Furthermore, the corresponding valuation ring (mathcal O _mathcal{D }) has a unique maximal 2-sided ideal (mathfrak P _mathcal{D }) (the valuation ideal), and the quotient (overline{mathcal{D }} = mathcal O _mathcal{D }/mathfrak P _mathcal{D }) is a finite-dimensional division (but not necessarily central) algebra, called the residue algebra, over the residue field (overline{mathcal{K }}).
Let (v in V^k{setminus }S), and let (w = w v)) be the corresponding valuation of (K) (see Lemma 4.5).
Recently, the theory of stochastic interacting particle systems [10 12] has been applied to investigate the statistical behaviors of fluctuations for stock prices, and the corresponding valuation and hedging of contingent claims for these price process models are also studied, see [1, 2, 11, 12].
Each health state will be translated in the corresponding valuation by applying the Spanish general population utility weights, resulting in valuations from 1 (optimal health) through 0 (as bad as death) to negative values (worse than death).
The scatter plot below charts the amount of venture and debt capital raised by companies on a logarithmic scale, and their corresponding valuations at the time of the IPO or acquisition.
The S.E.C. also claims that Mr. Griffiths was asked by the company's chief financial officer for a "list of all of the locomotives, freight cars, trailers and containers owned by F.E.C.R., along with their corresponding valuations, which she had never requested before".
"[I]t was based in large part on these inflated sales figures and corresponding valuations that Geeksphone induced Silent Circle to pay it $30 million," he adds.
Specifically, a firm has the option to design a non-remanufacturable or a remanufacturable product and to specify a corresponding quality, and the design choices affect both the production costs and consumer valuations associated with the product.
Each response has a corresponding emoji.
I decide to keep a corresponding distance.
