Results 81 to 90 of about 178,978 (284)

Binomial Coefficients and Lucas Sequences

Journal of Number Theory, 2002
Let sequences \(\{u_n\}_{n\geq 0}\) and \(\{v_n\}_{n\geq 0}\) be defined by \(u_n= \frac{a^n-b^n}{a-b}\), \(v_n= a^n+b^n\) where \(a,b\) are integers such that \(a>|b|\). (Such sequences are Lucas sequences such that the associated quadratic polynomial has integer roots.
Flammenkamp, Achim, Luca, Florian
openaire   +2 more sources

Associations between inclusive community coalition leadership and use of evidence‐based practices

American Journal of Community Psychology, EarlyView.
Abstract Community coalitions have the potential to elicit diverse participants' perspectives on complex issues and generate shared commitment to adaptive strategies. Ideally, these approaches have been found effective elsewhere. Despite evidence that leadership plays a generally important role in coalitions, there have been limited prior findings ...
Rebecca Wells, Nalini Ranjit, Louis D. Brown, Sarah M. Chilenski, Yvonne Mary Gaddy   +4 more
wiley   +1 more source

Repeated sums and binomial coefficients

Open Journal of Discrete Applied Mathematics, 2021
Binomial coefficients have been used for centuries in a variety of fields and have accumulated numerous definitions. In this paper, we introduce a new way of defining binomial coefficients as repeated sums of ones. A multitude of binomial coefficient identities will be shown in order to prove this definition.
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Genetic Contribution to Asthma Informs Acute Chest Syndrome Pathophysiology and Risk Stratification

American Journal of Hematology, EarlyView.
ABSTRACT Acute chest syndrome (ACS) is a severe complication of sickle cell disease (SCD) occurring in ~50% of patients, some presenting frequent episodes. We lack tools to identify patients at high risk of ACS occurrence or frequent episodes. Epidemiological studies have found an association between asthma and ACS, but whether this link is causal is ...
Sara El Aouhel, Vanessa Bellegarde, Stennio Da Silva Faria, Tristan St‐Laurent, Estelle Lecluze, Anne‐Laure Pham Hung d’Alexandry d’Orengiani, Frédéric Galactéros, Pablo Bartolucci, Marc‐André Legault, Guillaume Lettre, Thomas Pincez   +10 more
wiley   +1 more source

Harmonic Series of Convergence Ratio “1/4" with Cubic Central Binomial Coefficients

Axioms
We examine a useful hypergeometric transformation formula by means of the coefficient extraction method. A large class of “binomial/harmonic series” (of convergence ratio “1/4”) containing the cubic central binomial coefficients and harmonic numbers is ...
Chunli Li, Wenchang Chu
doaj   +1 more source

A Continuous Analogue of Lattice Path Enumeration: Part II

, 2018
Here are exhibited some additional results about the continuous binomial coefficients as introduced by L. Cano and R.
Vignat, C., Wakhare, T.
core  

Number of odd binomial coefficients [PDF]

Proceedings of the American Mathematical Society, 1977
Let F ( n ) F(n) denote the number of odd numbers in the first n rows of Pascal’s triangle, and θ = ( log ⁡ 3 ) / log ⁡ 2 ) \theta = (\log 3)/\log 2) . Then α = lim
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Rationale of New Grading System: Central Compartment Atopic Disease

International Forum of Allergy &Rhinology, EarlyView.
ABSTRACT Background Central compartment atopic disease (CCAD) has recently been recognized as a distinct phenotype within the spectrum of type 2–dominant chronic rhinosinusitis (CRS). Although international guidelines highlight polypoid changes in the central nasal cavity, standardized diagnostic and classification criteria are still lacking.
Ramón Moreno‐Luna, Carmen Palma‐Martínez, Serafin Sánchez‐Gómez, Isam Alobid, Daniel Martin‐Jimenez, José Miguel Villacampa‐Aubá, Christian Calvo‐Henríquez, Alfonso Del Cuvillo, Alfonso Santamaría‐Gadea, Jaime González‐García, Richard J. Harvey, John M. DelGaudio   +11 more
wiley   +1 more source

Factors of alternating convolution of the Gessel numbers [PDF]

Notes on Number Theory and Discrete Mathematics
The Gessel number P(n,r) is the number of lattice paths in the plane with (1,0) and (0,1) steps from (0,0) to (n+r, n+r-1) that never touch any of the points from the set {(x,x)∈ℤ²:x≥r}. We show that there is a close relationship between Gessel numbers P(
Jovan Mikić
doaj   +1 more source

Automated Feature Extraction and Classification of Submerged Cultural Heritage Assets in the Puck Lagoon via Multisensor Remote Sensing

Archaeological Prospection, EarlyView.
ABSTRACT This study presents a strong framework for the detection and classification of Submerged Cultural Heritage Assets (SCHA) in shallow marine environments using the integration of multibeam echosounder and airborne LiDAR bathymetry with object‐based image analysis and fuzzy logic–based classification.
Łukasz Janowski, Andrzej Pydyn, Mateusz Popek, Anna M. Kotarba‐Morley, Paweł Tysiąc   +4 more
wiley   +1 more source