Dr. Arnold provided a rigorous proof in 1963 for one set of circumstances.
Archimedes emphasizes that, though useful as a heuristic method, this procedure does not constitute a rigorous proof.
An early use of the new methods was a rigorous proof of the ergodic theorem by American mathematician George David Birkhoff in 1931.
In the past year Schwinger's conjecture was given a rigorous proof by Charles Fefferman of Princeton University and L.A. Seco of the University of Toronto.
Remarkable though his work was, it left a number of insights in need of a rigorous proof, and it provided no geometric picture of how the system behaved.
A rigorous proof, a notion first set forth by Euclid around 300 B.C., is a progression of logic, starting from assumptions and arriving at a conclusion.
It is possible to get a feel for why the number one is so common as a leading digit simply by writing down numbers and observing the patterns but, as Bellos notes, it is certainly not a rigorous proof.
Deduction, in logic, a rigorous proof, or derivation, of one statement (the conclusion) from one or more statements (the premises)—i.e., a chain of statements, each of which is either a premise or a consequence of a statement occurring earlier in the proof.
Even so, a rigorous proof of correctness is rarely forthcoming.
In this paper, we will give a rigorous proof of some arguments of Ishimura.
Unfortunately, there is no a rigorous proof of convergence to date.
