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By using (3.14), we obtain from this the inequality.
To obtain from this a one-parameter comprehensive family of copulas, let (U, V) ~ c u, v) be the unique circular symmetric random vector on B2.
Since T is an arbitrary positive number, we obtain from this (X( t) equivtilde{X}( t)), for all (0le t le T).
The last equality is equivalent to the equality C ⋅ [ 1 − μ β − α ∑ k = 1 ∞ a k ( x ) ] = 0. We obtain from this the result that either C = 0 or ∑ k = 1 ∞ a k ( x ) = μ α − β.
We will first consider to a constant coefficient operator, for which we will obtain a representation formula, then we will show how to obtain from this the claimed result.
If now condition (19) is realized, then μ β − α ∑ k = 1 ∞ | a k ( x 0 ) | ≤ 1, and we obtain from this the contradiction M < M. Hence, if condition (19) holds, it is necessary that v ( x ) = C ≡ const.
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Substantial economic advantages are obtained from this type of computer control in the process industries.
He received the Nobel Prize for his interpretation of the data he obtained from this device.
Chevron hopes to use the knowledge it has obtained from this vast open-air, and underground, laboratory and apply it to similar heavy oil fields around the world.
Several insights were obtained from this diagram.
SvO2 was also obtained from this catheter.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com