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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.
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 ...
This seasoned steak accompanied by broccolini, peas and a savory mushroom sauce feels elegant, but it’s still easy enough to make in one pan. It also packs 26 grams of protein per serving. It ...
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
Add the garlic and Italian seasoning and cook, stirring constantly, until fragrant, about 1 minute. Add the tomato sauce and broth and bring to a low boil. Reduce the heat to medium-low and let ...
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 .
Ulam's game, or the Rényi–Ulam game, is a mathematical game similar to the popular game of twenty questions. In Ulam's game, a player attempts to guess an unnamed object or number by asking yes–no questions of another, but one of the answers given may be a lie.
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 ...