The confusion, the difficulties, the contradictions which, in consequence of a want of accurate distinctions in this particular, have up to even a recent period encumbered mathematics in all those branches involving the consideration of negative and impossible quantities, will… — Ada Lovelace Copy Share Image
In abstract mathematics, of course operations alter those particular relations which are involved in the considerations of number and space, and the results of operations are those peculiar results which correspond to the nature of the subjects of operation. — Ada Lovelace Copy Share Image
The ideas which led to the Analytical Engine occurred in a manner wholly independent of any that were connected with the Difference Engine. These… — Ada Lovelace Copy Share Image
Those who incline to very strictly utilitarian views may perhaps feel that the peculiar powers of the Analytical Engine bear upon questions of abstract… — Ada Lovelace Copy Share Image
We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves. — Ada Lovelace Copy Share Image
Indeed we may consider the engine as the material and mechanical representative of analysis, and that our actual working powers in this department of… — Ada Lovelace Copy Share Image
This one fact implies everything; and it is scarcely necessary to point out, for instance, that while the Difference Engine can merely tabulate, and… — Ada Lovelace Copy Share Image
The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform... But it… — Ada Lovelace Copy Share Image
In enabling mechanism to combine together general symbols in successions of unlimited variety and extent, a uniting link is established between the operations of… — Ada Lovelace Copy Share Image
The object of the engine is in fact to give the utmost practical efficiency to the resources of numerical interpretations of the higher science… — Ada Lovelace Copy Share Image
Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms… — Ada Lovelace Copy Share Image
“The Analytical Engine weaves algebraic patterns, just as the Jacquard loom weaves flowers and leaves.” — Ada Lovelace Copy Share Image
In considering any new subject, there is frequently a tendency, first, to overrate what we find to be already interesting or remarkable; and, secondly,… — Ada Lovelace Copy Share Image
