Results 51 to 60 of about 27,298 (248)
Twenty years of dynamic occupancy models: a review of applications and look to the future
Ecography, EarlyView.Since their introduction over 20 years ago, dynamic occupancy models (DOMs) have become a powerful and flexible framework for estimating species occupancy across space and time while accounting for imperfect detection. As their popularity has increased and extensions have further expanded their capabilities, DOMs have been applied to increasingly ...
Saoirse Kelleher +3 more
wiley +1 more source
A Note on the (ℎ,𝑞)-Extension of Bernoulli Numbers and Bernoulli Polynomials
Discrete Dynamics in Nature and Society, 2010 We observe the behavior of roots of the (ℎ,𝑞)-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials 𝐵(ℎ)𝑛,𝑞(𝑥). The
C. S. Ryoo, T. Kim
doaj +1 more source
Relations for Bernoulli--Barnes Numbers and Barnes Zeta Functions
, 2013 The \emph{Barnes $\zeta$-function} is \[ \zeta_n (z, x; \a) := \sum_{\m \in \Z_{\ge 0}^n} \frac{1}{\left(x + m_1 a_1 + \dots + m_n a_n \right)^z} \] defined for $\Re(x) > 0$ and $\Re(z) > n$ and continued meromorphically to $\C$.
Bayad, Abdelmejid, Beck, Matthias
core +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
New Convolution Identities for Hypergeometric Bernoulli Polynomials
, 2014 New convolution identities of hypergeometric Bernoulli polynomials are presented. Two different approaches to proving these identities are discussed, corresponding to the two equivalent definitions of hypergeometric Bernoulli polynomials as Appell ...
Cheong, Long G., Nguyen, Hieu D.
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
Wildlife Biology, EarlyView.The ruffed grouse Bonasa umbellus is a species of conservation concern that has declined across most of its range. At the southeastern trailing edge of the range in Georgia, grouse are restricted to elevations 600 m a.s.l. and abundance is relatively low.
Clayton D. Delancey +5 more
wiley +1 more source
Identities on the Bernoulli and Genocchi Numbers and Polynomials
International Journal of Mathematics and Mathematical Sciences, 2012 We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +2 more
doaj +1 more source
q-Bernoulli numbers and polynomials
Duke Mathematical Journal, 1948 Verf. definiert die \(q\)-Bernoullischen Zahlen \(\beta_m\) durch \(\beta_0=1\), \(\beta_1=-1/(q+1)\) und die symboli\-sche Rekursionsformel \(q(q\beta+1)^m=0\) \((m>1)\), wobei \(\beta^i\) nach Entwicklung durch \(\beta_i\) zu ersetzen ist. Die Zahlen \(\beta_m\) stimmen für \(q=1\) mit den gewöhnlichen Bernoullischen Zahlen überein.
openaire +3 more sources
Multi‐Objective Optimisation Framework for Heterogeneous Federated Learning
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Federated learning is a distributed framework that trains a centralised model using data from multiple clients without transferring that data to a central server. Despite rapid progress, federated learning still faces several unsolved challenges. Specifically, communication costs and system heterogeneity, such as nonidentical data distribution,
Jamshid Tursunboev +4 more
wiley +1 more source