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A Milstein approximation is expected to produce more accurate results compared to the Euler-Maruyama method, since the Milstein method has both a weak and a strong order of convergence Δt, while the Euler method has a weak order of convergence Δt but a strong order of convergence of only (sqrt{Delta t}) [28].
The error of a weak order α method with stepsize τ is approximately C τ α, where C is an unknown constant.
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A weak ordering tendency was observed at low temperatures, which helps to explain the compositional oscillations in the segregation profiles.
An aggregation function, now a social welfare functional, maps each profile in some domain onto a weak ordering of the alternatives.
The taxonomy with four degrees of embodiment for new media follows a "weak ordering" system (Johnson-Glenberg et al., 2014a, 2014b, 2016).
First, the relation of similarity produces a weak ordering of worlds so that any two worlds can be ordered with respect to their closeness to the actual world, with allowance being made for ties in closeness.
Condition SO requires that the result of aggregating individual preferences is always a weak ordering of the alternatives, a binary relation among them that is both transitive and connected.
Arrow incorporated into the notion of a social welfare function the further requirement that $f\langle R_{i}\rangle$ is always a weak ordering of the set $X$ of alternatives.
This relation is also referred to as a weak ordering ("weak" because it does not exclude indifference).
Outsourcing company Capita was also one of the worst performers after its results revealed a weaker order book.
Often a numerical method may have a higher weak order than its strong order.
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CEO of Professional Science Editing for Scientists @ prosciediting.com