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Published online by Cambridge University Press: 18 August 2016
We have now to apply the principles laid down in the previous sections to the construction of tables, first of rational, and secondly of irrational, functions. It is only formations of the class last mentioned that are of real importance. A little previous attention to the class first mentioned, however, is desirable, as affording an opportunity of elucidating, under elementary conditions, the arrangement of the work which is found most convenient in practice. The present section will, therefore, be devoted to the formation of successive values of rational functions.
page 298 note * The last step here may well he omitted, since it consists in adding 340 × 10 to 1920, and then subtracting 1920 from the sum. The difference of a function of one dimension is, of course, the product of the first coefficient by the increment of x.
page 301 note * I may mention here that I find the best way of removing extensive pencil writing is to rub it, both before and after using the India-rubber, with a piece of flannel or other woollen cloth. The first application of the woollen, supposing the pencil used to be a good one, leaves little for the India-rubber to do, and the second most effectually removes the greasy feel that always remains more or less after the use of India-rubber, and restores the paper to its pristine state.