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:
“Fathers are still considered the most important “doers” in our culture, and in most families they are that. Girls see them as the family authorities on careers, and so fathers’ encouragement and counsel is important to them. When fathers don’t take their daughters’ achievements and plans seriously, girls sometimes have trouble taking themselves seriously.”
—Stella Chess (20th century)
“When science, art, literature, and philosophy are simply the manifestation of personality, they are on a level where glorious and dazzling achievements are possible, which can make a man’s name live for thousands of years. But above this level, far above, separated by an abyss, is the level where the highest things are achieved. These things are essentially anonymous.”
—Simone Weil (1909–1943)
“There are some achievements which are never done in the presence of those who hear of them. Catching salmon is one, and working all night is another.”
—Anthony Trollope (1815–1882)