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17_equations [2024-05-05 10:45] – [Calculus] nik17_equations [2024-08-12 11:04] (current) nik
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-==== Pythagorean Theorem ====+=== Pythagorean Theorem ===
  
-a2+b2=c2+$$a^2 + b^2 = c^2$$
  
-==== Logarithms ====+---- 
 +=== Logarithms ===
  
-logxy=logx+logy+$$log{xy} = log{x} + log{y}$$
  
-==== Calculus ===+---- 
-ft=limx=f(t+h)f(t)h+=== Calculus ===
  
 +ft=limh=f(t+h)f(t)h
  
-==== Newton’s Law of Gravity ==== 
-Fgravity=Gm1m2r2 
-==== Complex Numbers ==== 
  
-$i^2=-1$+---- 
 +=== Newton’s Law of Gravity ===
  
-==== Euler’s Formula for Polyhedra ====+$${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$
  
-==== Normal Distribution ====+---- 
 +=== Complex Numbers ===
  
-==== Wave Equation ====+$$i^2=-1$$
  
-==== Fourier Transform ====+---- 
 +=== Euler’s Formula for Polyhedra ===
  
-==== Navier-Stokes Equation ====+$$V-E+F=2$$ 
 +---- 
 +=== Normal Distribution ===
  
-==== Maxwell’s Equations ====+$$\Phi(x)\frac{1}{\sqrt{2\pi\rho}} e^{\frac{(x-\mu)^2}{2\rho^2}}$$
  
-==== Second Law of Thermodynamics ====+---- 
 +=== Wave Equation ===
  
-$dS\geq0$+$$\frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2}$$
  
-==== Relativity ====+---- 
 +=== Fourier Transform ===
  
-$E=mc^2$+$$f(\omega) \int_{\infty}^{\infty}f(x)e^{-2\pi i x \omega} \text{d}x$$
  
-==== Schrodinger’s Equation ====+---- 
 +=== Navier-Stokes Equation ===
  
 +ρ(dvdt+vv)=p+T+f
  
-==== Information Theory ====+---- 
 +=== Maxwell’s Equations ===
  
-$H=-\sum p(x) + log{p(x)}$+$$\begin{aligned} 
 +&\nabla\cdot\mathcal{E} = 0 
 +&\nabla\cdot\mathcal{H
 +\end{aligned}$$
  
-==== Chaos Theory ====+$$\begin{aligned} 
 +&\nabla\times\mathcal{E} - \frac{1}{c}\frac{\partial\mathcal{H}}{\partial t} 
 +&\nabla\times\mathcal{H} - \frac{1}{c}\frac{\partial\mathcal{E}}{\partial t} 
 +\end{aligned}$$
  
-$x_{t+1} = kx_t(1-x_i)$+---- 
 +=== Second Law of Thermodynamics ===
  
-==== Black-Scholes Equation ====+dS0
  
 +----
 +=== Relativity ===
 +
 +E=mc2
 +
 +----
 +=== Schrödinger’s Equation ===
 +
 +ihδδtΨ=HΨ
 +
 +
 +----
 +=== Information Theory ===
 +
 +H=p(x)+logp(x)
 +
 +----
 +=== Chaos Theory ===
 +
 +xt+1=kxt(1xi)
 +
 +----
 +=== Black-Scholes Equation ===
 +
 +12σ2S2δ2VδS2+rSδVδS+δVδtrV=0
 +
 +----
  
  • 17_equations.1714905932.txt.gz
  • Last modified: 2024-05-05 10:45
  • by nik