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The term cross-reference (abbreviation: xref) can refer to either: . An instance within a document which refers to related information elsewhere in the same document. In both printed and online dictionaries cross-references are important because they form a network structure of relations existing between different parts of data, dictionary-internal as well as dictionary external.
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
An addendum or appendix, in general, is an addition required to be made to a document by its author subsequent to its printing or publication. It comes from the gerundive addendum , plural addenda , "that which is to be added", from addere [ 1 ] ( lit.
footnote marker – the bracketed, superscripted number, letter, or word; like these dummy examples. [1] [a] [Note 1] footnote label – the part between the brackets; following the above example: '1', 'a', or 'Note 1'. footnote – the full note or reference, displayed automatically in an ordered list in the Notes and references appendix of ...
In Example 1 (above), if one does not comprehend the definition of the word "spent," they will misunderstand the entire purpose of the word problem. This alludes to how the cognitive skills lead to the development of the mathematical concepts. Some of the related mathematical skills necessary for solving word problems are mathematical ...
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
The word problem is a well-known example of an undecidable problem. If A {\displaystyle A} is a finite set of generators for G {\displaystyle G} , then the word problem is the membership problem for the formal language of all words in A {\displaystyle A} and a formal set of inverses that map to the identity under the natural map from the free ...
Reference Organizer [1] – is a tool that presents all references in graphical user interface, where you can choose whether the references should be defined in the body of article or in the reference list template(s) (list-defined format). The choice can be applied to all references, to all references with a certain number of uses (citations ...