Sentence examples for rigorously shown from inspiring English sources

Caroline Hoxby has rigorously shown good charter results in New York and Chicago.

A method of teaching fifth-grade math that has been rigorously shown to be highly effective for the students and teachers in one school district may well not work for the students and teachers in another.

The feedback control laws are rigorously shown to produce only time-optimal trajectories, by constructing a regular synthesis for each control law.

The second-order formulation has further been rigorously shown to be unconditionally stable for linear hyperbolic and parabolic equations in two-dimensional space.

"No forensic method has been rigorously shown to have the capacity to consistently, and with a high degree of certainty, demonstrate a connection between evidence and a specific individual or source," the panel wrote.

The possible reduction of the 3D-sliding dynamics to that of certain topologically equivalent planar standard vector field is emphasized so that the existence of Hopf bifurcations in the ideal sliding dynamics can be rigorously shown.

In this subsection, we rigorously show that when (R_{0}<1), the infection-free equilibrium (P_{0}) is globally asymptotically stable in Γ.

In this paper, we rigorously show the existence of chaos in a simple delay difference equation, which illustrates that the discrete analog of system (1) indeed has very complicated dynamical behaviors.

We then rigorously show that ERKN methods are a natural extension of RKN methods, that is, there exists an epimorphism η of the ERKN group Ω onto the RKN group G.

Firstly, we rigorously show that MPC based on quadratic stage costs may fail, i.e., there does not exist a prediction horizon length such that a (controlled) equilibrium is asymptotically stable for the MPC closed loop although the system is, e.g., finite time controllable.

It turns out, as we rigorously show, that this method is equivalent to subtracting the population mean of allele counts.