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Thus not only the mental and the material, but the theoretical and the practical in the mathematical world, are brought into more intimate and effective connection with each other.

Ada Lovelace

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Ada Lovelace
Age: 36 †
Born: 1815
Born: December 10
Died: 1852
Died: November 27
Computer Scientist
Countess Of Lovelace
Engineer
Inventor
Mathematician
Poet
Programmer
Translator
Writer
London
England
Augusta Ada Byron
Lady Ada
Augusta Ada King
Countess of Lovelace
Ada Byron
Augusta Ada King
Ada King
Augusta Ada King-Noel
Countess of Lovelace
Material
Practical
Brought
Connection
Materials
Mathematical
World
Intimate
Effective
Connections
Mental
Theoretical
Thus
Practicals

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That brain of mine is something more than merely mortal as time will show.
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The intellectual, the moral, the religious seem to me all naturally bound up and interlinked together in one great and harmonious whole.
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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.
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The Analytical Engine has no pretensions whatever to originate anything. It can do whatever we know how to order it to perform.
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Forget this world and all its troubles and if possible its multitudinous Charlatans-- everything in short but the Enchantress of Numbers.
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It may be desirable to explain, that by the word operation, we mean any process which alters the mutual relation of two or more things, be this relation of what kind it may. This is the most general definition, and would include all subjects in the universe.
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It must be evident how multifarious and how mutually complicated are the considerations which the working of such an engine involve. There are frequently several distinct sets of effects going on simultaneously all in a manner independent of each other, and yet to a greater or less degree exercising a mutual influence.
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In considering any new subject, there is frequently a tendency, first, to overrate what we find to be already interesting or remarkable and, secondly, by a sort of natural reaction, to undervalue the true state of the case, when we do discover that our notions have surpassed those that were really tenable
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I never am really satisfied that I understand anything because, understand it well as I may, my comprehension can only be an infinitesimal fraction of all I want to understand about the many connections and relations which occur to me, how the matter in question was first thought of or arrived at, etc., etc.
Ada Lovelace
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We cannot forbear suggesting one practical result which it appears to us must be greatly facilitated by the independent manner in which the engine orders and combines its operations: we allude to the attainment of those combinations into which imaginary quantities enter.
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A new, a vast, and a powerful language is developed for the future use of analysis, in which to wield its truths so that these may become of more speedy and accurate practical application for the purposes of mankind than the means hitherto in our possession have rendered possible.
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One essential object is to choose that arrangement which shall tend to reduce to a minimum the time necessary for completing the calculation.
Ada Lovelace
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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.
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The Analytical Engine, on the contrary, can either add, subtract, multiply or divide with equal facility and performs each of these four operations in a direct manner, without the aid of any of the other three.
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The more I study, the more insatiable do I feel my genius for it to be.
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Understand well as I may, my comprehension can only be an infinitesimal fraction of all I want to understand.
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Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers. Wherever terms have a shifting meaning, independent sets of considerations are liable to become complicated together, and reasoning and results are frequently falsified.
Ada Lovelace
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But the science of operations, as derived from mathematics more especially, is a science of itself, and has its own abstract truth and value just as logic has its own peculiar truth and value, independently of the subjects to which we may apply its reasonings and processes.
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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.
Ada Lovelace
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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 to making available what we are already acquainted with.
Ada Lovelace