Copy Galilean and Special Relativity Equations
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A.5 Galilean and Special Relativity Equations - LaTeX
\( x' = x - vt \)
\( t' = t \)
\( u' = u - v \)
\( x' = \gamma (x - vt) \text{ where } \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \)
\( t' = \gamma \left( t - \frac{v x}{c^2} \right) \)
\( u' = \frac{u - v}{1 - \frac{u v}{c^2}} \)
\( (\Delta s)^2 = (c \Delta t)^2 - \Delta x^2 \)
\( \Delta t = \gamma \Delta t_0 \)
\( L = \frac{L_0}{\gamma} \)
\( \tan(\theta) = \frac{v}{c} \)
A.5 Galilean and Special Relativity - Basic
x' = x - vt
t' = t
u' = u - v
x' = γ(x - vt) where γ = 1/√(1 - v²/c²)
t' = γ(t - vx/c²)
u' = (u - v)/(1 - uv/c²)
(Δs)² = (cΔt)² - Δx²
Δt = γΔt₀
L = L₀/γ
tanθ = v/c