| 1. | The components of the vector are commensurable ( in duration ).
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| 2. | The invariant trace field of Fuchsian groups is stable under taking commensurable groups.
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| 3. | Further, every resultant is clearly traceable in its components, because these are homogeneous and commensurable.
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| 4. | Liberty and equality, freedom and order, justice and mercy will not be commensurable with one another.
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| 5. | If this is instrumental, every theory that refers to the same language of observation will be commensurable.
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| 6. | More generally if two groups are commensurable then one is hyperbolic if and only if the other is.
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| 7. | If lattices are incommensurable, friction was not observed, however, if the surfaces are commensurable, friction force is present.
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| 8. | The exposition of the theory of proportions that appears in Book VII of The Elements reflects the earlier theory of ratios of commensurables.
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| 9. | The dihedral angle of a tetrahedron is not commensurable with 2; consequently, a hole remains between two faces of neighboring tetrahedra.
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| 10. | A consequence of Mostow rigidity of interest in geometric group theory is that there exists hyperbolic groups which are commensurable to each other.
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