Sentence examples for generalized conditions from inspiring English sources

We begin with the statement and the proof of generalized conditions for starlikeness.

Moreover, the generalized conditions cover the systems given by [24, 27] for a class of nonlinear delay-free systems.

In the third study, we experimentally manipulated exposure to specific visual features to determine if they induced thinking about the same thought topics under more generalized conditions.

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

To obtain the generalized conditions for n-starlikeness and n-convexity, presented in the following sections, we shall require the following lemma.

The object of the present paper is to derive some generalized conditions for starlikeness and convexity of functions f z) with examples.

Therefore satisfies the generalized condition of Hamel.

Next, we suppose that satisfies the generalized condition of Takahashi.

where In particular, for the case the generalized -condition of Takahashi Hamel is called the generalized condition of Takahashi Hamel.

Another generalized condition is found by Hellerstein et al. in [8].

We have recently introduced a generalized condition for thermal runaway or parametric sensitivity.