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The properties of a Chebyshev approximation by the sum of a linear expression and an arctangent function have been investigated. The condition has been established under which a Chebyshev approximation by this expression with the smallest absolute error and with the reproduction of the function value at the leftmost point exists and is unique. A method of determining the parameters of this approximation has been suggested and substantiated. The results of a Chebyshev approximation of the magnetization characteristic of electrotechnical steel by the sum of a linear expression and an arctangent function have been presented.

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