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For example, the residually finite version of the Higman embedding theorem [24] would be very desirable.
In fact, the RSES is a finite version of the infinite-horizon SES method.
In this note we only use the finite version of Abian's theorem to demonstrate how the cyclicity of the map relates to the isotone assumption.
Therefore, we have shown how the isotone assumption relates to the idea of cycles and hence to fixed point theorems through the finite version of Abian's theorem.
Monfared and Yang (2004) further developed the finite version of SES method by performing a sensitivity analysis on the smoothing parameters.
The equivalence of Z-stability and strict comparison constitutes a stably finite version of Kirchberg's characterisation of purely infinite C∗-algebras.
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(Peano does think, however, that finite versions of the choice principle are provable, relying essentially on repeated applications of a version for classes of the basic logical principle EI mentioned above (§2.2.1).
The remarkable agreement with exact 3D simulations of finite versions of those systems reveal the GPP approach as a reliable procedure to study accurately and with moderate computing resources the strain and electric field distribution in elongated piezoelectric systems.
Many finite versions of harmonic number sum identities also exist in the literature, for example in [7], we have ∑ n = 0 p − 1 n p n H n + b 2 = 2 H p − 1 − H p + b − H b p p + b b, Open image in new window (10).
Discrete algebras include: boolean algebra used in logic gates and programming; relational algebra used in databases; discrete and finite versions of groups etc. Consult your math teacher.
The heat transport out of a fuel element is determined from a finite difference version of the Fourier heat conduction equation applied in the radial direction only.
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