The approach proposed here differs from those recently considered in the literature, in that it is based on a decomposition that is exact when considered analytically, so the only degradation in computational performance is due to discretization and roundoff errors.
Hermite's differential equation y ″ - 2 x y ′ + 2 λ y + f ( x ) = 0. is exact when λ = -1 and it has the Hyers-Ulam stability.
It is shown, for example, by direct calculation, that the forward equation of probability balance is exact when combined with a dichotomic Markov process to describe the random physical behaviour of a medium, whereas the backward equation contains errors.
The approximation is exact when there is one single instrument and no covariates.
"Amy is exacting when it comes to truth and authenticity in her work," said Anne Kauffman, who directed the 2011 premiere of Ms. Herzog's thriller "Belleville" at the Yale Repertory Theater in New Haven.
Douglas, who scribbles roofing dimensions on his hand and is exacting when taking measurements, pointed to homes in the distance.
It was 1968, to be exact, when Manitoba Hydro completed the eight-year process of building the dam, which resulted in forcibly relocating the community of Chemawawin, flooding over 1,000 sq.
Benito has been here for ages -- since 1985, to be exact, when it opened under the unassuming name Benito's.
Mr. Davies's interpretation has already been seen in the States — on June 30, to be exact, when it was shown on movie screens as part of the National Theater Live series.
