In 1927 Schur, in his work " On the rational representations of the general linear group ", gave new proofs for the main results of his dissertation.
2.
Then " F " is the real numbers or the complex numbers, and there is a rational representation of " G " giving rise to ? by restriction.
3.
This study allows the best rational representation of irrational numbers in all the fixed-precision numerical computations for all real-world problems making the quality of the result / output the best.
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Today, Dupin cylides are used in computer-aided design ( CAD ), because cyclide patches have rational representations and are suitable for blending canal surfaces ( cylinder, cones, tori, and others ).
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In the setting of Sato, " G " is an algebraic group and " V " is a rational representation of " G " which has a ( nonempty ) open orbit in the Zariski topology.