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The stability problem of functional equations originated from a question of Stanisław Ulam, posed in 1940, concerning the stability of group homomorphisms.In the next year, Donald H. Hyers [1] gave a partial affirmative answer to the question of Ulam in the context of Banach spaces in the case of additive mappings, that was the first significant breakthrough and a step toward more solutions ...
Hence U n ≤ U n−1 + U n−3 < 2U n−1 and U 1 = 1, U 2 = 2, U 3 = 3. This is a sufficient condition for Ulam numbers to be a complete sequence. For every integer n > 1 there is always at least one Ulam number U j such that n ≤ U j < 2n. Proof: It has been proved that there are infinitely many Ulam numbers and they start at 1.
In mathematical set theory, an Ulam matrix is an array of subsets of a cardinal number with certain properties. Ulam matrices were introduced by Stanislaw Ulam in his 1930 work on measurable cardinals : they may be used, for example, to show that a real-valued measurable cardinal is weakly inaccessible .
The Fermi–Ulam model (FUM) is a dynamical system that was introduced by Polish mathematician Stanislaw Ulam in 1961. FUM is a variant of Enrico Fermi 's primary work on acceleration of cosmic rays , namely Fermi acceleration .
Stanisław Marcin Ulam (Polish: [sta'ɲiswaf 'mart͡ɕin 'ulam]; 13 April 1909 – 13 May 1984) was a Polish mathematician, nuclear physicist and computer scientist. He participated in the Manhattan Project, originated the Teller–Ulam design of thermonuclear weapons, discovered the concept of the cellular automaton, invented the Monte Carlo method of computation, and suggested nuclear pulse ...
Ivy Mike, the first full test of the Teller–Ulam design (a staged fusion bomb), with a yield of 10.4 megatons (November 1, 1952). The Teller–Ulam design is a technical concept behind modern thermonuclear weapons, also known as hydrogen bombs.
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