 | James Joseph Sylvester - Mathematics - 1912 - 812 pages
...whose leading term is abe or abf is even, as is also that of the remarkable reciprocant bd — oc2 in which no power of a appears. A further important...character it will be seen that if we operate upon 2ac — 362 with the operator a (bSa + cSb) - 3b, * That is of reciprocants and invariants. we obtain... | |
 | Henry John Stephen Smith, James Whitbread Lee Glaisher - Mathematics - 1894 - 846 pages
...whose leading term is abe or abf is even, as is also that of the remarkable reciprocant bd — oc5 in which no power of a appears. A further important...character it will be seen that if we operate upon 2ac — 362 with the operator we obtain a new reciprocant 2ad - Wbc + 96s, of which the character is... | |
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... or even according as the smallest number of letters other than a in any of its terms is odd or even. Thus the character of a reciprocant whose leading term is a*e, or ab'e, or abce is odd ; that of one whose leading term is abe or abf is even, as... 