He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof, many now also consider Jordan's original proof rigorous.
42.
In 1997, Anderson and Brill gave a rigorous proof that geon solutions of the vacuum Einstein equation exist, though they are not given in a simple closed form.
43.
Cohen's faculty advisor, Leonard Adleman, presented a rigorous proof that, in the general case, algorithmic determination of the presence of a virus is undecidable.
44.
His choice to avoid any appeal to graphical visualization was, no doubt, motivated by a desire for a well-founded, completely rigorous proof owing nothing to pictures.
45.
It was the first complete and rigorous proof of the theorem, and was also the first proof to generalize the fundamental theorem of algebra to include polynomials with complex coefficients.
46.
Then he used these theorems to give rigorous proofs of theorems proven by Fisher and Hotelling related to Fisher's maximum likelihood estimator for estimating a parameter of a distribution.
47.
Doob recognized that this would make it possible to give rigorous proofs for existing probability results, and he felt that the tools of measure theory would lead to new probability results.
48.
The first rigorous proof was given by, and an algebraic proof for all fields of characteristic 0 was given by . gave a proof for surfaces of non-zero characteristic.
49.
His SYN-based complaint is that we should cite DeVocht 2006 ( PMID 16523145 ) to support the claim " many other medical procedures also lack rigorous proof of effectiveness ".
50.
The one shape that is perfectly convex and symmetrical is the circle, although this, in itself, does not represent a rigorous proof of the isoperimetric theorem ( see external links ).
