Moreover, to control error, the unfactoring ( multiplying the found roots together ) is done in the FFT domain ( for degree larger than 500 ) and the deflation is done partly in the FFT domain and partly in the coefficient domain, depending on a combination of stability, error accumulation, and speed factors.
2.
The initial plan for the lectures, outlined by Chambers in a June 28, 1946, memorandum, was for them to be grouped into four major headings, with the second and third being presented concurrently after the completion of the first : "'General Introduction to Computing "', covering the history, types, and uses of computing devices; "'Machine Elements "', focusing on hardware and, indeed, software, under the term " code and control "; "'Detailed Study of Mathematics of Problems "', what today might constitute a course in programming, including the Goldstine / Burks lectures on numerical mathematical methods and Mauchly's lectures on sorting, decimal-binary conversion and error accumulation; and finally a series of lectures on overall machine design called "'Final Detailed Presentation of Three Machines "', though it actually came to include six machines, including the ENIAC, which despite its fame had not been an intended focus of any of the lectures.
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