Sentence examples for conditions for function from inspiring English sources

Therefore, these cases provide just the following two conditions for function ( {text{TC}}(T,B). ) 1. Function ( {text{TC}}(T,B) ) has just a local minimum point that will be considered as an optimal point which is obtained from solving Eq. (37).

Each of Bartlett's six conditions for functioning democracy – active citizens, shared culture, free elections, stakeholder equality, competitive and civic freedom, and trust in authority – he argues, are either already subsumed in bots and distraction or are about to be worn away by a combination of self-driving cars and programmatic advertising.

We start with necessary conditions for functions on the unit circle.

Now, we present some sufficient conditions for functions belonging to the classes MS p and MC p.

Some sufficient conditions for functions to be in several subclasses of strongly starlike functions can also be found in the recent papers [6] and [7 11].

The object of the present paper is to consider some generalized conditions for functions f z) to be in the classes S * or K.

Second, we obtain sufficient conditions for a function to be a Lyapunov function.

We give necessary and sufficient conditions for a function / to be the Perron function of the considered systems.

A third of UN members do recognise Kosovo, but the UN itself does not.Living in limboIn reality, UN membership is neither a necessary nor a sufficient condition for functioning statehood.

We begin with a sufficient condition for functions in the class HST ( ϕ, χ, k, α ).

Similarly, free competition is a basic condition for functioning markets - yet without external constraint, legal or moral, capitalism tends toward monopolies and cartels (as we have seen in banking).