 | James Joseph Sylvester - Mathematics - 1912 - 812 pages
...depends only on the form of the substitution of x for x. Hence to all intents and purposes, any function of the differences of the Schwarzian derivatives of...ADDENDUM. — Let us for the moment call functions of x, y which either remain unaltered or only change their sign when x and y are interchanged self-reciprocating... | |
 | Henry John Stephen Smith, James Whitbread Lee Glaisher - Mathematics - 1894 - 846 pages
...depends only on the form of the substitution of x for x. Hence to all intents and purposes, any function of the differences of the Schwarzian derivatives of...ADDENDUM. — Let us for the moment call functions of x, y which either remain unaltered or only change their sign when x and y are interchanged self-reciprocating... | |
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... same thing if y and z functions of x when expressed as functions of x (any function of x) are written y, z', then (y, x') — (z>, x') is identical with (y, x)— (z, x), save as to a factor which depends only on the form of the substitution of x... 