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He also found infinitesimals useful in modern analysis and proved some new results with their help.
Parallel computing has matured from a narrow academic environment, where researchers developed finite element computing tools for performing their studies, to become the basis in modern analysis and design procedures.
The Banach contraction principle [1] is one of the most powerful and useful tools in modern analysis.
As we have known, the Banach contraction principle is a very useful, simple and classical tool in modern analysis.
There is no doubt that fixed point theory for nonexpansive mappings is one of the central topics in modern analysis.
As is well known, the Banach contraction mapping principle is a very useful, simple and classical tool in modern analysis, and it has many applications in applied mathematics.
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In the modern analysis of systems in engineering, a great deal of effort has been invested in the development of sophisticated computer models.
Sobolev spaces [11], i.e., the class of functions with derivatives in (L^p,) play an outstanding role in the modern analysis.
Everything is reducible, in the modern analysis, to cost vs. benefit.
Flow analysis, which developed for decades parallel to flow methods of chemical synthesis, is widely employed in modern chemical analysis, mainly for environmental, food analysis and pharmaceutical applications.
In the 1970s, paleontologist Eugene Gaffney of the American Museum of Natural History (AMNH) in New York City conducted the first modern analysis of turtle evolution.
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