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Discover Ludwig"proved based on" is correct and usable in written English.
You can use it to indicate that something has been proven due to the existence of certain evidence or facts. For example, "The criminal's guilt was proved based on his fingerprints, which matched those found at the scene of the crime."
Exact(35)
High-ranking Nazi officers were often charged with lesser offenses only because their direct responsibility for the killing of one or more individuals could not be proved based on the narrow German jurisdiction.
Then, the asymptotic stability of the system is proved based on the Lyapunov method.
Existence and equivalence of the solution are analyzed and proved based on Brouwer fixed point theorem.
The convergence of the switching control is proved based on state sample trajectories.
The significance of velocity uniformity is proved based on the analysis and experiment.
The stability of the proposed scheme is proved based on the Lyapunov analysis method.
Similar(25)
The stability of the closed-loop system is proven based on Lyapunov theory.
Finite time convergence of the system with disturbances is proven based on the homogeneity principles.
The stability of the closed-loop system is proven based on the Lyapunov theory.
Then the output regulation is proven based on the stability of closed-loop systems.
"We have proven, based on the debris alone, where the breach was," said the official, Michael D. Leinbach, who is also the shuttle launching director.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com