A Quote by Ada Lovelace
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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To solve the human equation, we need to add love, subtract hate, multiply good, and divide between truth and error.
The Analytical Engine is an embodying of the science of operations, constructed with peculiar reference to abstract number as the subject of those operations.
"I am not much of a mathematician," said the cigarette, "but I can add to a man's nervous troubles, I can subtract from his physical energy, I can multiply his aches and pains, I can divide his mental powers, I take interest from his work, and discount his chances for success."
The ideas which led to the Analytical Engine occurred in a manner wholly independent of any that were connected with the Difference Engine. These ideas are indeed, in their own intrinsic nature, independent of the latter engine and might equally have occurred had it never existed nor even been thought of at all.
Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion.
For each glass, liberally large, the basic ingredients begin with ice cubes in a shaker and three or four drops of Angostura bitters on the ice cubes. Add several twisted lemon peels to the shaker, then a bottle-top of dry vermouth, a bottle-top of Scotch, and multiply the resultant liquid content by five with gin, preferably Bombay Sapphire. Add more gin if you think it is too bland... I have been told, but have no personal proof that it is true, that three of these taken in the course of an evening make it possible to fly from New York to Paris without an airplane.
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.
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.
According to the celestial multiplication table, once one is three, and three times one is one, and according to heavenly subtraction if we take two from three, three are left. The addition is equally peculiar, if we add two to one we have but one. Each one is equal to himself and the other two.
32 grams raw, chop it in half, get 16. Double it times three, we got 48. Which mean a whole lot of cream. Divide the profit by four. Subtract it by eight. We back to 16.
Capital can seldom be made productive, without undergoing several changes both of form and of place, the risk of which is always more or less alarming to persons unaccustomed to the operations of industry; whereas, on the contrary, landed property produces without any change of either quality or position.
Take a relief. You draw it, you carve it out. Later you build it up from a flat surface. There is no other way to do a sculpture - you either add or you subtract.
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.
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.
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.
As soon as an Analytical Engine exists, it will necessarily guide the future course of the science. Whenever any result is sought by its aid, the question will then arise — by what course of calculation can these results be arrived at by the machine in the shortest time?
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