Isis . f the destructive sign (*), and the productstaken parallel to these diagonals are alternately of the creative anddestructive signs. An example is given in figure 12. For the case of the order 3 + in the products along and parallel tothe diagonal drawn from the right upper corner, are all creative, theothers being all destructive {^). In different koshiki the signs will bealtered. () As to the use of the sei (creative) and the hohu (destructive) signs we havereferred to them in connection with Sbkis work. (2j Kwannos description of the signs for the orders 2+4« and 3+4)1. seemsto be reve
Isis . f the destructive sign (*), and the productstaken parallel to these diagonals are alternately of the creative anddestructive signs. An example is given in figure 12. For the case of the order 3 + in the products along and parallel tothe diagonal drawn from the right upper corner, are all creative, theothers being all destructive {^). In different koshiki the signs will bealtered. () As to the use of the sei (creative) and the hohu (destructive) signs we havereferred to them in connection with Sbkis work. (2j Kwannos description of the signs for the orders 2+4« and 3+4)1. seemsto be reversed, taking the creative to be destructive and vice versa. But he hasdrawn his figures correctly. ON THE JAPANESE THEORY OF DETERMINANTS 21 For the case of the order 4 + An, the two diagonals are both creative,Other products being successively alternated as to their signs. For the case of the order o + in the products are all creative; indifferent sets of oblique multiplications different signs Though KwANNos description goes no further than this, the legi-timacy of his results is out of question. But we have to prove it bydint of some results considered by old Japanese mathematicians. Forthis purpose the contents of Toitas Sei-koku /Hipo-deu will best answer. © © ®
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Keywords: ., bookcentury1900, bookdecade1910, booksubjectscience, bookyear1913
