• In combinatorial mathematics, Catalan's triangle is a number triangle whose entries C ( n , k ) {\displaystyle C(n,k)} give the number of strings consisting...
    9 KB (1,360 words) - 08:56, 3 November 2023
  • Thumbnail for Eugène Charles Catalan
    1892 Catalan pseudoprime Catalan's triangle Catalan–Dickson conjecture Catalan–Mersenne number conjecture Catalan beta function Fermat–Catalan conjecture...
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  • Thumbnail for Catalan number
    Bertrand's ballot theorem Binomial transform Catalan's triangle Catalan–Mersenne number Delannoy number Fuss–Catalan number List of factorial and binomial topics...
    40 KB (6,013 words) - 02:24, 6 June 2025
  • Thumbnail for Triangular array
    these: The Bell triangle, whose numbers count the partitions of a set in which a given element is the largest singleton Catalan's triangle, which counts...
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  • Thumbnail for Isosceles triangle
    triangle, and the faces of bipyramids and certain Catalan solids. The mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and...
    38 KB (4,157 words) - 08:26, 28 May 2025
  • 35\quad 35\quad 21\quad 7\quad 1\end{array}}} In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play...
    53 KB (7,608 words) - 02:14, 13 June 2025
  • doublets (s=1/2) to obtain the Clebsch-Gordan decomposition series, (Catalan's triangle), 2 ⊗ n = ⨁ k = 0 ⌊ n / 2 ⌋   ( n + 1 − 2 k n + 1 ( n + 1 k ) )  ...
    35 KB (6,156 words) - 15:03, 23 May 2025
  • Thumbnail for Estelada
    Estelada (category Pages with Catalan IPA)
    addition of a five-pointed star in a triangle at the hoist. The use of this flag as a protest symbol within Catalan nationalism has become more notable...
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  • Thumbnail for Catalan solid
    duals – at Virtual Reality Polyhedra Interactive Catalan Solid in Java Download link for Catalan's original 1865 publication – with beautiful figures...
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  • El Triangle has been close to blaverism. El Triangle is published in Catalan and Spanish, being spanish its major editorial line. "El Triangle empara...
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  • Thumbnail for Triakis icosahedron
    Triakis icosahedron (category Catalan solids)
    triakis icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron. It has...
    11 KB (1,283 words) - 02:25, 20 May 2025
  • Thumbnail for Tetrakis hexahedron
    Tetrakis hexahedron (category Catalan solids)
    result, it comprises twenty-four isosceles triangles. A non-convex form of this shape, with equilateral triangle faces, has the same surface geometry as...
    11 KB (1,140 words) - 07:41, 9 June 2025
  • Thumbnail for Ú
    Exceptionallu, ⟨ú⟩ in the middle is written in compound words, such as trojúhelník triangle, and in loanwords, such as múza 'muse'. Ú/ú is the 28th letter of Dobrujan...
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  • Thumbnail for Triangular prism
    bases of a triangular prism are triangles. The triangle has 3 vertices, each of which pairs with another triangle's vertex, making up another 3 edges...
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  • Thumbnail for Bell triangle
    In mathematics, the Bell triangle is a triangle of numbers analogous to Pascal's triangle, whose values count partitions of a set in which a given element...
    10 KB (1,316 words) - 09:07, 10 February 2025
  • Thumbnail for Northern Catalonia
    The term Pays Catalan (País Català), "Catalan Country," is sometimes used. Northern Catalonia forms a triangle between the Pyrenees to the south, the...
    22 KB (2,210 words) - 00:59, 24 June 2025
  • Marrecs de Salt (category CS1 Catalan-language sources (ca))
    castells: de 1900 a 2000 en dades (in Catalan). Cossetània Edicions. ISBN 978-84-95684-25-7. Almirall, Josep (2011). Triangle Postals SL (ed.). Castells. Tocant...
    52 KB (3,594 words) - 14:42, 21 June 2025
  • (n,k)=\operatorname {N} (n,n-k+1)} The sum of the rows in this triangle equal the Catalan numbers: N ⁡ ( n , 1 ) + N ⁡ ( n , 2 ) + N ⁡ ( n , 3 ) + ⋯ + N...
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  • "Exact Solution to the Chow-Robbins Game for almost all n, using the Catalan Triangle". arXiv:2205.13499 [math].{{cite arXiv}}: CS1 maint: date and year...
    15 KB (2,018 words) - 01:27, 24 June 2025
  • Thumbnail for Catalan State (1873)
    The Catalan State (Spanish: Estado Catalán; Catalan: Estat Català) was a short-lived state proclaimed in 1873, during the First Spanish Republic, by the...
    6 KB (377 words) - 22:53, 31 January 2025
  • African Vodun Anton March 8, 2020 Also visited Cotonou, Ouidah 3 (453) Afar Triangle. Ethiopia Alina March 15, 2020 Also visited Mekelle, Danakil Desert 4 (454)...
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  • Thumbnail for Noncrossing partition
    is the nth Catalan number. The number of noncrossing partitions of an n-element set with k blocks is found in the Narayana number triangle. A partition...
    5 KB (758 words) - 17:01, 28 August 2023
  • Thumbnail for Triangular number
    A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples...
    25 KB (3,594 words) - 22:10, 19 June 2025
  • Thumbnail for Tetrakis cuboctahedron
    can be confused with a slightly smaller Catalan solid, the tetrakis hexahedron, which has only 24 triangles, 32 edges, and 14 vertices. Octahedron with...
    3 KB (219 words) - 04:43, 20 January 2024
  • Thumbnail for Disdyakis triacontahedron
    Disdyakis triacontahedron (category Catalan solids)
    each face of the rhombic triacontahedron with a single vertex and four triangles in a regular fashion, one ends up with a disdyakis triacontahedron. That...
    15 KB (1,361 words) - 12:10, 26 April 2025
  • Antichain Beta function Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF...
    2 KB (220 words) - 05:14, 5 March 2025
  • series representations of Catalan's constant. It is named after the French and Belgian mathematician Charles Eugène Catalan. The numeric value of G {\displaystyle...
    40 KB (3,556 words) - 18:47, 11 June 2025
  • Thumbnail for Polygon triangulation
    of a polygonal area (simple polygon) P into a set of triangles, i.e., finding a set of triangles with pairwise non-intersecting interiors whose union...
    13 KB (1,386 words) - 18:20, 13 April 2025
  • Thumbnail for Catalan Republic (1931)
    Journal of the Catalan Republic, 16 April 1931. dogc.gencat.cat Mata, Jordi (17 April 2006). "La República dels 3 dies". El Triangle. 775: 36–37. Torra...
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  • Green & Tommy Forbes (Channel 4) Six Silent Killings: Ireland’s Vanishing Triangle – Colette Camden (Sky Documentaries) Director – Multicamera Picture Enhancement...
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