Results 21 to 30 of about 54,116 (276)
A Combinatorial Proof for Cayley's Identity [PDF]
The Electronic Journal of Combinatorics, 2014 In a recent paper, Caracciolo, Sokal and Sportiello presented, inter alia, an algebraic/combinatorial proof for Cayley's identity. The purpose of the present paper is to give a "purely combinatorial" proof for this identity; i.e., a proof involving only combinatorial arguments.
openaire +4 more sources
On Combinatorial Identities of Engbers and Stocker
Integers, 2017 See the abstract in the attached pdf.
Horst Alzer, Helmut Prodinger
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Shuffle Product Formulas and Combinatorial Identities
MathematicsWe study shuffle product structures on words in three letters, extending the classical framework of multiple zeta values. Using an evaluation map that relates admissible words to iterated integrals, we translate shuffle identities into combinatorial ...
Kwang-Wu Chen
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The combinatorial structure of trigonometry
International Journal of Mathematics and Mathematical Sciences, 2003 The native mathematical language of trigonometry is combinatorial. Two interrelated combinatorial symmetric functions underlie trigonometry. We use their characteristics to derive identities for the trigonometric functions of multiple distinct angles ...
Adel F. Antippa
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On partitions with difference conditions
International Journal of Mathematics and Mathematical Sciences, 2000 We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.
José Plínio, O. Santos, Paulo Mondek
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Some Congruences for the Coefficients of Rogers–Ramanujan Type Identities
Mathematics, 2022 We examine a few mathematical characteristics of Rogers–Ramanujan type identities as a follow-up work. Recently authors interpreted Rogers–Ramanujan type identities combinatorially using signed color partitions.
Vasudha Gupta, Meenakshi Rana
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Rota-Baxter algebras and new combinatorial identities
, 2006 The word problem for an arbitrary associative Rota-Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities.
A. Connes +25 more
core +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
Specification of neuronal identities by feedforward combinatorial coding.
PLoS Biology, 2007 Neuronal specification is often seen as a multistep process: earlier regulators confer broad neuronal identity and are followed by combinatorial codes specifying neuronal properties unique to specific subtypes.
Magnus Baumgardt +4 more
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The bipartite Laplacian matrix of a nonsingular tree
Special Matrices, 2023 For a bipartite graph, the complete adjacency matrix is not necessary to display its adjacency information. In 1985, Godsil used a smaller size matrix to represent this, known as the bipartite adjacency matrix.
Bapat Ravindra B. +2 more
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