Sentence examples for be a standard function from inspiring English sources

This can be a standard function from a library (e.g. a scaled sum function) or an own-defined function.

A function u(p) is said to be a standard function if it satisfies the following three properties [37]: 1. Positivity: u(p)>0.

Not a bad idea, though I remember when this was a standard function of the best journalism.

If the best response function of SUs is a standard function, then NE in this game will be unique.

Definition 3 (Convex game): If the best response function of SUk is a standard function, then NE in this game will be unique.

Next we show that the convergence of the proposed scheme by proving that the price update function in (32) is a standard function [23] defined as follows.

It can be seen that the potential has the form of the bore (according to the terminology of [12]), which is a standard function of the nonlinear wave theory.

To show that the best response function of SU k is a standard function, we prove the above three properties as follows: 1. Positivity: Since each SU can obtain a certain utility through power allocation and satisfies u(p k )>0.   2.

Theorem 4 The RP game G RP converges to its Nash equilibrium point starting from any initial feasible solution, (i.e., ( left({r}_i^{(0)},{mathrm{c}}_i^{(0)}right) )); ( {r}_i^{Min}le {r}_ile {r}_i^{Max} ) and ( {c}_i^{Min}le {c}_i^{(0)}le {c}_i^{Max} ), provided that user's best response strategy is a standard function.

Standard interference functions: A function Y : R + K ↦ R + + is said to be a standard interference function if the following axioms are fulfilled: Y 1 positivity Y ( p ) > 0, for all p ∈ R + K, Y 2 scalability Y ( α p ) < αY ( p ), for all α > 1, Y 3 monotonicity Y ( p ) ≥ Y ( p ̂ ) if p ≥ p ̂.

to be a standard interference function in [9].