Sentence examples for proof is established from inspiring English sources
"proof is established" is correct and usable in written English
You can use it whenever you want to indicate that evidence has been provided to confirm a fact or theory. For example, "The court decided that proof was established that the defendant was guilty."
Rigorous convergence proof is established for the hybrid approach, and practical implementation is discussed.
The proof is established by exploiting some a priori estimates and using a fixed point argument.
The proof is established by using a dichotomy in the dynamics of the structure to which small components are added, and by applying the singular perturbation method.
Based on the Markov chain, the recursion of the input error is reformulated as a switching system, and then a novel convergence proof is established in the almost sure sense under mild design conditions.
No solid proof is established.
Though no direct proof was established, within 10 years Roosevelt's population was nearly all black.
They raise the prospect of suspects being tried, convicted, and even executed with no appearance before an independent judicial tribunal, no right to appeal, no right to a public trial, no presumption of innocence, no right to confront evidence or testimony against them, and no requirement that proof be established beyond a reasonable doubt.
In the remote authentication mode, Merkle hash tree based selective disclosure mechanism is designed to improve the structure of data fields in the certificate, and a yoking-proof is established to realize interactions between two wearable devices and a smart phone, and is further transmitted to the cloud server for simultaneous verification.
The claimed convergence-rates proofs are established.
The main results and proofs are established in Section 3. Let be a Hilbert space and a Banach space densely embedded in.
Given a control architecture and the functional specification of each controller module, formal proofs are established and discharged to demonstrate the logical equivalence between the functional specification and the code implementation of logic controllers.
