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Analogue machines arithmetical operations CALCULATING MACHINES Recent Cambridge card reader Close-up front view computing operations computing sequence connections control switches culations deck designed differential analyser differential equations Digital machines electronic circuits ENIAC equations for y3 equipment example extended computations field final solution Fowler general-purpose machine handle high-speed memory hn+1 I.B.M. Automatic Sequence-Controlled impact on Mathematical integral equation intermediate results iterative method iterative process labour of carrying linear machine's-eye view master programmer Mathematical Physics memory for numbers million multiplications multiplications an hour National Physical Laboratory non-linear numbers is required numerical information numerical integration operating instructions physical problems physical quantities possible practical program lines Prospective Developments punched cards punched tape quadratic expression quadratic form regard relays satisfies the condition sequence of functions sequence of operating set by hand set of simultaneous simultaneous equations slide-rule solution satisfies solutions of differential speed switch position tion trial solutions values of h'(0 y3 and z3 zero