William Whewell, coined the term scientist to suggest the connection among these disciplines. II. Specifically, he wanted to use the method of divided differences to closely approximate logarithmic and trigonometric functions. III. Named after the seventeenth-century Swiss mathematician Jacob Bernoulli, who studied the sums of powers of consecutive integers, they play an intriguing role in number theory, mathematical analysis, and differential topology. IV. Ada’s example involved tabulating polynomials using difference techniques as a subfunction, which required a nested loop structure with a
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