially).
Health information that is informed by a person's unique characteristics may be effective [ 8].
Whereas this review has attempted to identify a small number of suitable candidates by searching for unique characteristics for a range of different categories, the effort was by no means systematic.
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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