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To most it stirs the emotions so deeply that its pleasure vanishes in fatigue if too long endured. The capacity to enjoy music, especially the capacity to express it, is one of the great variables of life.
Omega Centauri and the Hercules cluster are especially remarkable in this respect. The variables found in them are all of short period and the changes of light show a noteworthy tendency to uniformity.
These Variables, which sorely perplex all mariners, even those of most experience, while they drive young ones almost out of their senses, are not less under the dominion of the causes which regulate those great perennial breezes the Trades, blowing to the northward and southward of them.
It is true that Captain Bruce found no variables on his traverse, and that he "never could make easting on either tack." It was the variables or nothing with us, and we prayed for better luck than he had had.
The formula is, in the mathematical phrase, a function of so many independent variables, that it must be complex beyond all conception, if it takes them all into account; while it must yet be necessarily inaccurate if it does not take them into account.
For when two variables are so dependent upon one another in the changes they undergo in accordance with fixed laws that a change in either involves simultaneous and corresponding change in the other, the one is called a function of the other.
To know the laws that govern the winds, and to know that you know them, will give you an easy mind on your voyage round the world; otherwise you may tremble at the appearance of every cloud. What is true of this in the trade-winds is much more so in the variables, where changes run more to extremes.
In order to understand these forms and qualities in their purity it is necessary to separate them from their content and thus one gets the point, without dimensions, the line, without breadth and thickness, a and b, x and y, constants and variables, and we finally first arrive at independent creations of the imagination and intellect, imaginary magnitudes.
As, one after another, the effect upon the cutting speed of each of these variables was investigated, in order that practical use could be made of this knowledge, it was necessary to find a mathematical formula which expressed in concise form the laws which had been obtained. As examples of the twelve formulae which were developed, the three following are given: P = 45,000 D 14/15 F 3/4
But the beliefs are themselves parts of the sum total of the world's experience, and become matter, therefore, for the next day's funding operations. So far as reality means experienceable reality, both it and the truths men gain about it are everlastingly in process of mutation-mutation towards a definite goal, it may be but still mutation. Mathematicians can solve problems with two variables.
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