Sentence examples for examples of valuations from inspiring English sources

The usual absolute values of ℝ and ℂ are examples of valuations.

The usual absolute values of R and C are examples of valuations.

A valuation is a function | ⋅ | from a field K into [ 0, ∞ ) such that 0 is the unique element having the 0 valuation, | r s | = | r | | s | and the triangle inequality is replaced by | r + s | ≤ max { | r |, | s | }. The field K is called a valued field if K carries a valuation. The usual absolute values of R and C are the examples of valuations.

A valuation is a function | · | from a field K into [0, ∞) such that, for all r, s ∈ K, the following conditions hold: (a) |r| = 0 if and only if r = 0;   (b) |rs| = |r||s|;   (c) |r + s| ≤ |r| + |s|.  . |r| = 0 if and only if r = 0; |rs| = |r||s|; |r + s| ≤ |r| + |s|. A field K is called a valued field if K carries a valuation. The usual absolute values of ℝ and ℂ are examples of valuations.

Furthermore, the authors gave two interesting examples of the valuation problems of average options for interest rates.

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

"For example, the valuations of other emerging markets such as the Mexican stock exchange are accepted while those of the Tadawul are not".

Recent examples of proprietary IP driving up valuation are Nest (market expansion), Oculus Rift (new market creation) and Elastic Search (market enabling and open source). .

Planners and decision makers seek spatial valuation data, comprehensive examples of which are few or hindered by sectoral research traditions.

"This is a classic example of a crazy valuation being justified by long-term strategic value," commented Richard Windsor, an ex-Nomura analyst who now runs the RadioFreeMobile consultancy.

Example 1 As a stylized example of a global valuation problem, let us consider a contract, which lasts for two months (for concreteness, assume that it is a simple combination of the put and the call on the stock S1 with maturities equal to one month and two months, respectively).