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Diffstat (limited to 'html/encyclopedia/mathematics.html')
| -rw-r--r-- | html/encyclopedia/mathematics.html | 12 |
1 files changed, 11 insertions, 1 deletions
diff --git a/html/encyclopedia/mathematics.html b/html/encyclopedia/mathematics.html index cec4848..8409543 100644 --- a/html/encyclopedia/mathematics.html +++ b/html/encyclopedia/mathematics.html @@ -14,10 +14,14 @@ <p class="math">\(x+y=z\)</p> <p class="math">\(z-y=x\)</p> <p class="math">\(z-x=y\)</p> + <p class="math">\(\sum_{i=a}^b i=a+(a \pm 1) + \cdots +(b \pm 1)+b\)</p> <br /> <p class="math">\(xy=z\)</p> <p class="math">\(\frac{z}{y}=x\)</p> <p class="math">\(\frac{z}{x}=y\)</p> + <p class="math">\(\prod_{i=a}^b i=a(a \pm 1) \cdots (b \pm 1)b\)</p> + <p class="math">\(n!=\prod_{i=1}^n i,n \gt 0\)</p> + <p class="math">\(0!=1\)</p> <br /> <p class="math">\(\frac{x}{y}=z\)</p> <p class="math">\(zy=x\)</p> @@ -27,6 +31,7 @@ <p class="math">\(\sqrt[y]{z}=x\)</p> <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">\(x^0=1\)</p> <p class="math">\(x^{\frac{a}{b}}=\sqrt[b]{x^a}\)</p> @@ -123,7 +128,7 @@ <br /> <p class="math">\(\angle A=sin^{-1}(\frac{a}{c})=cos^{-1}(\frac{b}{c})=tan^{-1}(\frac{a}{b})=vinkelsum(3)-\angle B-\angle C\)</p> <p class="math">\(\angle B=sin^{-1}(\frac{b}{c})=cos^{-1}(\frac{a}{c})=tan^{-1}(\frac{b}{a})=vinkelsum(3)-\angle A-\angle C\)</p> - <p class="math">\(\angle C=vinkelsum(3)-\angle A-\angle B\)</p> + <p class="math">\(\angle C=(\sum \theta)-\angle A-\angle B\)</p> <p>I en regulær trekant:</p> <p class="math">\(\angle A=\angle B=\angle C=\frac{\pi}{3}\)</p> <p>I en retvinklet trekant:</p> @@ -182,6 +187,10 @@ <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> @@ -191,6 +200,7 @@ <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> </div> </div> |