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  2. Ranking - Wikipedia

    en.wikipedia.org/wiki/Ranking

    In language, the status of an item (usually through what is known as "downranking" or "rank-shifting") in relation to the uppermost rank in a clause; for example, in the sentence "I want to eat the cake you made today", "eat" is on the uppermost rank, but "made" is downranked as part of the nominal group "the cake you made today"; this nominal ...

  3. Ranking (statistics) - Wikipedia

    en.wikipedia.org/wiki/Ranking_(statistics)

    In statistics, ranking is the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted.. For example, if the numerical data 3.4, 5.1, 2.6, 7.3 are observed, the ranks of these data items would be 2, 3, 1 and 4 respectively.

  4. List of countries and dependencies by population density

    en.wikipedia.org/wiki/List_of_countries_and...

    Population density (people per km 2) by country. This is a list of countries and dependencies ranked by population density, sorted by inhabitants per square kilometre or square mile. The list includes sovereign states and self-governing dependent territories based upon the ISO standard ISO 3166-1.

  5. Zipf's law - Wikipedia

    en.wikipedia.org/wiki/Zipf's_law

    For example, when corporations are ranked by decreasing size, their sizes are found to be inversely proportional to the rank. [13] The same relation is found for personal incomes (where it is called Pareto principle [ 14 ] ), number of people watching the same TV channel, [ 15 ] notes in music, [ 16 ] cells transcriptomes , [ 17 ] [ 18 ] and more.

  6. Rank (linear algebra) - Wikipedia

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

    A matrix that has rank min(m, n) is said to have full rank; otherwise, the matrix is rank deficient. Only a zero matrix has rank zero. f is injective (or "one-to-one") if and only if A has rank n (in this case, we say that A has full column rank). f is surjective (or "onto") if and only if A has rank m (in this case, we say that A has full row ...

  7. Trace class - Wikipedia

    en.wikipedia.org/wiki/Trace_class

    Every finite-rank operator is a trace-class operator. Furthermore, the space of all finite-rank operators is a dense subspace of B 1 ( H ) {\displaystyle B_{1}(H)} (when endowed with the trace norm).

  8. Generic property - Wikipedia

    en.wikipedia.org/wiki/Generic_property

    However, density alone is not sufficient to characterize a generic property. This can be seen even in the real numbers, where both the rational numbers and their complement, the irrational numbers, are dense. Since it does not make sense to say that both a set and its complement exhibit typical behavior, both the rationals and irrationals ...

  9. Morphism of algebraic varieties - Wikipedia

    en.wikipedia.org/wiki/Morphism_of_algebraic...

    The image of a morphism of varieties need not be open nor closed (for example, the image of , (,) (,) is neither open nor closed). However, one can still say: if f is a morphism between varieties, then the image of f contains an open dense subset of its closure (cf. constructible set ).