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The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication , the order of an element a of a group, is thus the smallest positive integer m such that a m = e , where e denotes the identity element of the group, and a m ...
A normal form for a group G with generating set S is a choice of one reduced word in S for each element of G. For example: For example: The words 1, i , j , ij are a normal form for the Klein four-group with S = { i , j } and 1 representing the empty word (the identity element for the group).
Categorization is a type of cognition involving conceptual differentiation between characteristics of conscious experience, such as objects, events, or ideas.It involves the abstraction and differentiation of aspects of experience by sorting and distinguishing between groupings, through classification or typification [1] [2] on the basis of traits, features, similarities or other criteria that ...
In fixed format code, line indentation is significant. Columns 1–6 and columns from 73 onwards are ignored. If a * or / is in column 7, then that line is a comment. Until COBOL 2002, if a D or d was in column 7, it would define a "debugging line" which would be ignored unless the compiler was instructed to compile it. Cobra
In typeset matter, one space, not two should be used between two sentences—whether the first ends in a period, a question mark, an exclamation point, or a closing quotation mark or parenthesis. [27] The Turabian Style, published as the Manual for Writers of Research Papers, Theses, and Dissertations, is widely used in academic writing. The ...
If the image to be captioned is a painting, an editor can give context with the painter's wikilinked name, the title, and a date. The present location may be added in parentheses: . Sometimes the date of the image is important: there is a difference between "King Arthur" and "King Arthur in a 19th-century watercolor".
In the periodic table of the elements, each column is a group. In chemistry, a group (also known as a family) [1] is a column of elements in the periodic table of the chemical elements. There are 18 numbered groups in the periodic table; the 14 f-block columns, between groups 2 and 3, are not numbered.
In linguistics, back-formation is the process of forming a new word by removing actual affixes, or parts of the word that is re-analyzed as an affix, from other words to create a base. [5] Examples include: the verb headhunt is a back-formation of headhunter; the verb edit is formed from the noun editor [5]