Sentence examples for lead to bounds from inspiring English sources

Substantively important changes to the causal parameter due to small changes in the magnitude of the hidden bias can lead to bounds being placed on the causal estimand.

Therefore, the energy loss due to gas drag estimated above may lead to bound orbits.

A novel delay-dependent stabilizable criterion is presented by a quadratic Lyapunov function and the method of the variation of parameters to guarantee that bounded input can lead to bounded output.

The perturbations lead to bounded changes in the eigenvectors [ 54], while the identity matrix terms do not change the eigenvectors.

The operator norm derived by Theorem 4.2 leads to bounds for the embedding constant as in the following corollary.

We then estimate bounds for the operator norm (A_{q} (Omega )) of E satisfying begin{aligned} biglVert nabla (Eu )bigrVert _{L^{q} (mathbb{R}^{n} )}leq A_{q} ( Omega ) bigl Vert nabla uVert _{L^{q} (Omega )}+sigma^{1/q} Vert uVert _{L^{q} (Omega )} bigr), quadforall uin W^{1,q}( Omega), end{aligned} (3) which leads to bounds for the embedding constant.

It is shown that the generalized Weyl calculus on the hyperbolic matrix domains (defined by integration over a field of symmetries) leads to bounded operators when the symbol is "Laplace-bounded," i.e., remains bounded after certain invariant differential operators (higher Laplacians) are applied.

Solving this problem naturally leads to bounding the covariance.

For concept learning, the worst-case bounds lead to mistake bounds that are comparable to past results.

This choice can be seen to lead to lower bounds on the actual system performance.

The novel inequalities in Lemma 2 lead to tighter bounds than the Jensen inequality.