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Using exponential contraction, we establish an upper bound for the Morse lemma that is optimal up to multiplicative constants, which we demonstrate by presenting a concrete example.
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Let me present a concrete example.
We present a concrete example occurring in flow of steam, nitrogen and water in porous media and an abstract example for a class of systems of three equations.
In this section, we present a concrete example of our approach.
Molica Bisci and Repovs̆ in [37], exploiting variational methods, investigated the existence of multiple weak solutions for a class of elliptic Navier boundary problems involving the p-biharmonic operator and presented a concrete example of an application.
After proving the main results we state, for convenience of the reader, the introduced techniques in the case of three nonlinear fractional differential equations and also present a concrete example.
The experiment presented is a concrete example of how to gather and mobilize relevant knowledge from local stakeholders to support local agencies in designing effective local strategies.
Our approach is presented through a concrete example of benchmarking the performance and recovery of an Oracle DBMS running the standard TPC-C benchmark, extended to include two new elements: a faultload based on operator faults and measures related to recoverability.
The pilot study of the marine industries was presented as a concrete example of this new management innovation.
Van Doorn et al. (2004) present a concrete example where mate choice is combined with disruptive intrasexual selection generated by male male competition, demonstrating that diversifying selection on female preferences can lead to truly adaptive speciation (that is, speciation fully driven by sexual selection).
To give a concrete example, consider the following object.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com