Alternative names (10)
curveEquation • equation • equationForm • equationType • has key equation • hasEquationForm • hasFunctionalEquation • hasKeyEquation • keyEquation • mainEquationRandom triples
| Subject | Object |
|---|---|
| gptkb:Hall–Petch_relationship | σy = σ0 + k*d^(-1/2) |
| gptkb:inner_Soddy_circle | radius = (r1*r2*r3)/(r1*r2 + r2*r3 + r3*r1 + 2*sqrt(r1*r2*r3*(r1 + r2 + r3))) (where r1, r2, r3 are excircle radii) |
| gptkb:Debye-Hückel_limiting_law | log γ± = -A z+ z- √I |
| gptkb:Mandelbrot_set | z_{n+1} = z_n^2 + c |
| gptkb:Majda's_model | u_t + f(u)_x = qz |
| gptkb:Stochastic_Calculus | Stochastic chain rule |
| gptkb:Kramers'_opacity_law | κ ∝ ρ T^{-7/2} |
| gptkb:Gompertz_law_of_mortality | μ(x) = Ae^{Bx} |
| gptkb:Yang–Mills_theory | Yang–Mills equations |
| gptkb:Cassini_ovals | (x^2 + y^2)^2 - 2c^2(x^2 - y^2) + c^4 = a^4 |
| gptkb:E_7_singularity | x^2 + y^3 + yz^3 = 0 |
| gptkb:Euler's_gamma_function | Γ(z+1) = zΓ(z) |
| gptkb:Elliptic_Curves | y^2 = x^3 + ax + b |
| gptkb:Radical_Axis | The set of points P such that PA^2 - r1^2 = PB^2 - r2^2, where A and B are centers, r1 and r2 are radii |
| gptkb:Fluid_mechanics | gptkb:Reynolds_number |
| gptkb:Epstein_zeta_function | Yes |
| gptkb:Minkowski_spacetime | ds^2 = c^2dt^2 - dx^2 - dy^2 - dz^2 |
| gptkb:gyroid | sin(x)cos(y) + sin(y)cos(z) + sin(z)cos(x) = 0 |
| gptkb:Eisenstein_series | yes |
| gptkb:outer_Soddy's_circle | k4 = k1 + k2 + k3 - 2√(k1k2 + k2k3 + k3k1) |