Sentence examples for indispensable and effective from inspiring English sources
The classical Banach contraction principle proved in complete metric spaces continues to be an indispensable and effective tool in theory as well as applications, which guarantees the existence and uniqueness of fixed points of contraction self-mappings besides offering a constructive procedure to compute the fixed point of the underlying mapping.
In complete metric spaces it continues to be an indispensable and effective tool in theory and applications, which guarantees the existence and uniqueness of fixed points of contraction self-mappings besides offering a constructive procedure to compute the fixed point of the underlying mapping.
Diagnostic blood sampling is an indispensable and effective tool for assessing critically ill patients.
This is an area in which up-to-date knowledge of the literature is indispensable for efficient and effective design and analysis of these experiments.
Finance and reasonable resources are indispensable for successful and effective execution of any improvement program.
With newly developed small molecule inhibitors or alternative drug strategies, mutational analysis may become indispensable for rationale and effective GIST treatment in the future.
Therefore, a process monitoring system which can detect and diagnose blockage is indispensable for effective and stable operation of microchemical processes.
By combining with bioactivity assays, we demonstrated that "functional compound combination (FCC)", which is the core and indispensable effective part, could be discovered from an herbal medicine and suitable as marker compounds for quality control.
It is indispensable for effective and successful prevention that minors not only acquire the skills but that they learn to apply them in a dangerous and high-risk situation by avoiding or escaping from it [ 27].
Due to the various adverse consequences for AN-affected individuals and the healthcare system an early and effective treatment is indispensable.
Vibrotactile feedback which can provide real, comfortable and effective interaction experiences has become indispensable in human computer interaction.
