The Eliminant of Three Quantics in two Independent Variables
The Eliminant of Three Quantics in two Independent Variables
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DOI：
10.1112/plms/s2-7.1.49
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发表时间：
--
影响因子：
1.8
通讯作者：
A. L. Dixon
中科院分区：
文献类型：
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作者：
A. L. Dixon
前八段涉及更常见的标准形式1，A）。8x''ys（r-s J> n）;本文给出了一种求任意三个同阶或异阶量的纯消去式的方法，但我还不能把它应用于两个以上自变量的量。（§§ 17-21）处理作为行列式的消去式的表达，行列式的组成部分是任意量对的集合的函数，这个结果与我最近在学会上发表的关于”两个Quantics的消去式的形式”的论文中的结果类似。
The first eight paragraphs deal with the more usual standard form 1, A). 8x''ys (r-\-s J> n); a method is given for finding the pure eliminant of any three such quantics, of the same or different degrees, but I have not been able to adapt this to quantics in more than two independent variables.The other section of the paper (§§ 17-21) deals with the expression of the eliminant as a determinant whose constituents are functions of sets of pairs of arbitrary quantities, the results being analogous to those of my paper on a" Form of the Eliminant of Two Quantics," recently published by the Society.*