2034: Equations

2018-08-17T08:14:55Z

Dtamarit: Addition to the methane combustion explanation

{{comic
| number = 2034
| date = August 17, 2018
| title = Equations
| image = equations.png
| titletext = All electromagnetic equations: The same as all fluid dynamics equations, but with the 8 and 23 replaced with the permittivity and permeability of free space, respectively.
}}

==Explanation==
{{incomplete|Created by a BOT - Please change this comment when editing this page. Do NOT delete this tag too soon.}}
{| class="wikitable"
!style="width:20%"|Equation
!style="width:20%"|Field
!style="width:60%"|Explanation
|-
|<math>E = K_0t + \frac{1}{2}\rho vt^2</math>
|All kinematics equations
|Energy equals a constant <math>K_0</math> multiplied by time plus half of density multiplied by speed multiplied by time squared
|-
|<math>K_n = \sum_{i=0}^{\infty}\sum_{\pi=0}^{\infty}(n-\pi)(i-e^{\pi-\infty})</math>
|All number theory equations
|Taken literal the equation says: "The nth K-number is equal to for all i in 0 to infinity, for all pi in 0 to infinity; subtract pi from n and multiply it with i minus e (to the power of pi minus infinity)". A twofold misconception can be seen here. The first is the reassignment of pi as a variable instead of the constant (3.14). This might be a jab at how in number theory letters and numbers are used interchangeably, but where some letters are all of a sudden fixed constants. The second misconception is the use of infinity in the latter part of the formula. Naively this would signify that (with the reassigned pi values) the part in the power would range from minus infinity to zero. However infinity is not a number and cannot be used as one without using a limit construct.
|-
|<math>\frac{\partial}{\partial t}\nabla\cdot p = \frac{8}{23}

\int\!\!\!\!\!\!\!\!\!\;\;\bigcirc\!\!\!\!\!\!\!\!\!\;\;\int
\rho\,ds\,dt\cdot \rho\frac{\partial}{\partial\nabla}
</math>
|All fluid dynamic equations
|-
|<math>|\psi_{x,y}\rangle = A(\psi) A(|x\rangle \otimes |y\rangle)</math>
|All quantum mechanic equations
|
|-
|<math>\mathrm{CH}_4 + \mathrm{OH} + \mathrm{HEAT} \rightarrow \mathrm{H}_2\mathrm{O} + \mathrm{CH}_2 + \mathrm{H}_2 \mathrm{EAT}</math>
|All chemistry equations
| A modification of the combustion of methane. The correct form is often taught and a good example problem but obviously there are more chemistry problems.<math>HEAT</math> is normally shorthand for {{w|activation energy}}, but in Randall's version it's jokingly used as a chemical ingredient and becomes <math>H_2EAT</math>, taking the hydrogen atom freed by the combustion equation shown. To deliver the punchline while maintaining proper stoichiometry, <math>\mathrm{OH}</math> (which should be <math>\mathrm{OH}^-</math>, since the oxygen keeps a free electron when it combines with a single hydrogen) is shown instead of <math>\mathrm{O}_2</math>. The proper methane combustion equation would be: <math>\mathrm{CH}_4 + \mathrm{O}_2 \rightarrow 2 \mathrm{H}_2\mathrm{O} + \mathrm{CO}_2</math>
|-
|<math>SU(2)U(1) \times SU\left(U(2)\right)</math>
|All quantum gravity equations
|
|-
|<math>S_g = \frac{-1}{2\bar{\epsilon}}i\eth \hat{\big(} \zeta_0 \dotplus p_\epsilon \rho_v^{abc}\cdot \eta_0 \hat{\big)} f_a^0 a\lambda(\xi) \psi(0_a)</math> 
|All gauge theory equations
|
|-
|<math>H(t) + \Omega + G \cdot \Lambda \, \dots \begin{cases} \dots > 0 & \text{(HUBBLE MODEL)} \\ \dots = 0 & \text{(FLAT SPHERE MODEL)} \\ \dots < 0 & \text{(BRIGHT DARK MATTER MODEL)} \end{cases}
</math>
|All cosmology equations
|
|-
|<math>\hat H - \mu_{0} = 0</math>
|All truly deep physics equations
|
|-
|<math>\frac{\partial}{\partial t}\nabla\cdot p = \frac{\epsilon_0}{\mu_0}
\int\!\!\!\!\!\!\!\!\!\;\;\bigcirc\!\!\!\!\!\!\!\!\!\;\;\int
\rho\,ds\,dt\cdot \rho\frac{\partial}{\partial\nabla}
</math>
|All electromagnetic equations
|This equation has superficial resemblance to portions of [//en.wikipedia.org/wiki/Maxwell%27s_equations Maxwell's Equations], but just miscellaneous bits, some from the integral forms and some from the differential forms.
|}

==Transcript==
{{incomplete transcript|Do NOT delete this tag too soon.}}
[TODO: Avoid using math markup here because the images of these equations isn't helpful in a transcript. Sigh.]
[Nine equations are listed and labeled as followed:]
 
E = K0t + 1/2 pvt2 
ALL KINEMATICS EQUATIONS 
 
<math>K_n = \sum_{i=0}^{\infty}\sum_{\pi=0}^{\infty}(n-\pi)(i-e^{\pi-\infty})</math> 
ALL NUMBER THEORY EQUATIONS 
 
∂/∂t ∇ ⋅ p = 8/23 (∯ ρ ds dt ⋅ ρ ∂/∂∇) 
ALL FLUID DYNAMIC EQUATIONS 
 
<math>|\psi_{x,y}\rangle = A(\psi) A(|x\rangle \otimes |y\rangle)</math> 
ALL QUANTUM MECHANIC EQUATIONS 
 
CH4 + OH + HEAT → H2O + CH2 + H2EAT 
ALL CHEMISTRY EQUATIONS 
 
SU(2)U(1) × SU(U(2)) 
ALL QUANTUM GRAVITY EQUATIONS 
 
<math>S_g = \frac{-1}{2\epsilon}i\eth \hat{\big(} \zeta_0 \dotplus p_\epsilon \rho_v^{abc}\cdot \eta_0 \hat{\big)} f_a^0 a\lambda(\zeta) \psi(0_a)</math> 
ALL GAUGE THEORY EQUATIONS 
 
<math>H(t) + \Omega + G \cdot \land \, ... \begin{cases} ... > 0 & \text{(HUBBLE MODEL)} \\ ... = 0 & \text{(FLAT SPHERE MODEL)} \\ ... < 0 & \text{(BRIGHT DARK MATTER MODEL)} \end{cases}
</math> 
ALL COSMOLOGY EQUATIONS 
 
Ĥ - u̧0 = 0 
ALL TRULY DEEP PHYSICS EQUATIONS
 

{{comic discussion}}
[[Category:Math]]

explain xkcd - User contributions [en]

2034: Equations