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The algorithm will then find the breakpoints that will minimize the sum of squares of the badness (including penalties) of the resulting lines. If the paragraph contains n {\displaystyle n} possible breakpoints, the number of situations that must be evaluated naively is 2 n {\displaystyle 2^{n}} .
The Knuth–Plass algorithm is a line-breaking algorithm designed for use in Donald Knuth's typesetting program TeX.It integrates the problems of text justification and hyphenation into a single algorithm by using a discrete dynamic programming method to minimize a loss function that attempts to quantify the aesthetic qualities desired in the finished output.
PGF/TikZ is a pair of languages for producing vector graphics (e.g., technical illustrations and drawings) from a geometric/algebraic description, with standard features including the drawing of points, lines, arrows, paths, circles, ellipses and polygons.
LaTeX (/ ˈ l ɑː t ɛ k / ⓘ LAH-tek or / ˈ l eɪ t ɛ k / LAY-tek, [2] [Note 1] often stylized as L a T e X) is a software system for typesetting documents. [3] LaTeX markup describes the content and layout of the document, as opposed to the formatted text found in WYSIWYG word processors like Google Docs, LibreOffice Writer, and Microsoft Word.
Leslie B. Lamport (born February 7, 1941) is an American computer scientist and mathematician.Lamport is best known for his seminal work in distributed systems, and as the initial developer of the document preparation system LaTeX and the author of its first manual.
The Unicode Line Breaking Algorithm determines a set of positions, known as break opportunities, that are appropriate places in which to begin a new line. The actual line break positions are picked from among the break opportunities by the higher level software that calls the algorithm, not by the algorithm itself, because only the higher level ...
The up tack or falsum (⊥, \bot in LaTeX, U+22A5 in Unicode [1]) is a constant symbol used to represent: . The truth value 'false', or a logical constant denoting a proposition in logic that is always false (often called "falsum" or "absurdum").
The offer of a so-called Knuth reward check worth "one hexadecimal dollar" (100 HEX base 16 cents, in decimal, is $2.56) for any errors found, and the correction of these errors in subsequent printings, has contributed to the highly polished and still-authoritative nature of the work, long after its first publication.