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There exists a mean (mu ) on X which is invariant under partial translations.
(3) There exists a mean (mu ) on X which is invariant under partial translations. .
We suppose that there exists a mean energy barrier,, and further, that this barrier has the same kind of dependence on strain as the energy barriers in Eq. 2. (7).
It is known that if μ is a mean on l ∞, then μ ( f ) ≤ μ ( g ) whenever f, g ∈ l ∞ satisfy f ( k ) ≤ g ( k ) for all k ∈ N. It is also known that the Hahn-Banach theorem ensures that there exists a mean μ on l ∞ such that k f ( k + 1 ) = k f ( k ) (2.5).
Definition 4.1 Let m be a mean such that there exists a mean m 1 and some r ∈ ] 0, 1 [ satisfying m = m 1 π r. Then we say that m is ( m 1, r ) -decomposable. In the case r = 1 / 2, we simply say m is m 1 -decomposable.
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Since the introduction of Terrestrial Laser Scanning (TLS) instruments, there now exists a means of rapidly digitizing intricate structural details of vegetation canopies using Light Detection and Ranging (LiDAR) technology.
Alternatively and more likely there exists a means of activating TorC1 in response to nitrogen availability that does not involve the Gtr-Ego complexes.
The findings of this research reveal that there exist a mean absolute error of 1.21percentt which is negligible compared to the correlation presented by Garcia and Fair with absolute error of 18.22 percent.
Six seconds is too short for a speech or an instructional video but the perfect length, as it turned out, for a vast array of inanity — much of which, like the spinning potato, would never have existed had there not also existed a means for widely sharing it.
Six seconds is too short for a speech or an instructional video but the perfect length, as it turned out, for a vast array of inanity much of which, like the spinning potato, would never have existed had there not also existed a means for widely sharing it.
Both those who support or challenge glycemic control efforts in critical care settings agree that glycemic management could be made significantly safer and more efficient if there existed a means to more frequently and reliably track patients' glucose levels.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com