<magnify>1</magnify>
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<URI>/rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi</URI>
<REMOTE_ADDR>157.118.206.41</REMOTE_ADDR>
<file_last_modified>1607265970 2020/12/06 23:46:10</file_last_modified>
<equation>\left(
\begin{array}{cccc}
 {E0}+{k_x}^2 \left(\frac{{k_y} {s1}}{2}+\frac{{u1}}{2}\right)+\frac{{k_x}^3 {s3}}{6}-\frac{1}{2} {k_x} {k_y}^2 {s3}-\frac{{k_y}^3 {s1}}{6}+\frac{{k_y}^2 {u1}}{2}+m &amp; \frac{1}{2} {k_x}^2 {k_y} \left(\frac{{s5}}{3}-\frac{i {s4}}{3}\right)+\frac{1}{6} {k_x}^3 ({s4}+i {s5})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s4}}{3}+\frac{i {s5}}{3}\right)+{v1}+i {v2}\right)+\frac{1}{6} {k_y}^3 ({s5}-i {s4})+{k_y} ({v2}-i {v1}) &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s7}}{3}+\frac{i {s6}}{3}\right)+\frac{1}{2} ({u3}+i {u4})\right)+\frac{1}{6} {k_x}^3 ({s6}+i {s7})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s6}}{3}+\frac{i {s7}}{3}\right)+{k_y} ({u4}-i {u3})+{v3}-i {v4}\right)+\frac{1}{6} {k_y}^3 (-{s7}+i {s6})+\frac{1}{2} {k_y}^2 (-{u3}-i {u4})+{k_y} ({v4}+i {v3}) &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s11}}{3}+\frac{i {s10}}{3}\right)+\frac{1}{2} (-{u7}-i {u8})\right)+\frac{1}{6} {k_x}^3 ({s10}+i {s11})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s10}}{3}+\frac{i {s11}}{3}\right)+{k_y} (-{u8}+i {u7})+{v5}-i {v6}\right)+\frac{1}{6} {k_y}^3 (-{s11}+i {s10})+\frac{1}{2} {k_y}^2 ({u7}+i {u8})+{k_y} ({v6}+i {v5}) \\
 \frac{1}{2} {k_x}^2 {k_y} \left(\frac{{s5}}{3}+\frac{i {s4}}{3}\right)+\frac{1}{6} {k_x}^3 ({s4}-i {s5})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s4}}{3}-\frac{i {s5}}{3}\right)+{v1}-i {v2}\right)+\frac{1}{6} {k_y}^3 ({s5}+i {s4})+{k_y} ({v2}+i {v1}) &amp; {E0}+{k_x}^2 \left(\frac{{u1}}{2}-\frac{{k_y} {s1}}{2}\right)-\frac{{k_x}^3 {s3}}{6}+\frac{1}{2} {k_x} {k_y}^2 {s3}+\frac{{k_y}^3 {s1}}{6}+\frac{{k_y}^2 {u1}}{2}+m &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s11}}{3}-\frac{i {s10}}{3}\right)+\frac{1}{2} ({u7}-i {u8})\right)+\frac{1}{6} {k_x}^3 ({s10}-i {s11})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s10}}{3}-\frac{i {s11}}{3}\right)+{k_y} ({u8}+i {u7})+{v5}+i {v6}\right)+\frac{1}{6} {k_y}^3 (-{s11}-i {s10})+\frac{1}{2} {k_y}^2 (-{u7}+i {u8})+{k_y} ({v6}-i {v5}) &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(\frac{{s7}}{3}+\frac{i {s6}}{3}\right)+\frac{1}{2} ({u3}-i {u4})\right)+\frac{1}{6} {k_x}^3 (-{s6}+i {s7})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(-\frac{{s6}}{3}+\frac{i {s7}}{3}\right)+{k_y} ({u4}+i {u3})-{v3}-i {v4}\right)+\frac{1}{6} {k_y}^3 ({s7}+i {s6})+\frac{1}{2} {k_y}^2 (-{u3}+i {u4})+{k_y} (-{v4}+i {v3}) \\
 {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s7}}{3}-\frac{i {s6}}{3}\right)+\frac{1}{2} ({u3}-i {u4})\right)+\frac{1}{6} {k_x}^3 ({s6}-i {s7})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s6}}{3}-\frac{i {s7}}{3}\right)+{k_y} ({u4}+i {u3})+{v3}+i {v4}\right)+\frac{1}{6} {k_y}^3 (-{s7}-i {s6})+\frac{1}{2} {k_y}^2 (-{u3}+i {u4})+{k_y} ({v4}-i {v3}) &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s11}}{3}+\frac{i {s10}}{3}\right)+\frac{1}{2} ({u7}+i {u8})\right)+\frac{1}{6} {k_x}^3 ({s10}+i {s11})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s10}}{3}+\frac{i {s11}}{3}\right)+{k_y} ({u8}-i {u7})+{v5}-i {v6}\right)+\frac{1}{6} {k_y}^3 (-{s11}+i {s10})+\frac{1}{2} {k_y}^2 (-{u7}-i {u8})+{k_y} ({v6}+i {v5}) &amp; {E0}+{k_x}^2 \left(\frac{{k_y} {s12}}{2}+\frac{{u2}}{2}\right)+\frac{{k_x}^3 {s2}}{6}-\frac{1}{2} {k_x} {k_y}^2 {s2}-\frac{{k_y}^3 {s12}}{6}+\frac{{k_y}^2 {u2}}{2}-m &amp; \frac{1}{2} {k_x}^2 {k_y} ({s15}+i {s16})+\frac{1}{6} {k_x}^3 ({s13}+i {s14})+\frac{1}{2} {k_x} {k_y}^2 (-{s13}-i {s14})+\frac{1}{6} {k_y}^3 (-{s15}-i {s16}) \\
 {k_x}^2 \left(\frac{1}{2} {k_y} \left(-\frac{{s11}}{3}-\frac{i {s10}}{3}\right)+\frac{1}{2} (-{u7}+i {u8})\right)+\frac{1}{6} {k_x}^3 ({s10}-i {s11})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(\frac{{s10}}{3}-\frac{i {s11}}{3}\right)+{k_y} (-{u8}-i {u7})+{v5}+i {v6}\right)+\frac{1}{6} {k_y}^3 (-{s11}-i {s10})+\frac{1}{2} {k_y}^2 ({u7}-i {u8})+{k_y} ({v6}-i {v5}) &amp; {k_x}^2 \left(\frac{1}{2} {k_y} \left(\frac{{s7}}{3}-\frac{i {s6}}{3}\right)+\frac{1}{2} ({u3}+i {u4})\right)+\frac{1}{6} {k_x}^3 (-{s6}-i {s7})+{k_x} \left(\frac{1}{2} {k_y}^2 \left(-\frac{{s6}}{3}-\frac{i {s7}}{3}\right)+{k_y} ({u4}-i {u3})-{v3}+i {v4}\right)+\frac{1}{6} {k_y}^3 ({s7}-i {s6})+\frac{1}{2} {k_y}^2 (-{u3}-i {u4})+{k_y} (-{v4}-i {v3}) &amp; \frac{1}{2} {k_x}^2 {k_y} ({s15}-i {s16})+\frac{1}{6} {k_x}^3 ({s13}-i {s14})+\frac{1}{2} {k_x} {k_y}^2 (-{s13}+i {s14})+\frac{1}{6} {k_y}^3 (-{s15}+i {s16}) &amp; {E0}+{k_x}^2 \left(\frac{{u2}}{2}-\frac{{k_y} {s12}}{2}\right)-\frac{{k_x}^3 {s2}}{6}+\frac{1}{2} {k_x} {k_y}^2 {s2}+\frac{{k_y}^3 {s12}}{6}+\frac{{k_y}^2 {u2}}{2}-m \\
\end{array}
\right)</equation>
<file_revision>2</file_revision>
<system_image>&lt;IMG SRC=&quot;../cgi-cache/20201206_234548.gif&quot;&gt;</system_image>
<sys_convert>変換</sys_convert>
<sys_message>正常に処理されました
</sys_message>
<sys_error></sys_error>
<sys_datacode>20201206_234548</sys_datacode>
<referby>http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html</referby>
<LastModified>Sun Dec  6 23:46:10 2020</LastModified>