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Such results can be extended to continuous time by means of standard sample-and-hold techniques.
(3) For some n ( 1 − α ) / 2 ≤ β < n / 2, both T and its conjugate operator T ∗ can be extended to continuous operators from L q to L 2, where 1 / q = 1 / 2 + β / n. .
For some n ( 1 − α ) / 2 ≤ β < n / 2, both T and its conjugate operator T ∗ can be extended to continuous operators from L q to L 2, where 1 / q = 1 / 2 + β / n.
Although our previous discussions focus on variance explained of binary outcomes, the method can easily be extended to continuous traits.
Although here we focused on measuring similarity of qualitative relationships, the same idea could be extended to continuous (or ordinal) measures of relationship, or relationships where each L ij is a vector.
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This model has recently been extended to continuous-fitness landscapes (Wylie and Shakhnovich 2011).
This behavior shows that the two-variable function xy, though continuous on the set {(x,y): x > 0}, cannot be extended to a continuous function on any set containing (0,0), no matter how 00 is defined.
Finally, let us show that can be extended to a continuous function on the torus.
Moreover, can be extended to a continuous -periodic function in both arguments, that is,,.
As for our method of study, it can be extended to strongly continuous semigroups if we require that the Banach space X is reflexive.
In accordance with terms of FCC [1], UWB is not defined just to pulse transmission [2, 3], but can be extended to a continuous transmission technology, as long as absolute signal bandwidth is greater than 500 MHz.
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