The above examples, the irrationals and the rationals, are also dense sets in their topological space, namely \ mathbb { R }.
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*PM : examples of nowhere dense sets, id = 9419 new !-- WP guess : examples of nowhere dense sets-- Status:
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*PM : examples of nowhere dense sets, id = 9419 new !-- WP guess : examples of nowhere dense sets-- Status:
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The same trick works in any space that has a dense set with empty interior . talk ) 20 : 47, 15 December 2005 ( UTC)
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In this case, structurally stable systems are " typical ", they form an open dense set in the space of all systems endowed with appropriate topology.
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Among his contributions to real analysis there is the construction, dated 1906, of non-constant, everywhere differentiable functions, with derivative vanishing on a dense set.
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:An interesting subclass is the family of all derivatives that vanish on a dense set, and they are named a 14 : 20, 9 December 2011 ( UTC)
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In general, kinetic treatments of gelation result in large, unwieldy, and dense sets of equations that give answers not discernibly better than those given by the statistical approach.
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Furthermore, the graph of the rose in this case forms a dense set ( i . e ., it comes arbitrarily close to every point in the unit disk ).
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The points of the plane ( other than the origin ) can be divided into two dense sets which we may call " A " and " B ".
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