Quote: Lovelace showed the steps for computing the Bernoulli numbers with cycles of cycles of operations

Quotation

We will terminate these Notes by following up in detail the steps through which the [analytic] engine could compute the Numbers of Bernoulli, this being ... a rather complicated example of its powers. ... [p. 293] If we now apply the notation for cycles ..., we may express the operations for computing the Numbers of Bernoulli in the following manner:-(1...7), (24, 25) .........gives B_1 [followed by additional lines for each Bernoulli number and the program for all numbers presented as a cycle of cycles.] ... [p. 296] Diagram for the computation by the Engine of the Numbers of Bernoulli [with columns] Number of Operation [i.e., index], Nature of Operation [e.g., '+'], Variables acted upon, Variables receiving results, Indication of change in the value on any Variable, Statement of Results, Data [V_1 ...], Working Variables [V_3 ...], Result Variables [V_21 ...]   Google-1   Google-2

Published before 1922

Additional Titles

Quote: Lovelace used a tabular definition with operations, variables, working variables and results

Related Topics

Topic: history of programming (91 items)
Topic: statistics (12 items)
Topic: programming with forms (26 items)