echelon

/ˈeɪ-//ˈɛʃəˌlɑn/

noun

  1. 1

    A level or rank in an organization, profession, or society.

  2. 2

    A line of riders seeking maximum drafting in a crosswind, resulting in a diagonal line across the road.

  3. 3

    A formation of troops, ships, etc., in diagonal parallel rows.

verb

  1. 1

    To form troops into an echelon.

adjective

  1. 1

    Of a matrix: having undergone Gaussian elimination with the result that the leading coefficient or pivot (that is, the first nonzero number from the left) of a nonzero row is to the right of the pivot of the row above it, giving rise to a stepped appearance in the matrix.

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