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17_equations [2024-05-20 14:39] nik17_equations [2024-08-12 11:04] (current) nik
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 a2+b2=c2 a2+b2=c2
  
 +----
 === Logarithms === === Logarithms ===
  
 logxy=logx+logy logxy=logx+logy
  
 +----
 === Calculus === === Calculus ===
  
-$$\frac{\partial f}{\partial t} = \lim_{x\to\infty} =  \frac{f{(t+h)}- f{(t)}}{h}$$+$$\frac{\partial f}{\partial t} = \lim_{h\to\infty} =  \frac{f{(t+h)}- f{(t)}}{h}$$
  
  
 +----
 === Newton’s Law of Gravity === === Newton’s Law of Gravity ===
  
 Fgravity=Gm1m2r2 Fgravity=Gm1m2r2
  
 +----
 === Complex Numbers === === Complex Numbers ===
  
 i2=1 i2=1
  
 +----
 === Euler’s Formula for Polyhedra === === Euler’s Formula for Polyhedra ===
  
 +VE+F=2
 +----
 === Normal Distribution === === Normal Distribution ===
  
 +Φ(x)=12πρe(xμ)22ρ2
 +
 +----
 === Wave Equation === === Wave Equation ===
  
 +2ut2=c22ux2
 +
 +----
 === Fourier Transform === === Fourier Transform ===
  
 +f(ω)=f(x)e2πixωdx
 +
 +----
 === Navier-Stokes Equation === === Navier-Stokes Equation ===
  
 +ρ(dvdt+vv)=p+T+f
 +
 +----
 === Maxwell’s Equations === === Maxwell’s Equations ===
  
-$$\begin{aligned}   +$$\begin{aligned} 
-&\nabla\cdot\mathcal{E} = 0 +&\nabla\cdot\mathcal{E} = 0
 &\nabla\cdot\mathcal{H} = 0 &\nabla\cdot\mathcal{H} = 0
 \end{aligned}$$ \end{aligned}$$
  
-$$\begin{aligned} +$$\begin{aligned}
 &\nabla\times\mathcal{E} = - \frac{1}{c}\frac{\partial\mathcal{H}}{\partial t} &\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} &\nabla\times\mathcal{H} = - \frac{1}{c}\frac{\partial\mathcal{E}}{\partial t}
 \end{aligned}$$ \end{aligned}$$
  
 +----
 === Second Law of Thermodynamics === === Second Law of Thermodynamics ===
  
 dS0 dS0
  
 +----
 === Relativity === === Relativity ===
  
 E=mc2 E=mc2
  
-=== Schrodinger’s Equation ===+---- 
 +=== Schrödinger’s Equation ===
  
 +ihδδtΨ=HΨ
  
 +
 +----
 === Information Theory === === Information Theory ===
  
 H=p(x)+logp(x) H=p(x)+logp(x)
  
 +----
 === Chaos Theory === === Chaos Theory ===
  
 xt+1=kxt(1xi) xt+1=kxt(1xi)
  
 +----
 === Black-Scholes Equation === === Black-Scholes Equation ===
  
 +12σ2S2δ2VδS2+rSδVδS+δVδtrV=0
 +
 +----
  
  • 17_equations.1716215970.txt.gz
  • Last modified: 2024-05-20 14:39
  • by nik