Results 61 to 70 of about 599,194 (182)

New Stable Closed Newton-Cotes Trigonometrically Fitted Formulae for Long-Time Integration

open access: yesAbstract and Applied Analysis, 2012
The closed Newton-Cotes differential methods of high algebraic order for small number of function evaluations are unstable. In this work, we propose a new closed Newton-Cotes trigonometrically fitted differential method of high algebraic order which ...
T. E. Simos
doaj   +1 more source

Zero-dimensional families of polynomial systems

open access: yesLe Matematiche, 2013
If a real world problem is modelled with a system of polynomial equations, the coefficients are in general not exact. The consequence is that small perturbations of the coefficients may lead to big changes of the solutions.
Lorenzo Robbiano, Maria-Laura Torrente
doaj  

A Construction of Rotated Lattices via Totally Real Subfields of the Cyclotomic Field Q(z_p)

open access: yesTrends in Computational and Applied Mathematics, 2019
The theory of lattices have shown to be useful in information theory and rotated lattices with high modulations diversity have been extensively studied as an alternative approach for transmission over a Rayleigh-fading channel, where the performance of ...
Antonio A. Andrade   +2 more
doaj   +1 more source

Lectures on height zeta functions: At the confluence of algebraic geometry, algebraic number theory, and analysis

open access: yes, 2009
This is a survey on the theory of height zeta functions, written on the occasion of a French-Japanese winter school, held in Miura (Kanagawa, Japan) in Jan. 2008. It does not presuppose much knowledge in algebraic geometry. The last chapter of the survey
Chambert-Loir, Antoine
core   +1 more source

On the quantum security of high-dimensional RSA protocol

open access: yesJournal of Mathematical Cryptology
The idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine   +3 more
doaj   +1 more source

The views and experiences of Grade 3 teachers in developing learners’ algebraic representations

open access: yesPythagoras
The global concern over low mathematical achievement consistently challenges educational ministries. Poor development of learners’ algebraic representations contributes to poor mathematical achievement from the Foundation Phase classes (Grades 1–3).
Mmakgabo A. Selepe, Thembi A.L. Phala
doaj   +1 more source

Aspects of derivative causality in bond-graph models

open access: yesMATEC Web of Conferences, 2017
The bond-graph method used in the analysis of system dynamics problems leads to a system containing a number of differential equations equal to the number of energy storing elements in integral causality and a number of algebraic equations equal to the ...
Ibănescu Radu, Ibănescu Mihaela
doaj   +1 more source

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