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The hockey stick identity confirms, for example: for n=6, r=2: 1+3+6+10+15=35. In combinatorics , the hockey-stick identity , [ 1 ] Christmas stocking identity , [ 2 ] boomerang identity , Fermat's identity or Chu's Theorem , [ 3 ] states that if n ≥ r ≥ 0 {\displaystyle n\geq r\geq 0} are integers, then
Hockey-stick identity; K. Kneser's theorem (combinatorics) Kruskal–Katona theorem; L. Labelled enumeration theorem; Lagrange inversion theorem; Lindström–Gessel ...
Girl with a field hockey stick. A hockey stick is a piece of sports equipment used by the players in all the forms of hockey to move the ball or puck (as appropriate to the type of hockey) either to push, pull, hit, strike, flick, steer, launch or stop the ball/puck during play with the objective being to move the ball/puck around the playing area using the stick, and then trying to score.
Revisiting the infamous "hockey stick" chart of rising global temperatures amid the worst climate-changed year to date.
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The hockey stick identity follows by equating coefficients of . I came up with this proof, which I think is pretty nice, and I can't find it anywhere else, so I just assume its new. EZ132 ( talk ) 19:09, 18 September 2020 (UTC) [ reply ]
Abel's identity; Abel's test; Activity selection problem; Algebraic geometry code; AM–GM inequality; Analogy of the divided line; Angle bisector theorem; Angle trisection; Apollonius's theorem; Area of a circle; Area theorem (conformal mapping) Arithmetic progression; Arithmetic–geometric mean; Art gallery problem; Arzelà–Ascoli theorem
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