Cycles and Fixed Points - Counting Permutations By Number of Fixed Points

Famous quotes containing the words counting, permutations, number, fixed and/or points:

“If all power is in the people, if there is no higher law than their will, and if by counting their votes, their will may be ascertained—then the people may entrust all their power to anyone, and the power of the pretender and the usurper is then legitimate. It is not to be challenged since it came originally from the sovereign people.”
—Walter Lippmann (1889–1974)

“Motherhood in all its guises and permutations is more art than science.”
—Melinda M. Marshall (20th century)

“Without claiming superiority of intellectual over visual understanding, one is nevertheless bound to admit that the cinema allows a number of æsthetic-intellectual means of perception to remain unexercised which cannot but lead to a weakening of judgment.”
—Johan Huizinga (1872–1945)

“The body is but a pair of pincers set over a bellows and a stewpan and the whole fixed upon stilts.”
—Samuel Butler (1835–1902)

“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)