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An algorithm for the quadratic approximation [PDF]

open access: yesJournal of Computational and Applied Mathematics, 1984
Given f, the polynomials \(p\in \Pi_{\ell}\), \(q\in \Pi_ m\), \(r\in \Pi_ n\) are called a quadratic approximation, if \(pf^ 2+qf+r=O(x^{\ell +m+n+2})\). This concept generalizes Padé approximation. Similar recursion formulas for the polynomials are established. Specifically, an analogue of the Mühlbach-Neville-Aitken scheme is discussed. An algorithm
McInnes, A. W., Loi, S.L.
exaly   +4 more sources

Approximation of the Quadratic Knapsack Problem [PDF]

open access: yesOperations Research Letters, 2016
We study the approximability of the classical quadratic knapsack problem (QKP) on special graph classes. In this case the quadratic terms of the objective function are not given for each pair of knapsack items. Instead, an edge weighted graph, whose vertices represent the knapsack items, induces a quadratic profit for every pair of items, which is ...
Richard Taylor
exaly   +8 more sources

Approximation on the Quadratic Reciprocal Functional Equation [PDF]

open access: yesJournal of Function Spaces, 2014
The quadratic reciprocal functional equation is introduced. The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved.
Abasalt Bodaghi, Sang Og Kim
doaj   +3 more sources

Let Us Transform Traits Before Aggregating Them! [PDF]

open access: yesEcology and Evolution
Trait values are often log‐transformed during the analyses. When measurements are aggregated at the species level, it matters whether we transform the values before or after aggregation.
Zoltán Botta‐Dukát
doaj   +2 more sources

Universal approximation with quadratic deep networks

open access: yesNeural Networks, 2020
Recently, deep learning has achieved huge successes in many important applications. In our previous studies, we proposed quadratic/second-order neurons and deep quadratic neural networks. In a quadratic neuron, the inner product of a vector of data and the corresponding weights in a conventional neuron is replaced with a quadratic function.
Fenglei Fan, Jinjun Xiong, Ge Wang
exaly   +5 more sources

Approximation of the Quadratic Set Covering problem

open access: yesDiscrete Optimization, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bruno Escoffier, Peter L Hammer
exaly   +3 more sources

IMPLEMENTATION OF QUADRATIC AXIAL TRIAL FUNCTIONS IN THE HIGH-FIDELITY TRANSPORT CODE PROTEUS-MOC [PDF]

open access: yesEPJ Web of Conferences, 2021
PROTEUS-MOC is a pin-resolved high-fidelity transport code, in which the axial variation of angular flux is represented in terms of orthogonal polynomials.
Zhang Guangchun, Yang Won Sik
doaj   +1 more source

Developing a new fuzzy approach for solving two-machine flow shop scheduling problems under fuzziness [PDF]

open access: yesComputational Algorithms and Numerical Dimensions, 2023
The current study investigates a two-machine Flow Shop Scheduling (FSS) problem with piecewise quadratic fuzzy processing time. It is illogical to consider that the processing time is exact but uncertain because it varies due to human factors. One of the
Hamiden Khalifa
doaj   +1 more source

Per-pixel displacement mapping using cone tracing with correct silhouette [PDF]

open access: yesJournal of Graphic Engineering and Design, 2021
Per-pixel displacement mapping is a texture mapping technique that adds the microrelief effect to 3D surfaces without increasing the density of their corresponding meshes.
Adnane Ouazzani Chahdi   +3 more
doaj   +1 more source

Stability Analysis of Recurrent-Neural-Based Controllers Using Dissipativity Domain

open access: yesMathematics, 2023
This paper proposes a method for the stability analysis of dynamic neural networks. The stability analysis of dynamic neural networks is a challenging task due to internal feedback connections.
Reza Jafari
doaj   +1 more source

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