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For instance, we can modify Problem 1 to consider three probability measures, one for each friend.
It describes how people modify problem behaviours or acquire positive new ones [ 11, 33, 37].
Test interviews were also used to test and modify problem indicators for behaviour coding and to finalise the cognitive interview protocol.
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Consider the modified problem.
Step 1: The modified problem.
Let us consider the following modified problem.
Now we consider the slightly modified problem (1.3).
Then, we consider the following modified problem: (217).
In Section 3 we prove the existence of nodal solutions of the modified problem.
Then Problem (40) can be solved optimally by directly applying Algorithm 1 with the modified Problem P1 to check the feasibility.
We also construct a modified problem describing the behaviour of numerical solutions, so the finite difference method may be regarded as an approximation of the modified problem.
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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