Ada Lovelace Quotes

This one fact implies everything; and it is scarcely necessary to point out, for instance, that while the Difference Engine can merely tabulate, and is incapable of developing, the Analytical Engine can either tabulate or develope.

The Analytical Engine is an embodying of the science of operations, constructed with peculiar reference to abstract number as the subject of those operations.

The Difference Engine can in reality (as has been already partly explained) do nothing but add; and any other processes, not excepting those of simple subtraction, multiplication and division, can be performed by it only just to that extent in which it is possible, by judicious mathematical arrangement and artifices, to reduce them to a series of additions.

In the case of the Analytical Engine, we have undoubtedly to lay out a certain capital of analytical labour in one particular line, but this is in order that the engine may bring us in a much larger return in another line.

Many persons who are not conversant with mathematical studies imagine that because the business of [Babbage’s Analytical Engine] is to give its results in numerical notation, the nature of its processes must consequently be arithmetical and numerical, rather than algebraical and analytical. This is an error. The engine can arrange and combine its numerical quantities exactly as if they were letters or any other general symbols; and in fact it might bring out its results in algebraical notation, were provisions made accordingly.

The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform.

In studying the action of the Analytical Engine, we find that the peculiar and independent nature of the considerations which in all mathematical analysis belong to operations, as distinguished from the objects operated upon and from the results of the operations performed upon those objects, is very strikingly defined and separated.

'You might think of combinatorics as a machine too', the major says. 'A different sort of machine, though. Have you heard of Babbage's analytic engine? He never built it. ... I have an analytic machine of my own-right here.' He taps his own skull.

With four? Doing a little... Addition? Multiplication?

Indeed we may consider the engine as the material and mechanical representative of analysis, and that our actual working powers in this department of human study will be enabled more effectually than heretofore to keep pace with our theoretical knowledge of its principles and laws, through the complete control which the engine gives us over the executive manipulation of algebraical and numerical symbols.

The whole of the developments and operations of analysis are now capable of being executed by machinery ... As soon as an Analytical Engine exists, it will necessarily guide the future course of science.

From the time I was 7, when I purchased my first calculator, I was fascinated by the idea of a machine that could compute things.

Mr. Herschel... brought with him the calculations of the computers, and we commenced the tedious process of verification. After a time many discrepancies occurred, and at one point these discordances were so numerous that I exclaimed, "I wish to God these calculations had been executed by steam," to which Herschel replied, "It is quite possible."

The Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine… Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.

Keep computations to the lowest level of the multiplication table.

There is then no analogy whatever between the operations of the Chess-Player, and those of the calculating machine of Mr. Babbage , and if we choose to call the former a pure machine we must be prepared to admit that it is, beyond all comparison, the most wonderful of the inventions of mankind.

I continued to do arithmetic with my father, passing proudly through fractions to decimals. I eventually arrived at the point where so many cows ate so much grass, and tanks filled with water in so many hours. I found it quite enthralling.

My basic mathematics is rather weak, so when some of the theories are broken into equations, I get rather lost.

The introduction of numbers as coordinates by reference to the particular division scheme of the open one-dimensional continuum is an act of violence whose only practical vindication is the special calculatory manageability of the ordinary number continuum with its four basic operations.

"She can't do Subtraction." said the White Queen. "Can you do Division? Divide a loaf by a knife-what's the answer to that?" "I suppose-" Alice was beginning, but the Red Queen answered for her. "Bread-and-butter, of course."

Two times two is twenty-two, four times four is forty-four. When numbers get serious, they leave a mark on your door.

Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite , which dislocate all mathematical operations.

"She can't do sums a bit!" the Queens said together, with great emphasis. "Can you do sums?" Alice said, turning suddenly on the White Queen, for she didn't like being found fault with so much. The Queen gasped and shut her eyes. "I can do Addition, if you give me time-but I can do Subtraction, under any circumstances!"

I wish to God these calculations had been executed by steam.

I can show you that the art of calculation has to do with odd and even numbers in their numerical relations to themselves and to each other.