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Diffstat (limited to 'html/topic/mathematics.html')
| -rw-r--r-- | html/topic/mathematics.html | 89 |
1 files changed, 47 insertions, 42 deletions
diff --git a/html/topic/mathematics.html b/html/topic/mathematics.html index d9beb5c..4055206 100644 --- a/html/topic/mathematics.html +++ b/html/topic/mathematics.html @@ -31,7 +31,7 @@ <p class="math">\(log_x(z)=y\)</p> <br /> <p class="math">\(x^n=\prod_{i=1}^n x,\ n \gt 0\)</p> - <p class="math">\(x^n=\frac {1}{x^{-n}},\ n \lt 0\)</p> + <p class="math">\(x^n=\frac 1{x^{-n}},\ n \lt 0\)</p> <p class="math">\(x^0=1\)</p> <p class="math">\(x^{\frac nm}=\sqrt[m] {x^n}\)</p> <br /> @@ -69,7 +69,7 @@ <br /> <p>Eksponentiel:</p> <p class="math">\(f(x)=ba^x\)</p> - <p class="math">\(a=\sqrt[x_1-x_0] {\frac {y_1}{y_{0}}}\)</p> + <p class="math">\(a=\sqrt[x_1-x_0] {\frac {y_1}{y_0}}\)</p> <p class="math">\(b=\frac {y}{a^x}\)</p> <p class="math">\(f(0)=b\)</p> <br /> @@ -128,9 +128,9 @@ <p class="math">\(\beta=sin^{-1}(\frac bc)=cos^{-1}(\frac ac)=tan^{-1}(\frac ba)=\Theta(3)-\alpha-\gamma\)</p> <p class="math">\(\gamma=\Theta(3)-\alpha-\beta\)</p> <p>I en retvinklet trekant:</p> - <p class="math">\(\gamma=\frac {\pi}{2}\)</p> + <p class="math">\(\gamma=\frac {\pi}2\)</p> <p>I en regulær trekant:</p> - <p class="math">\(\alpha=\beta=\gamma=\frac {\pi}{3}\)</p> + <p class="math">\(\alpha=\beta=\gamma=\frac {\pi}3\)</p> <br /> <p class="math">\(a=c \cdot sin(\alpha)=c \cdot cos(\beta)=b \cdot tan(\alpha)=b \cdot cot(\beta)\)</p> <p class="math">\(b=c \cdot sin(\beta)=c \cdot cos(\alpha)=a \cdot tan(\beta)=a \cdot cot(\alpha)\)</p> @@ -140,12 +140,13 @@ <p class="math">\(b=\sqrt[2] {c^2-a^2}\)</p> <p class="math">\(c=\sqrt[2] {a^2+b^2}\)</p> <p>I en retvinklet trekant, hvori kateterne har samme længde:</p> - <p class="math">\(a=b=\sqrt[2] {\frac {c^2}{2}}\)</p> + <p class="math">\(a=b=\sqrt[2] {\frac {c^2}2}\)</p> <p>I en regulær trekant:</p> <p class="math">\(a=b=c\)</p> <br /> <p class="math">\(O=a+b+c\)</p> - <p class="math">\(A=\frac {b h}{2}\)</p> + <p class="math">\(A=\frac {bh}2\)</p> + <p>... hvori <i>b</i> er bredten af trekanten og <i>h</i> er dens højde.</p> <p>Mellem to ligedannede trekanter:</p> <p class="math">\(\alpha_1=\alpha_0\)</p> <p class="math">\(\beta_1=\beta_0\)</p> @@ -160,46 +161,50 @@ <div class="section" id="constants"> <p class="sectionHeading">Konstanter</p> <table> - <tr> - <th>Navn</th> - <th>Symbol</th> - </tr> - <tr> - <td>Pythagoras' konstant</td> - <td class="math">\(\sqrt[2] {2}\)</td> - </tr> - <tr> - <td>Theodorus' konstant</td> - <td class="math">\(\sqrt[2] {3}\)</td> - </tr> - <tr> - <td>Eulers tal</td> - <td class="math">\(e\)</td> - </tr> - <tr> - <td><sub>den </sub>imaginære enhed</td> - <td class="math">\(i\)</td> - </tr> - <tr> - <td>Arkimedes' konstant (<i>pi</i>)</td> - <td class="math">\(\pi\)</td> - </tr> - <tr> - <td><i>tau</i></td> - <td class="math">\(\tau\)</td> - </tr> - <tr> - <td><sub>den </sub>gyldne ratio</td> - <td class="math">\(\phi\)</td> - </tr> + <thead> + <tr> + <th>Navn</th> + <th>Symbol</th> + </tr> + </thead> + <tbody> + <tr> + <td>Pythagoras' konstant</td> + <td class="math">\(\sqrt[2] 2\)</td> + </tr> + <tr> + <td>Theodorus' konstant</td> + <td class="math">\(\sqrt[2] 3\)</td> + </tr> + <tr> + <td>Eulers tal</td> + <td class="math">\(e\)</td> + </tr> + <tr> + <td><sub>den </sub>imaginære enhed</td> + <td class="math">\(i\)</td> + </tr> + <tr> + <td>Arkimedes' konstant (<i>pi</i>)</td> + <td class="math">\(\pi\)</td> + </tr> + <tr> + <td><i>tau</i></td> + <td class="math">\(\tau\)</td> + </tr> + <tr> + <td><sub>den </sub>gyldne ratio</td> + <td class="math">\(\phi\)</td> + </tr> + </tbody> </table> - <p class="math">\(\sqrt[2] {2} \approx \frac {1\ 414\ 213\ 562}{10^9}\)</p> - <p class="math">\(\sqrt[2] {3} \approx \frac {1\ 732\ 050\ 808}{10^9}\)</p> - <p class="math">\(e=\sum_{n=0}^\infty \frac {1}{n!} \approx \frac {2\ 718\ 281\ 828}{10^9}\)</p> + <p class="math">\(\sqrt[2] 2 \approx \frac {1\ 414\ 213\ 562}{10^9}\)</p> + <p class="math">\(\sqrt[2] 3 \approx \frac {1\ 732\ 050\ 808}{10^9}\)</p> + <p class="math">\(e=\sum_{n=0}^\infty \frac 1{n!} \approx \frac {2\ 718\ 281\ 828}{10^9}\)</p> <p class="math">\(i=\sqrt[2] {-1}\)</p> <p class="math">\(\pi \approx \frac {3\ 141\ 592\ 654}{10^9}\)</p> <p class="math">\(\tau=2\pi \approx \frac {6\ 283\ 185\ 307}{10^9}\)</p> - <p class="math">\(\phi=\frac {1+\sqrt[2] {5}}{2} \approx \frac {1\ 618\ 033\ 989}{10^9}\)</p> + <p class="math">\(\phi=\frac {1+\sqrt[2] 5}2 \approx \frac {1\ 618\ 033\ 989}{10^9}\)</p> </div> </div> <!--#include virtual="/shtml/copyrightNotice.shtml"--> |