Sentence examples for proved rigorously from inspiring English sources

This result can be proved rigorously but involves more mathematics.

The properties of compound chaotic functions are also proved rigorously.

The properties of dynamical compound chaotic functions and LFSR are also proved rigorously.

The unconditional stability and L2 norm convergence of the ADI scheme are proved rigorously.

Global asymptotic stability of the desired equilibrium position is proved rigorously.

All the above methods have been proved rigorously according to the stability theory of fractional-order system.

In particular, Young's law for the contact angles in triple junction formation is proven rigorously.

These conservation/dissipation properties are proven rigorously in the very nonlinear setting of multiplicative finite strain plasticity.

Also, the necessary and sufficient operating conditions for power recirculation in two-input transmissions are proven rigorously.

When the matter fields are heavy the dualities reduce at long distance to the level-rank dualities between Chern-Simons theories, which we prove rigorously.

In particular, we prove rigorously that the proposed design method encompasses the well-known extended-LMI-based design methods as particular cases.