| 11. | Some basic properties include monotonicity and diagonal jump.
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| 12. | By the monotonicity assumption, George still strictly prefers Y'to X '.
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| 13. | By the monotonicity of the Lebesgue integral.
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| 14. | Some modifications to STV have been proposed in order to pass monotonicity and other criteria.
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| 15. | In one approach the preserved monotonicity trait is the line " L ".
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| 16. | This inequality is called "'Monotonicity of quantum relative entropy . "'
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| 17. | Double Monotonicity models are used most often.
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| 18. | However, mentioning monotonicity helps to avoid confusion about the two alternative notions of Galois connections.
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| 19. | This second change ( a removal caused by an addition ) violates the condition of monotonicity.
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| 20. | All forms of STV that reduce to IRV in single winner elections fail the monotonicity criterion.
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