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We extend duality between the quantum integrable Gaudin models with boundary and the classical Calogero-Moser systems associated with root systems of classical Lie algebras $B_N$, $C_N$, $D_N$ to the case of supersymmetric ${\rm gl}(m|n)$ Gaudin models with $m+n=2$. Namely, we show that the spectra of quantum Hamiltonians for all such magnets being identified with the classical particles velocities provide the zero level of the classical action variables., Comment: 21 pages, minor changes

The scientific article considers the impact of the error of circular control methods on assessing the quality of anti-erosion soil tillage on slope lands. The applied control methods are implemented in scientifically based designs of technical control facilities that can provide high measuring accuracy of the parameters, when profiling the soil surface for different slopes of the agricultural landscape of slope lands. It was found that the device error along the measurement path is negligible, since it is theoretically possible to set the scanning angle of 60 or more degrees, while the radial error is restrained, which does not allow setting such limits of angles even when the device arm length is 0.5 m. On the bases of the results of analytical studies, we obtained a graph of changes of the surface width being measured after the passage of the working part, depending on the scanning angle when the mechanism vibrates. The analysis of the graph allows us to conclude that in order to scan the underlying surface in case the working part width of the anti-erosion machine is known or can be predicted within the acceptable error values, it is necessary to change the radius of the scanned circle by changing the arm length. For example, when working part width is less than 0.5 meters, you can use any circle radii. If the width of soil tillage - from 0.5 meters to 1 meter, the circle radius should be more than 0.7 m and the scanning angle should be less than 50 degrees. When the width of the working part of more than 1 meter the circle radius should be about 3 meters that slightly complicates the design of the device since the diameter reaches almost 6 meters.