Über die Zerlegung definiter Funktionen in Quadrate
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A continuous casting system provides with a foreign matter receiving gutter between two adjacent rolls to receive foreign matters dropping during the drawing operation of castings, and a foreign matter removing nozzle to wash away the foreign matter dropped on the gutter. An electromagnetic agitator of the continuous casting system is provided with a proximity switch at least at its inlet side to sense a magnetic substance approaching the agitator thereby to control the operation of the agitator, thus eliminating troubles caused by the vibration of the magnetic substance.
[1] D. Hilbert. Über die Darstellung definiter Formen als Summe von Formenquadraten , 1888 .
[2] D. Hilbert. Über ternäre definite Formen , 1893 .
[3] Über die Darstellung definiter binärer Formen durch Quadrate , 1903 .
[4] E. Landau. Über die Darstellung definiter Funktionen durch Quadrate , 1906 .
[5] David Hilbert,et al. Grundlagen der Geometrie , 2022 .