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Factoring certain decic polynomials.
(2011-09-14)
This paper presents a simple method for decomposing and synthesizing certain decic polynomials.
Solving septics in radicals.
(2011-10-13)
A novel method to solve certain solvable septic equations is described. The method involves
conversion of the given septic to an octic equation by adding a root to it, and then decomposing the octic equation into two ...
Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
(Corporación Universidad de la Costa, 2020)
Reduction of the computational burden of POD models with polynomial nonlinearities
(IEEE, 2010-12)
This paper presents a technique for making the evaluation of POD models with polynomial nonlinearities less intensive. Regularly, Proper Orthogonal Decomposition (POD) and Galerkin projection have been employed to reduce ...
On bubble generators in directed graphs
(Springer, 2017)
Bubbles are pairs of internally vertex-disjoint (s, t)-paths with applications in the processing of DNA and RNA data. For example, enumerating alternative splicing events in a reference-free context can be done by enumerating ...
A 75 bus bars model to evaluate the steady state operation of a sub-transmission electrical power grid
(Corporación Universidad de la Costa, 2022)
Descomposición en suma de cuadrados: teoría y aplicaciones en control
(Universidad Nacional de Colombia - Facultad de Ingeniería, 2010)
Las técnicas de descomposición en sumas de cuadrados (SOS) permiten emplear métodos numéricos para probar la positividad de funciones polinómicas multivariables resolviendo problemas de programación en semidefinida. Teniendo ...
Optimal Mechanism Design for a Sequencing Problem with Two-Dimensional Types
(Informs, 2016)
We study the design of mechanisms for a sequencing problem where the types of job-agents consist of processing times and waiting costs that are private to the jobs. In the Bayes-Nash setting, we seek to find a sequencing ...
Modeling wind speed with a long-term horizon and high-time interval with a hybrid fourier-neural network model
(Corporación Universidad de la Costa, 2021)