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However, due to mathematical complexity, such direct transformation has not been achieved for three-dimensional generally anisotropic thermoelasticity.
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Mathematical complexity measures such as the Lyapunov exponent, surrogate data analysis, entropy, or even artificial neural networks have been proposed in the past.
The Inferno is so prodigious and of such mathematical complexity that hundreds of artists, from the renaissance to Blake, Rodin, Dali and Rauschenberg, have illustrated the poem without even beginning to exhaust its vision.
The mathematical complexity of Friedrich's model is such that finding solutions analytically or numerically is, in general, impractical.
This paper describes the additional mathematical complexity and code modifications required to simulate such systems.
Such learning resources must have a limited mathematical complexity; hence, the representation should be rather descriptive.
The difficulties with extending it to 3D general anisotropic solids lie in the mathematical complexity of the Green's function and its derivatives for such materials.
During recent decades, a number of stochastic models [ 12- 14] with varying degrees of mathematical complexity have been presented to describe some processes of carcinogenesis, such as cell growth, chemotherapy resistance, and angiogenesis.
Since the mathematical complexity of this model is much greater than population-based models, mathematical analysis (such as considering the dynamical capabilities of individual channels) becomes intractable.
In contrast, the utilisation of such models for control has received limited attention, given their high mathematical complexity.
By Alex Ross Conlon Nancarrow's music combines mathematical complexity with a playful and generous spirit.
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