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Statements

Subject Item
dbr:Hockey-stick_identity
rdfs:label
朱世杰恒等式 Identidad del palo de hockey Hockey-stick identity
rdfs:comment
In combinatorial mathematics, the identity or equivalently, the mirror-image by the substitution : is known as the hockey-stick, Christmas stocking identity, boomerang identity, or Chu's Theorem. The name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects (see hockey stick, Christmas stocking). En matemática combinatoria se conoce como Identidad del palo de hockey​ o Identidad del Calcetín de Navidad​ a la igualdad: o a su imagen equivalente mediante la sustitución : la cual representa la suma de o elementos, en la segunda igualdad, de una diagonal del triángulo de Pascal. El nombre de esta igualdad proviene de su representación gráfica sobre dicho triángulo, ya que cuando se resaltan los sumandos y el total, la forma revelada recuerda vagamente a esos objetos. 朱世杰恒等式是组合数的一阶求和公式。元朝數學家朱世傑在《四元玉鑒》中，利用垛積術、招差術給出： ， 或以代再與上式作差，寫成： 。
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dbo:abstract
朱世杰恒等式是组合数的一阶求和公式。元朝數學家朱世傑在《四元玉鑒》中，利用垛積術、招差術給出： ， 或以代再與上式作差，寫成： 。 En matemática combinatoria se conoce como Identidad del palo de hockey​ o Identidad del Calcetín de Navidad​ a la igualdad: o a su imagen equivalente mediante la sustitución : la cual representa la suma de o elementos, en la segunda igualdad, de una diagonal del triángulo de Pascal. El nombre de esta igualdad proviene de su representación gráfica sobre dicho triángulo, ya que cuando se resaltan los sumandos y el total, la forma revelada recuerda vagamente a esos objetos. In combinatorial mathematics, the identity or equivalently, the mirror-image by the substitution : is known as the hockey-stick, Christmas stocking identity, boomerang identity, or Chu's Theorem. The name stems from the graphical representation of the identity on Pascal's triangle: when the addends represented in the summation and the sum itself are highlighted, the shape revealed is vaguely reminiscent of those objects (see hockey stick, Christmas stocking).
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