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For convenience, | · | p will also be used to denote the extended valuation on ℂ p. The Bernoulli polynomials, denoted by B n (x), are defined as B n ( x ) = ∑ k = 0 n n k B k x n - k, n ≥ 0, (1.1).
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We extend current valuation considerations of patented technology from a static perspective to include a dynamic view using nanotechnology as an example.
It turns out that if a is an assignment extended to a valuation function va for the Kleene matrix K3, then for every formula A in the language of K3, va(A) = va′(A) if va(A) ∈ {T, F}.
We recall that given a finite-dimensional central division algebra (mathcal D ) over a field (mathcal K ) which is complete with respect to a discrete valuation (v), the valuation (v) uniquely extends to a discrete valuation (tilde{v}) of (mathcal D ) (cf. [27, Chap. 12, §2], [33]).
The concept of virtual valuation is extended to ex ante unidentified traders.
Unlike Reaction and Composition, Valuation was not extended into more delicate choices.
This approach could be extended to a choice-based valuation technique such as TTO, where the upper anchor is not instrument specific but described in more general terms such as 'best imaginable state'.
Each assignment a relative to a valuation system V can be extended to all sentences of L by means of a valuation function va defined in accordance with the following conditions: It is interesting to observe that the elements of V are sometimes referred to as quasi truth values.
Following these elaborations, the decision model of Kamprath and Röglinger (2011) is extended and adapted for the economic valuation of sustainability actions in Sect. 4. Section 5 exemplarily demonstrates the applicability of the approach.
Property values became highly inflated, and banks extended huge loans on the basis of these valuations.
The market can be irrational for longer than you can remain solvent, as the saying goes.A job for the banksEven so, Mr Smithers argues that central banks should use the valuation data to decide whether stockmarkets are over- extended.
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