"기저와 선형결합"의 두 판 사이의 차이
Pythagoras0 (토론 | 기여) |
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1번째 줄: | 1번째 줄: | ||
− | + | ==개요== | |
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− | + | ==예== | |
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<math>v_{1}=(1, 0)</math> | <math>v_{1}=(1, 0)</math> | ||
21번째 줄: | 13번째 줄: | ||
<math>v_{2}=(-\sqrt{3}/2, 1/2)</math> | <math>v_{2}=(-\sqrt{3}/2, 1/2)</math> | ||
− | + | $$ | |
+ | \begin{array}{|rcl|} | ||
+ | \hline | ||
+ | \{1,0\} & = & v_1 \\ | ||
+ | \hline | ||
+ | \left\{\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & \sqrt{3} v_1+v_2 \\ | ||
+ | \hline | ||
+ | \left\{\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & 2 v_1+\sqrt{3} v_2 \\ | ||
+ | \hline | ||
+ | \{0,1\} & = & \sqrt{3} v_1+2 v_2 \\ | ||
+ | \hline | ||
+ | \left\{-\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & v_1+\sqrt{3} v_2 \\ | ||
+ | \hline | ||
+ | \left\{-\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & v_2 \\ | ||
+ | \hline | ||
+ | \{-1,0\} & = & -v_1 \\ | ||
+ | \hline | ||
+ | \left\{-\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -\sqrt{3} v_1-v_2 \\ | ||
+ | \hline | ||
+ | \left\{-\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -2 v_1-\sqrt{3} v_2 \\ | ||
+ | \hline | ||
+ | \{0,-1\} & = & -\sqrt{3} v_1-2 v_2 \\ | ||
+ | \hline | ||
+ | \left\{\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -v_1-\sqrt{3} v_2 \\ | ||
+ | \hline | ||
+ | \left\{\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -v_2 \\ | ||
+ | \hline | ||
+ | \end{array} | ||
+ | $$ | ||
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− | + | ==역사== | |
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* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
* [[수학사연표 (역사)|수학사연표]] | * [[수학사연표 (역사)|수학사연표]] | ||
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− | + | ==메모== | |
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* Math Overflow http://mathoverflow.net/search?q= | * Math Overflow http://mathoverflow.net/search?q= | ||
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− | + | ==관련된 항목들== | |
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− | + | ==수학용어번역== | |
* 단어사전<br> | * 단어사전<br> | ||
** http://translate.google.com/#en|ko| | ** http://translate.google.com/#en|ko| | ||
** http://ko.wiktionary.org/wiki/ | ** http://ko.wiktionary.org/wiki/ | ||
− | * | + | * 발음사전 http://www.forvo.com/search/ |
* [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br> | * [http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=&fstr= 대한수학회 수학 학술 용어집]<br> | ||
** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr= | ** http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr= | ||
* [http://www.kss.or.kr/pds/sec/dic.aspx 한국통계학회 통계학 용어 온라인 대조표] | * [http://www.kss.or.kr/pds/sec/dic.aspx 한국통계학회 통계학 용어 온라인 대조표] | ||
* [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교] | * [http://www.nktech.net/science/term/term_l.jsp?l_mode=cate&s_code_cd=MA 남·북한수학용어비교] | ||
− | * [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 | + | * [http://kms.or.kr/home/kor/board/bulletin_list_subject.asp?bulletinid=%7BD6048897-56F9-43D7-8BB6-50B362D1243A%7D&boardname=%BC%F6%C7%D0%BF%EB%BE%EE%C5%E4%B7%D0%B9%E6&globalmenu=7&localmenu=4 대한수학회 수학용어한글화 게시판] |
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− | + | ==매스매티카 파일 및 계산 리소스== | |
* https://docs.google.com/file/d/0B8XXo8Tve1cxZi1vYlpSZTVoRjQ/edit | * https://docs.google.com/file/d/0B8XXo8Tve1cxZi1vYlpSZTVoRjQ/edit | ||
86번째 줄: | 97번째 줄: | ||
* [http://numbers.computation.free.fr/Constants/constants.html Numbers, constants and computation] | * [http://numbers.computation.free.fr/Constants/constants.html Numbers, constants and computation] | ||
* [https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw 매스매티카 파일 목록] | * [https://docs.google.com/open?id=0B8XXo8Tve1cxMWI0NzNjYWUtNmIwZi00YzhkLTkzNzQtMDMwYmVmYmIxNmIw 매스매티카 파일 목록] | ||
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2012년 10월 21일 (일) 15:39 판
개요
예
\(v_{1}=(1, 0)\)
\(v_{2}=(-\sqrt{3}/2, 1/2)\)
$$ \begin{array}{|rcl|} \hline \{1,0\} & = & v_1 \\ \hline \left\{\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & \sqrt{3} v_1+v_2 \\ \hline \left\{\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & 2 v_1+\sqrt{3} v_2 \\ \hline \{0,1\} & = & \sqrt{3} v_1+2 v_2 \\ \hline \left\{-\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & v_1+\sqrt{3} v_2 \\ \hline \left\{-\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & v_2 \\ \hline \{-1,0\} & = & -v_1 \\ \hline \left\{-\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -\sqrt{3} v_1-v_2 \\ \hline \left\{-\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -2 v_1-\sqrt{3} v_2 \\ \hline \{0,-1\} & = & -\sqrt{3} v_1-2 v_2 \\ \hline \left\{\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -v_1-\sqrt{3} v_2 \\ \hline \left\{\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -v_2 \\ \hline \end{array} $$
역사
메모
- Math Overflow http://mathoverflow.net/search?q=
관련된 항목들
수학용어번역
- 단어사전
- 발음사전 http://www.forvo.com/search/
- 대한수학회 수학 학술 용어집
- 한국통계학회 통계학 용어 온라인 대조표
- 남·북한수학용어비교
- 대한수학회 수학용어한글화 게시판
매스매티카 파일 및 계산 리소스
- https://docs.google.com/file/d/0B8XXo8Tve1cxZi1vYlpSZTVoRjQ/edit
- http://www.wolframalpha.com/input/?i=
- http://functions.wolfram.com/
- NIST Digital Library of Mathematical Functions
- Abramowitz and Stegun Handbook of mathematical functions
- The On-Line Encyclopedia of Integer Sequences
- Numbers, constants and computation
- 매스매티카 파일 목록