Sentence examples for value valuation from inspiring English sources

This combination of characteristics makes it difficult for investors to establish the fair-market value (valuation) of the company.

As the world is still migrating to digital photography, this is very much a growth business trading at a "value" valuation.

We recall that a field K, equipped with a function (non-Archimedean absolute value, valuation) | · | from K into [0, ∞), is called a non-Archimedean field if the function | · |: K → [0, ∞) satisfies the following conditions: (1) |r| = 0 if and only if r = 0;   (2) |rs| = |r||s|;   (3) the strong triangle inequality, namely, |r + s| ≤ max{|r|, |s|} for all r, s ∈ K.  .

The most familiar real valued valuation is, of course, the ordinary volume V n.

In a highly influential article, Alesker  [2] showed (thereby confirming a conjecture by McMullen) that in fact every continuous translation invariant real valued valuation is a limit of linear combinations of mixed volumes.

Since, clearly, every real valued valuation is the sum of an even and an odd valuation, we immediately obtain the following corollary, known as McMullen's decomposition of the space V al : Corollary 3.1 V al = ⨁ i = 0 n (V al i + ⊕ V al i − ).

The theory of real valued valuations is at the center of convex geometry.

Radial Blaschke-Minkowski homomorphisms are important examples of star body valued valuations.

Schneider obtained first results on convex body valued valuations with Minkowski addition in 1970s.

Schneider [2] obtained first results on convex body valued valuations with Minkowski addition in 1970s.

Their natural duals, Blaschke-Minkowski homomorphisms, are an important notion in the theory of convex body valued valuations (see, e.g., [6 12] and [13 20]).