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The phrase 'this problem is equivalent to' is correct and usable in written English.
You can use it to compare two different problems or tasks that have the same level of difficulty. For example, "This problem is equivalent to the problem we worked on last week; it will require the same amount of effort to solve."
Idiom
Problem is thirty.
If a problem is 30, the problem is the person who sits 30 cm from the computer screen.
Exact(34)
This problem is equivalent to solving (2.1).
This problem is equivalent to the integral equation (3.8).
This problem is equivalent to a generalized maximum-likelihood detection problem in the cyclic frequency domain.
Using Lemma 1 and the results above, this problem is equivalent to SDP as (31).
Then we show that the robust formulation of this problem is equivalent to a linear programming.
We show that the robust formulation of this problem is equivalent to a linear optimization problem.
Similar(26)
If and also only one weighting function is considered, the problem is equivalent to Steiner minimal tree problem (SMT).
At the interface, the problem is equivalent to Bernoulli's equation consisting of mappings from potential/velocity to velocity/pressure.
This quadratic problem is equivalent to maximize the minimum distance between the user received symbols and corresponding decision boundaries.
Provided that the tokeniser is fine enough to avoid tokens with overlapping annotations, this redefined problem is equivalent to the original one.
Based on earlier publications, it is indicated that if the structure is controlled by Nc ideal actuators this min max problem is equivalent to minimizing the Nc+1th singular value of the disturbance influence matrix.
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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