Collatz Conjecture/extensions To Larger Domains

Famous quotes containing the words conjecture, extensions, larger and/or domains:

    What these perplexities of my uncle Toby were,—’tis impossible for you to guess;Mif you could,—I should blush ... as an author; inasmuch as I set no small store by myself upon this very account, that my reader has never yet been able to guess at any thing. And ... if I thought you was able to form the least ... conjecture to yourself, of what was to come in the next page,—I would tear it out of my book.
    Laurence Sterne (1713–1768)

    The psychological umbilical cord is more difficult to cut than the real one. We experience our children as extensions of ourselves, and we feel as though their behavior is an expression of something within us...instead of an expression of something in them. We see in our children our own reflection, and when we don’t like what we see, we feel angry at the reflection.
    Elaine Heffner (20th century)

    In the larger view the major forces of the depression now lie outside of the United States, and our recuperation has been retarded by the unwarranted degree of fear and apprehension created by these outside forces.
    Herbert Hoover (1874–1964)

    I shall be a benefactor if I conquer some realms from the night, if I report to the gazettes anything transpiring about us at that season worthy of their attention,—if I can show men that there is some beauty awake while they are asleep,—if I add to the domains of poetry.
    Henry David Thoreau (1817–1862)