User:A 12365/sandbox

I like these math transcendental constants

1.$\pi ={\frac {C}{d}}=3.1415926535...$
2.$e=\lim _{n\to \infty }\left(\left(1+{\frac {1}{n}}\right)^{n}\right)=\sum _{k=0}^{\infty }\left({\frac {1}{k!}}\right)=2.7182818284...$
3.$\gamma =\lim _{n\to \infty }\left(\sum _{k=1}^{n}\left({\frac {1}{k}}\right)-\ln(n)\right)=\int _{1}^{\infty }{\frac {1}{\left\lfloor x\right\rfloor }}-{\frac {1}{x}}\,dx=0.5772156649...$
4.$C=\sum _{k=0}^{\infty }\left({\frac {\left(-1\right)^{k}}{\left(2k+1\right)^{2}}}\right)=0.9159655941...$
5.$G={\frac {1}{\operatorname {agm} \left(1,{\sqrt {2}}\right)}}=0.8346268417...$
6.$\zeta (3)=\sum _{k=1}^{\infty }\left({\frac {1}{k^{3}}}\right)=1.2020569031...$
7.$\ln \left(2\right)=\log _{e}2=\lim _{n\to \infty }\left(n\left({\sqrt[{n}]{2}}-1\right)\right)=0.6931471805...$
8.$\Omega =\operatorname {W} \left(1\right)=0.5671432904...$
9.$\delta =\lim _{n\to \infty }\left({\frac {a_{n-1}-a_{n-2}}{a_{n}-a_{n-1}}}\right)=4.6692016091...$
10.$K_{0}=\prod _{r=1}^{\infty }\left({\left(1+{1 \over r\left(r+2\right)}\right)}^{\log _{2}\left(r\right)}\right)=2.6854520010...$

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11.$\alpha =\lim _{n\to \infty }\left({\frac {d_{n}}{d_{n+1}}}\right)=2.502907875...$
12.${\text{£}}_{Li}=\sum _{k=1}^{\infty }\left({\frac {1}{10^{k!}}}\right)=0.1100010000...$
13.$\Omega =\sum _{p\in P_{F}}\left(2^{-\left\vert p\right\vert }\right)=0.0078749969...$
14.$e^{\pi }=\sum _{k=0}^{\infty }\left({\frac {\pi ^{n}}{n!}}\right)=23.1406926327...$
15.$C_{10}=0.1234567891...$
16.$2^{\sqrt {2}}=2.6651441426...$
17.$i^{i}=e^{-{\frac {\pi }{2}}}=0.2078795763...$
18.$\varpi =\pi G=2.6220575542...$
19.$\tau =1-{\frac {1}{e}}=0.6321205588...$
20.$b=(3-{\sqrt {5}})\pi =2.3999632297...$

I like these sciences

1.Mathematics
2.Computer Science
3.Control Science
4.Physics
5.Operational Research

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6.Biology
7.Chemistry
8.Space science
9.Earth science
10.Medicine
......