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한명수

Posted at 2012-01-14 11:09:59

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이현녀 선생님의 답글입니다.   <DIV class=board> 언뜻 생각난 건데요. 허수단위 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=54 align=absMiddle height=19><PARAM NAME="_cx" VALUE="1428"><PARAM NAME="_cy" VALUE="502"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/13.6`4.8/12,[1]{sqrt{-1}`equal`i}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>로 정의 하고 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=57 align=absMiddle height=17><PARAM NAME="_cx" VALUE="1508"><PARAM NAME="_cy" VALUE="449"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/14.2`4.3/12,[1]{i`power`4n`equal`1}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=89 align=absMiddle height=17><PARAM NAME="_cx" VALUE="2354"><PARAM NAME="_cy" VALUE="449"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/22.3`4.3/12,[1]{i`power`(4n`plus`1)`equal`i}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=102 align=absMiddle height=17><PARAM NAME="_cx" VALUE="2698"><PARAM NAME="_cy" VALUE="449"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/25.6`4.3/12,[1]{i`power`(4n`plus`2)`equal`-1}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=100 align=absMiddle height=17><PARAM NAME="_cx" VALUE="2645"><PARAM NAME="_cy" VALUE="449"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/25.1`4.3/12,[1]{i`power`(4n`plus`3)`equal`-i}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 이잖아요. 그러면 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=40 align=absMiddle height=21><PARAM NAME="_cx" VALUE="1058"><PARAM NAME="_cy" VALUE="555"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/10.1`5.3/12,[1]{sqrt{sqrt{-1}}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>, 즉 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=18 align=absMiddle height=19><PARAM NAME="_cx" VALUE="476"><PARAM NAME="_cy" VALUE="502"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/4.4`4.8/12,[1]{sqrt{i}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>의 값은 무엇인가요? 새로운 수를 또 만들어야 하나요? 아니면 복소수만으로도 충분한가요?   예전에 저도 고민했던 문제이네요. <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=18 align=absMiddle height=19><PARAM NAME="_cx" VALUE="476"><PARAM NAME="_cy" VALUE="502"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/4.4`4.8/12,[1]{sqrt{i}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>란 제곱 하여 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=9 align=absMiddle height=18><PARAM NAME="_cx" VALUE="238"><PARAM NAME="_cy" VALUE="476"><PARAM NAME="BackColor" VALUE="7340092"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/2.3`4.3/12,[1]{i}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>가 되는 수 이므로 물론 수는 복소수이고 다음과 같이 풀수있습니다. <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=88 align=absMiddle height=28><PARAM NAME="_cx" VALUE="2328"><PARAM NAME="_cy" VALUE="740"><PARAM NAME="BackColor" VALUE="3932222"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/20.3`5.6/12,[1]{{(a`plus`bi)}^{2}`equal`i}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 위 식을 풀면 <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=102 align=absMiddle height=38><PARAM NAME="_cx" VALUE="2698"><PARAM NAME="_cy" VALUE="1005"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/22.5`8.7/12,[1]{a`equal`b`equal`+-`{sqrt{2}}/{2}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT>  즉, <OBJECT class=MATH classid=clsid:70E4BF88-2729-4A46-8794-D459BAC0EB63 width=139 align=absMiddle height=38><PARAM NAME="_cx" VALUE="3677"><PARAM NAME="_cy" VALUE="1005"><PARAM NAME="BackColor" VALUE="4063280"><PARAM NAME="Enabled" VALUE="-1"><PARAM NAME="Script" VALUE="[0]#wh4/31.6`8.7/12,[1]{+-`{sqrt{2}}/{2}(1`plus`i)`equal`+-`sqrt{i}}/{#xc333333}"><PARAM NAME="FontSize" VALUE="12"><PARAM NAME="FontColor" VALUE="3355443"><PARAM NAME="Editable" VALUE="0"><PARAM NAME="Measurable" VALUE="0"></OBJECT> 라고 말할 수 있겠습니다.</DIV>

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