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The phrase "a very challenging problem" is correct and usable in written English.
You can use it when describing a situation or task that is difficult and requires significant effort or skill to solve.
Example: "The team faced a very challenging problem when trying to develop a solution for the outdated software system."
Alternatives: "a highly difficult issue" or "a particularly tough challenge."
Exact(60)
"It's a very challenging problem from a data-analysis standpoint.
Contrast Enhancement Evaluation (CEE) is a very challenging problem.
Additionally unsupervised impact evaluation is a very challenging problem.
Synchronizing time across mobile devices is a very challenging problem for app makers.
This is a very challenging problem and often inexact Newton solvers present severe difficulties to converge.
The high uncertainty and nonlinearity of the entry dynamics make the estimation a very challenging problem.
In this age of big data, analyzing big data is a very challenging problem.
Multi-domain traffic engineering is a very challenging problem area and crankback signaling offers a very promising solutions framework herein.
Due to the uncertainties that occur during this process, designing and balancing a disassembly line is a very challenging problem.
Expecting them to vigilantly monitor a system that operates as well as this does is a really a very challenging problem".
For dispersive and time-varying HF channels, where the propagating wave also suffers from the multipath phenomena, estimation of DOA is a very challenging problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com