This editor is a Grand Tutnum Book of Knowledge with Coffee Cup Stain I love reading and studying physics. I like (fast) trains and architecture. I am interested in certain technical matters.
This user believes that one should never stop feeding one's brain.
This user loves libraries
Group 2: Math and Physics
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Group 3: Hobbies and Miscellany
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This user does not
smoke .
This user drinks milk
3R This user believes that you should Reduce, Reuse, Recycle.
La Te X This user can typeset using La Te X
Group 5: Entertainment
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Pages I edited a lot
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Physics and mathematics
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Some useful La Te X code
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Aligning and spacing
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3
+
x
=
4
we are trying to solve for
x
x
=
4
−
3
Subtract 3 from both sides
x
=
1
x
must be one
{\displaystyle {\begin{aligned}3+x&=4&&{\text{we are trying to solve for }}x\\[6pt]x&=4-3&&{\text{Subtract 3 from both sides}}\\x&=1&&x{\text{ must be one}}\end{aligned}}}
Boundaries of integration
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Standard way:
∫
0
∞
e
−
a
x
2
d
x
=
1
2
π
a
and
∭
R
3
⟨
Ψ
|
Ψ
⟩
d
x
d
y
d
z
=
1
{\displaystyle \int _{0}^{\infty }e^{-ax^{2}}\,dx={\frac {1}{2}}{\sqrt {\frac {\pi }{a}}}\qquad {\text{and}}\qquad \iiint _{\mathbb {R} ^{3}}\langle \Psi |\Psi \rangle \,dx\,dy\,dz=1}
Preferred way:
∫
0
∞
sin
x
x
d
x
=
π
2
and
∭
R
3
e
−
a
(
x
2
+
y
2
+
z
2
)
d
x
d
y
d
z
=
(
π
a
)
3
/
2
{\displaystyle \int \limits _{0}^{\infty }{\frac {\sin x}{x}}dx={\frac {\pi }{2}}\qquad {\text{and}}\qquad \iiint \limits _{\mathbb {R} ^{3}}e^{-a(x^{2}+y^{2}+z^{2})}\,dx\,dy\,dz=\left({\frac {\pi }{a}}\right)^{3/2}}
“
If you don't talk the way they understand, you'll not become their friend.
”
— Cédric Villani .[ 1]
“
Rise above oneself and grasp the world.
”
— Attributed to Archimedes [ 2]
“
I don't try to do very much that is obviously flashy. I try to focus on the fundamentals of the material. I very much enjoy trying to get a complete grasp of the subject I'm trying to teach so that I can present it in a clear, consistent and thorough way.
”
— Robert M. Wald[ 3]
Gymnopédies No.1 by Erick Satie.
Clair de Lune by Claude Debussy.
Grande valse brillante in E-flat major, Op. 18, by Frédéric Chopin.
![{\displaystyle {\begin{aligned}3+x&=4&&{\text{we are trying to solve for }}x\\[6pt]x&=4-3&&{\text{Subtract 3 from both sides}}\\x&=1&&x{\text{ must be one}}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a6c4b8ba815e546bd26476ffa9c4f3374999df48)
