Sentence examples for free constructions from inspiring English sources

In general, the question about residual finiteness of free constructions is very difficult.

One of the standard ways to produce algorithmically complicated groups is by simulating Turing machines using free constructions (HNN extensions and amalgamated products) which goes back to the seminal papers by Boone and Novikov (see, for example, [54]).

But in fact, it can be shown that for each known version of the proof of Boone Novikov theorem using free constructions, even for easy Turing machines the corresponding group is non-residually finite.

The reason for the lack of more examples is that groups obtained by free constructions from "nice" groups contain a lot of extra elements and it is not at all clear how to separate these elements from 1 by homomorphisms onto finite groups.

He was the co-chair of the building committee, and his firm, Forest City Ratner Companies, provided free construction project management for the museum's expansion, the Robert M. Morgenthau Wing, which opened in 2003.

This summer, it enrolled 10 high school girls in a free construction camp, where Ms. Hodge showed them how to thread electrical wires through siding while talking up opportunities for travel and the good pay -- perhaps $80,000 a year with overtime.

In the present work for the anonymization process over these groups hierarchy free construction is used.

For example, it has been suggested that the mathematical connection between the way events are perceived to be ordered and the underlying temporal dimension is essentially that of a free construction (in the category-theoretic sense) of linear orderings from event orderings, induced by the binary relation x wholly precedes y [Thomason 1989].

In 2011, Reuters reported that Makhlouf had total or partial monopolies in Syria's telecommunications, real estate, oil, airline, duty free, construction and import sectors.

The Hong Kong government allocated land to Harrow for a nominal fee, and also gave it an interest-free construction loan worth 273 million Hong Kong dollars, or $35 million, The South China Morning Post reported.

The Giants may be able to finance half the cost of the renovations through a league program that provides teams with interest-free construction loans repaid with club seat revenue it would not share with visiting clubs.