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The concrete expressions of the corresponding condition numbers are given in mathematical forms and the solvability by these methods is mathematically proven.
Eliasson invites comparison to Buckminster Fuller, with whom he shares an interest in the aesthetics and the utility of mathematical forms, and to the artists Robert Irwin and James Turrell and the idea of "seeing yourself seeing".
Computer technology allows us to visualize mathematical forms and relationships in new detail using, among other techniques, 3D modeling and animation.
The model uses more appropriate mathematical forms and includes significant factors ignored previously by others which makes it not only more rational and accurate but also simpler than other existing models reported in the literature.
"Probability distributions" section gives the mathematical forms and the estimation of the exponents (or constants).
Also in the realm of ideas about beauty in nature is that the perfect is implied through perfect mathematical forms and more generally by patterns in nature.
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Control principles are always expressed in mathematical form and are potentially applicable to any concrete situation.
Study of the fundamental phenomena upon which chemical engineering is based has necessitated their description in mathematical form and has led to more sophisticated mathematical techniques.
Machine-learning potentials usually take a bias-free mathematical form and can be readily developed for a wide variety of systems.
Electrical engineering may be said to have emerged as a discipline in 1864 when the Scottish physicist James Clerk Maxwell summarized the basic laws of electricity in mathematical form and showed that radiation of electromagnetic energy travels through space at the speed of light.
In this study, we suggest a customized model describing optical phenomena at the surface of a lenticular array for autostereoscopic displays in a mathematical form and analyzed the optical characteristics of lenticular array for the first time.
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