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--- 물리:짚고_넘어가야_할_점 [2022/12/02 14:18] – created jiwon
+++ 물리:짚고_넘어가야_할_점 [2022/12/02 14:54] – jiwon
@@ Line 98: / Line 98: @@
 					\right)
 $$
-복제 대칭해의 경우에 얻었던 $n(n-1)2$의 중복도를 가지는 replicon mode를 똑같이 얻어내었다.
+복제 대칭해의 경우에 얻었던 $n(n-1)2$의 중복도를 가지는 replicon mode를 똑같이 얻어내었다. 만약 $n=4$, $m_1=1$이라면
+$$
+\mathbf G=
+\left(
+\begin{array}{cccccccccc}
+ A & B_0 & B_0 & B_0 & C_0 & C_0 & C_0 & D_{02} & D_{02} & D_{02} \\
+  B_0 & A & B_0 & B_0 & C_0 & D_{02} & D_{02} & C_0 & C_0 & D_{02} \\
+	 B_0 & B_0 & A & B_0 & D_{02} & C_0 & D_{02} & C_0 & D_{02} & C_0 \\
+	  B_0 & B_0 & B_0 & A & D_{02} & D_{02} & C_0 & D_{02} & C_0 & C_0 \\
+		 C_0 & C_0 & D_{02} & D_{02} & P_0 & Q_{00} & Q_{00} & Q_{00} & \
+		 Q_{00} & R_{1:1:1:1} \\
+		  C_0 & D_{02} & C_0 & D_{02} & Q_{00} & P_0 & Q_{00} & Q_{00} & \
+			R_{1:1:1:1} & Q_{00} \\
+			 C_0 & D_{02} & D_{02} & C_0 & Q_{00} & Q_{00} & P_0 & R_{1:1:1:1} & \
+			 Q_{00} & Q_{00} \\
+			  D_{02} & C_0 & C_0 & D_{02} & Q_{00} & Q_{00} & R_{1:1:1:1} & P_0 & \
+				Q_{00} & Q_{00} \\
+				 D_{02} & C_0 & D_{02} & C_0 & Q_{00} & R_{1:1:1:1} & Q_{00} & Q_{00} \
+				 & P_0 & Q_{00} \\
+				  D_{02} & D_{02} & C_0 & C_0 & R_{1:1:1:1} & Q_{00} & Q_{00} & Q_{00} \
+					& Q_{00} & P_0 \\
+					\end{array}
+					\right)
+$$
+고윳값들은
+$$
+\left(
+\begin{array}{c}
+ P_0-2 Q_{00}+R_{1:1:1:1} \\
+  P_0-2 Q_{00}+R_{1:1:1:1} \\
+	 \frac{1}{2} \left(-\sqrt{(A+3 B_0+P_0+4 Q_{00}+R_{1:1:1:1})^2-4 (A+3 \
+	 B_0) (P_0+4 Q_{00}+R_{1:1:1:1})+24 C_0^2+48 C_0 D_{02}+24 \
+	 D_{02}^2}+A+3 B_0+P_0+4 Q_{00}+R_{1:1:1:1}\right) \\
+	  \frac{1}{2} \left(\sqrt{(A+3 B_0+P_0+4 Q_{00}+R_{1:1:1:1})^2-4 (A+3 \
+		B_0) (P_0+4 Q_{00}+R_{1:1:1:1})+24 C_0^2+48 C_0 D_{02}+24 \
+		D_{02}^2}+A+3 B_0+P_0+4 Q_{00}+R_{1:1:1:1}\right) \\
+		 \frac{1}{2} \left(-\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+		 (P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+		 D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+		  \frac{1}{2} \left(-\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+			(P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+			D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+			 \frac{1}{2} \left(-\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+			 (P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+			 D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+			  \frac{1}{2} \left(\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+				(P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+				D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+				 \frac{1}{2} \left(\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+				 (P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+				 D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+				  \frac{1}{2} \left(\sqrt{(A-B_0+P_0-R_{1:1:1:1})^2-4 (A-B_0) \
+					(P_0-R_{1:1:1:1})+8 C_0^2-16 C_0 D_{02}+8 \
+					D_{02}^2}+A-B_0+P_0-R_{1:1:1:1}\right) \\
+					\end{array}
+					\right)
+$$
+와 같다.