"기저와 선형결합"의 두 판 사이의 차이
| 22번째 줄: | 22번째 줄: | ||
<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}</math> | <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}</math> | ||
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| + | <math>\begin{array}{|rcl|} \hline (1,0) & = & v_1 \ \hline (\frac{\sqrt{3}}{2},\frac{1}{2}) & = & \sqrt{3} v_1+v_2 \ \hline (\frac{1}{2},\frac{\sqrt{3}}{2}) & = & 2 v_1+\sqrt{3} v_2 \ \hline (0,1) & = & \sqrt{3} v_1+2 v_2 \ \hline (-\frac{1}{2},\frac{\sqrt{3}}{2}) & = & v_1+\sqrt{3} v_2 \ \hline (-\frac{\sqrt{3}}{2},\frac{1}{2}) & = & v_2 \ \hline (-1,0) & = & -v_1 \ \hline (-\frac{\sqrt{3}}{2},-\frac{1}{2}) & = & -\sqrt{3} v_1-v_2 \ \hline (-\frac{1}{2},-\frac{\sqrt{3}}{2}) & = & -2 v_1-\sqrt{3} v_2 \ \hline (0,-1) & = & -\sqrt{3} v_1-2 v_2 \ \hline (\frac{1}{2},-\frac{\sqrt{3}}{2}) & = & -v_1-\sqrt{3} v_2 \ \hline (\frac{\sqrt{3}}{2},-\frac{1}{2}) & = & -v_2 \ \hline \end{array}</math> | ||
2012년 8월 5일 (일) 23:28 판
이 항목의 수학노트 원문주소
개요
예
\(v_{1}=(1, 0)\)
\(v_{2}=(-\sqrt{3}/2, 1/2)\)
\(\begin{array}{|rcl|} \hline \{1,0\} & = & v_1 \\ \hline \left\{\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & \sqrt{3} v_1+v_2 \\ \hline \left\{\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & 2 v_1+\sqrt{3} v_2 \\ \hline \{0,1\} & = & \sqrt{3} v_1+2 v_2 \\ \hline \left\{-\frac{1}{2},\frac{\sqrt{3}}{2}\right\} & = & v_1+\sqrt{3} v_2 \\ \hline \left\{-\frac{\sqrt{3}}{2},\frac{1}{2}\right\} & = & v_2 \\ \hline \{-1,0\} & = & -v_1 \\ \hline \left\{-\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -\sqrt{3} v_1-v_2 \\ \hline \left\{-\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -2 v_1-\sqrt{3} v_2 \\ \hline \{0,-1\} & = & -\sqrt{3} v_1-2 v_2 \\ \hline \left\{\frac{1}{2},-\frac{\sqrt{3}}{2}\right\} & = & -v_1-\sqrt{3} v_2 \\ \hline \left\{\frac{\sqrt{3}}{2},-\frac{1}{2}\right\} & = & -v_2 \\ \hline \end{array}\)
\(\begin{array}{|rcl|} \hline (1,0) & = & v_1 \ \hline (\frac{\sqrt{3}}{2},\frac{1}{2}) & = & \sqrt{3} v_1+v_2 \ \hline (\frac{1}{2},\frac{\sqrt{3}}{2}) & = & 2 v_1+\sqrt{3} v_2 \ \hline (0,1) & = & \sqrt{3} v_1+2 v_2 \ \hline (-\frac{1}{2},\frac{\sqrt{3}}{2}) & = & v_1+\sqrt{3} v_2 \ \hline (-\frac{\sqrt{3}}{2},\frac{1}{2}) & = & v_2 \ \hline (-1,0) & = & -v_1 \ \hline (-\frac{\sqrt{3}}{2},-\frac{1}{2}) & = & -\sqrt{3} v_1-v_2 \ \hline (-\frac{1}{2},-\frac{\sqrt{3}}{2}) & = & -2 v_1-\sqrt{3} v_2 \ \hline (0,-1) & = & -\sqrt{3} v_1-2 v_2 \ \hline (\frac{1}{2},-\frac{\sqrt{3}}{2}) & = & -v_1-\sqrt{3} v_2 \ \hline (\frac{\sqrt{3}}{2},-\frac{1}{2}) & = & -v_2 \ \hline \end{array}\)
역사
메모
- Math Overflow http://mathoverflow.net/search?q=
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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
사전 형태의 자료
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/
- The Online Encyclopaedia of Mathematics
- NIST Digital Library of Mathematical Functions
- The World of Mathematical Equations
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