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| Both sides previous revision Previous revision Next revision | Previous revision | ||
| 17_equations [2024-05-05 11:08] – nik | 17_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 === | ||
| $$\frac{\partial f}{\partial t} = \lim_{x\to\infty} = \frac{f{(t+h)}- f{(t)}}{h}$$ | $$\frac{\partial f}{\partial t} = \lim_{x\to\infty} = \frac{f{(t+h)}- f{(t)}}{h}$$ | ||
| - | ==== Newton’s Law of Gravity | + | ---- |
| + | === Newton’s Law of Gravity === | ||
| $${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$ | $${F}_\text{gravity}=G\frac{m_{1}m_{2}}{r^{2}}$$ | ||
| - | ==== Complex Numbers | + | ---- |
| + | === Complex Numbers === | ||
| $$i^2=-1$$ | $$i^2=-1$$ | ||
| - | ==== Euler’s Formula for Polyhedra | + | ---- |
| + | === Euler’s Formula for Polyhedra === | ||
| - | ==== Normal Distribution | + | ---- |
| + | === Normal Distribution === | ||
| - | ==== Wave Equation | + | ---- |
| + | === Wave Equation === | ||
| - | ==== Fourier Transform | + | ---- |
| + | === Fourier Transform === | ||
| - | ==== Navier-Stokes Equation | + | ---- |
| + | === Navier-Stokes Equation === | ||
| - | ==== Maxwell’s Equations | + | ---- |
| + | === Maxwell’s Equations === | ||
| $$\begin{aligned} | $$\begin{aligned} | ||
| Line 47: | Line 57: | ||
| \end{aligned}$$ | \end{aligned}$$ | ||
| - | ==== Second Law of Thermodynamics | + | ---- |
| + | === Second Law of Thermodynamics === | ||
| $$dS\geq0$$ | $$dS\geq0$$ | ||
| - | ==== Relativity | + | ---- |
| + | === Relativity === | ||
| $$E=mc^2$$ | $$E=mc^2$$ | ||
| - | ==== Schrodinger’s Equation | + | ---- |
| + | === Schrodinger’s Equation === | ||
| - | ==== Information Theory | + | ---- |
| + | === Information Theory === | ||
| $$H=-\sum p(x) + log{p(x)}$$ | $$H=-\sum p(x) + log{p(x)}$$ | ||
| - | ==== Chaos Theory | + | ---- |
| + | === Chaos Theory === | ||
| $$x_{t+1} = kx_t(1-x_i)$$ | $$x_{t+1} = kx_t(1-x_i)$$ | ||
| - | ==== Black-Scholes Equation | + | ---- |
| + | === Black-Scholes Equation === | ||
nik