https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Optimal routing for the Gaussian multiple-relay channel with decode-and-forward https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:9341 Wed 30 Oct 2024 12:45:24 AEDT ]]> Extension of a theorem of Duffin and Schaeffer https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:30912 r₁,..., r_s: Z_n≥0 → C be linearly recurrent sequences whose associated eigenvalues have arguments in πQ and let F(z) := Σ_n ≥ 0 f(n)zn, where f(n) ∈ {r1(n),..., rs(n)} for each n ≥ 0. We prove that if F(z) is bounded in a sector of its disk of convergence, then it is a rational function. This extends a very recent result of Tang and Wang, who gave the analogous result when the sequence f(n) takes on values of finitely many polynomials.]]> Wed 11 Apr 2018 16:49:35 AEST ]]> Constrained trajectory generation and fault tolerant control based on differential flatness and B-splines https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10087 Wed 11 Apr 2018 16:05:30 AEST ]]> Habitat characteristics predicting distribution and abundance patterns of scallops in D'Entrecasteaux Channel, Tasmania https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16804 Tue 24 Aug 2021 13:58:53 AEST ]]> Becker’s conjecture on Mahler functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:56199 Tue 13 Aug 2024 14:49:37 AEST ]]> Sampling zeros and the Euler-Frobenius polynomials https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:857 Tue 05 Nov 2024 12:03:57 AEDT ]]> On formulas for π experimentally conjectured by Jauregui–Tsallis https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12972 Thu 26 Sep 2024 14:53:43 AEST ]]> The geometry and dynamics of lifelogs: discovering the organizational principles of human experience https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16828 Thu 12 Apr 2018 13:38:23 AEST ]]> Applications of integer relation algorithms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13065 T=0. We discuss the algorithms for finding such integer relations from the user's point of view, by presenting examples of their applications and by reviewing the available software implementations.]]> Sat 24 Mar 2018 08:15:37 AEDT ]]> On the nonexistence of almost Moore digraphs https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:20998 1, diameter at most k>1 and order N(d,k)=d+⋯+d^k are called almost Moore or(d,k)-digraphs. So far, the problem of their existence has been solved only when d=2,3 or k=2,3,4. In this paper we derive the nonexistence of (d,k)-digraphs, with k>4 and d>3, under the assumption of a conjecture related to the factorization of the polynomials Φ_n(1+x+⋯+x^k), where Φn(x) denotes the nnth cyclotomic polynomial and 1 Sat 24 Mar 2018 07:50:39 AEDT ]]> Splines and polynomial tools for flatness-based constrained motion planning https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28491 Sat 24 Mar 2018 07:39:31 AEDT ]]> H∞ and H2 Norms of 2-D Mixed Continuous-Discrete-Time Systems via Rationally-Dependent Complex Lyapunov Functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:22610 Sat 24 Mar 2018 07:16:05 AEDT ]]> A necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systems https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:23455 Sat 24 Mar 2018 07:13:01 AEDT ]]> Mahler measures, short walks and log-sine integrals https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12927 Mon 23 Sep 2024 14:20:39 AEST ]]> Binary constant-length substitutions and mahler measures of Borwein polynomials https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:47228 Fri 16 Dec 2022 11:54:28 AEDT ]]>