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In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set . There are several variants and generalizations of the lexicographical ordering.
In mathematics, lexicographical order is a means of ordering sequences in a manner analogous to that used to produce alphabetical order. [16] Some computer applications use a version of alphabetical order that can be achieved using a very simple algorithm, based purely on the ASCII or Unicode codes for characters. This may have non-standard ...
ASCII-code order is also called ASCIIbetical order. [34] Collation of data is sometimes done in this order rather than "standard" alphabetical order (collating sequence). The main deviations in ASCII order are: All uppercase come before lowercase letters; for example, "Z" precedes "a" Digits and many punctuation marks come before letters
Japanese writing. In the Japanese language, the gojūon (五十音, Japanese pronunciation: [ɡo (d)ʑɯꜜːoɴ], lit. "fifty sounds") is a traditional system ordering kana characters by their component phonemes, roughly analogous to alphabetical order. The "fifty" ( gojū) in its name refers to the 5×10 grid in which the characters are ...
Pinyin alphabetical order, also called Pinyin-based order, or Pinyin order in short, is a sound-based Chinese character sorting method which has been used for arrangement of entries in Xinhua Dictionary, Xiandai Hanyu Cidian, Oxford Chinese Dictionary [1] and many other modern dictionaries. In this method, Chinese characters are arranged ...
Sorting refers to ordering data in an increasing or decreasing manner according to some linear relationship among the data items. ordering: arranging items in a sequence ordered by some criterion; categorizing: grouping items with similar properties. Ordering items is the combination of categorizing them based on equivalent order, and ordering ...
Natural sort order. In computing, natural sort order (or natural sorting) is the ordering of strings in alphabetical order, except that multi-digit numbers are treated atomically, i.e., as if they were a single character. Natural sort order has been promoted as being more human-friendly ("natural") than machine-oriented, pure alphabetical sort ...
Radix sort is an algorithm that sorts numbers by processing individual digits. n numbers consisting of k digits each are sorted in O(n · k) time. Radix sort can process digits of each number either starting from the least significant digit (LSD) or starting from the most significant digit (MSD). The LSD algorithm first sorts the list by the ...