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17_equations [2024-05-05 11:08] – nik | 17_equations [2024-08-12 11:04] (current) – nik | ||
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- | ==== Pythagorean Theorem | + | === Pythagorean Theorem === |
- | ==== Logarithms | + | ---- |
+ | === Logarithms === | ||
- | ==== 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 === | ||
- | ==== Complex Numbers | + | ---- |
+ | === Complex Numbers === | ||
- | ==== Euler’s Formula for Polyhedra | + | ---- |
+ | === Euler’s Formula for Polyhedra === | ||
- | ==== Normal Distribution | + | $$V-E+F=2$$ |
+ | ---- | ||
+ | === Normal Distribution === | ||
- | ==== Wave Equation ==== | + | $$\Phi(x)= \frac{1}{\sqrt{2\pi\rho}} e^{\frac{(x-\mu)^2}{2\rho^2}}$$ |
- | ==== Fourier Transform ==== | + | ---- |
+ | === Wave Equation | ||
- | ==== Navier-Stokes Equation ==== | + | $$\frac{\partial^2 u}{\partial t^2} = c^2 \frac{\partial^2 u}{\partial x^2}$$ |
- | ==== Maxwell’s Equations ==== | + | ---- |
+ | === Fourier Transform | ||
- | $$\begin{aligned} | + | |
- | & | + | |
+ | ---- | ||
+ | === Navier-Stokes Equation === | ||
+ | |||
+ | |||
+ | |||
+ | ---- | ||
+ | === Maxwell’s Equations === | ||
+ | |||
+ | $$\begin{aligned} | ||
+ | & | ||
& | & | ||
\end{aligned}$$ | \end{aligned}$$ | ||
- | $$\begin{aligned} | + | $$\begin{aligned} |
& | & | ||
& | & | ||
\end{aligned}$$ | \end{aligned}$$ | ||
- | ==== Second Law of Thermodynamics | + | ---- |
+ | === Second Law of Thermodynamics === | ||
- | ==== Relativity | + | ---- |
+ | === Relativity === | ||
- | ==== Schrodinger’s Equation | + | ---- |
+ | === Schrödinger’s Equation === | ||
+ | |||
- | ==== Information Theory | + | |
+ | ---- | ||
+ | === Information Theory === | ||
- | ==== Chaos Theory | + | ---- |
+ | === Chaos Theory === | ||
- | ==== Black-Scholes Equation ==== | + | ---- |
+ | === Black-Scholes Equation === | ||
+ | |||
+ | $$\frac{1}{2}\sigma^2S^2 \frac{\delta^2 V}{\delta S^2} + rS \frac{\delta V}{\delta S} + \frac{\delta V}{\delta t} - rV = 0$$ | ||
+ | ---- | ||