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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. The system consists of a particle that collides elastically between a
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.
The Ulam–Warburton cellular automaton (UWCA) is a 2-dimensional fractal pattern that grows on a regular grid of cells consisting of squares. Starting with one square initially ON and all others OFF, successive iterations are generated by turning ON all squares that share precisely one edge with an ON square. This is the von Neumann neighborhood.
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