怎么用网站后台做轮播图,免费网站建设itcask,朋友圈网络营销,郑州网站建设郑州网站建设七彩科技【三者的关系】
首先#xff0c;辗转相除法可以通过Sylvester矩阵进行#xff0c;过程如下#xff08;以 m 8 、 l 7 m 8、l 7 m8、l7为例子#xff09;。
首先调整矩阵中 a a a系数到最后面几行#xff0c;如下所示#xff1a; S ( a 8 a 7 a 6 a 5 a 4 a 3 a 2 …【三者的关系】
首先辗转相除法可以通过Sylvester矩阵进行过程如下以 m 8 、 l 7 m 8、l 7 m8、l7为例子。
首先调整矩阵中 a a a系数到最后面几行如下所示 S ( a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 ) ∼ S ′ ( b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 ) S \begin{pmatrix} a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 0 \\ 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 \\ 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 \\ 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 \\ 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 \\ 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 \\ 0 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} \\ b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 \\ 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 \\ 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 \\ 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 \\ 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 \\ 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \end{pmatrix}\sim S^{} \begin{pmatrix} b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 \\ 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 \\ 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 \\ 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 \\ 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 \\ 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \\ a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 0 \\ 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 \\ 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 \\ 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 \\ 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 \\ 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 \\ 0 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} \end{pmatrix} S a8000000b70000000a7a800000b6b7000000a6a7a80000b5b6b700000a5a6a7a8000b4b5b6b70000a4a5a6a7a800b3b4b5b6b7000a3a4a5a6a7a80b2b3b4b5b6b700a2a3a4a5a6a7a8b1b2b3b4b5b6b70a1a2a3a4a5a6a7b0b1b2b3b4b5b6b7a0a1a2a3a4a5a60b0b1b2b3b4b5b60a0a1a2a3a4a500b0b1b2b3b4b500a0a1a2a3a4000b0b1b2b3b4000a0a1a2a30000b0b1b2b30000a0a1a200000b0b1b200000a0a1000000b0b1000000a00000000b0 ∼S′ b70000000a8000000b6b7000000a7a800000b5b6b700000a6a7a80000b4b5b6b70000a5a6a7a8000b3b4b5b6b7000a4a5a6a7a800b2b3b4b5b6b700a3a4a5a6a7a80b1b2b3b4b5b6b70a2a3a4a5a6a7a8b0b1b2b3b4b5b6b7a1a2a3a4a5a6a70b0b1b2b3b4b5b6a0a1a2a3a4a5a600b0b1b2b3b4b50a0a1a2a3a4a5000b0b1b2b3b400a0a1a2a3a40000b0b1b2b3000a0a1a2a300000b0b1b20000a0a1a2000000b0b100000a0a10000000b0000000a0
1.执行辗转相除法第一步 F 8 Q 8 , 7 × F 7 F 6 deg ( F 8 ) 8 deg ( F 7 ) 7 deg ( F 6 ) 6 F_{8} Q_{8,7} \times F_{7} F_{6}\ \ \ \ \ \ \ \ \ \ \deg\left( F_{8} \right) 8\ \ \ \ \ \ \deg\left( F_{7} \right) 7\ \ \ \ \ \ \deg\left( F_{6} \right) 6 F8Q8,7×F7F6 deg(F8)8 deg(F7)7 deg(F6)6 ( − 1 ) 8 × 7 ∣ S ∣ F 7 F 7 F 7 F 7 F 7 F 7 F 7 F 7 F 8 F 8 F 8 F 8 F 8 F 8 F 8 ∣ b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 0 0 0 0 0 0 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 ∣ F 7 F 7 F 7 F 7 F 7 F 7 F 7 F 7 F 6 F 6 F 6 F 6 F 6 F 6 F 6 ∣ b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 0 0 0 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 0 0 0 0 0 0 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 ∣ ( - 1)^{8 \times 7}|S| \begin{matrix} \begin{matrix} F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{8} \\ F_{8} \\ F_{8} \\ F_{8} \\ F_{8} \\ F_{8} \\ F_{8} \end{matrix} \left| \begin{matrix} b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 \\ 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 \\ 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 \\ 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 \\ 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 \\ 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \\ a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 0 \\ 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 0 \\ 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 0 \\ 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 0 \\ 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 0 \\ 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} 0 \\ 0 0 0 0 0 0 a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} \end{matrix} \right| \end{matrix} \begin{matrix} \begin{matrix} F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{7} \\ F_{6} \\ F_{6} \\ F_{6} \\ F_{6} \\ F_{6} \\ F_{6} \\ F_{6} \end{matrix} \left| \begin{matrix} b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 0 \\ 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 0 \\ 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 0 \\ 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 0 \\ 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 0 \\ 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 0 0 0 0 0 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \\ 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 0 0 0 0 0 \\ 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 0 0 0 0 \\ 0 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 0 0 0 \\ 0 0 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 0 0 \\ 0 0 0 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 0 \\ 0 0 0 0 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} 0 \\ 0 0 0 0 0 0 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} \end{matrix} \right| \end{matrix} (−1)8×7∣S∣F7F7F7F7F7F7F7F7F8F8F8F8F8F8F8 b70000000a8000000b6b7000000a7a800000b5b6b700000a6a7a80000b4b5b6b70000a5a6a7a8000b3b4b5b6b7000a4a5a6a7a800b2b3b4b5b6b700a3a4a5a6a7a80b1b2b3b4b5b6b70a2a3a4a5a6a7a8b0b1b2b3b4b5b6b7a1a2a3a4a5a6a70b0b1b2b3b4b5b6a0a1a2a3a4a5a600b0b1b2b3b4b50a0a1a2a3a4a5000b0b1b2b3b400a0a1a2a3a40000b0b1b2b3000a0a1a2a300000b0b1b20000a0a1a2000000b0b100000a0a10000000b0000000a0 F7F7F7F7F7F7F7F7F6F6F6F6F6F6F6 b700000000000000b6b70000000000000b5b6b700000c6000000b4b5b6b70000c5c600000b3b4b5b6b7000c4c5c60000b2b3b4b5b6b700c3c4c5c6000b1b2b3b4b5b6b70c2c3c4c5c600b0b1b2b3b4b5b6b7c1c2c3c4c5c600b0b1b2b3b4b5b6c0c1c2c3c4c5c600b0b1b2b3b4b50c0c1c2c3c4c5000b0b1b2b3b400c0c1c2c3c40000b0b1b2b3000c0c1c2c300000b0b1b20000c0c1c2000000b0b100000c0c10000000b0000000c0
对应子结式 S 6 S_{6} S6 S 6 ( − 1 ) 2 × 1 d e t p o l ( F 7 F 7 F 8 ( b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 a 8 a 7 a 6 a 5 a 4 a 3 a 2 a 1 a 0 ) ) ( − 1 ) 2 × 1 d e t p o l ( F 7 F 7 F 6 ( b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 0 0 c 6 c 5 c 4 c 3 c 2 c 1 c 0 ) ) S_{6} ( - 1)^{2 \times 1}detpol\begin{pmatrix} \begin{matrix} F_{7} \\ F_{7} \\ F_{8} \end{matrix} \begin{pmatrix} b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \\ a_{8} a_{7} a_{6} a_{5} a_{4} a_{3} a_{2} a_{1} a_{0} \end{pmatrix} \end{pmatrix} ( - 1)^{2 \times 1}detpol\begin{pmatrix} \begin{matrix} F_{7} \\ F_{7} \\ F_{6} \end{matrix} \begin{pmatrix} b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} 0 \\ 0 b_{7} b_{6} b_{5} b_{4} b_{3} b_{2} b_{1} b_{0} \\ 0 0 c_{6} c_{5} c_{4} c_{3} c_{2} c_{1} c_{0} \end{pmatrix} \end{pmatrix} S6(−1)2×1detpol F7F7F8 b70a8b6b7a7b5b6a6b4b5a5b3b4a4b2b3a3b1b2a2b0b1a10b0a0 (−1)2×1detpol F7F7F6 b700b6b70b5b6c6b4b5c5b3b4c4b2b3c3b1b2c2b0b1c10b0c0
