Sentence examples for cases of existing from inspiring English sources

Besides, without any regularity assumptions, our method can deal with asymmetric and several other failure cases of existing approaches.

In the symmetric case, many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

Although their notion seems to be attractive, in this paper, we show how this concept can be reduced to the unidimensional notion of coincidence point, and how their main theorems can be seen as particular cases of existing results.

It is noticed in [35] that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

It was observed that in the symmetric case ( ( X, G ) is symmetric), many fixed point theorems on G-metric spaces are particular cases of existing fixed point theorems in metric spaces.

In cases of existing esotropia (ET) this procedure also markedly reduced the angle of deviation.

1, 2 In 2005 in the United States, those 50 and older comprised 15% of all new HIV/AIDS cases, 24% of existing HIV cases, 29% of existing AIDS cases, and 35% of all HIV/AIDS-related deaths.

In the case of existing words, connotations are crucial: a Corvette is a light, speedy attack ship; Tesla was an inventor of genius.

In the case of existing infinite modes, Spinoza's answer is clearly yes.

In the case of existing facial-level annotations, we quantitatively evaluate the method.

The case of existing facilities and the treatment of uncertainties are discussed briefly.