Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers.… — Ada Lovelace Copy Share Image
Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its… — Ada Lovelace Copy Share Image
With whomsoever or wheresoever may rest the present causes of difficulty that apparently exist towards either the completion of the old engine,… — Ada Lovelace Copy Share Image
One main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on,… — Ada Lovelace Copy Share Image
We might even invent laws for series or formula in an arbitrary manner, and set the engine to work upon them, and… — Ada Lovelace Copy Share Image
We cannot forbear suggesting one practical result which it appears to us must be greatly facilitated by the independent manner in which… — Ada Lovelace Copy Share Image
The method of differences is, in fact, a method of additions; and as it includes within its means a larger number of… — Ada Lovelace Copy Share Image
In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all… — 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… — Ada Lovelace Copy Share Image
The further we analyse the manner in which such an engine performs its processes and attains its results, the more we perceive… — 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
