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'overcome a difficulty' is correct and usable in written English
You can use it to describe the act of successfully dealing with an issue or challenge that someone is facing. For example, "They were able to overcome the difficulty of the long journey and reach their destination safely."
Exact(2)
When he arrived in Zürich in the fall of 1913, Einstein and Grossmann were struggling to overcome a difficulty in their effort to provide a coherent mathematical formulation of the general theory of relativity.
Defining HTA as a knowledge mobilization process could provide a conceptual basis to overcome a difficulty many authors have raised, i.e. the problem of integrating social, political and ethical issues in HTA [ 39, 40], which, if lacking, would undermine the capacity of most HTA agencies to influence policy and practice appropriately and effectively [ 3, 6, 40, 41].
Similar(57)
This overcomes a difficulty in CS of using a new mask for every measurement.
In doing so we overcome a substantial theoretical difficulty in using reversible indel models during phylogenetic reconstruction.
To overcome such a difficulty is one of the main tasks in this paper.
The subgradient aggregation strategy [22] is the most popular and efficient way to overcome such a difficulty.
This paper provides a new separability measure, the so-called miss-classification probability, in order to overcome such a difficulty.
To overcome such a difficulty, we design new training sequences and propose precoding matrices for use at the source and relays.
In order to overcome such a difficulty, this paper describes a new method for the design of nonrecursive FIR filters with simultaneously MAXFLAT magnitude and accurate cutoff frequency.
The bootstrap method [38], which has been extensively analyzed in the literature, provides an effective means for overcoming such a difficulty.
In order to overcome this difficulty, a variant implicit function theorem and an abstract two-dimensional bifurcation theorem are proved.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com