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Duplicating machines were the predecessors of modern document-reproduction technology. They have now been replaced by digital duplicators, scanners , laser printers , and photocopiers , but for many years they were the primary means of reproducing documents for limited-run distribution.
A Polygraph is a duplicating device that produces a copy of a piece of writing simultaneously with the creation of the original, using pens and ink. Patented by John Isaac Hawkins on May 17, 1803, it was most famously used by the third U.S. president, Thomas Jefferson , who acquired his first polygraph in 1804 and later suggested improvements ...
A Xerox digital photocopier in 2010. A photocopier (also called copier or copy machine, and formerly Xerox machine, the generic trademark) is a machine that makes copies of documents and other visual images onto paper or plastic film quickly and cheaply.
A mimeograph machine (often abbreviated to mimeo, sometimes called a stencil duplicator or stencil machine) was a low-cost duplicating machine that worked by forcing ink through a stencil onto paper. [1] The process was called mimeography, and a copy made by the process was a mimeograph.
A spirit duplicator (also Rexograph and Ditto machine in North America, Banda machine and Fordigraph machine in the U.K. and Australia) is a printing method invented in 1923 by Wilhelm Ritzerfeld, which was used for most of the 20th century. The term "spirit duplicator" refers to the alcohols that were the principal solvents used in generating ...
A term rewriting given by a set of rules can be viewed as an abstract rewriting system as defined above, with terms as its objects and as its rewrite relation. For example, x ∗ ( y ∗ z ) → ( x ∗ y ) ∗ z {\displaystyle x*(y*z)\rightarrow (x*y)*z} is a rewrite rule, commonly used to establish a normal form with respect to the ...