All Equations

* All Equations
@ 2021-12-10 16:59 Henning Hraban Ramm via ntg-context
  2021-12-10 17:03 ` Aditya Mahajan via ntg-context
  2021-12-10 17:06 ` Wolfgang Schuster via ntg-context
  0 siblings, 2 replies; 4+ messages in thread
From: Henning Hraban Ramm via ntg-context @ 2021-12-10 16:59 UTC (permalink / raw)
  To: mailing list for ConTeXt users; +Cc: Henning Hraban Ramm

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Since I never used math with ConTeXt, I tried to replicate XKCD 2034 as 
an exercise (see below and attached). I’d like to put it on the wiki and 
in my book.

I know this is nonsense, but I’d like to do it right.

In some cases I’m unsure which symbol the author meant, e.g. p or \rho, 
0 or O, 1 or I or | ...
Yes, I could have used proper Unicode characters (ρ, π etc.).

Can you answer my questions (%? in the source)? (Partly TeX related, 
partly math/physics related.)

"""
\setupinteraction[state=start]

\starttext
\subject{All equations\footnote{according to 
\goto{XKCD}[url(https://xkcd.com/2034/)]}...}

... of Kinematics:
\startformula E = K_0t + \frac{1}{2}\rho vt^2 \stopformula
% ? Should it be v or \nu?

... of Number Theory:
\startformula K_\Lambda = 
\sum^\infty_{i=0}\sum^\infty_{\pi=0}(n-\pi)(i+e^{\pi-\infty})\stopformula

... of Fluid Dynamics:
\startformula \frac{\delta}{\delta_t}\nabla\cdot\rho = 
\frac{8}{23}\oiint\rho d_s 
d_t\cdot\rho\frac{\delta}{\delta_\nabla}\stopformula
% ? Would ds dt be better than d_s d_t?

... of Quantum Mechanics:
\startformula I\Psi_{x,y}>=A(\Psi)A(I\times>\oplus Iy>)\stopformula
% ? Should those be I, 1 or |, > or some angle bracket?

... of Chemistry:
\startformula CH_4 + OH + HEAT \rightarrow H_2O + CH_2 + H_2EAT\stopformula
% ? Should we something different for chem. formulae?

... of Quantum Gravity:
\startformula SU(2)U(I) \times SU(U(2))\stopformula
% It’s not even an equation...

... of Gauge Theory:
\startformula
S_g =
\frac{-I}{2\bar{\epsilon}} i \delta
\left(
\xi_{\delta_0} \mathring{+} \rho_\epsilon \rho_v^{abc}\cdot\eta_0
\right)
f_a^0 a\lambda(\rotate[rotation=180,location=high]{\xi})\Psi(O_a)
\stopformula
% ? I guess the first \delta should be crossed somehow?
% ? Is it possible to get \hat accents over the brackets? \hat{\left(} 
doesn’t work.
% ? What’s that symbol after \right) ? (f with two bars, maybe kind of 
integral?)

... of Cosmology:
\startformula h(t) + \Omega + G \cdot \Lambda ...
\startmathcases
\NC ... > 0 \TC (Hubble Model) \NR
\NC ... = 0 \TC (Flat Squere Model) \NR
\NC ... < 0 \TC (Bright Dark Matter Model) \NR
\stopmathcases
\stopformula

... of Truly Deep Physics: \startformula \hat{H} - \c{u}_0 = O\stopformula
% ? How can I get a cedilla under the u? \c{u} is wrong.

\page
\subject{Original}
\externalfigure[https://imgs.xkcd.com/comics/equations.png][width=\textwidth]
\stoptext
"""

Hraban

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