Results 31 to 40 of about 9,522 (300)
A new approach for proving or generating combinatorial identities [PDF]
, 2010 A new method for proving, in an immediate way, many combinatorial identities is presented. The method is based on a simple recursive combinatorial formula involving n+1 arbitrary real parameters.
González Sánchez, Luis
core +1 more source
Parity-Based Statistics and Combinatorial Identities
MathematicsNotable discrete probability laws appear as posterior distributions in the estimation of the common mean with heterogeneous variances. These probabilities, which are defined by an arbitrary set of distinct real numbers, also arise in seemingly unrelated ...
Andrew L. Rukhin
doaj +1 more source
Some combinatorial identities of Sarmanov, Sevast'yanov, and Tarakanov [PDF]
, 1977 Sarmanov, Sevast'yanov, and Tarakanov have proved certain combinatorial identities by a combinatorial argument, namely, by counting the number of weighted chains by two different methods. The identities are applied to the summation of infinite series and
Carlitz, L
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Combinatorial Proofs of q-Series Identities [PDF]
, 2002 We provide combinatorial proofs of several of the q-series identities proved by Andrews, Jiménez-Urroz, and Ono using the theory of basic hypergeometric ...
Chapman, Robin
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Cup‐like nuclei are a distinctive morphological feature observed in certain cases of acute lymphoblastic leukemia (ALL). We provide evidence that they characterize DUX4/ERG ALL independently of IKZF1 deletion and reveal marked mitochondrial accumulation in this ALL subset.
Chloé Arfeuille +9 more
wiley +1 more source
New combinatorial interpretations of some Rogers-Ramanujan type identities [PDF]
, 2017 In present paper, three Rogers-Ramanujan type identities are interpreted combinatorially in terms of certain associated lattice path functions. Out of these three identities, two are further explored using the Bender-Knuth matrices.
Goyal, Megha
core +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley +1 more source