Sentence examples for numerical proof from inspiring English sources

Anyone with questions about the wisdom of drawing to an inside straight, for instance, can find numerical proof of the path's expected value.

This numerical proof of the stability is supported by numerical simulations showing practically unlimited number of steps of the stable Acrobot walking.

The Apastamba Sulba Sutra (ca. 600 BC) contains a numerical proof of the general Pythagorean theorem, using an area computation.

The exact solutions are validated through both mathematical proof and numerical comparisons with available p-Ritz solutions and the differential quadrature finite element method solutions calculated by the authors.

It has the pronounced advantages of mathematical proof of error bound, strong convergence, and ease of numerical implementation with the volume penalization technique.

Comparisons between the parameter perturbation method and the probabilistic approach from mathematical proofs and numerical simulations were performed.

The numerical results are in agreement with the mathematical proofs.

Finally, we close with some comments on the relevance of this paper to some recent "numerical based proofs" of the existence of nonunique solutions to Euler equations and to aerodynamic design.

The calculation of sound power radiated by a static sphere source gives the model and the numerical method additional proof of their validity.

Although we have no theoretical stability proof, numerical eigenvalue analysis suggests that the new schemes are strictly stable up to eleventh-order global accuracy for scalar linear advection equations.

The most important analytical results of this work are summarized as a theorem of existence and uniqueness of non-negative and bounded numerical solutions, whose proof relies on the non-singularity property of M-matrices, and the fact that the entries of the inverses of these matrices are positive real numbers.