In note D she said her denoted variable tables were just another version of Menabrea’s table. Also, Babbage showed her there were three types of variable cards, which she included in the note.
Note E was about working with trigonometric functions, and she even found some mistakes in Menabrea's article regarding trigonometry. Essentially, Note E showed how useful the Analytical Engine could be once again, though it was more for an expert than an average reader. Note F showed examples of how the Analytical Engine could solve complex problems using cards effectively to increase performance and decrease the number of cards needed. That essentially means that this note showed optimization. Furthermore, the note showed that the engine could potentially solve problems that would take a huge amount of time for any person to do. Moreover, she said in the note that the Analytical Engine could be used to solve problems that would not really serve any practical use, like generating primes.
Note E was about working with trigonometric functions, and she even found some mistakes in Menabrea's article regarding trigonometry. Essentially, Note E showed how useful the Analytical Engine could be once again, though it was more for an expert than an average reader. Note F showed examples of how the Analytical Engine could solve complex problems using cards effectively to increase performance and decrease the number of cards needed. That essentially means that this note showed optimization. Furthermore, the note showed that the engine could potentially solve problems that would take a huge amount of time for any person to do. Moreover, she said in the note that the Analytical Engine could be used to solve problems that would not really serve any practical use, like generating primes.
“The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform. It can follow analysis; but it has no power of anticipating any analytical relations or truths. Its province is to assist us in making available what we are already acquainted with. This it is calculated to effect primarily and chiefly of course, through its executive faculties; but it is likely to exert an indirect and reciprocal influence on science itself in another manner. For, in so distributing and combining the truths and the formulæ of analysis, that they may become most easily and rapidly amenable to the mechanical combinations of the engine, the relations and the nature of many subjects in that science are necessarily thrown into new lights, and more profoundly investigated. This is a decidedly indirect, and a somewhat speculative, consequence of such an invention. It is however pretty evident, on general principles, that in devising for mathematical truths a new form in which to record and throw themselves out for actual use, views are likely to be induced, which should again react on the more theoretical phase of the subject. There are in all extensions of human power, or additions to human knowledge, various collateral influences, besides the main and primary object attained..”(Ada Lovelace Note G)
Thus the Analytical Engine couldn't essentially make its own programs. It continues and “sums up” the way the Analytical Engine works. The note ended with arguably the most influential part of her notes, that is, she wrote what made her truly “the world’s first computer programmer.” This was because she showed how the Analytical Engine could calculate the Bernoulli numbers, effectively writing a program. This also showed how the engine would compute the numbers without human computations.