Mathematical proofs of Eq. (8) under certain preconditions can be found in Ref. [14], Theorem 7.2.1, and in Ref. [15], Theorem 6.1.5; however, the proofs are for general distributions and are very abstract.
So the formula is read informally as, under certain preconditions pertaining to the action A at hand, the fluent (predicate) f becomes true of arguments x, if and only if either the condition γf+ x, A) holds or f(x) holds (before the execution of A) and the condition γf− x, A) (that would cause it to become false) does not hold.
In all-optical switching experiments [1] a thin ferrimagnetic film, e.g., GdFeCo, is irradiated by a femtosecond laser pulse which can be linearly or circularly polarized and thereafter a demagnetization with subsequent switching of the magnetization can be observed under certain preconditions.
Hence, podocyte integrity could, under certain preconditions, be altered in the context of a stimulated immune system after vaccination.
The German reimbursement system, which uses diagnosis-related groups (DRG), allows recompensation of palliative care on non-palliative care units under certain preconditions [ 2, 28- 30].
All-or-none interactions are a limiting case of graded interactions, where both processes can only occur under certain preconditions, provided by the other process.
financing program, certain preconditions must be met," said the commissioner's spokesman, Amadeu Altafaj-Tardio.
At the same time, most discussions of mesoregions hold that certain preconditions must be met before they come into existence.
* The thrift institution did not provide the construction loan, saying certain preconditions had not been met by Mr. Kirkpatrick.
Even Federer, who became the instrument of Roddick's torture by beating him in all three finals, is behind Roddick, with certain preconditions.
And while the United States has signaled it might drop certain preconditions for talks, bringing all of Afghanistan's neighbors and other interested parties together has proved difficult.
