Sentence examples for have extended improved from inspiring English sources

Since then, many authors have extended, improved and generalized Banach's theorem in several ways [1 11].

Since Banach's fixed point theorem, many authors have extended, improved and generalized this theorem in several ways.

Since Banach's fixed point theorem, many authors have extended, improved and generalized this theorem in several ways and, further, some applications of Banach's fixed point theorem can be found in [1 6] and many others.

We have extended and improved the technique of persistent scatterers to be of use in natural terrains, so that interferograms may be produced in areas previously resistant to InSAR.

The results have extended and improved the related reports in the literature.

Decades of funding and research focused on combatting the spread of human immunodeficiency virus (HIV) have produced critical advances in antiretroviral therapies that have extended and improved the lives of those infected with HIV, and have proven effective at reducing transmission to those uninfected when treatment begins early and adherence is maintained.

Due to its importance and application potential, this notion has been extended, improved and generalized in many different ways.

Although directly providing treatment is beyond the scope of the trials, findings resulting from these studies have already enabled Columbia oncologists to recommend therapies that have extended survival and improved quality of life in patients.

Many authors have extended, generalized and improved Banach's fixed point theorem in different ways.

Following this outstanding paper, many authors have extended, generalized and improved this remarkable fixed point theorem of Banach by changing either the conditions of the mappings or the construction of the space.

This blockbuster medicine has extended and improved the lives of countless cancer patients around the world.