Shrink long fractions

\documentclass{article}\pagestyle{empty}
\usepackage{mathtools,amssymb,amsfonts}
\begin{document}
\[
a = \frac{ \splitfrac{xxxxxxx}{+ xxxx} }{(1)}
+ \frac{ \splitdfrac{xxxxxxx}{+ xxxx} }{(2)}
+ \frac{ \begin{aligned} xxxxxxx \quad\\[-1ex] + xxxx \end{aligned} }{(3)} 
+ \frac{ \begin{split} xxxxxxx \quad\\[-1ex] + xxxx \end{split} }{(4)} 
+ \frac{ \substack{xxxxxxx \\ +xxxx} }{(5)}
\]
\end{document}

minimal 44.svg

use (1) in Obsidian

a = \frac{ \splitfrac{xxxxxxx}{+ xxxx} }{(1)}

use (2) in Obsidian

a = \frac{ \splitdfrac{xxxxxxx}{+ xxxx} }{(2)}

use (3) in Obsidian, VS Code, Quartz !inconsistent \begin{aligned}[b]

a = \frac{ \begin{aligned} xxxxxxx \quad\\[-1ex] + xxxx \end{aligned} }{(3)}

use (4) in Obsidian, VS Code, Quartz, Overleaf !warning to use aligned instead

a = + \frac{ \begin{split} xxxxxxx \quad\\[-1ex] + xxxx \end{split} }{(4)}

use (5) in Obsidian, VS Code, Quartz, Overleaf

a = \frac{ \substack{xxxxxxx \\ +xxxx} }{(5)}

Indent subsequent lines

\documentclass{article}\pagestyle{empty}
\usepackage{mathtools,amssymb,amsfonts}
\begin{document}
\begin{align*} \qquad&\hspace{-2em}
    R_1 =  \frac{\rho_i \,}{a_i \,\pi}\int_{0}^{h}\left(\frac{r_2-r_1}{h}y+r_1\right)^{-2}dy 
    = \frac{\rho_i \,}{a_i \,\pi}\left[-\frac{1}{\frac{r_2-r_1}{h}\left(\frac{r_2-r_1}{h}y+r_1\right)}\right]_0^h \\&
    = \frac{\rho_i \,}{a_i \,\pi}\left(\frac{h}{r_1\left(r_2-r_1\right)}-\frac{h}{r_2\left(r_2-r_1\right)}\right) +  \frac{\rho_i \,}{a_i \,\pi}\cdot\frac{h}{r_2-r_1}\left(\frac{r_2}{r_1r_2}-\frac{r_1}{r_1\ r_2}\right)
\end{align*}
\end{document}

R_{1} = \frac{ρ _{i}}{a _{i} π} \int_{0}^{h} (\frac{r _{2} - r _{1}}{h} y + r_{1})^{- 2} d y = \frac{ρ _{i}}{a _{i} π} [- \frac{1}{\frac{r _{2} - r _{1}}{h} ( \frac{r _{2} - r _{1}}{h} y + r _{1} )}]_{0}^{h} = \frac{ρ _{i}}{a _{i} π} (\frac{h}{r _{1} ( r _{2} - r _{1} )} - \frac{h}{r _{2} ( r _{2} - r _{1} )}) + \frac{ρ _{i}}{a _{i} π} \cdot \frac{h}{r _{2} - r _{1}} (\frac{r _{2}}{r _{1} r _{2}} - \frac{r _{1}}{r _{1} r _{2}})

Move equation left

\qquad&\hspace{-2em}
\MoveEqLeft{} % Mathjax only

Vertically aligned dots (Mathjax only)

\vdotswithin{=} \\&

\MoveEqLeft a + b + c + d = a + b + c + d = 0 + 1 + 2 + 3 \vdotswithin = = result

Set operators as column divider

\documentclass{article}
\pagestyle{empty}
\usepackage{amsmath,amssymb,mathtools,aligned-overset,array}
\begin{document}
\[
\begin{array}{l@{\:=\:}*{5}{l@{\:+\:}}l}
y_1 & a_{11}x_1 & a_{12}x_2 & a_{13}x_3 & \dots & a_{1(n-1)}x_{n-1} & a_{1n}x_n \\
y_2 & a_{21}x_1 & a_{22}x_2 & a_{23}x_3 & \dots & a_{2(n-1)}x_{n-1} & a_{2n}x_n \\
\ \vdots &\ \vdots &\ \vdots &\ \vdots &\ \vdots &\ \vdots &\ \vdots\\
y_{n-1} & a_{(n-1)1}x_1 & a_{(n-1)2}x_2 & a_{(n-1)3}x_3 & \dots & a_{(n-1)(n-1)}x_{n-1} &
a_{(n-1)n}x_n\\
y_n & a_{n1}x_1 & a_{n2}x_2 & a_{n3}x_3 & \dots & a_{(n)(n-1)}x_{n-1} & a_{nn}x_n
\end{array}
\]
\end{document}

mirror.physik.tu-berlin.de/pub/CTAN/obsolete/info/math/voss/mathmode/Mathmode.pdf#page=110

minimal 33.svg

a = \frac{\splitfrac x y + x y + x y + x y + x y + x y + x y + x y + x y}{z}

\MoveEqLeft f (x + y) = \framebox [8 c m] f i rs t e x p ress i o n = [t] \framebox [10 c m] o v er l o n g seco n d \framebox [4 c m] e x p ress i o n = \framebox [7 c m] t hi r d e x p ress i o n (1) (2) (3)

\MoveEqLeft A = \framebox [8 c m] f i rs t e x p ress i o n = \framebox [10 c m] seco n d \framebox [4 c m] e x p ress i o n = \framebox [7 c m] t hi r d e x p ress i o n (1) (2) (3)

R_{1} = \frac{ρ _{i}}{a _{i} π} \int_{0}^{h} (\frac{r _{2} - r _{1}}{h} y + r_{1})^{- 2} d y = \frac{ρ _{i}}{a _{i} π} [- \frac{1}{\frac{r _{2} - r _{1}}{h} ( \frac{r _{2} - r _{1}}{h} y + r _{1} )}]_{0}^{h} = Summanden in der Klammer vertauschen \frac{ρ _{i}}{a _{i} π} (- \frac{1}{\frac{r _{2} - r _{1}}{h} ( r _{2} - r _{1} + r _{1} )} + \frac{1}{\frac{r _{2} - r _{1}}{h} r _{1}}) = nutze (1) \frac{ρ _{i}}{a _{i} π} (\frac{h}{r _{1} ( r _{2} - r _{1} )} - \frac{h}{r _{2} ( r _{2} - r _{1} )}) = \frac{ρ _{i}}{a _{i} π} \cdot \frac{h}{r _{2} - r _{1}} (\frac{r _{2}}{r _{1} r _{2}} - \frac{r _{1}}{r _{1} r _{2}}) = a + b + c + d + e + f + g + h + i = \frac{ρ _{i} h}{d _{i} π ( r _{2} - r _{1} )} \frac{r _{2} - r _{1}}{r _{1} r _{2}} = \frac{ρ _{i}}{a _{i} π} \frac{h}{r _{1} r _{2}}

H (z_{p}) = \eqref eq:wegintegral \frac{I _{1}}{4 π} l \overset{a}{¨} uft 1 Umdrehung auf ϕ \oint \frac{d s \times r}{r ^{3}} = \frac{I _{1}}{4 π} \int \frac{e _{ϕ} \times r}{r ^{3}} a d ϕ = \frac{I _{1}}{4 π} \int_{0}^{2 π} \frac{e _{ϕ} \times r}{r ^{3}} a d ϕ = \eqref eq:abstandNorm \frac{I _{1} a}{4 π} \int_{0}^{2 π} \frac{e _{ϕ} \times r}{r ^{3}} d ϕ = \frac{I _{1} a}{4 π} \int_{0}^{2 π} \frac{e _{ϕ} \times r}{Nenner unabh a ¨ ngig von ϕ ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{3}} d ϕ = \frac{I _{1} a}{4 π} \int_{0}^{2 π} \frac{e _{ϕ} \times r}{( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} d ϕ = \eqref eq:kreuzprodukt \frac{I _{1} a}{4 π ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} \int_{0}^{2 π} e_{ϕ} \times r d ϕ = \frac{I _{1} a}{4 π ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} \int_{0}^{2 π} - cos ϕ (z_{p} - h) - sin ϕ (z_{p} - h) a d ϕ = \frac{I _{1} a}{4 π ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} cos ϕ (z_{p} - h) sin ϕ (z_{p} - h) a ϕ_{0}^{2 π} = \frac{I _{1} a}{4 π ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} \cdot 00 2 πa - - - 000 = \frac{I _{1} a}{4 π ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} \cdot 2 πa e_{z} = \frac{I _{1} a ^{2}}{2 ( a ^{2} + ( z _{p} - h ) ^{2} ) ^{\frac{3}{2}}} e_{z}

\framebox [1 e m] x = \framebox [3 e m] x = \framebox [4 e m] x = \dots ⟶ \MoveEqLeft \framebox [1 e m] x = \framebox [3 e m] x = \framebox [4 e m] x ⋮

\begin{align*}\MoveEqLeft{} \framebox[3em]{x} = \framebox[16em]{x} \\& = \begin{aligned}[t] \framebox[20em]{$\mathrm{x_1}$} \\ \framebox[7em]{$\mathrm{x_2}$} \end{aligned} \\& = \framebox[15em]{x} \end{align*}

\framebox [1 e m] x + \frac{\framebox [ 10 e m ] x}{\framebox [ 2 e m ] x} ⟶ \framebox [1 e m] x +

\MoveEqLeft P (X + Y = k) = x \in X (Ω) \sum P (X = x) \cdot P (Y = k - x) = x = 0 \sum n (x n) p^{x} (1 - p)^{n - x} \cdot (k - x m) q^{k - x} (1 - q)^{m - (k - x)}

Anton's Digital Garden

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Wrap long equation over multiple lines

Shrink long fractions

Indent subsequent lines

Set operators as column divider

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