What is one of Ada Byron lovelace's famous quotes?

Br /> Note A From " The difference Engine " By Charles Babbage, Notes by Ada Lovelace. " The confusion, the difficulties, the contradictions which, in consequence of want of accurate distinctions in this particular, have up to even a recent period encumbered mathematics . .

. 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 .

. . They will also be aware that one main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation.

First, the symbols of operation are frequently also the symbols of the results of operations . . .

Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers e.g., 2 and 32 . . .

In the Analytical Engine . . .

Whenever numbers meaning operations and not quantities (such as indices of powers), are inscribed on any column or set of columns, those columns immediately act in a wholly separate and independent manner . . ." " Again, it 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."

Note A From " The difference Engine " By Charles Babbage, Notes by Ada Lovelace. " The confusion, the difficulties, the contradictions which, in consequence of want of accurate distinctions in this particular, have up to even a recent period encumbered mathematics . .

. 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 .

. . They will also be aware that one main reason why the separate nature of the science of operations has been little felt, and in general little dwelt on, is the shifting meaning of many of the symbols used in mathematical notation.

First, the symbols of operation are frequently also the symbols of the results of operations . . .

Secondly, figures, the symbols of numerical magnitude, are frequently also the symbols of operations, as when they are the indices of powers e.g., 2 and 32 . . .

In the Analytical Engine . . .

Whenever numbers meaning operations and not quantities (such as indices of powers), are inscribed on any column or set of columns, those columns immediately act in a wholly separate and independent manner . . ." " Again, it 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.

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