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- Pascal's_triangle abstract "In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Greece, Iran, China, Germany, and Italy.The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top. The entries in each row are numbered from the left beginning with k = 0 and are usually staggered relative to the numbers in the adjacent rows. A simple construction of the triangle proceeds in the following manner. On row 0, write only the number 1. Then, to construct the elements of following rows, add the number above and to the left with the number above and to the right to find the new value. If either the number to the right or left is not present, substitute a zero in its place. For example, the first number in the first row is 0 + 1 = 1, whereas the numbers 1 and 3 in the third row are added to produce the number 4 in the fourth row.This construction is related to the binomial coefficients by Pascal's rule, which says that ifthenfor any non-negative integer n and any integer k between 0 and n.Pascal's triangle has higher dimensional generalizations. The three-dimensional version is called Pascal's pyramid or Pascal's tetrahedron, while the general versions are called Pascal's simplices.".
- Pascal's_triangle thumbnail Pascal's_triangle_5.svg?width=300.
- Pascal's_triangle wikiPageExternalLink p.html.
- Pascal's_triangle wikiPageExternalLink faq.pascal.triangle.html.
- Pascal's_triangle wikiPageExternalLink pascal.
- Pascal's_triangle wikiPageExternalLink A001142.
- Pascal's_triangle wikiPageExternalLink pascaltriangle.ayestaran.co.uk.
- Pascal's_triangle wikiPageExternalLink 13183.html.
- Pascal's_triangle wikiPageExternalLink ptri1.tripod.com.
- Pascal's_triangle wikiPageExternalLink DotPatterns.shtml.
- Pascal's_triangle wikiPageExternalLink LeibnitzTriangle.shtml.
- Pascal's_triangle wikiPageExternalLink PascalTraite.
- Pascal's_triangle wikiPageExternalLink pascalintro.pdf.
- Pascal's_triangle wikiPageExternalLink pascals-triangle.html.
- Pascal's_triangle wikiPageExternalLink O.html.
- Pascal's_triangle wikiPageExternalLink triangle.gif.
- Pascal's_triangle wikiPageID "49497".
- Pascal's_triangle wikiPageRevisionID "606503326".
- Pascal's_triangle hasPhotoCollection Pascal's_triangle.
- Pascal's_triangle id "p/p071790".
- Pascal's_triangle title "Pascal triangle".
- Pascal's_triangle title "Pascal's triangle".
- Pascal's_triangle urlname "PascalsTriangle".
- Pascal's_triangle subject Category:Blaise_Pascal.
- Pascal's_triangle subject Category:Chinese_mathematical_discoveries.
- Pascal's_triangle subject Category:Factorial_and_binomial_topics.
- Pascal's_triangle subject Category:Indian_inventions.
- Pascal's_triangle subject Category:Triangles_of_numbers.
- Pascal's_triangle type Ability105616246.
- Pascal's_triangle type Abstraction100002137.
- Pascal's_triangle type Attribute100024264.
- Pascal's_triangle type Cognition100023271.
- Pascal's_triangle type Creativity105624700.
- Pascal's_triangle type Figure113862780.
- Pascal's_triangle type IndianInventions.
- Pascal's_triangle type Invention105633385.
- Pascal's_triangle type PlaneFigure113863186.
- Pascal's_triangle type Polygon113866144.
- Pascal's_triangle type PsychologicalFeature100023100.
- Pascal's_triangle type Shape100027807.
- Pascal's_triangle type Triangle113879320.
- Pascal's_triangle type TrianglesOfNumbers.
- Pascal's_triangle comment "In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Greece, Iran, China, Germany, and Italy.The rows of Pascal's triangle are conventionally enumerated starting with row n = 0 at the top.".
- Pascal's_triangle label "Driehoek van Pascal".
- Pascal's_triangle label "Pascal's triangle".
- Pascal's_triangle label "Pascalsches Dreieck".
- Pascal's_triangle label "Triangle de Pascal".
- Pascal's_triangle label "Triangolo di Tartaglia".
- Pascal's_triangle label "Triángulo de Pascal".
- Pascal's_triangle label "Triângulo de Pascal".
- Pascal's_triangle label "Trójkąt Pascala".
- Pascal's_triangle label "Треугольник Паскаля".
- Pascal's_triangle label "مثلث باسكال".
- Pascal's_triangle label "パスカルの三角形".
- Pascal's_triangle label "杨辉三角形".
- Pascal's_triangle sameAs Pascalův_trojúhelník.
- Pascal's_triangle sameAs Pascalsches_Dreieck.
- Pascal's_triangle sameAs Τρίγωνο_του_Πασκάλ.
- Pascal's_triangle sameAs Triángulo_de_Pascal.
- Pascal's_triangle sameAs Pascalen_hiruki.
- Pascal's_triangle sameAs Triangle_de_Pascal.
- Pascal's_triangle sameAs Segitiga_Pascal.
- Pascal's_triangle sameAs Triangolo_di_Tartaglia.
- Pascal's_triangle sameAs パスカルの三角形.
- Pascal's_triangle sameAs 파스칼의_삼각형.
- Pascal's_triangle sameAs Driehoek_van_Pascal.
- Pascal's_triangle sameAs Trójkąt_Pascala.
- Pascal's_triangle sameAs Triângulo_de_Pascal.
- Pascal's_triangle sameAs m.0d55k.
- Pascal's_triangle sameAs Q177051.
- Pascal's_triangle sameAs Q177051.
- Pascal's_triangle sameAs Pascal's_triangle.
- Pascal's_triangle wasDerivedFrom Pascal's_triangle?oldid=606503326.
- Pascal's_triangle depiction Pascal's_triangle_5.svg.
- Pascal's_triangle isPrimaryTopicOf Pascal's_triangle.