#action Blog Add Blog ##Blog {{{#!blog ÀÛÀº³ª¹« 2006-11-17T02:51:32 ¿¬ºÐ¼ö ¸ÅÅ©·Î '''218~219ÂÊ''': Âü, ¿À·£¸¸¿¡ Àû¾îº¾´Ï´Ù. ¿äÁò ÅØ°øºÎ°¡ Á» ¶äÇÑ °ü°è·Î... :) ÃÖ±Ù¿¡ ¿ì¿¬È÷ ¿¬ºÐ¼ö(continued fraction)À̶ó´Â °ÍÀ» ¾Ë°ÔµÇ¾î¼­ ÅØÀ¸·Î ¸ÅÅ©·Î¸¦ ¸¸µé¾îº¸¸é Àç¹Õ°Ú´Ù ½Í¾î¼­ ÀÛ¼ºÇغýÀ´Ï´Ù. ²¿¸® Àç±Í(tail recursion)¸¦ ÀÌ¿ëÇÕ´Ï´Ù. óÀ½¿¡´Â ÀúÀÇ ºí·Î±×¿¡ Àû¾ú´Âµ¥, ±×°÷º¸´Ù´Â ¿©±â°¡ Àû´çÇÏ´Ù ½Í¾î¼­ ¿Å±é´Ï´Ù. {{{#!vim tex \newcount\m % ºÐÀÚ \newcount\n % ºÐ¸ð \newcount\t % t = m % n \newcount\s % s = m / n \def\cf#1#2{\m=#1 \n=#2 \t=\m \divide\m by\n \s=\m \multiply\m by\n \advance\t by-\m \number\s \ifnum\t>0+{\strut1\hfill\over\displaystyle\cf\n\t}\fi} \def\cfrac#1#2{{#1\over#2}=\cf{#1}{#2}} \}}} ¾Æ·¡¿Í °°ÀÌ »ç¿ëÇÕ´Ï´Ù. {{{#!vim tex $$\cfrac{421}{73}$$ $$\cfrac{103}{24}$$ \}}} {{{#!latex \newcount\m % ºÐÀÚ \newcount\n % ºÐ¸ð \newcount\t % t = m % n \newcount\s % s = m / n \def\cf#1#2{\m=#1 \n=#2 \t=\m \divide\m by\n \s=\m \multiply\m by\n \advance\t by-\m \number\s \ifnum\t>0+{\strut1\hfill\over\displaystyle\cf\n\t}\fi} \def\cfrac#1#2{{#1\over#2}=\cf{#1}{#2}} $$\cfrac{421}{73}$$ $$\cfrac{103}{24}$$ \}}} }}} {{{#!blog ÀÛÀº³ª¹« 2006-09-01T03:00:07 ¾ûÅ͸®Áö¸¸ µ¿ÀÛÇÑ´Ù '''213ÂÊ''': \expandafter 1ºÎÅÍ \n ±îÁöÀÇ ÇÕÀ» ±¸ÇÏ´Â ·çƾÀÔ´Ï´Ù. {{{#!latex $$ \sum_{k=1}^n k={n(n+1)\over2}={n^2\!+n\over2} $$ \}}} \loop...\repeat ¶Ç´Â Àç±Í¹®À» »ç¿ëÇÏÁö ¾Ê°í º¯¼ö¸¦ 1°³¸¸ »ç¿ëÇÏ´Â ·çƾÀ» ¸¸µå·Á°í Çغ¸¾Ò´Âµ¥, ¾ûÅ͸® ÄÚµåÁö¸¸ µ¿ÀÛÇÕ´Ï´Ù. ÀÌ»óÇÕ´Ï´Ù. {{{#!vim tex \newcount\n \def\square{\multiply\n\n} \def\divtwo{\divide\n2} \def\summation#1{\n=#1 \def\add{\advance\n#1} \expandafter\expandafter\expandafter\square\expandafter\add\divtwo The sum from 1 to #1 is \number\n.} \summation{97} \summation{98} \summation{99} \summation{100} \}}} °á°ú {{{#!latex \newcount\n \def\square{\multiply\n\n} \def\divtwo{\divide\n2} \def\summation#1{\n=#1 \def\add{\advance\n#1} \expandafter\expandafter\expandafter\square\expandafter\add\divtwo The sum from 1 to #1 is \number\n.} \summation{97} \summation{98} \summation{99} \summation{100} \}}} ---- expandafter¸¦ ³²¹ßÇÔÀ¸·Î½á °ñ¸Ó¸®¸¦ ½â°Ô ÇÏ°í ¹Î½ÉÀ» ÈäÈäÇÏ°Ô ÇÑ Çã¹°, °áÄÚ °¡º±´Ù ÇÒ ¼ö ¾øÀ¸¸®¶ó »ç·áµË´Ï´Ù.^^ expandafter¸¦ ½Ï °È¾î³»°í ÄÄÆÄÀÏÇØ ºÃ´õ´Ï ¾ó·¹~ °á°ú´Â µ¿ÀÏÇÏ´õ±º¿ä -.-;; -- DohyunKim [[DateTime(2006-09-01T05:12:59)]] ---- ±×·¯´Ï ÀÌ»óÇϴٴ°Š¾Æ´Õ´Ï±î...^^; À§¿¡ »ç¿ëÇÑ ¹æ½ÄÀÌ Ã¥´ë·Î¶ó¸é Àü°³ ¼ø¼­¸¦ ¿ªÀ¸·Î ÇÑ´Ù´Â °Çµ¥¿ä... ÀÌ°Å ¹¹ À߸øµÈ°Å ¾Æ´Ñ°¡¿ä? ¤¾¤¾¤¾ -- [ÀÛÀº³ª¹«] [[DateTime(2006-09-01T06:08:40)]] ---- TeXbyTopic 12.3.1À» º¸¸é °³³äÀÌ ³ª¿ÍÀÖ½À´Ï´Ù. ''One step expansion: \expandafter'' -- DohyunKim [[DateTime(2006-09-01T07:14:17)]] ---- ¾Æ... Á¦°¡ ÀÌÇØ·ÂÀÌ ¶³¾îÁ®¼­ ¾öû³­ Âø°¢À» ÇÏ°í ÀÖ´ø°Í °°½À´Ï´Ù... Àü°³(expansion) ¼ø¼­¸¸ ¹Ù²î´Â °ÍÀÌ°í, ½ÇÇàµÇ´Â ¼ø¼­´Â À¯ÁöµÇ´Â °ÍÀ̱º¿ä. ¾ðÁ¦³ª ÀÌó·³ À߸øµÈ °ÍÀ» ÁöÀûÇØÁֽðí ÇÑ ¼ö °¡¸£ÃÄÁּż­ °¨»çÇÏ°Ô »ý°¢ÇÏ°í ÀÖ½À´Ï´Ù. -- [ÀÛÀº³ª¹«] [[DateTime(2006-09-01T07:32:46)]] }}}