Smith clearly didn't give a fuck about the goodness or properness of her singing voice.
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The formality and the properness of the English was like a field day for me and Will.
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This combination tones down the prim-and-properness we might see on Cher — and offers more of the punk sensibility we've grown to love on Maisie.
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Hong Kong's Securities and Futures Commission (SFC) said it considered Leissner's conduct demonstrated "a serious lack of honesty and integrity" and called into question his fitness and properness to be a licensed person.
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Hong Kong's Securities and Futures Commission (SFC) said it considered that Leissner's conduct demonstrated "a serious lack of honesty and integrity" and called into question his fitness and properness to be a licensed person.
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It knows the original version wasn't just revolutionary because it was overtly ridiculous and sexual, but because it was defiant rejection of the postwar era's properness (represented by Brad and Janet slowly shedding their pastel clothes).
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This is a discrete valuation ring. This is useful for building intuition with the Valuative criterion of properness.
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This is one instance of the geometric unsuitability of the Zariski topology. Grothendieck solved this problem by defining the notion of properness of a scheme (actually, of a morphism of schemes), which recovers the intuitive idea of compactness: Proj is proper, but Spec is not.
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The morphism taking a complete variety to a point is a proper morphism, in the sense of scheme theory. An intuitive justification of 'complete', in the sense of 'no missing points', can be given on the basis of the valuative criterion of properness, which goes back to Claude Chevalley.
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Example: for any field extension k ⊂ E, the morphism Spec(E) → Spec(k) is faithfully flat and quasi-compact. So the descent results mentioned imply that a scheme X over k is smooth over k if and only if the base change XE is smooth over E. The same goes for properness and many other properties.
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The category of small dg- categories can be endowed with a model category structure such that weak equivalences are those functors that induce an equivalence of derived categories. Given a dg-category C over some ring R, there is a notion of smoothness and properness of C that reduces to the usual notions of smooth and proper morphisms in case C is the category of quasi-coherent sheaves on some scheme X over R.
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In particular, projective spaces satisfy a condition called properness which is analogous to compactness. Affine schemes cannot be proper (except in trivial situations like when the scheme has only a single point), and hence no projective space is an affine scheme (except for zero-dimensional projective spaces). Projective schemes, meaning those that arise as closed subschemes of a projective space, are the single most important family of schemes. Several generalizations of schemes have been introduced.
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One may apply the properness notion to extensive form games in two different ways, completely analogous to the two different ways trembling hand perfection is applied to extensive games. This leads to the notions of normal form proper equilibrium and extensive form proper equilibrium of an extensive form game. It was shown by van Damme that a normal form proper equilibrium of an extensive form game is behaviorally equivalent to a quasi-perfect equilibrium of that game.
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Such a (projective) completion always exists and is unique. If the base field is not perfect, a smooth completion of a smooth affine curve doesn't always exist. But the above process always produces a regular completion if we start with a regular affine curve (smooth varieties are regular, and the converse is true over perfect fields). A regular completion is unique and, by the valuative criterion of properness, any morphism from the affine curve to a complete algebraic variety extends uniquely to the regular completion.
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Znám's problem is named after the Slovak mathematician Štefan Znám, who suggested it in 1972, although other mathematicians had considered similar problems around the same time. One closely related problem drops the assumption of properness of the divisor, and will be called the improper Znám problem hereafter. One solution to the improper Znám problem is easily provided for any k: the first k terms of Sylvester's sequence have the required property. showed that there is at least one solution to the (proper) Znám problem for each k ≥ 5.
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Bolzano distinguishes five meanings the words true and truth have in common usage, all of which Bolzano takes to be unproblematic. The meanings are listed in order of properness: I. Abstract objective meaning: Truth signifies an attribute that may apply to a proposition, primarily to a proposition in itself, namely the attribute on the basis of which the proposition expresses something that in reality is as is expressed. Antonyms: falsity, falseness, falsehood. II. Concrete objective meaning: (a) Truth signifies a proposition that has the attribute truth in the abstract objective meaning.
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LimeWire filed a number of motions challenging the admissibility of evidence submitted by the RIAA.Motions included objections as to the reliability of one expert opinion, the properness of another, failure to identify individuals as witnesses, exclusion as to exhibits purportedly relating to settlement negotiations, exclusion of evidence of conduct outside of limitation period, strikes as to a declaration from a former LimeWire employee, and objections based on relevance, authentication and hearsay. The court found all the evidentiary objections without merit and denied the motions; it did place certain conditions on plaintiffs' future interaction with a specific former LimeWire employee.
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Some important properties P of morphisms of schemes are preserved under arbitrary base change. That is, if X → Y has property P and Z → Y is any morphism of schemes, then the base change X xY Z → Z has property P. For example, flat morphisms, smooth morphisms, proper morphisms, and many other classes of morphisms are preserved under arbitrary base change.. The word descent refers to the reverse question: if the pulled-back morphism X xY Z → Z has some property P, must the original morphism X → Y have property P? Clearly this is impossible in general: for example, Z might be the empty scheme, in which case the pulled- back morphism loses all information about the original morphism. But if the morphism Z → Y is flat and surjective (also called faithfully flat) and quasi- compact, then many properties do descend from Z to Y. Properties that descend include flatness, smoothness, properness, and many other classes of morphisms.. These results form part of Grothendieck's theory of faithfully flat descent.
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