Аннотация к книге "Absolute Presentation of a Group"
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, one method of defining a group is by an absolute presentation. Recall that to define a group by means of a presentation, one specifies a set of generators so that every element of the group can be written as a product of some of these generators, and a set of relations among those generators. In symbols, Informally is the group generated by the set such...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, one method of defining a group is by an absolute presentation. Recall that to define a group by means of a presentation, one specifies a set of generators so that every element of the group can be written as a product of some of these generators, and a set of relations among those generators. In symbols, Informally is the group generated by the set such that for all . But here there is a tacit assumption that is the "freest" such group as clearly the relations are satisfied in any homomorphic image of . One way of being able to eliminate this tacit assumption is by specifying that certain words in should not be equal to 1. That is we specify a set , called the set of irrelations, such that for all .
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Наверняка вы знакомы с таким литературным приемом, как "роман в романе". Но это встречается не только в литературе, но и в программировании. Шаблоны в C++ — это, по сути, целый язык в языке (к тому же язык Тьюринг-полный), который достоин отдельных книг, и не просто книг — а шедевров. И это при том, что метапрограммирование — всего лишь одна из многих возможностей, предоставляемых программисту современными...
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