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17_equations [2024-05-05 10:35] – [Newton’s Law of Gravity] nik17_equations [2024-05-20 14:43] (current) nik
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-==== Pythagorean Theorem ====+=== Pythagorean Theorem ===
  
-$a^2 + b^2 = c^2$+$$a^2 + b^2 = c^2$$
  
-==== Logarithms ====+---- 
 +=== Logarithms ===
  
-$log{xy} = log{x} + log{y}$+$$log{xy} = log{x} + log{y}$$
  
-==== Calculus ====+---- 
 +=== Calculus ===
  
-==== Newton’s Law of Gravity ==== +$$\frac{\partial f}{\partial t} = \lim_{x\to\infty} =  \frac{f{(t+h)}- f{(t)}}{h}$$
-${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$ +
-==== Complex Numbers ====+
  
-$i^2=-1$ 
  
-==== Euler’s Formula for Polyhedra ====+---- 
 +=== Newton’s Law of Gravity ===
  
-==== Normal Distribution ====+$${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$
  
-==== Wave Equation ====+---- 
 +=== Complex Numbers ===
  
-==== Fourier Transform ====+$$i^2=-1$$
  
-==== Navier-Stokes Equation ====+---- 
 +=== Euler’s Formula for Polyhedra ===
  
-==== Maxwell’s Equations ====+---- 
 +=== Normal Distribution ===
  
-==== Second Law of Thermodynamics ====+---- 
 +=== Wave Equation ===
  
-$dS\geq0$+---- 
 +=== Fourier Transform ===
  
-==== Relativity ====+---- 
 +=== Navier-Stokes Equation ===
  
-$E=mc^2$+---- 
 +=== Maxwell’s Equations ===
  
-==== Schrodinger’s Equation ====+$$\begin{aligned}   
 +&\nabla\cdot\mathcal{E} 0  
 +&\nabla\cdot\mathcal{H} 
 +\end{aligned}$$
  
 +$$\begin{aligned} 
 +&\nabla\times\mathcal{E} = - \frac{1}{c}\frac{\partial\mathcal{H}}{\partial t}
 +&\nabla\times\mathcal{H} = - \frac{1}{c}\frac{\partial\mathcal{E}}{\partial t}
 +\end{aligned}$$
  
-==== Information Theory ====+---- 
 +=== Second Law of Thermodynamics ===
  
-$H=-\sum p(x) + log{p(x)}$+$$dS\geq0$$
  
-==== Chaos Theory ====+---- 
 +=== Relativity ===
  
-$x_{t+1} kx_t(1-x_i)$+$$E=mc^2$$
  
-==== Black-Scholes Equation ====+---- 
 +=== Schrodinger’s Equation === 
 + 
 + 
 +---- 
 +=== Information Theory === 
 + 
 +$$H=-\sum p(x) + log{p(x)}$$ 
 + 
 +---- 
 +=== Chaos Theory === 
 + 
 +$$x_{t+1} = kx_t(1-x_i)$$ 
 + 
 +---- 
 +=== Black-Scholes Equation ===
  
  
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