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searching for Bijective proof 8 found (24 total)

Pentagonal number theorem (2,118 words) [view diff] no match in snippet view article find links to article

In mathematics, Euler's pentagonal number theorem relates the product and series representations of the Euler function. It states that ∏ n = 1 ∞ ( 1 −

Hook length formula (5,141 words) [view diff] exact match in snippet view article find links to article

Frame–Robinson–Thrall proof into the first bijective proof for the hook length formula in 1982. A direct bijective proof was first discovered by Franzblau and

Delannoy number (1,163 words) [view diff] exact match in snippet view article find links to article

Sequences. OEIS Foundation. Peart, Paul; Woan, Wen-Jin (2002). "A bijective proof of the Delannoy recurrence". Congressus Numerantium. 158: 29–33. ISSN 0384-9864

Cassini and Catalan identities (1,391 words) [view diff] exact match in snippet view article find links to article

MR 4539699. Zbl 1512.11025. Werman, M.; Zeilberger, D. (1986). "A bijective proof of Cassini's Fibonacci identity". Discrete Mathematics. 58 (1): 109

Young tableau (2,871 words) [view diff] exact match in snippet view article find links to article

Jean-Christophe Novelli, Igor Pak, Alexander V. Stoyanovskii, "A direct bijective proof of the Hook-length formula", Discrete Mathematics and Theoretical Computer

Robinson–Schensted–Knuth correspondence (2,102 words) [view diff] exact match in snippet view article find links to article

} . The Robinson–Schensted–Knuth correspondence provides a direct bijective proof of the following celebrated identity for symmetric functions: ∏ i

Permutation pattern (4,037 words) [view diff] exact match in snippet view article find links to article

permutations avoiding two patterns of length three, and gave the first bijective proof that 123- and 231-avoiding permutations are equinumerous. Since their

Morphism of schemes (5,034 words) [view diff] no match in snippet view article find links to article

(\Gamma (X,{\mathcal {O}}_{X}),\Gamma (S,{\mathcal {O}}_{S}))} is bijective. (Proof: if the maps are bijective, then Mor ⁡ ( − , X ) ≃ Mor ⁡ ( − , Spec