This editor is a Grand Tutnum and is entitled to display this 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.
Some useful La Te X code
Aligning and spacing
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
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))