KTUG °Ô½ÃÆÇ ¿©±âÀú±â Èð¾îÁ® ÀÖ´ø ±ÛÀ» µµÀºÀ̾ƺü²²¼­ À̸®·Î ¿Å°Ü Á̴ּ µ¥ Áߺ¹µÈ °Í, ¹®¸ÆÀÌ ÅëÇÏÁö ¾Ê´Â °Í, ¹Ù²ï °Í µîÀÌ À־ °íÄ¡´Â ÁßÀÔ´Ï´Ù. --[Yhchoe] [[TableOfContents]] == LaTeXSymbols == [http://ftp.ktug.or.kr/mirrors/CTAN/info/symbols/comprehensive/symbols-a4.pdf symbols-a4.pdf]´Â Scott PakinÀÌ ¾´ "The Comprehensive LaTeX Symbol List"ÀÇ ÃÖ½ÅÆÇ(2005-09-22)ÀÌ´Ù. ¸¹Àº ±âÈ£µéÀ» »ç¿ë ÆÐÅ°Áö(usepackage)¿Í ÇÔ²² ¿­°ÅÇÏ¿´´Ù. Index(82-105ÂÊ)¿¡ TeX ¸í·É¾î¿Í ÇÔ²² ±âÈ£ÀÇ ±×¸²À» °çµé¾î¼­ ã±â°¡ ÆíÇÏ´Ù.[[FootNote(ÇÑ ºÎ ÀμâÇÏ¿© µÎ¸é ÁÁÀº Âü°í¼­°¡ µÈ´Ù. WinEdt¸¦ ¾²´õ¶óµµ ¾î¶² Usepackage¸¦ ½á¾ßÇÒ Áö ¸ð¸£´Â °æ¿ì°¡ ¸¹´Ù. À̶§ symbols-a4.pdf¸¦ Âü°íÇϸé ÆíÇÏ´Ù.)]] ¹Ù·Î ÀÌÀü(2003-09-29)ÀÇ ¹öÁ¯°ú ºñ±³Çϸé SymbolÀÇ °¹¼ö´Â 2826°³¿¡¼­ 3300°³·Î, Ç¥ÀÇ °¹¼ö´Â 210¿¡¼­ 225·Î, Âʼö´Â 91ÂÊ¿¡¼­ 105ÂÊÀ¸·Î ´Ã¾î³µ´Ù. »õ·Î Ãß°¡µÈ °Í Áß Æ¯±âÇÒ ¸¸ÇÑ °ÍÀº 62-63ÂÊÀÇ {{{ Table 222: phaistos Symbols from the Phaistos Disk Table 223: protosem Proto-Semitic Characters Table 224: hieroglf Hieroglyphics Table 225: dictsym Dictionary Symbols }}} ÀÇ ±×¸² ¹®ÀÚµéÀÌ´Ù. [[FootNote]] == ±âÈ£ ÀÔ·Â: °³¿ä == === ÇÔ¼ö ¹× ¿¬»êÀÚ Ç¥½Ã === Uploads:fcn2.png '''±×¸² 1:''' À̸§(function name)À¸·Î Ç¥½ÃµÇ´Â "ÇÔ¼ö ¹× ¿¬»êÀÚ" Ç¥½Ã[[FootNote(symbols-a4.pdf(2005-09-22)ÀÇ 34ÂÊ(Table 96)¿¡¼­´Â À̵é°ú deg, PrÀ» ÇÕÃÄ "Log-like Symbols"¶ó°í ÇÏ¿´½À´Ï´Ù. "atomic math objects"¶ó°í ÇÏÀÚ´Â »ç¶÷µµ ÀÖ½À´Ï´Ù. ¸¹Àº »ç¶÷µéÀº "log-like function"À̶ó°í ÇÕ´Ï´Ù. À̵éÀº ¼ö½Ä ¸ðµå¿¡¼­ \arccos, \arcsin, ..., \tanh, \dig, \Pr µîÀ¸·Î ÀÔ·ÂÇÕ´Ï´Ù. À̵é Áß det, gcd, inf, lim, liminf, limsup, max, min, Pr, sup Àº º»¹® Çü ¼ö½Ä ¸ðµå¿Í µð½ºÇ÷¹ÀÌ Çü ¼ö½Ä ¸ðµå¿¡¼­ À­Ã·ÀÚ, ¾Æ·§Ã·ÀÚÀÇ À§Ä¡°¡ ´Ù¸¨´Ï´Ù. ÀÌ·¯ÇÑ ±âÈ£¸¦ '''Variable-size Math Operator'''¶ó°í ÇÕ´Ï´Ù.)]] -- WinEdt â¿¡¼­ Tool BarÀÇ ¥Ò ´ÜÃß[[FootNote(TeX Symbols [GUI]: À§Å°ÆäÀÌÁö [TeXÆíÁý±â]¸¦ º¸¸é "TeX ÆíÁý±â°¡ °®Ãß¾î¾ß ÇÒ Á¶°Ç"ÀÇ ±â´É ºñ±³¿¡¼­ '''±âÈ£ GUI''' ´ÜÃß´Â WinEdt, AcroEdit, JEdit, EmEditor µîÀÌ °®°í ÀÖ´Ù°í ÇÏ¿´½À´Ï´Ù.)]]¸¦ ´©¸£¸é Gui Page(°ßÃâ: ÅÇ)[[FootNote(´Ù¸¥ ¹æ¹ýÀ¸·Î ÀÌ ÅÇÀ» º¸ÀÌ°Ô ÇÏ´Â ¹æ¹ýÀº ¸Þ´º¿Í ´ÜÃßµéÀÌ Àִ ȸ»ö ¹ÙÅÁ¿¡ Ä¿¼­(È­»ìÇ¥)¸¦ µÎ°í ¿À¸¥ ¸¶¿ì½º¸¦ Ŭ¸¯Çϸé À§ÀÇ ±×¸²Ã³·³ Pop-up ¸Þ´º°¡ ³ªÅ¸³ª´Âµ¥ ¿©±â¼­ ¸Ç ¾Æ·¡¿¡ ÀÖ´Â "Show Gui Page Control"À» ´©¸£¸é µË´Ï´Ù.)]]µéÀÌ ³ªÅ¸³³´Ï´Ù. ¸¹Àº ÅÇ Áß °¡·É "`Functions(x) ...`" ÅÇÀ» ´©¸£¸é À§ ±×¸²°ú °°ÀÌ 30°³ÀÇ '''ÇÔ¼ö'''(function) ¹× '''¿¬»êÀÚ'''(operator)[[FootNote(¿©±â¼­ "¿¬»êÀÚ"¶ó°í ÇÑ °ÍÀº ´ëÇѼöÇÐȸÀÇ "¼öÇпë¾îÁý"À» µû¸¥ °ÍÀÔ´Ï´Ù. "ÇÔ¼ö"¿Í "¿¬»êÀÚ"´Â °ÅÀÇ °°Àº °³³äÀÔ´Ï´Ù. "ÇÔ¼ö"´Â ¾î¶² º¯¼ö¿¡ ÀÛ¿ëÇÏ¿© ±× °ªÀ» ºÎ¿©ÇÏ´Â ±â´É(function)ÀÌ°í, "¿¬»êÀÚ"´Â ¾î¶² ÁýÇÕ(¸ðÀÓ) ¶Ç´Â ÇÔ¼ö¿¡ ÀÛ¿ë(operation)ÇÏ¿© ±× °ªÀ» ºÎ¿©Çϰųª ¶Ç ´Ù¸¥ ÇÔ¼ö¸¦ ºÎ¿©ÇÏ´Â ±â´ÉÀ» ¸»ÇÕ´Ï´Ù. °£È¤ "¿¬»êÀÚ"´Â µÎ °³ÀÇ ´ë»ó »çÀÌ¿¡ ÀÛ¿ëÇÏ¿© »õ·Î¿î °ªÀ» ³ªÅ¸³»´Â ±â´ÉÀÎ '''ÀÌÇ× ¿¬»ê'''(binary opreation: µ¡¼À, »¬¼À, °ö¼À, ³ª´°¼À °°Àº °Í)°ú È¥µ¿ÇÏ´Â ¼öµµ ÀÖ½À´Ï´Ù. ±×·¡¼­ ±×³É "¿¬»êÀÚ"¸¦ '''ÀÛ¿ë¼Ò'''·Î ¾²ÀÚ´Â ºÐµµ ÀÖ½À´Ï´Ù. ¶Ç "ÀÌÇ× ¿¬»ê" ±âÈ£´Â "ÀÌÇ× °ü°è"(binary relation: µîÈ£, ºÎµîÈ£, Æ÷ÇÔ °ü°è µî)ÀÇ ±âÈ£¿Í È¥µ¿ÇÏ´Â °æ¿ì°¡ ÀÖ½À´Ï´Ù. ¹®Á¦´Â ¼ö½Ä ¸ðµå¿¡¼­ À̵鿡 ÁÖ¾îÁø °£°ÝÀÌ Á¶±Ý¾¿ ´Ù¸£°Ô Á¶Á¤µÈ´Ù´Â µ¥ ÀÖ½À´Ï´Ù. È¥µ¿À» ÇÇÇϱâ À§Çؼ­´Â "¿¬»êÀÚ", "ÀÌÇ× ¿¬»ê", "ÀÌÇ× °ü°è" µîÀ» ²À ±¸º°ÇÏ¿© ½á¾ß ÇÕ´Ï´Ù. ¾Æ·¡ "ÀÌÇ× ¿¬»ê ¹× ÀÌÇ× °ü°è Ç¥½ÃÀÇ °£°Ý" ÂüÁ¶)]] Ç¥½ÃµéÀÌ ³ªÅ¸³³´Ï´Ù. "ÇÔ¼ö"¿Í "¿¬»êÀÚ" Ç¥½ÃµéÀº ¼ö½Ä ¸ðµå¿¡¼­ ±×³É \arccos, \arcsin, ..., \tanh µîÀ¸·Î ¸í·É¾îµéÀ» ÀÔ·ÂÇÏ¸é °£°Ý°ú ±Û²ÃÀÌ º¯¼ö¿Í ±¸º°µÇ¾î Ç¥±âµÇµµ·Ï ¼³Á¤µÇ¾î ÀÖ½À´Ï´Ù. ÀÌ¹Ì Á¤ÀǵÇÁö ¾ÊÀº "ÇÔ¼ö"³ª "¿¬»êÀÚ"¸¦ Ç¥½Ã(¿¹: ´ë°¢ Çà·ÄÀ» ³ªÅ¸³»´Â '''diag''')¸¦ ¼ö½Ä ¸ðµå¿¡¼­¾²°í ½ÍÀ¸¸é \mathrm{diag} ¸¦ ÀÔ·ÂÇÏ¸é µË´Ï´Ù. ±×·¯³ª ÀÌ°ÍÀ» ¿©·¯ ¹ø µÇÇ®ÀÌÇÏ¿© ¾µ »ý°¢ÀÌ¸é ¾Æ¿¹ ÇÁ¸®¾Úºí¿¡¼­ {{| \newcommand{\diag}{\mathop{\mathrm{diag}}} |}} ¶Ç´Â {{| \newcommand{\diag}{\mathop{\mathrm{diag}}\nolimits} |}} ó·³ »õ·Î Á¤ÀÇÇÏ¿© ¾²°Å³ª, '''DeclareMathOperator'''¸¦ ½á¼­ Á¤ÀÇÇÏ¿© ¾²¸é Æí¸®ÇÕ´Ï´Ù. -> [http://ftp.ktug.or.kr/mirrors/CTAN/info/symbols/comprehensive/symbols-a4.pdf symbols-a4.pdf]ÀÇ ¡×7.3 Math-mode spacing (74-75ÂÊ) \mathop, \newcommand, {{{\DeclareMathOperator}}}, {{{\DeclareMathOperator*}}} µîÀ» ¾²¼­ À̸¥¹Ù "log-like function"À» Á¤ÀÇÇÏ´Â ¹æ¹ýÀº ¾Æ·¡ÀÇ ¼ÒÇ׸ñ "Variable-sized Math Opreator" ¶Ç´Â [DeclareMathOperator] ¶Ç´Â http://www.tex.ac.uk/cgi-bin/texfaq2html?label=newfunction ÂüÁ¶. [[FootNote]] ==== Variable-sized Math Opreator ==== ¾Æ·¡ ¼ÒÇ׸ñ "¼ö½Ä ±Û²Ã"ÀÇ '''±×¸² 10'''¿¡´Â "Math" ÅÇÀÌ ¿­·Á ÀÖ½À´Ï´Ù. ÀÌ Áß ±½Á÷ÇÏ°Ô µÇ¾î ÀÖ´Â ±âÈ£µéÀº ¸ðµÎ displaymath ¸ðµå¿¡¼­ ¾Æ·¡Ã·ÀÚ´Â ±âÈ£ ¹Ù·Î ¹Ø¿¡ ³õÀÌ°Ô ÇÏ°í, À§Ã·ÀÚ´Â ¹Ù·Î À§¿¡ ³õÀÌ°Ô ÇÕ´Ï´Ù. ÀÌ·± ±âÈ£¸¦ "Variable-size Math Opreator"¶ó°í ÇÕ´Ï´Ù. ÀÌ¹Ì ¸¹Àº ±âÈ£µéÀÌ "Variable-size Math Opreators"·Î Á¤ÀǵǾî ÀÖÀ¸´Ï ¾Ë¾ÆµÎ¸é Æí¸®ÇÕ´Ï´Ù. symbols-a4.pdfÀÇ 21-25ÂÊÀÇ {{{ "Table 47: Variable-sized Math Operators" (¾Æ·¡ ±×¸² 9¿¡ ³ªÅ¸³­ Å« ±âÈ£µé 14°³) "Table 48: AmS Variable-sized Math Operators" "Table 49: stmaryrd Variable-sized Math Operators" "Table 50: wasysym Variable-sized Math Operators" "Table 51: mathabx Variable-sized Math Operators" "Table 52: txfonts/pxfonts Variable-sized Math Operators" "Table 53: esint Variable-sized Math Operators" }}} ¼Ó¿¡ µé¾î ÀÖ´Â ±âÈ£µéÀº ¸ðµÎ "Variable-size Math Operator"µéÀÔ´Ï´Ù. ¾ÕÂÊÀÇ ¼ö½Ä¾î stmaryrd, wasysym, txfonts, pxfonts, esint µîÀº ÇÁ¸®¾Úºí¾Ö ³Ö¾î¾ß ÇÒ ÆÐÅ°Áö¸¦ ³ªÅ¸³À´Ï´Ù. ´Ù¸¸ {{{AmS}}}´Â amssymb¸¦ ³Ö¾î¾ß ÇÕ´Ï´Ù. ÁÖÀÇ: stmaryrd, wasysym, mathabx, txfonts, pxfontsÀ» ¾µ ¶§´Â usepackage¿¡ ÇØ´ç ½ºÅ¸ÀÏÀ» ³Ö¾î¾ß ÇÏ´Â µ¥ ´Ù¸¥ ÆÐÅ°Áö¿Í Ãæµ¹À» ÀÏÀ¸Å³ ¼öµµ ÀÖ½À´Ï´Ù. ±×¸®°í ÀûºÐ ±âÈ£ `\int\limits_{x=0}^{x=1}` ó·³ ¸í·É¾î ¹Ù·Î ´ÙÀ½¿¡ `\limits`¸¦ ³Ö¾î¾ß ±âÈ£ÀÇ ¹Ù·Î ¾Æ·¡¿Í ¹Ù·Î À§¿¡ ÷ÀÚ°¡ ºÙ´Â °Íµµ ÀÖ½À´Ï´Ù. ¶Ç {{| \det \gcd \inf \lim \liminf \limsup \max \min \Pr \sup |}} µîÀÇ ¸í·É¾î·Î ÀԷµǴ ¿¬»êÀÚ´Â Variable-size Math OperatorµéÀÔ´Ï´Ù. ±×¸®°í "Table 97: {{{AmS}}} Log-like Symbols"(34ÂÊ)¿¡ ³ªÅ¸³ª´Â ´ÙÀ½ ¸í·É¾îµµ ¸¶Âù°¡ÁöÀÔ´Ï´Ù. {{| \injlim, \varinjlim, \varlimsup, \varliminf, \projlim, \varprojlim |}} === ÀÌÇ× ¿¬»ê ¹× ÀÌÇ× °ü°è Ç¥½ÃÀÇ °£°Ý === '''Âü°í:''' KTUGBoard:5174'''''', http://www.tug.org/TUGboat/Articles/tb18-1/tb54becc.pdf Mittelbach°¡ ¾´ `TLC2`(The [LaTeXCompanion], 2nd ed.)ÀÇ 528ÂÊÀÇ À§ÂÊ¿¡ {{| Table 8.11: Symbols of class \mathord (miscellaneous) |}} °¡ ÀÖ°í ±× ¾Æ·¡¿¡ {{| A common mistake is to use the symbols from Table 8.11 directly as Binary operator or Relation symbols, without using a properly defined math symbol command for that type. Thus, if you use commands such as \#, \square, or \&, check carefully that you get the correct inter-symbol spaces or, even better, define your own symbol command. |}} ¶ó ÇÏ°í ¹Ù·Î ¿¹Á¦ 8-9-4¸¦ ¿Ã·Á µÎ¾ú½À´Ï´Ù. ´ÙÀ½Àº ÀÌ ¿¹Á¦ÀÇ »É 8-9-4.ltx ¸¦ ÀÌ¿ëÇÏ¿© ¸¸µç °ÍÀÔ´Ï´Ù. attachment:8-9-4_example.jpg '''±×¸² 2:''' »õ ÀÌÇ× ¿¬»ê ¹× ÀÌÇ× °ü°è ±âÈ£ÀÇ Á¤ÀÇ ==== ÀÌÇ× ¿¬»ê (Binary Operator) ==== attachment:binary_op1.jpg '''±×¸² 3:''' ÀÌÇ× ¿¬»ê ±âÈ£ ==== ÀÌÇ× °ü°è (Binary Relation) ==== symbols-a4.pdf(2005-09-22)ÀÇ 25-30ÂÊ¿¡ ¸¹Àº ÀÌÇ× °ü°è ±âÈ£°¡ ÀÖ´Ù. attachment:ams_binary_re2.jpg '''±×¸² 4:''' ÀÌÇ× °ü°è ±âÈ£ === smallmatrix, ºÐ¼ö Ç¥½Ã, Á¶ÇÕ Ç¥½Ã(2 X 1 Çà·Ä), º¹È£(Ý¥ûÜ) === ÀÌ °÷¿¡ ÀÖ´ø smallmatrix, ºÐ¼ö Ç¥½Ã, Á¶ÇÕ Ç¥½Ã(2 X 1 Çà·Ä), º¹È£(Ý¥ûÜ) µîÀº [WinEdtTip/¼ö½ÄÆíÁý]À¸·Î ¿Å±é´Ï´Ù. === nÁ¦°ö±Ù === ¾Æ·¡ "¼ö½Ä±Û²Ã"¿¡ ÷ºÎµÈ '''±×¸² 9'''¸¦ º¸¸é "nÁ¦°ö±Ù abc" ´ÜÃß°¡ ÀÖ½À´Ï´Ù. ÀÌ°ÍÀ» ´©¸£¸é {{| \sqrt[n]{} |}} ¿Í °°ÀÌ ÀԷµ˴ϴÙ. ¿©±â¼­ nÀ» 3À¸·Î ¹Ù²Ù¸é 3Á¦°ö±ÙÀÇ ±âÈ£°¡ µË´Ï´Ù. Ȱ¯¹­À½ {} ¼Ó¿¡ ÇÊ¿äÇÑ °Í(¿¹: a^3+b^3 µî)À» ³ÖÀ¸¸é µË´Ï´Ù. Á¦°ö±ÙÀº ±× ¿·ÀÇ ´ÜÃ߸¦ ´©¸£¸é \sqrt{}°¡ ÀԷµ˴ϴÙ. === ¿©·¯ °¡Áö È­»ìÇ¥ === Uploads:arrows.jpg '''±×¸² 5:''' WinEdtÀÇ Gui Pageµé Áß "---> ..."·Î Ç¥½ÃµÈ °ßÃâÀ» Ŭ¸¯ÇÏ¸é ±×¸²°ú °°ÀÌ ³ªÅ¸³³´Ï´Ù. symbols-a4.pdfÀÇ 31-33ÂÊ¿¡ ÀÖ´Â ¿©·¯ °¡Áö È­»ìÇ¥ Áß¿¡¼­ ÀÚÁÖ ¾²ÀÓÁ÷ÇÑ °ÍÀ» GUI ´ÜÃß·Î ¸¸µé¾î µÐ °ÍÀÔ´Ï´Ù. '''Q1:''' ¹®Àå Áß¿¡¼­ ¼ö½Ä rightarrowÀÇ ±æÀ̸¦ ÁÙÀÌ°í ½ÍÀºµ¥ °¡´ÉÇմϱî? ±ÞÇؼ­ ±×·´´Ï´Ù. ¹æ¹ýÀÌ ÀÖ´Ù¸é ¾Ë·ÁÁÖ¼¼¿ä. '''A:''' symbols-a4.pdfÀÇ 32ÂÊ {{| Table 85: stmaryrd Arrows |}} ¿¡ \rightarrow º¸´Ù ªÀº \shortrightarrow°¡ ÀÖ½À´Ï´Ù. ¹®Àå Áß¿¡´Â $\shortrightarrow$·Î ¾²¸é µË´Ï´Ù. ±×·±µ¥ ÀÌ ¸í·É¾î¸¦ ¾µ·Á¸é Preamble¿¡ {{| \usepackage{stmaryrd} |}} ¸¦ ½á¾ß ÇÕ´Ï´Ù. '''Q2:''' (From KTUGOperate:13586'''''') rightharpoonupÀ» »ç¿ëÇϸé ªÀº È­»ìÇ¥¸¸ Ç¥½Ã°¡ µÇ´Âµ¥¿ä... 1) xrightarrow¿¡¼­ »ç¿ëÇÏ´Â ¹æ¹ýó·³ ±æÀ̸¦ Á» ´õ ±æ°Ô Ç¥½ÃÇÒ ¼ö ÀÖ´Â ¹æ¹ýÀº ¾ø³ª¿ä? 2) rightharpoonupÀ§¿¡ *¸¦ Ç¥½ÃÇÏ¿©¼­ ±æ°Ô ÇÏ°í ½ÍÀºµ¥¿ä ¹æ¹ýÀº ¾øÀ»±î¿ä? '''A:''' [http://ftp.ktug.or.kr/mirrors/CTAN/info/symbols/comprehensive/symbols-a4.pdf symbols-a4.pdf]ÀÇ 41ÂÊ {{| Table 130: empheq Extensible Accents |}} ¿¡ ³ª¿Â \xrightharpoonup{}À» ¾²¸é µË´Ï´Ù. ´ÙÀ½À» ÄÄÆÄÀÏÇÏ¿© º¸¼¼¿ä. {{{ \documentclass{article} \usepackage{empheq} \begin{document} $\xrightharpoonup{\qquad_*\qquad}$ \end{document} }}} ==== Commutative Diagram (CD) ==== http://ktug.kldp.org/jsboard/data/operate/files/20030523100033/cd.jpg '''±×¸² 5-1:''' Commutative Diagram '''Q3-1:''' (From KTUGOperate:5343'''''') ¸Å´º¾óÀ» ã¾Æµµ Á»Ã³·³ ´ÙÀ½°ú °°Àº Ç¥ÇöÀ» ³ªÅ¸³»±â°¡ Èûµå³×¿ä. {{{ n-1 1 0 Mn = ----> ... ----> ... ---> M0 }}} ¿©±â¿¡¼­, ±ä È­»ìÇ¥ À§¿¡ ¹®ÀÚ¸¦ ³Ö´Â ¹æ¹ýÀ» ¾Ë°í ½Í½À´Ï´Ù. \frac{ }{ }À» »ç¿ëÇϸé Áß°£¿¡ --- ÀÌ·± °ÍÀÌ µé¾î°¡°í, \overrightarrow¸¦ »ç¿ëÇϸé vector Ç¥Çöó·³ º¸ÀÔ´Ï´Ù. 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Daly °¡ ¾´ {{{A GUIDE TO LaTeX, Third Edition, Addison Wesley, 1999, 135ÂÊ}}}ÀÇ "5.3.5 Stacked symbols" ÂüÁ¶). ´ÙÀ½À» ÄÄÆÄÀÏÇϸé óÀ½ µÎ ¹æ¹ýÀº "r->0"ÀÌ È­»ìÇ¥ÀÇ À­ÂÊ¿¡ ³ªÅ¸³ª°í ¼Â°´Â ¾Æ·§ÂÊ¿¡ ³ªÅ¸³³´Ï´Ù. {{{ \documentclass{article}% \usepackage{amsmath} \begin{document} $$A \stackrel{r \to 0}{\longrightarrow } 0$$ $$A \xrightarrow{r \rightarrow 0} 0 $$ $$A \xrightarrow[r \rightarrow 0]{} 0 $$%{}¸¦ ³Ö¾î¾ß 0°¡ È­»ìÇ¥ ³¡¿¡ ³ªÅ¸³² \end{document} }}} '''Q4:''' (From KTUGOperate:17235'''''') ´ë°³ È­»ìÇ¥´Â \longrightarrow ³ª \to ¶Ç´Â \mapsto µîÀ¸·Î È­»ìÇ¥¸¦ ±×¸®°Å³ª \nearrow µîÀ¸·Î ¾à°£ ºñ½ºµëÇÑ È­»ìÇ¥¸¦ ±×¸®±âµµ Çϴµ¥ ÀúÀÇ °æ¿ì¿¡ ¼ö½Ä°ú ¼ö½Ä »çÀÌ¿¡ ´ë°¢¼± ¹æÇâÀÇ ±ä È­»ìÇ¥¸¦ ±×¸± ÇÊ¿ä°¡ ÀÖ±º¿ä. ÀÌ °æ¿ì¿¡´Â ¾î¶»°Ô ÇØ¾ß Çϳª¿ä? ±×¸®°í È­»ìÇ¥ÀÇ ±â¿ï±â¸¦ Á¶ÀýÇÒ ÇÊ¿ä°¡ ÀÖ´Â °æ¿ìµµ °¡´ÉÇÑÁö¿ä? '''A:''' '''XY-pic'''À» »ç¿ëÇÏ´Â ¹æ¹ýÀÌ ÀÖ½À´Ï´Ù. 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BÀÇ ±Û¾¾¸¦ scriptsize·Î ÇÏ·Á¸é ½ºÅ¸ÀÏ ¿É¼Ç Smaller¸¦ ½á¾ß ÇÕ´Ï´Ù. ´ÙÀ½À» ÄÄÆÄÀÏÇÏ¿© º¸¼¼¿ä. {{{ %------ \documentclass{article}% \usepackage[Smaller]{cancel}%¿É¼Ç thicklinesÀ» ¾²¸é »ó¼â Ç¥½Ã°¡ ÁøÇÏ°Ô µÊ %¿É¼Ç SmallerÀ» ¾²¸é \cancelto{B}{A}ÀÇ BÀÇ ±Û¾¾°¡ scriptsize°¡ µÊ \begin{document} \begin{equation}\label{1} a \hskip-5pt / + b -a \hskip-5pt / = b \end{equation} \begin{equation}\label{2} \cancel{(a-b)^2} + b\ \cancel{-(a^2-2ab+b^2)} = b \end{equation} \begin{equation}\label{3} \bcancel{(a-b)^2} + b\ \bcancel{-(a^2-2ab+b^2)} = b \end{equation} \begin{equation}\label{4} \xcancel{(a-b)^2} + b\ \xcancel{-(a^2-2ab+b^2)} = b \end{equation} \begin{equation}\label{5} b + \cancelto{(a-b)^2}{(a^2-2ab+b^2)} = b + (a-b)^2 \end{equation} \end{document} }}} '''Q5:''' I know how to write like this. {{{ 5 16 2 -- X -- = -- 8 15 3 }}} But I want to describe the process of dividing out common factors from the numerators and denominators. For example, there should be '1' above 5 and '3' below 15, and so on. How do I cross out the letters and write a little numbers above or below the numerators and denominators.. '''A:''' ÀÌ °æ¿ì `\newcommand`³ª `\DeclareMathOperator`¸¦ ½á¼­ `Operator`¸¦ Á¤ÀÇÇÏ¿© ¾²´Â ¹æ¹ýµµ ÀÖÀ¸³ª ¼ö½Ä ¸ðµå¿¡¼­ ÇÑ µÎ¹ø¸¸ ¾µ °ÍÀº ¾Æ·¡ '''¿¹2'''ó·³ ¸í·É¾î `\mathop`¸¦ ÇÊ¿äÇÒ ¶§¸¶´Ù ¾²´Â ¹æ¹ýÀÌ ÆíÇÕ´Ï´Ù. '''¿¹2:''' Uploads:mathOp.png '''±×¸² 6-1:''' {{{ \documentclass[12pt]{article} \usepackage{cancel} \usepackage{amsmath} \begin{document} \[ \frac{\,\mathop{\cancel{5}}\limits^{1}\,}{\,\mathop{\cancel{8}}\limits_{1}\,} \times \frac{\,\mathop{\cancel{16}}\limits^{2}\,}{\,\mathop{\cancel{15}}\limits_{3}\,} =\frac{2}{3} \] $$ {\mathop{\cancel{5}}^{1}}\quad ... \quad {\mathop{\cancel{15}}_{3}} $$ \end{document} }}} == º»¹® ±Û²Ã == Uploads:Typeface2.jpg '''±×¸² 7:''' ¿©±â ÀÖ´Â ±ÛÀÚü Áß º¼µåü, ÀÌÅŸ¯Ã¼, ŸÀÌÇÁü´Â Tool Bar¿¡µµ ´ÜÃß°¡ ÀÖ½À´Ï´Ù. 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À§Å°ÆäÀÌÁö WinEdtÀÇ Ç׸ñ "Charset(±ÛÀÚ ¼Â)ÀÇ ¼±ÅÃ" ÂüÁ¶)]]´Â TeX ¹®¼­¿¡ ¹Ù·Î ³ÖÀ» ¼ö[[FootNote(ÀÌ·± ±ÛÀÚµéÀ» TeX ¹®¼­¿¡ ¹Ù·Î ³Ö°í WinEdt â¿¡ ³ªÅ¸³ª°Ô ÇÏ·Á¸é À§Å°ÆäÀÌÁö WinEdtÀÇ Ç׸ñ "Charset(±ÛÀÚ ¼Â)ÀÇ ¼±ÅÃ"¸¦ ÂüÁ¶ÇϽʽÿä.)]]µµ ÀÖÀ¸³ª WinEdt¸¦ ±ò°í "±ÛÀÚ ¼Â"À» ¹Ù²ÙÁö ¾Ê¾Ò´Ù¸é "Default(Window) Charset"¿¡ ¸ÂÃß¾îÁ® Àֱ⠶§¹®¿¡ "È®Àå ¶óƾ¾î" ±ÛÀÚ¸¦ ¹Ù·Î ÀÔ·ÂÇϸé ?·Î Ç¥½ÃµË´Ï´Ù. ±×·¡¼­ "È®Àå ¶óƾ¾î" ±ÛÀÚ¸¦ ¸¹ÀÌ ¾²Áö ¾Ê´Â °æ¿ì WinEdt¿¡¼­´Â ÇØ´ç ·Î¸¶ÀÚ¿¡ Accent¸í·É¾î¸¦ µ¡¾º¿ì´Â ¹æ¹ýÀÌ ÆíÇÕ´Ï´Ù. °¡·É µ¶ÀϾî "A ¿ì¹«¶ó¿ìÆ®"´Â \"{A}·Î ÀÔ·ÂÇÕ´Ï´Ù. ÇÑÆí ½ºÄ­µð³ªºñ¾Æ ±ÛÀÚ ¨ª ´Â {\O}·Î ÀÔ·ÂÇÕ´Ï´Ù. WinEdtÀÇ GUI Pageµé Áß "International" °ßÃâÀ» Ŭ¸¯Çϸé À§ÀÇ ±×¸²°ú °°ÀÌ ³ªÅ¸³³´Ï´Ù. º¸ÅëÀÇ ·Î¸¶ÀÚ¸¦ ÀÔ·ÂÇÑ ÈÄ À½¿î ±âÈ£(Text-mode Accents)¸¦ ºÙÀÌ°í ½ÍÀº ·Î¸¶ÀÚ¸¦ ¼±ÅÃÇÑ ÈÄ ÇØ´ç ´ÜÃ߸¦ Ŭ¸¯ÇÏ¸é ·Î¸¶ÀÚ¿¡ ÇØ´ç ¸í·É¾î¸¦ µ¡¾º¿ó´Ï´Ù. ¾Æ´Ï¸é ¸ÕÀú µ¡¾º¿ì±â ¸í·É¾î \"{} µîÀ» ÀÔ·ÂÇÏ°í ¹­À½Ç¥ {}¿¡ ÇØ´ç ·Î¸¶ÀÚ¸¦ ³ÖÀ¸¸é µË´Ï´Ù. µ¶ÀÏ¾î ±ÛÀÚ ©¬ ´Â ¹Ù·Î {\ss}·Î ÀÔ·ÂÇÕ´Ï´Ù(±×¸² ÂüÁ¶). À§ ±×¸²("International" GUI Page)¿¡¼­ ¼±ÅÃÇÒ ¼ö ÀÖ´Â µ¡¾º¿ì±â ¸í·É¾î ¿Ü¿¡µµ [http://ftp.ktug.or.kr/mirrors/CTAN/info/symbols/comprehensive/symbols-a4.pdf symbols-a4.pdf]ÀÇ 12-15ÂÊ¿¡ {{{ Table 18: Text-mode Accents Table 19: tipa Text-mode Accents Table 20: extraipa Text-mode Accents Table 21: wsuipa Text-mode Accents Table 22: phonetic Text-mode Accents Table 23: metre Text-mode Accents Table 24: t4phonet Text-mode Accents Table 25: arcs Text-mode Accents }}} µî ¸¹Àº "Text-mode Accent"µéÀÌ ÀÖ½À´Ï´Ù. ¸¶Ä§ International" GUI Page¸¦ ¿­¾î ³õ°í º¸´Ï À¯·ÎÈ­ Ç¥½Ãµµ Àֳ׿ä. À̰͵µ ¹Ù·Î ¸í·É¾î {\euro}°¡ ÀԷµ˴ϴÙ. \usepackage{eurosym}¸¦ ÇÁ¸®¾Úºí¿¡ ³Ö¾î¾ß ÇÕ´Ï´Ù. [[FootNote]] === Phonetic Symbols === http://www.ktug.or.kr/jsboard/data/operate/files/20060904094008/phonetic.jpg '''±×¸² 8-1:''' symbols-a4.pdfÀÇ 10 ÂÊ '''Q1'''(From KTUGOperate:18771'''''')''':''' ¾È³çÇϼ¼¿ä? Á¦°¡ winedtÀ¸·Î ÀÛ¾÷ÁßÀε¥... ¹ßÀ½±âÈ£¸¦ ¾î¶»°Ô Ç¥½ÃÇÏ´ÂÁö.. °¡¸£ÃÄ Áֽøé Á¤¸» °¨»çÇÏ°Ú½À´Ï´Ù. 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ÀÌ ¶§´Â ÇÑ ÂÊÀ» ¼±ÅÃÇÏ°í, "F12" Å°¸¦ ´©¸£¸é ¹­À½Ç¥ÀÇ ¿µ¿ªÀ» ã¾Æ ÁÝ´Ï´Ù. (cf. KTUGContrib:478''''''ÀÇ Ç׸ñ `[Delimiters(¦ ã±â) ±â´É]`) === È£(¡Ò), À§¾Æ·¡ ¹­À½Ç¥ === È£(AB), È£(ABC) µî ¹®ÀÚ¿­ À§¿¡ ¿øÈ£(¡Ò)¸¦ ³Ö´Â ¹æ¹ýÀº symbols-a4.pdfÀÇ 40ÂÊ "Table 128: yhmath Extensible Accents"¿¡ ÀÖ½À´Ï´Ù. Preamble¿¡ {{| \usepackage{yhmath} |}} ¸¦ ÀÔ·ÂÇÏ°í º»¹® ¼Ó¿¡¼­ `$\wideparen{AB}$`¸¦ ½á º¸¼¼¿ä. ÇÑÆí 70ÂÊÀÇ "Table 228: Manually Composed Extensible Accents"¿¡´Â ¼ÕÅé ¹­À½Ç¥ (), ²ª¼è ¹­À½Ç¥ `[]`¸¦ ¾Æ·¡À§·Î ³Ö´Â ¹æ¹ýÀÌ ÀÖ½À´Ï´Ù. 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