Results 11 to 20 of about 180,364 (280)

Generating Functions for Binomial Series Involving Harmonic-like Numbers

Mathematics
By employing the coefficient extraction method, a class of binomial series involving harmonic numbers will be reviewed through three hypergeometric F12(y2)-series.
Chunli Li, Wenchang Chu
doaj   +3 more sources

Binomial-coefficient multiples of irrationals [PDF]

, 1998
Denote by $x$ a random infinite path in the graph of Pascal's triangle (left and right turns are selected independently with fixed probabilities) and by $d_n(x)$ the binomial coefficient at the $n$'th level along the path $x$. Then for a dense $G_{\delta}
Adams, Terrence M., Petersen, Karl E.
core   +5 more sources

Reliability of environmental sampling culture results using the negative binomial intraclass correlation coefficient. [PDF]

, 2014
The Intraclass Correlation Coefficient (ICC) is commonly used to estimate the similarity between quantitative measures obtained from different sources.
Aly, Sharif S, Jiang, Jiming, Li, Ben, Zhao, Jianyang   +3 more
core   +1 more source

On some series involving the binomial coefficients $binom{3n}{n}$ [PDF]

Notes on Number Theory and Discrete Mathematics
Using a simple transformation, we obtain much simpler forms for some series involving binomial coefficients $binom{3n}{n}$ derived by Necdet Batir. New evaluations are given and connections with Fibonacci numbers and the golden ratio are established ...
Kunle Adegoke, Robert Frontczak, Taras Goy   +2 more
doaj   +1 more source

q-Analogue of a binomial coefficient congruence

International Journal of Mathematics and Mathematical Sciences, 1995
We establish a q-analogue of the congruence (papb)≡(ab)   (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
doaj   +1 more source

BayesX: Analysing Bayesian structured additive regression models [PDF]

, 2003
There has been much recent interest in Bayesian inference for generalized additive and related models. The increasing popularity of Bayesian methods for these and other model classes is mainly caused by the introduction of Markov chain Monte Carlo (MCMC)
Brezger, Andreas, Kneib, Thomas, Lang, S.   +2 more
core   +2 more sources

Three new classes of binomial Fibonacci sums [PDF]

Transactions on Combinatorics
In this paper, we introduce three new classes of binomial sums involving Fibonacci (Lucas) numbers and weighted binomial coefficients. One particular result is linked to a problem proposal recently published in the journal The Fibonacci Quarterly.
Robert Frontczak
doaj   +1 more source

A note on a one-parameter family of non-symmetric number triangles [PDF]

Opuscula Mathematica, 2012
The recent growing interest in special Clifford algebra valued polynomial solutions of generalized Cauchy-Riemann systems in \((n + 1)\)-dimensional Euclidean spaces suggested a detailed study of the arithmetical properties of their coefficients, due to ...
Maria Irene Falcão, Helmuth R. Malonek
doaj   +1 more source

On Binomial Coefficient Residues [PDF]

Canadian Journal of Mathematics, 1957
The number of binomial coefficients , which are congruent to j , 0 ≤ j ≤ p − 1, modulo the prime number p is denoted by θj(n). In this paper we give systems of simultaneous linear difference equations with constant coefficients whose
openaire   +1 more source

The cyclic coloring complex of a complete k-uniform hypergraph

, 2011
In this paper, we study the homology of the cyclic coloring complex of three different types of $k$-uniform hypergraphs. For the case of a complete $k$-uniform hypergraph, we show that the dimension of the $(n-k-1)^{st}$ homology group is given by a ...
Rundell, Sarah Crown
core   +2 more sources