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In this article an attempt is made to move away from the traditional consideration of the problems of the Farm. As the author notes the fallacy of the traditional approach is that if the mathematician-fan was able to formulate a statement as proven, then specially trained and well-trained people could have made it easily. And, if they couldn’t, then there was a gap in the science of mathematics. A different approach is required.

The article discusses the construction of splines interpolation of varying degree and compares their features, the spline is described in this article as a function, which is divided into the final number of pieces and the spline coincide with some polynomial on each of these pieces.