| He showed that a finitely generated group in which the order of every element divides 6 must be finite. |
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| The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group. |
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| Horwich recognizes that if he used substitutional quantifiers, his theory would be finitely statable. |
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| If the tiling problem for monotiles with finitely many vertices and edges is undecidable, then there is no finite upper bound on Heesch numbers. |
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| In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. |
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| He only accepted mathematical objects that could be constructed finitely from the intuitively given set of natural numbers. |
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| Using the fact that polynomial rings are Noetherian, show that every finitely generable commutative ring is finitely presentable. |
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| The basic examples are the free products of a finitely generated free group and a finite family of finite groups, with natural generators. |
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| Thus situations have negations, and any finitely many situations can be combined conjunctively and disjunctively. |
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| The program may be complicated, but it can only be finitely long. |
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| Chatton's point is that any potential division of the line is in fact finite, and can yield at most finitely many parts. |
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| We are finitely little for these infinite splendours but God the Creator is too great for anything less. |
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| As a corollary to this theorem Higman proved the existence of a universal finitely presented group containing every finitely presented group as a subgroup. |
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| In another paper that will appear in the Annals, they show that a non-trivial admissible normal function on a curve can have only finitely many zeros. |
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| The theory must be characterized by a choice of finitely many parameters, which could, in principle, be set by experiment. |
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| König also observed that the argument extends to the second number class and a similar paradox could be obtained by considering the collection FOD of finitely definable countable ordinals. |
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| We show that a finitely generated group G which satisfies a certain condition with respect to the Macaev norm is supramenable. |
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| Do we need finitely many mirrors or a infinite number of them? |
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| From experience, we can gain the concept of a being with finite amounts of various perfections, one, for example, that is finitely knowledgeable, powerful and good. |
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| The existence of a solution to this problem is related to the notion of conglomerability, originally introduced by Dubins to study finitely additive conditional probability. |
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