| 1. | For simple roots, Anderson-Bj�rk was the clear winner in Galdino's numerical tests.
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| 2. | Because the simple roots span a Euclidean space, S is positive definite.
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| 3. | Two simple roots which are not joined by a line are orthogonal.
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| 4. | Modern motion platforms have become complicated machines, but they have simpler roots.
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| 5. | This is equivalent to the choice of a set of simple roots.
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| 6. | Also some of the simple roots vanish on " S ".
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| 7. | Consider a root, so, and assume first that it is a simple root.
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| 8. | Consequently, the simplest roots have an onset and coda consisting of one consonant each.
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| 9. | Developed as a bridge between the theory of simple root.
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| 10. | In mathematics, the "'Littelmann path model "'is a simple roots of the Lie algebra.
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