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The idea was generalized to more general linear operators by Duzaar and Steffen [17], in order to deal with the regularity of almost minimizers to elliptic variational integrals in the setting of geometric measure theory.
The XOR (binary field) operator is used instead of more general linear coding, similarly to[3].
A more general linear second-order difference equation was later studied in a similar way in [22].
This function is a class of a more general linear demand functions used in many of the previous studies (McGuire and Staelin 1983; Choi 1991; Shy 2003).
This is important since more general linear differential-algebraic equations models are often the result of object-oriented equation-based modeling.
They are utilized in operator splitting schemes to arrive at a local spectral time-splitting (LSTS) method for solving more general linear and/or nonlinear PDEs.
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Since piecewise linear and topological embeddings are more general than linear embeddings, all lower bounds for chromatic numbers can easily be transferred.
The generalized ratio of Louis de Broglie establishes a relationship between the mechanical and the wave momenta, more general than linear: p m = p, which was formulated by de Broglie.
A wide variety of choices are available for the smoothing operation involved, including for example lowess (Cleveland, 1979), more general local linear methods (Fan and Gijbels, 1996), smoothing splines (Green and Silverman, 1994) and p-splines (Eilers and Marx, 1996).
The formulation derived here can readily be combined with the existing IHB scheme designed for treating systems with only piecewise-linear stiffness in analyzing complex dynamical behavior as bifurcation and chaos of more general piecewise-linear systems.
Using the concepts of elastic foundation beam theory and developing them for a more general non-linear hyperelastic foundation case, a semi-analytical model is proposed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com