Achievements
Radon is known for a number of lasting contributions, including:
- his part in the Radon–Nikodym theorem;
- the Radon measure concept of measure as linear functional;
- the Radon transform, in integral geometry, based on integration over hyperplanes — with application to tomography for scanners (see tomographic reconstruction);
- Radon's theorem, that d + 2 points in d dimensions may always be partitioned into two subsets with intersecting convex hulls
- the Radon–Hurwitz numbers.
- He is possibly the first to make use of the so called Radon–Riesz property.
Read more about this topic: Johann Radon
Famous quotes containing the word achievements:
“Like all writers, he measured the achievements of others by what they had accomplished, asking of them that they measure him by what he envisaged or planned.”
—Jorge Luis Borges (1899–1986)
“Freedom of enterprise was from the beginning not altogether a blessing. As the liberty to work or to starve, it spelled toil, insecurity, and fear for the vast majority of the population. If the individual were no longer compelled to prove himself on the market, as a free economic subject, the disappearance of this freedom would be one of the greatest achievements of civilization.”
—Herbert Marcuse (1898–1979)
“Our achievements speak for themselves. What we have to keep track of are our failures, discouragements, and doubts. We tend to forget the past difficulties, the many false starts, and the painful groping. We see our past achievements as the end result of a clean forward thrust, and our present difficulties as signs of decline and decay.”
—Eric Hoffer (1902–1983)