Exact(20)
(Arthur Frommer) At least half of eight currently existing cap-and-trade regimes satisfy the independence property—"whereby the initial allocation of property rights does not affect the environmental or social outcome and the scheme is cost-effective".
where (30) follows from the independence property of the r.v.'s Gf,nand Gs,n.
Based on this domain independence property, a numerical integration based scheme accompanied by a modification of the domain, is proposed.
Riesz bases are exact frames which obey the linear independence property, and their bounds coincide with the frame bounds.
Assumptions (C7) and (C8) allow us to make use of the asymptotic independence property for heterogeneous data.
We also derive a uniqueness theorem which ensures a unique optimal design without assuming the linear independence property over the largest set of supporting points.
Similar(40)
From now on, the conditional independence properties will be applied whenever possible to simplify probabilities expressions.
Some related independence properties for subalgebras in ultraproduct II1 factors are also discussed.
taking into account the conditional independence properties of the involved variables (see [27, 28] for an explanation of how to derive and apply the conditional independence properties given a graphical model).
where we exploited the conditional independence properties defined by Fig. 4 a (respecting the dashed links) and dropped p y 1 N ) in the last line of (31) as it represents a constant factor with respect to a varying state sequence q 1 N.
Using the independence properties of the sources, one can prove that: ζ = ( H 1 − H ) T E S 1 S 1 T ( H 1 − H ) + H 2 T E S 2 S 2 T H 2 = ε H T Σ 1 ε H + H 2 T Σ 2 H 2 = E ( ŝ 1 ) 2 + H T Σ 1 H − H T E ( S 1 ŝ 1 ) − E ( ŝ 1 S 1 T ) H (19). where ε H = H1−H and Σ i = E S 1 S 1 T is an invertible definite positive matrix.
Write better and faster with AI suggestions while staying true to your unique style.
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