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Thus the assumption imposed on (B_{i}) in Theorem 10 is valid.
The basis is a homogenization/averaging scheme using a micro-randomness assumption imposed on a directional higher gradient interaction term.
Their analysis dispensed with the 'strategic indifference' assumption imposed by Henry ([1979]) and Schoumaker ([1979]), i.e., the players choose truth-telling if the resulting outcome would be indifferent.
This suggests that the Gaussian assumption imposed by PLDA becomes less stringent and easier to fulfill in the higher dimensional i-supervector space.
For simplicity and tractable analysis, single scattering models for NLOS communication links were developed [1, 18], with a corresponding single scattering assumption imposed; that is, each photon undergoes only a single interaction with the atmosphere before it reaches the detector.
In 2007, Wang [10] introduced an explicit hybrid iteration method for nonexpansive mappings in Hilbert space; and then Osilike et al. [11] extended Wang's results to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.
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This assumption imposes less stringent restrictions on the bandwidth required to obtain channel state information via training.
Since this assumption imposes neither zero cross-price elasticity nor unit income elasticity for all goods, it offers a flexibility of substitution in response to relative price changes.
This assumption imposes a major limitation on the use of ocean heat uptake efficiency; however, it should be noted that this limitation does not affect the two-layer ocean model introduced earlier.
As with the local average and local aggregate model, this identification assumption imposes that there are pairs of individuals who influence the other (or each other) indirectly only, which might be very strong in some contexts.
Second, the PH assumption imposes that in the Cox's PH model the relative risk associated with each prognostic factor remains constant during the entire follow-up period.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com