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The phrase "a special system of" is correct and usable in written English.
It can be used when describing a unique or specific method, structure, or arrangement related to a particular subject or field.
Example: "The researchers developed a special system of classification to categorize the newly discovered species."
Alternatives: "a unique method of" or "an exclusive framework of".
Exact(14)
Rather, it exists under a special system of self-rule that is administered by the federal government.
When pumped, this increases the air pressure in a special system of tubes and valves inside the shoe, thus giving added grip and ankle support.
A special system of compulsory arbitration operated through the State Arbitration Tribunal (known as Gosarbitrazh) under the Council of Ministers and through arbitration tribunals responsible to the councils of ministers in each of the republics.
A special system of counting was this year adopted by the officials, by which they were enabled to arrive at the exact number of the "extra" correspondence, whereas in previous years the estimate was only approximate, though no doubt sufficiently accurate for all practical purposes.
For determining the coefficients of the general solution, a special system of piecewise smooth basis functions is introduced.
In the paper [21], a special system of functions was proposed to expand this mixed problem by means of a slight modification of the separation of variables method.
Similar(45)
Nevertheless, these studies consider qualitative properties of large classes of problems, whereas we focus on a quantitative analysis of a very special system of ODEs.
Now we will construct a special fundamental system of solutions of (2.1) for λ not being an eigenvalue.
Now, we shall construct a special fundamental system of solutions of the Equation (15) for λ not being an eigenvalue.
Now, we shall construct a special fundamental system of solutions of equation (2.1) for λ not being an eigenvalue.
Now, we construct a special fundamental system of solutions of equation (2.1) for λ not being an eigenvalue.
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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