A Quote by Ada Lovelace
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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The further we analyse the manner in which such an engine performs its processes and attains its results, the more we perceive how distinctly it places in a true and just light the mutual relations and connexion of the various steps of mathematical analysis; how clearly it separates those things which are in reality distinct and independent, and unites those which are mutually dependent.
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.
If people work together in an open way with porous boundaries - that is, if they listen to each other and really talk to each other - then they are bound to trade ideas that are mutual to each other and be influenced by each other. That mutual influence and open system of working creates collaboration.
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together.
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together
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.
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.
There is no patriarchy or matriarchy in the garden; the two supervise each other. Adam is given no arbitrary power; Eve is to heed him only insofar as he obeys their Father--and who decides that? She must keep check on him as much as he does on her. It is, if you will, a system of checks and balances in which each party is as distinct and independent in its sphere as are the departments of government under the Constitution--and just as dependent on each other.
We must travel; we must go to foreign parts. We must see how the engine of society works in other countries, and keep free and open communication with what is going on in the minds of other nations, if we really want to be a nation again.
Our focus needs to be less on what our legacy's going to be or how we can control each other and more how we can give to each other.
In the Small group the individual can know the effects of his actions on his several fellows, and the rules may effectively forbid him to harm them in any manner and even require him to assist them in specific ways. In the Great Society many of the effects of a person's actions on various fellows must be unknown to him. It can, therefore, not be the specific effects in the particular case, but only rules which define kinds of actions prohibited or required, which must serve as guides to the individual.
The great objects which presented themselves [to the Constitutional Convention] ... formed a task more difficult than can be well conceived by those who were not concerned in the execution of it. Adding to these considerations the natural diversity of human opinions on all new and complicated subjects, it is impossible to consider the degree of concord which ultimately prevailed as less than a miracle.
In almost every computation a great variety of arrangements for the succession of the processes is possible, and various considerations must influence the selections amongst them for the purposes of a calculating engine. One essential object is to choose that arrangement which shall tend to reduce to a minimum the time necessary for completing the calculation.
How did Don Jackson influence the field of family therapy? How did Watts influence the steam engine? He made it. Others have refined the steam engine into a better, more efficient machine. I'd say that is what Don did for family therapy, he established the discipline. Others have gone on to refine it.
Most of the guys I've come across in the UFC have always been really polite and are always friendly with each other. We all understand how hard it was to get where we're at and how hard it is to stay there, so it's a mutual respect for each other.
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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