| 21. | Serre s criterion gives a necessary and sufficient condition for a quasi-compact scheme to be affine.
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| 22. | What's a necessary and sufficient condition to guarantee that the truck can always run over the person?
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| 23. | You need an EXPLOSION, and one at SEA, the two necessary and sufficient conditions for a disaster.
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| 24. | But one might worry that these so-called necessary and sufficient conditions do not apply in every case.
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| 25. | Analogous necessary and sufficient conditions for a " null electrovacuum " have been found by Charles Torre.
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| 26. | Necessary and sufficient conditions for this are that their degrees of belief satisfy the axioms of probability.
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| 27. | Can we list the necessary and sufficient conditions such that any action which satisfies these conditions is wrong?
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| 28. | For certain classes of ODEs, the existence of Lyapunov functions is a necessary and sufficient condition for stability.
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| 29. | This formula is a necessary and sufficient condition for all irreducible representations of a group up to isomorphism.
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| 30. | In a paper from 1936 he proved a necessary and sufficient condition for a function to be measurable.
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