The phrase "a general valuation" is correct and usable in written English.
It can be used when referring to an overall assessment or estimation of value, often in contexts like finance, real estate, or appraisals.
Example: "The company conducted a general valuation of its assets to determine their worth before the merger."
Alternatives: "an overall assessment" or "a broad evaluation."
Several general valuation metrics were developed for three broad categories: site use by groups of organisms, site rarity, and use value added from spatial context.
However, the starting point for a systematic investigation of general valuations was Hadwiger's [26] fundamental characterization of the linear combinations of intrinsic volumes as the continuous valuations that are rigid motion invariant (see [1,2,6,38] for recent important variants).
It is straightforward to show that there cannot be a truthful and revenue-maximizing deterministic auction mechanism with value bidders and general valuations.
In general, valuations are not superrich, but there is uncertainty about the Christmas season.
Finally, even with the rise we have seen in stock prices, in general valuations in the Mexican stock market are quite modest.
iBEA and CreditDebit auctions do not even require the buyer submodularity and achieve the same properties for general valuations.
We show that the approximation ratio that can be achieved with a deterministic and truthful approximation mechanism with n bidders cannot be higher than 1/n for general valuations.
The VCG-like auction realizes incentive compatibility, allocative efficiency, individual rationality, and budget balance for general valuations; while the PDV-like auction need presume the condition of seller-submodularity, which implies that the effect of each 3PL is decreasing when coalition increases.
Recently, refining the techniques from the seminal work of Lutwak [43], this conjecture was confirmed in the case i = j + 1, first for even valuations in [59] and subsequently for general valuations in [4].
The significance of the linear operator Λ can be seen from the following Hard Lefschetz type theorem established for even valuations by Alesker [3] and for general valuations by Bernig and Bröcker [9]: Theorem 5.3 If 2 i ≥ n, then Λ 2 i − n : V al i ∞ → V al n − i ∞ is an isomorphism.
