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Term in mathematical set theory
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
Ulam_matrix
Polish mathematician and physicist (1909–1984)
Stanisław Marcin Ulam (Polish: [sta'ɲiswaf 'mart͡ɕin 'ulam]; 13 April 1909 – 13 May 1984) was a Polish and, later an American mathematician who made important
Stanisław_Ulam
conjecture Kelly–Ulam conjecture, or reconstruction conjecture Ulam's packing conjecture Ulam matrix Ulam numbers Ulam spiral Ulam's game Ulam–Warburton cellular
List of things named after Stanislaw Ulam
List_of_things_named_after_Stanislaw_Ulam
Apparent paradox in chaos theory
In physics, the Fermi–Pasta–Ulam–Tsingou (FPUT) problem or formerly the Fermi–Pasta–Ulam problem was the apparent paradox in chaos theory that many complicated
Fermi–Pasta–Ulam–Tsingou problem
Fermi–Pasta–Ulam–Tsingou_problem
Stochastic matrix representing links between entities
the Google matrix of various directed networks is shown in Fig.3 from and Fig.4 from. The Google matrix can be also constructed for the Ulam networks generated
Google_matrix
Set-theoretic concept
successor cardinal, this result is due to Ulam and is easily shown by means of what is called an Ulam matrix. H. Friedman has shown that for every countable
Stationary_set
Hungarian and American mathematician and physicist (1903–1957)
1971, p. 18. Pais 2006, p. 108. Ulam 1976, pp. 231–232. Ulam 1958, pp. 5–6. Szanton 1992, p. 277. Blair 1957, p. 93. Ulam 1976, pp. 97, 102, 244–245. Rota
John_von_Neumann
Natural number
316 is also an Ulam number and a member of one Tetranacci sequence. It appears in counting asymmetric polyominoes and binary-matrix involutions. "Factors
316_(number)
Probabilistic problem-solving algorithm
obtaining numerical results, conceptualized by Polish mathematician Stanisław Ulam. The underlying concept is to use randomness to solve deterministic problems
Monte_Carlo_method
the minimum possible cardinality of an ultrafilter base Ulam 1. Stanislaw Ulam 2. An Ulam matrix is a collection of subsets of a cardinal indexed by pairs
Glossary_of_set_theory
Algorithm for determining similar regions between two molecular sequences
substitution matrix and the gap-scoring scheme). The main difference to the Needleman–Wunsch algorithm is that negative scoring matrix cells are set
Smith–Waterman_algorithm
Arithmetic operation
square matrix, then the product of A with itself n times is called the matrix power. Also A 0 {\displaystyle A^{0}} is defined to be the identity matrix, and
Exponentiation
Property that assigns truth values to k-tuples of individuals
Berkeley, CA. Ulam, S.M. (1990), A.R. Bednarek; Françoise Ulam (eds.), Analogies Between Analogies: The Mathematical Reports of S.M. Ulam and His Los Alamos
Finitary_relation
Computational science history
Nonsymmetric Matrix" (PDF). Journal of the ACM. 5 (4): 339–342. doi:10.1145/320941.320947. MR 0111128. S2CID 9858625. Fermi, E. (posthumously); Pasta, J.; Ulam, S
Timeline of scientific computing
Timeline_of_scientific_computing
Scatter plot Skewplot Ternary plot Recurrence plot Waterfall chart Violin plot Ulam spiral Nomogram Fitness landscape Weather map Predominance diagram One-line
List_of_graphical_methods
Vector space with generalized dot product
∈ V . {\displaystyle x,y\in V.} All isometries are injective. The Mazur–Ulam theorem establishes that every surjective isometry between two real normed
Inner_product_space
Distance-preserving mathematical transformation
does not need to be injective. The following theorem is due to Mazur and Ulam. Definition: The midpoint of two elements x and y in a vector space is the
Isometry
American theoretical physicist (1911–2008)
there was no practical design for a hydrogen bomb. Calculations by Stanisław Ulam and others showed that Teller's "Classical Super" would not work. Teller
John_Archibald_Wheeler
Discrete model of computation
automaton. The concept was originally conceived in the 1940s by Stanislaw Ulam and John von Neumann while they were contemporaries at Los Alamos National
Cellular_automaton
Natural number
zero rows and with exactly 4 entries equal to 1. 339 = 3 × 113. It is an Ulam number. 340 = 22 × 5 × 17. It is a noncototient and a nontotient. It is the
300_(number)
Randomly determined process
method is a stochastic method popularized by physics researchers Stanisław Ulam, Enrico Fermi, John von Neumann, and Nicholas Metropolis. The use of randomness
Stochastic
Numbers obtained by adding the two previous ones
^{n}-(-\varphi )^{-n}}{\sqrt {5}}}.} The matrix A has a determinant of −1, and thus it is a 2 × 2 unimodular matrix. This property can be understood in terms
Fibonacci_sequence
Recursive integer sequence
number of ways of associating n applications of a binary operator (as in the matrix chain multiplication problem). For n = 3, for example, we have the following
Catalan_number
American herpetologist (1883–1968)
arrangement of primes not unlike Ulam's spiral. In 1932, Klauber presented a paper on a triangular, non-spiral matrix to the Mathematical Association of
Laurence_Monroe_Klauber
packing in a square: what is the asymptotic growth rate of wasted space? Ulam's packing conjecture about the identity of the worst-packing convex solid
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical sequences in combinatorics
understood to be matrix inverse relationships. That is, let s be the lower triangular matrix of Stirling numbers of the first kind, whose matrix elements s
Stirling_number
Count of permutations by cycles
H_{n}^{(2)}=\left[{\begin{matrix}n+1\\2\end{matrix}}\right]^{2}-2\left[{\begin{matrix}n+1\\1\end{matrix}}\right]\left[{\begin{matrix}n+1\\3\end{matrix}}\right]} ( n
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Reaction that combines atomic nuclei
to this jump was the full utilization of the fission blast by the Teller–Ulam design.[citation needed] The Soviet Union had begun their focus on a hydrogen
Nuclear_fusion
that it is an isometry in the sense of metric spaces, and use the Mazur–Ulam theorem to show that T is affine, and so T − T ( 0 ) {\displaystyle T-T(0)}
Banach–Stone_theorem
Mathematical function, denoted exp(x) or e^x
Jung, Soon-Mo (2011). "Chapter 9: Exponential Functional Equations". Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis. Springer
Exponential_function
Two-dimensional cellular automaton
simulated. Cellular automata have their origins in the work of Stanisław Ulam and John von Neumann in the 1940s. Development continued through the 1950's
Conway's_Game_of_Life
theorem (semigroup theory) Marcinkiewicz theorem (functional analysis) Mazur–Ulam theorem (normed spaces) Mercer's theorem (functional analysis) Min-max theorem
List_of_theorems
Kind of stochastic process
vab032. ISBN 978-0-471-89997-6. Ulam, S. M. (1990). Analogies Between Analogies: The mathematical reports of S. M. Ulam and his Los Alamos collaborators
Branching_process
broader mathematical community. 1933 – Karol Borsuk and Stanislaw Ulam present the Borsuk–Ulam antipodal-point theorem. 1933 – Andrey Nikolaevich Kolmogorov
Timeline_of_mathematics
Set of distances defined from a set of points
Although partial results are known, the conjecture remains unproven. The Erdős–Ulam problem asks whether it is possible to have a dense set in the Euclidean
Distance_set
Mathematical model of waves on a shallow water surface
also made the connection to earlier numerical experiments by Fermi, Pasta, Ulam, and Tsingou by showing that the KdV equation was the continuum limit of
Korteweg–De_Vries_equation
10 algorithms of the 20th century) invented at Los Alamos by von Neumann, Ulam and Metropolis. Dantzig introduces the simplex algorithm (voted one of the
Timeline of computational mathematics
Timeline_of_computational_mathematics
American theoretical physicist (1904–1967)
were well known. In 1951, Teller and mathematician Stanislaw Ulam developed the Teller–Ulam design for a hydrogen bomb. This new design seemed technically
J._Robert_Oppenheimer
Type of group in abstract algebra
independently Schreier–Ulam (1934). For more details see (Scott 1987, Ch. 11.3). That result, often called the Schreier-Ulam theorem, is superseded by
Symmetric_group
16th season of top division league in Indonesia
None PSBS Marian Mihail Sandro Sakho RMB Apparel Bank Papua4 List Front: Ulam Laut5 Back: SIMANJA5 Sleeves: None Shorts: None PSIM Jean-Paul van Gastel
2025–26 Super League (Indonesia)
2025–26_Super_League_(Indonesia)
Interaction of multiple waves in a nonlinear system
continuous-media system, does not have a three-wave interaction. The Fermi–Pasta–Ulam–Tsingou problem, a discrete-media system, does not have a three-wave interaction
Resonant_interaction
American mathematics and science writer (1914–2010)
Singmaster Jerry Slocum Raymond Smullyan Ian Stewart W. T. Tutte Stanislaw Ulam Samuel Yates Nob Yoshigahara These new ciphers are not absolutely unbreakable
Martin_Gardner
Number used to approximate the square root of 2
consequence of the matrix formula (found by considering the determinants of the matrices on the left and right sides of the matrix formula). Pell numbers
Pell_number
Super-Poulet number. 1388 = 4 × 192 - 3 × 19 + 1 and is therefore on the x-axis of Ulams spiral 1389 = sum of first 42 composite numbers 1390 = sum of first 43 nonprimes
1000_(number)
Mathematical formula for the number of Young tableaux
{\displaystyle 2{\sqrt {n}}} . This answers a question originally posed by Stanislaw Ulam. The proof is based on translating the question via the Robinson–Schensted
Hook_length_formula
a string, a problem suggested by Enrico Fermi, John Pasta, and Stanislaw Ulam. They discovered a paradox whereby a system expected to thermalise instead
Women_in_computing
Tuza Twin prime conjecture number theory n/a 1700 Ulam's packing conjecture packing Stanislaw Ulam Unicity conjecture for Markov numbers number theory
List_of_conjectures
Mathematical game on a topological space
Some other notable topological games are: the binary game introduced by Ulam — a modification of the Banach–Mazur game; the Banach game — played on a
Topological_game
Anglo-Australian physicist (1924–2000)
at Aldermaston. There, he independently derived a version of the Teller–Ulam design, for which he has been called the "father of the British H-bomb".
John_Clive_Ward
Conditions for switching order of integration in calculus
Fubini's theorem for distributions, that is, generalized functions Kuratowski–Ulam theorem – analog of Fubini's theorem for arbitrary second countable Baire
Fubini's_theorem
10 algorithms of the 20th century) invented at Los Alamos by von Neumann, Ulam and Metropolis. Crank–Nicolson method was developed by Crank and Nicolson
Timeline of numerical analysis after 1945
Timeline_of_numerical_analysis_after_1945
Nuclear spacecraft propulsion technology
to 4.5 times greater than those of chemical rockets. In 1944, Stanisław Ulam and Frederic de Hoffmann contemplated the idea of controlling the power of
Nuclear_thermal_rocket
Football league season
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Algebraic structure associated with a topological space
for any k ≥ 1 {\displaystyle k\geq 1} ) vanishes at some point. The Borsuk–Ulam theorem: any continuous function from an n-sphere into Euclidean n-space
Homology_(mathematics)
John von Neumann. American Mathematical Society. ISBN 978-0-8218-4219-5. Ulam, Stanislaw (1958). "John von Neumann 1903-1957" (PDF). Bull. Amer. Math.
List of awards and honors received by John von Neumann
List_of_awards_and_honors_received_by_John_von_Neumann
Field of knowledge
study non-analytic topics of mathematical science, especially algorithmic-matrix-and-graph theory. Other areas of computational mathematics include computer
Mathematics
2014-10-05. Retrieved 2014-10-29. "Stephen Few-Perceptual Edge-Graph Selection Matrix" (PDF). Archived (PDF) from the original on 2014-10-05. Retrieved 2014-10-29
Data_analysis
Type of figurate number
s-polygonal number between 1 and 1000 clickable for 2<=s<=337 Polygonal Numbers on the Ulam Spiral grid on YouTube Polygonal Number Counting Function
Polygonal_number
Concept in measure theory
space, then every finite measure on X {\displaystyle X} is tight; this is Ulam's theorem. Furthermore, by Prokhorov's theorem, a collection of probability
Tightness_of_measures
Indian theoretical physicist
(1 July 2013). "Nonlinear normal modes and quanta in the β Fermi-Pasta-Ulam lattice". The European Physical Journal Special Topics. 222 (3): 601–608
Sudhir_Ranjan_Jain
Mathematical model of the time dependence of a point in space
The Pomeau–Manneville scenario of the logistic map and the Fermi–Pasta–Ulam–Tsingou problem arose with just second-degree polynomials; the horseshoe
Dynamical_system
Size of a geometric arrangement of points
6 6 6 6 6 6 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 {\displaystyle {\begin{matrix}1&2&3&4&5&6&7&8\\2&2&3&4&5&6&7&8\\3&3&3&4&5&6&7&8\\4&4&4&4&5&6&7&8\\5&5
Figurate_number
the reactivity of various molecules, and contains two community codes R-matrix suite and MCTDH wavepacket dynamics. The project is supported by the Atomic
Collaborative Computational Project Q
Collaborative_Computational_Project_Q
Computer simulations to discover and understand chemical properties
choices of force laws. Today, this seminal work is known as the Fermi–Pasta–Ulam–Tsingou problem. The time evolution of the energy from the original work
Molecular_dynamics
Numbers parameterizing ways to partition a set
\left\lbrace {\begin{matrix}n\\k\end{matrix}}\right\rbrace ={\frac {k^{n}}{k!}}-\sum _{r=1}^{k-1}{\frac {\left\lbrace {\begin{matrix}n\\r\end{matrix}}\right\rbrace
Stirling numbers of the second kind
Stirling_numbers_of_the_second_kind
Model for the potential energy of a diatomic molecule
\alpha +1,z)~.} There also exists the following analytical expression for matrix elements of the coordinate operator: ⟨ Ψ m | x | Ψ n ⟩ = 2 ( − 1
Morse_potential
Numerical simulations of physical problems via computers
differential equations (using e.g. finite difference method and relaxation method) matrix eigenvalue problem (using e.g. Jacobi eigenvalue algorithm and power iteration)
Computational_physics
Fermionic condensate Fermionic field Fermi–Dirac statistics Fermi–Pasta–Ulam–Tsingou problem Fermi–Walker differentiation Fermi–Walker transport Fernand
Index_of_physics_articles_(F)
molecular physics, partially named after Inga Fischer-Hjalmars Fermi–Pasta–Ulam–Tsingou problem in chaos theory, partially named after Mary Tsingou. Frenkel–Kontorova
Women_in_physics
U.S. project to build a nuclear thermal rocket
including Stan Ulam, Frederick Reines and Frederic de Hoffmann, speculated about the development of nuclear-powered rockets, and in 1947, Ulam and Cornelius
Project_Rover
Number of orderings allowing ties
infinite matrix ( 2 I − P ) − 1 {\displaystyle (2I-P)^{-1}} . Here I {\displaystyle I} is the identity matrix and P {\displaystyle P} is an infinite matrix form
Ordered_Bell_number
Football league season
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Number, product of consecutive integers
hexagonal number. Since the number of off-diagonal entries in a square matrix is twice a triangular number, it is a pronic number. The partial sum of
Pronic_number
Soviet Union Stanisław Ulam (1909–1984), mathematician who participated in the Manhattan Project and proposed the Teller–Ulam design of thermonuclear
List_of_Polish_Americans
Number of stacked spheres in a pyramid
shapes, etc. More abstractly, when permutations of the rows or columns of a matrix are considered as equivalent, the number of 2 × 2 {\displaystyle 2\times
Square_pyramidal_number
African-American history and author John J. Uicker, mechanical engineer Stanislaw Ulam, mathematician who joined the Manhattan Project during World War II Harry
List of University of Wisconsin–Madison people
List_of_University_of_Wisconsin–Madison_people
the original algorithm was invented by Enrico Fermi and reinvented by Stan Ulam. Moore's Law Newton's first and second laws of mechanics were known and proposed
List of examples of Stigler's law
List_of_examples_of_Stigler's_law
Number of paths between grid corners, allowing diagonal steps
family of numbers, the Schröder numbers. The Delannoy array is an infinite matrix of the Delannoy numbers: In this array, the numbers in the first row are
Delannoy_number
Edward Teller, physicist and "father of the hydrogen bomb", and Stanislaw Ulam, mathematician, are reported to have written jointly in March 1951 a classified
Timeline_of_quantum_mechanics
Mathematical sequence
approach tremendously speeds up optimization problems. Stirling numbers Pascal matrix Lah, Ivo (1954). "A new kind of numbers and its application in the actuarial
Lah_number
Israeli molecular biophysicist
Adjunct Professor of Lomonosov Moscow State University (1999) The Stanislaw Ulam Memorial Lecture at the 2003 RECOMB meeting, Berlin (2003) Mendel Lecture
Edward_Trifonov
Nonlinear and periodic surface wave on an inviscid fluid layer of constant mean depth
experimentally – that the Stokes wave and its side bands exhibit Fermi–Pasta–Ulam–Tsingou recurrence: a cyclic alternation between modulation and demodulation
Stokes_wave
resonance Suspension plasma spray Synchrotron light source Taylor state Teller–Ulam design, Foam plasma pressure Tesla coil Test particle, in plasma physics
List of plasma physics articles
List_of_plasma_physics_articles
Number sequence 3,0,2,3,2,5,5,7,10,...
\end{aligned}}} The Perrin numbers are obtained as integral powers n ≥ 0 of the matrix ( 0 1 0 0 0 1 1 1 0 ) n ( 3 0 2 ) = ( P ( n ) P ( n + 1 ) P ( n + 2 ) )
Perrin_number
Football league season
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Mathematical integer sequence
) {\displaystyle (2n-1)\times (2n-1)} Hankel matrix of the Schröder numbers, that is, the square matrix whose ( i , j ) {\displaystyle (i,j)} th entry
Schröder_number
Computational tools for science
information which has been used in publications such as 'Recent developments in R-matrix applications to molecular processes' and 'Ab initio derivation of Hubbard
CCPForge
Football league season
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ULAM MATRIX
ULAM MATRIX
Surname or Lastname
English
English : habitational name for someone from a place called Elham, in Kent, or a lost place of this name in Crayford, Kent. The first is derived from Old English Ç£l ‘eel’ + hÄm ‘homestead’ or hamm ‘enclosure hemmed in by water’. There is also an Elam Grange in Bingley, West Yorkshire, but the current distribution of the name in the British Isles suggests that it did not contribute significantly to the surname.
Girl/Female
Arabic, Muslim
World; Sing; Of Alameen
Biblical
the porch; the court; their strength; their folly
Boy/Male
Biblical
The porch, the court, their strength, their folly.
Female
Hebrew
(עוּלָ×) Variant spelling of Hebrew unisex Ulla, ULA means "yoke." Compare with other forms of Ula.
Boy/Male
Indian
Universe
Boy/Male
Muslim
Universe
Boy/Male
Tamil
Clam and beautiful
Male
English
Anglicized form of Hebrew Eylam, ELAM means "boundless time, eternity." In the bible, this is the name of many characters, including the eldest son of Shem.Â
Male
Hebrew
(עוּלָ×) Variant spelling of Hebrew unisex Ulla, ULA means "yoke." Compare with strictly feminine forms of Ula.
Boy/Male
Muslim
World. Universe.
Boy/Male
Arabic, Celebrity, Hindu, Indian, Muslim, Sindhi
Slave; Servant
Female
Slovene
Czech and Slovene form of Latin Ursula, URÅ ULA means "little she-bear."
Boy/Male
Hindu, Indian, Tamil
Clam and Beautiful
Girl/Female
Biblical
Strength, fool, senseless.
Girl/Female
Hindu, Indian
Joyful
Boy/Male
Hindu
Rising, Place of origin, Source, Beginning
Boy/Male
English Biblical Hebrew
Place name in Britain.
Female
English
 Pet form of English Ulrica, ULA means "wolf power." Compare with other forms of Ula.
Boy/Male
German
Gold
ULAM MATRIX
ULAM MATRIX
Girl/Female
Celtic
Strong.
Girl/Female
Hindu, Indian
Capable
Girl/Female
Gujarati, Indian, Italian, Kannada
Heart
Boy/Male
Arabic
Belonging of Hijaz (Old Name of Saudi Arabia); Another Name for Prophet Muhammad
Boy/Male
Tamil
Mercury planet
Girl/Female
Muslim
Flower
Boy/Male
Hindu
Pavithra comes from the indian word which means, Purity.â€
Male
Hebrew
(מַשָׂ×) Hebrew name MASSA means "burden." In the bible, this is the name of a son of Ishmael.
Surname or Lastname
English
English : variant of Hamlin.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
The Lord of the World Vishnu; Lord of the Earth; Lord of the Universe; Lord Vishnu
ULAM MATRIX
ULAM MATRIX
ULAM MATRIX
ULAM MATRIX
ULAM MATRIX
n.
An American market clam (Venus mercenaria). It is sold in large quantities, and is highly valued as food. Called also round clam, and hard clam.
n.
Winning all the tricks of a deal.
v. t.
A bivalve mollusk of many kinds, especially those that are edible; as, the long clam (Mya arenaria), the quahog or round clam (Venus mercenaria), the sea clam or hen clam (Spisula solidissima), and other species of the United States. The name is said to have been given originally to the Tridacna gigas, a huge East Indian bivalve.
p. pr. & vb. n.
of Flam
imp. & p. p.
of Slam
p. pr. & vb. n.
of Clam
n.
See Uhlan.
n.
A mollusk. See Clam.
p. pr. & vb. n.
of Lam
v. t. & i.
To produce, in bell ringing, a clam or clangor; to cause to clang.
n.
A large edible clam (Schizothaerus Nuttalli), of the Pacific coast; -- called also gaper clam.
v. t.
To put in or on some place with force and loud noise; -- usually with down; as, to slam a trunk down on the pavement.
imp. & p. p.
of Lam
imp. & p. p.
of Flam
imp. & p. p.
of Clam
n.
The shell of an oyster or clam.
v. t.
See Lam.
p. pr. & vb. n.
of Slam
n.
The refuse of alum works.