${\displaystyle \pi =\sigma \upsilon \nu ^{-1}{\begin{pmatrix}-1\end{pmatrix}}\simeq 3,141592653589793238462643...}$

${\displaystyle e=\lim _{n\to \infty }{\begin{pmatrix}1+{\frac {1}{n}}\end{pmatrix}}^{n}\simeq 2,718281828459045235360287...}$

• e: βάση των φυσικών λογαρίθμων.

${\displaystyle {\sqrt {2}}=2^{\frac {1}{2}}\simeq 1,4142135623730950488...}$

${\displaystyle {\sqrt {3}}=3^{\frac {1}{2}}\simeq 1,7320508075688772935...}$

${\displaystyle {\sqrt {5}}=5^{\frac {1}{2}}\simeq 2,2360679774997896964...}$

${\displaystyle {\sqrt[{3}]{2}}=2^{\frac {1}{3}}\simeq 1,259921050...}$

${\displaystyle {\sqrt[{3}]{3}}=3^{\frac {1}{3}}\simeq 1,442249570...}$

${\displaystyle {\sqrt[{5}]{2}}=2^{\frac {1}{5}}\simeq 1,148698355...}$

${\displaystyle {\sqrt[{5}]{3}}=3^{\frac {1}{5}}\simeq 1,245730940...}$

${\displaystyle e^{\pi }\simeq 23,140692632779269006...}$

${\displaystyle \pi ^{\mbox{e}}\simeq 22,45915771836104547342715...}$

${\displaystyle e^{\mbox{e}}\simeq 15,154262241479264190...}$

${\displaystyle log_{10}2={\frac {ln2}{ln10}}\simeq 0,3010299956639811952137389...}$

${\displaystyle log_{10}3={\frac {ln3}{ln10}}\simeq 0,4771212547196624372950279...}$

${\displaystyle log_{10}e={\frac {lne}{ln10}}={\frac {1}{ln10}}\simeq 0,43429448190325182765...}$

${\displaystyle log_{10}\pi ={\frac {ln\pi }{ln10}}\simeq 0,4971498726941338543512683...}$

${\displaystyle ln10\simeq 2,302585092994045684017991...}$

${\displaystyle ln2\simeq 0,693147180559945309417232...}$

${\displaystyle ln3\simeq 1,098612288668109691395245...}$

${\displaystyle \gamma =\lim _{n\to \infty }{\begin{pmatrix}{\begin{matrix}n\\\sum \\i=1\end{matrix}}{\frac {1}{n}}-lnn\end{pmatrix}}\simeq 0,577215664901532860606512...}$

• γ: σταθερά Euler.

${\displaystyle e^{\gamma }\simeq 1,7810724179901979852...}$

${\displaystyle {\sqrt {e}}=e^{\frac {1}{2}}\simeq 1,6487212707001281468...}$

${\displaystyle {\sqrt {\pi }}=\pi ^{\frac {1}{2}}=\Gamma {\begin{pmatrix}{\frac {1}{2}}\end{pmatrix}}\simeq 1,772453850905516027298167...}$

• Γ: Συνάρτηση Γ.

${\displaystyle \Gamma {\begin{pmatrix}{\frac {1}{3}}\end{pmatrix}}\simeq 2,678938534707748...}$

${\displaystyle \Gamma {\begin{pmatrix}{\frac {1}{4}}\end{pmatrix}}\simeq 3,625609908221908...}$

${\displaystyle 1\;rad={\frac {180^{o}}{\pi }}\simeq 57,29577951308232...^{o}}$

• rad = ακτίνιο.

${\displaystyle 1^{o}={\frac {\pi }{180}}\;rad\simeq 0,0174532925199432957...\;rad}$

${\displaystyle \lim _{n\to \infty }(\prod _{i=0}^{n}{\alpha }_{i})^{1 \over n}=K_{0}=\prod _{r=1}^{\infty }(1+{1 \over r(r+2)})^{l}og_{2}r\simeq 2,6854520010...}$

• K₀= σταθερά Khinchin

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