Omniverse · Math Explorer

λ\lambda^*surface,probed.

Probe the bounded optimal-activeness curve λ(P)\lambda^*(P) across probability PP and informed-flow γ\gamma. The kernel is monotonic, tanh-bounded and attested by the protocol oracle.

Probability · PP0.500
0.0100.990
Governance · γ\gamma2.00
0.506.00
Derived Surface
λ@P\lambda^*@P0.0503
γ\gamma2.00
λ(0)\lambda^*(0)0.0500
λ(1)\lambda^*(1)0.0500
λ/P\partial\lambda^*/\partial P0.000
01λdP\int_0^1 \lambda^* dP0.2346
Optimal Activeness · λ*(P)N-Curve · 240 Samples
0.000.250.500.751.000.000.250.500.751.00
P0.500
λ*(P)0.0503
Boundedtanh
RegimeNEUTRAL