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Our main goal consists in providing a representation of the compensator of H.
From its representation we immediately obtain that the compensator of the default process H is continuous.
In the section "The compensator of the default time", we state and prove Theorem 3.2, which is the main result of the paper.
As a result, from the continuity of the compensator of H it follows that the default time τ is a totally inaccessible (mathbb {F}^{beta } -stopping time.
Below, we briefly recall the approach developed by Meyer (1966) for computing the compensator of a right-continuous potential of class (D).
The processes X and X− are non-negative a.s. and the same is true for ΔX, since the compensator of the jump measure of X is entirely supported on the positive half-space; cf. Duffie et al. (2003, Def. 2.6).
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In particular, the modification enables the output of the compensator to decay more quickly than if it were absent, thereby effecting a swifter recovery of linear behaviour.
The nonlinear model of the shunt compensator of the UPQC is modified to a linear model.
As the result, we implemented the dynamic compensator of the form ϕ ̈ o = ∑ i = 1 N − 1 β i − 1 − f θ N + d 2 Φ N − k p, θ N y N − k d, θ N y ̇ N − k p ϕ o − k d ϕ ̇ o (69).
The In-phase voltage injection method is used for the series compensator of the UPQC.
The four-bar mechanism is adopted as the associated linkage, and various gravity compensators for planar mechanisms are derived from the gravity compensator of the four-bar linkage.
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CEO of Professional Science Editing for Scientists @ prosciediting.com