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Similar rules are commonly applied when a principal patent generates other, "dependent" patents; the main patentee may be compelled to grant licenses to those who hold dependent patents.
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The first class holds independent of the angle, e.g., (a); the second class holds dependent on the angle, e.g., (b - e); the third class fails no matter what value of the angle is chosen, e.g., (f).
Remark 2.1 Marcinkiewicz-Zygmund and Rosenthal type inequalities hold for dependent random variables as well as independent random variables.
any land held by dependent Indian communities within the borders of the United States whether within the original or subsequently acquired territory thereof, and whether within or without the limits of a State.
however, for observational data, the extent to which strong ignorability holds is dependent on Z.
where and hold the data-dependent and pilot-dependent components in, respectively.
where the matrix, the column -vectors and hold the data-dependent and pilot-dependent components in, respectively, and is the resulting noise vector.
This suggests that the conjugacy of the piezoelectric coefficients may hold during path dependent polarization switching.
There may also be a homicide suicide perpetrator who holds a dependent-protective attachment to the spouse and feels a strong need to control their fate (Malphurs et al 2001).
It is also shown that the local Clausius Duhem inequality does not hold for gradient-dependent material and, therefore, a non-local form should be adopted.
The fracture pattern too has important bearings on stability; stresses at the bone-pin interface and ultimately the ability of the fixator to maintain its hold are dependent on the amount of contact and shape of the fracture line [5, 6, 7].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com