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  2. Employment record book - Wikipedia

    en.wikipedia.org/wiki/Employment_Record_Book

    Employment record book. An employment record book is an official personal document recording the employment status of its owner over time. Some European countries issue such documents, others did earlier. The first employment record books are said to have been issued in German Reich in 1892 in the mining industry. [1]

  3. Partially ordered set - Wikipedia

    en.wikipedia.org/wiki/Partially_ordered_set

    This partially ordered set does not even have any maximal elements, since any g divides for instance 2g, which is distinct from it, so g is not maximal. If the number 1 is excluded, while keeping divisibility as ordering on the elements greater than 1, then the resulting poset does not have a least element, but any prime number is a minimal ...

  4. Maximal and minimal elements - Wikipedia

    en.wikipedia.org/wiki/Maximal_and_minimal_elements

    The notions of maximal and minimal elements are weaker than those of greatest element and least element which are also known, respectively, as maximum and minimum. The maximum of a subset of a preordered set is an element of which is greater than or equal to any other element of and the minimum of is again defined dually.

  5. Hausdorff maximal principle - Wikipedia

    en.wikipedia.org/wiki/Hausdorff_maximal_principle

    Hausdorff maximal principle. In mathematics, the Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168). It states that in any partially ordered set, every totally ordered subset is contained in a maximal totally ordered subset, where "maximal" is with respect to ...

  6. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    Infimum and supremum. A set of real numbers (hollow and filled circles), a subset of (filled circles), and the infimum of Note that for totally ordered finite sets, the infimum and the minimum are equal. A set of real numbers (blue circles), a set of upper bounds of (red diamond and circles), and the smallest such upper bound, that is, the ...

  7. List of sundown towns in the United States - Wikipedia

    en.wikipedia.org/wiki/List_of_sundown_towns_in...

    A sundown town is an all-white community that shows or has shown hostility toward non-whites. Sundown town practices may be evoked in the form of city ordinances barring people of color after dark, exclusionary covenants for housing opportunity, signage warning ethnic groups to vacate, unequal treatment by local law enforcement, and unwritten rules permitting the harassment of non-whites.

  8. Minor (linear algebra) - Wikipedia

    en.wikipedia.org/wiki/Minor_(linear_algebra)

    Minor (linear algebra) This article is about a concept in linear algebra. For the concept of "minor" in graph theory, see Graph minor. In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns. Minors obtained by removing just one row and one column ...

  9. Extreme value theorem - Wikipedia

    en.wikipedia.org/wiki/Extreme_value_theorem

    A continuous function on the closed interval showing the absolute max (red) and the absolute min (blue). In calculus, the extreme value theorem states that if a real-valued function is continuous on the closed and bounded interval , then must attain a maximum and a minimum, each at least once.