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)
“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)
“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)