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Among his notable publications: Sketch of the Analytical Engine Invented by Charles Babbage, Esq. with notes by translator Ada Lovelace (1842), which described many aspects of computer architecture and programming.
Charles Babbage owned one of these portraits; it inspired him in using perforated cards in his analytical engine.
Working alone, Ludgate designed an Analytical Engine while unaware of Charles Babbage's designs, although he later went on to write about Babbage's machine.