Sentence examples for understanding of the solutions from inspiring English sources

Richard Melrose, the Simons professor of mathematics at the Massachusetts Institute of Technology, said Dr. Hormander's work produced an "effective machine" — that is, an extensive theoretical apparatus — that led to a deep understanding of the solutions to a wide and important class of differential equations that previously resisted analysis.

Indeed, there are numerous techniques that have been described throughout the literature that can be used to obtain a deeper understanding of the solutions that have been adopted.

So while the IPCC will continue to advance the world's understanding about the science of climate change, it will better serve global policy-makers by providing a more in-depth, and clear, understanding of the solutions.

This allows for a rather thorough understanding of the solutions of the problem, through both exact results and a detailed analysis of various limiting regimes.

Marine litter is a global environmental problem, and working with educators and school students has much potential to facilitate greater public understanding of the solutions and to enable action.

They are also only in the early beginning stages of gaining an understanding of the solutions available to fulfill these desires.

The comprehension of examples may have helped in generating various situations; however, it may not have necessarily facilitated understanding of the solution structures.

To gain a better understanding of the solution concentration effect on the dielectrophoresis process, the electrical properties of the devices after dielectrophoresis are characterized with a semiconductor device analyzer (Agilent Technologies B1500A).

(3) Deeper understanding: Are there any differences in the EEG signals immediately prior to a correct versus a false positive "more appropriate" understanding of the solution?

Here, we compared correct (N = 425) with incorrect or false positive solutions (N = 83) without hint to investigate if there are any differences between the neural processes leading to a correct solution (and thus a true deeper understanding of the solution) and an incorrect solution (and thus a false positive understanding of the problem and its solution).

Kelefa Sanneh, in his review of "The Cultural Matrix: Understanding Black Youth," by Orlando Patterson and Ethan Fosse, seems to reveal the irrelevance of sociology as a discipline to both the understanding of and the solution to problems in the African-American community ("Don't Be Like That," February 9th).