Arithmetic Function - Relations Among The Functions

Relations Among The Functions

There are a great many formulas connecting arithmetical functions with each other and with the functions of analysis, especially powers, roots, and the exponential and log functions.

Here are a few examples:

Read more about this topic:  Arithmetic Function

Famous quotes containing the words relations and/or functions:

    “When any one of our relations was found to be a person of a very bad character, a troublesome guest, or one we desired to get rid of, upon his leaving my house I ever took care to lend him a riding-coat, or a pair of boots, or sometimes a horse of small value, and I always had the satisfaction of finding he never came back to return them.”
    —Oliver Goldsmith (1728–1774)

    “The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.”
    —Ralph Waldo Emerson (1803–1882)