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Both sides previous revision Previous revision Next revision | Previous revision | ||
17_equations [2024-05-20 14:39] – nik | 17_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 === | ||
+ | V−E+F=2 | ||
+ | ---- | ||
=== Normal Distribution === | === Normal Distribution === | ||
+ | Φ(x)=1√2πρe(x−μ)22ρ2 | ||
+ | |||
+ | ---- | ||
=== Wave Equation === | === Wave Equation === | ||
+ | ∂2u∂t2=c2∂2u∂x2 | ||
+ | |||
+ | ---- | ||
=== Fourier Transform === | === Fourier Transform === | ||
+ | f(ω)=∫∞∞f(x)e−2πixωdx | ||
+ | |||
+ | ---- | ||
=== Navier-Stokes Equation === | === Navier-Stokes Equation === | ||
+ | ρ(dvdt+v⋅v∇)=−∇p+∇⋅T+f | ||
+ | |||
+ | ---- | ||
=== Maxwell’s Equations === | === Maxwell’s Equations === | ||
- | $$\begin{aligned} | + | $$\begin{aligned} |
- | & | + | & |
& | & | ||
\end{aligned}$$ | \end{aligned}$$ | ||
- | $$\begin{aligned} | + | $$\begin{aligned} |
& | & | ||
& | & | ||
\end{aligned}$$ | \end{aligned}$$ | ||
+ | ---- | ||
=== Second Law of Thermodynamics === | === Second Law of Thermodynamics === | ||
dS≥0 | dS≥0 | ||
+ | ---- | ||
=== 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(1−xi) | xt+1=kxt(1−xi) | ||
+ | ---- | ||
=== Black-Scholes Equation === | === Black-Scholes Equation === | ||
+ | 12σ2S2δ2VδS2+rSδVδS+δVδt−rV=0 | ||
+ | |||
+ | ---- | ||