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...your 90MHz Pentium won't have any trouble doing arithmetic (except for certain divisions).
--
1995/3

 

Paul DiLascia

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Militarily it was impossible to invade with the dispositions we had made. We had only seven divisions in Albania. Two of them were necessary to hold the Albanian population from going into revolt. Two others were in reserve. That left us three divisions with which to undertake an offensive. Against us, the Greeks disposed of fifteen divisions. We might have been able to undertake an offensive had those figures been reversed.

 

Pietro Badoglio

 

All things, man included, are parts of one great whole. The object of this chapter is to point out the most obvious and most natural divisions of this whole, which we call the universe. These divisions can never be absolute; the whole is too truly one whole for that, but they are sufficiently real for our present purpose.

 

Richard Maurice Bucke

 

In the early days of the computer revolution computer designers and numerical analysts worked closely together and indeed were often the same people. Now there is a regrettable tendency for numerical analysts to opt out of any responsibility for the design of the arithmetic facilities and a failure to influence the more basic features of software. It is often said that the use of computers for scientific work represents a small part of the market and numerical analysts have resigned themselves to accepting facilities "designed" for other purposes and making the best of them. [...] One of the main virtues of an electronic computer from the point of view of the numerical analyst is its ability to "do arithmetic fast." Need the arithmetic be so bad!

 

James H. Wilkinson

 

Suppose I think, after doing my accounts, that I have a large balance at the bank. And suppose you want to find out whether this belief of mine is “wishful thinking.” You can never come to any conclusion by examining my psychological condition. Your only chance of finding out is to sit down and work through the sum yourself. When you have checked my figures, then, and then only, will you know whether I have that balance or not. If you find my arithmetic correct, then no amount of vapouring about my psychological condition can be anything but a waste of time. If you find my arithmetic wrong, then it may be relevant to explain psychologically how I came to be so bad at my arithmetic, and the doctrine of the concealed wish will become relevant—but only after you have yourself done the sum and discovered me to be wrong on purely arithmetical grounds. It is the same with all thinking and all systems of thought. If you try to find out which are tainted by speculating about the wishes of the thinkers, you are merely making a fool of yourself. You must first find out on purely logical grounds which of them do, in fact, break down as arguments. Afterwards, if you like, go on and discover the psychological causes of the error.

 

C. S. Lewis

 

Conditions to the north of us, in the Voronezh and Steppe Fronts zone of action, and our offensive on Kharkov demands that we not lose time and we commit all forces so that we can draw off as many divisions as possible from Kharkov. And even if we do not draw them off, at least we will not give Manstein the ability to take any of his units from our part of the front. If we attract one or two German tank divisions - it will be the best contribution to the defeat of the enemy in the south.

 

Aleksandr Vasilevsky