Sentence examples for function valuation from inspiring English sources
Let K denote a field and function (valuation absolute) | ⋅ | from K into [ 0, ∞ ).
A field equipped with a function (valuation) from into is called a non-Archimedean field if the function satisfies the following conditions: (1) if and only if ; (2) ; (3) for all.
Definition 1.1 By a non-Archimedean field, we mean a field K equipped with a function (valuation) | ⋅ | : K → [ 0, ∞ ) such that for all r, s ∈ K, the following conditions hold: (1) | r | = 0 if and only if r = 0 ; (2) | r s | = | r | | s | ; (3) | r + s | ≤ max { | r |, | s | }. .
Definition 1.1 By a non-Archimedean field we mean a field equipped with a function (valuation) | ⋅ | : K → [ 0, ∞ ) such that, for all r, s ∈ K, the following conditions hold: (a) | r | = 0 if and only if r = 0 ; (b) | r s | = | r | | s | ; (c) | r + s | ≤ max { | r |, | s | }.
By a non-Archimedean field we mean a field K equipped with a function (valuation) | · | from K into [0, ∞] such that |r| = 0 if and only if r = 0, |rs| = |r| |s|, and |r + s| ≤ max{|r|, |s|} for all r, s ∈ K. Clearly |1| = | -1| = 1 and |n| ≤ 1 for all n ∈ ℕ.
For the known ( {P}_{t_0} ) and for each of the simulated ( {P}_{t_n}left omega right) ), 0 ≤ n ≤ T/∆t, ω ∈ P, evaluate an objective such as Eq.(4) to obtain ( {pi}_{t_n} ) or the cost function valuation algorithm to obtain ( {pi}_{t_n}left {P}_{g,{t}_n},{P}_{o,{t}_n}right) ). 3.
"It's all going to be a function of valuation and a valuation we are happy with," he said.
Utility functions for valuation of landscape function are also defined.
And when compromises have to be made, the demands of the financial reporting function (inventory valuation) invariably triumph.
Groundwater discharge and surface water generation can be considered as identical functions for valuation purposes.
The uncertainty analysis, which was done in CAFE program, contained also input variables from the life-table model (e.g. concentration-response functions, monetary valuation) [ 15].
