Fundamental Math Constants
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Contents
Name
| Name | Symbol | Value |
|---|---|---|
| Archimedes' constant or Ludolph's number. Pi. |
[math]\pi\,\![/math] | [math]\lim_{n \to \infty}\frac{P_{n}}{d}\,\,[/math] [math]\approx 3.14159\,\,26535\,\,89793\,\,23846\,\,26433\,\,83279\,\,50288\,\,41971\,\,\![/math] |
| Napier's constant. Base of Natural Logarithms. |
[math]e \,\![/math] | [math]\lim_{n\to\infty} \left(1+{1\over n}\right)^n\,\,[/math] [math]\approx 2.71828\,\,18284\,\,59045\,\,23536\,\,0287\,\![/math] |
| Pythagoras' constant. Square root of two. |
[math]\sqrt {2} \,\![/math] | [math]\approx 1.41421\,\,35623\,\,73095\,\,04880\,\,16887\,\,24209\,\,69807\,\,85696\,\,71875\,\,37694\,\![/math] |
| Theodorus' constant. Square root of three. |
[math]\sqrt {3} \,\![/math] | [math]\approx 1.73205\,\,08075\,\,68877\,\,29352\,\,74463\,\,41505 \,\,87236\,\![/math] |
| Euler-Mascheroni's constant. Gamma. |
[math]\gamma\,\![/math] | [math]\lim_{n \rightarrow \infty } \left[ \left(
\sum_{k=1}^n \frac{1}{k} \right) - \ln(n) \right][/math] [math]\approx 0.57721\,\,56649\,\,01532\,\,86060\,\,6512[/math] |
| Apéry's constant.. Zeta(3) |
[math]\zeta(3)\,\![/math] | [math]\sum_{k=1}^\infty\frac{1}{k^3}=1+\frac{1}{2^3} + \frac{1}{3^3} +\frac{1}{4^3} +\frac{1}{5^3} +\ldots[/math] [math]\approx 1.20205\; 69031\; 59594\; 28539\; 97381\;61511\,[/math] |
| The Golden Ratio. Phi |
[math]\varphi\,\![/math] | [math]\frac{1+\sqrt{5}}{2}[/math] [math]\approx 1.61803\,\,39887\,\,[/math] |
| Natural logarithm of two. | [math]ln2\,\![/math] | [math]\sum_{k=1}^\infty\frac{(-1)^{k-1}}{k}=1+\frac{-1}{2} + \frac{1}{3} + \frac{-1}{4} + \frac{1}{5} + \ldots\,[/math] [math]\approx 0.69314\;71805\;59945\;30941\,72321\;21458\;17656\,[/math] |
| Delian's constant. Cube root of two. |
[math]\sqrt[3] {2}\,\![/math] | [math]\approx 1.25992\;10498\;94873\;16476\;72106\;07278\;22835\;[/math] |
Usage
- Write here usage for the table
See Also
- List here internal links
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